Trowbridge-Reitz Sample, sample surface normal, cosTheta

Time bar (total: 18.3s)

start0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated

analyze1.4s (7.8%)

Memory
8.9MiB live, 1 824.1MiB allocated
Algorithm
1×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)

sample4.5s (24.7%)

Memory
77.6MiB live, 5 856.4MiB allocated
Samples
3.8s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 3.4s
ival-mult: 655.0ms (19.1% of total)
ival-div: 572.0ms (16.7% of total)
ival-cos: 422.0ms (12.3% of total)
ival-tan: 407.0ms (11.8% of total)
ival-sin: 349.0ms (10.2% of total)
ival-<=: 287.0ms (8.4% of total)
const: 271.0ms (7.9% of total)
ival-add: 156.0ms (4.5% of total)
ival-atan: 91.0ms (2.6% of total)
ival-sqrt: 72.0ms (2.1% of total)
ival-pi: 57.0ms (1.7% of total)
ival-and: 44.0ms (1.3% of total)
ival-sub: 35.0ms (1% of total)
exact: 14.0ms (0.4% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

explain483.0ms (2.6%)

Memory
-29.9MiB live, 1 020.3MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1921(0.2359922230243683 5.9239919210085645e-5 0.00021985011699143797 0.00032633100636303425)10(0.6622386574745178 0.0036434647627174854 0.022472994402050972 0.0502602681517601)(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
1914(4.4309739211101373e-10 1.717355303298973e-6 0.8880513310432434 0.0009348388412036002)2(2.697074341995176e-5 0.0006146561354398727 0.0072912960313260555 0.0016690667252987623)(cos.f32 (atan.f32 (*.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-(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)))))))sensitivity1937
tan.f32(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))cancellation18316
Confusion
Predicted +Predicted -
+00
-20749
Precision
0.0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-2071237
Precision?
0.0
Recall?
0/0
Freqs
test
numberfreq
049
138
2169
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-100
Precision?
0.0
Recall?
0/0
Samples
153.0ms512×0valid
Compiler

Compiled 2 564 to 132 computations (94.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 121.0ms
ival-mult: 28.0ms (23.1% of total)
ival-div: 21.0ms (17.3% of total)
ival-tan: 18.0ms (14.8% of total)
ival-sin: 15.0ms (12.4% of total)
ival-cos: 15.0ms (12.4% of total)
ival-add: 7.0ms (5.8% of total)
ival-atan: 6.0ms (4.9% of total)
ival-sub: 5.0ms (4.1% of total)
ival-sqrt: 3.0ms (2.5% of total)
ival-pi: 2.0ms (1.6% of total)
ival-true: 1.0ms (0.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)

preprocess174.0ms (1%)

Memory
17.0MiB live, 213.4MiB allocated
Algorithm
1×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
1×iter limit
1×node limit
1×iter limit
1×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
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.5MiB live, 1.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.4%
(/.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)

simplify136.0ms (0.7%)

Memory
10.8MiB live, 169.1MiB allocated
Algorithm
1×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
1×iter limit
1×node limit
1×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)

localize114.0ms (0.6%)

Memory
-13.2MiB live, 186.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.35546875
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
accuracy0.4772262695368841
(*.f32 (cos.f32 (atan.f32 (*.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))))))))
accuracy12.272835116882677
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
accuracy12.411551932715806
(cos.f32 (atan.f32 (*.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
88.0ms256×0valid
Compiler

Compiled 1 650 to 66 computations (96% saved)

Precisions
Click to see histograms. Total time spent on operations: 74.0ms
ival-mult: 29.0ms (39.2% of total)
ival-div: 10.0ms (13.5% of total)
ival-tan: 10.0ms (13.5% of total)
ival-sin: 8.0ms (10.8% of total)
ival-cos: 7.0ms (9.5% of total)
ival-add: 3.0ms (4.1% of total)
ival-atan: 3.0ms (4.1% of total)
ival-sqrt: 2.0ms (2.7% of total)
ival-pi: 1.0ms (1.4% of total)
ival-sub: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series156.0ms (0.9%)

Memory
15.8MiB live, 210.1MiB allocated
Counts
7 → 57
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))))))))
Outputs
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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
27.0ms
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)))))))))
17.0ms
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)))))))))
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)))))))))
14.0ms
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)))))))))
11.0ms
u1
@0
((+ (* (* 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)))))))))

simplify187.0ms (1%)

Memory
-2.2MiB live, 222.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
052315296
1174712736
0811411871
Stop Event
1×iter limit
1×node limit
Counts
57 → 57
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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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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(pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)
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(* 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)))))
(* -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))))
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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))) (/ (* 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) (- (* -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 (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2))
(/.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 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))
(/.f32 (fma.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 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))) (*.f32 alphax alphax))
(+ 1 (* -1/2 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
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(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))) #s(literal 1 binary32)) #s(literal 3 binary32))) #s(literal -3/4 binary32) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 (pow.f32 alphay #s(literal 6 binary32)) 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))) (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))) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 (fma.f32 (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.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))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (pow.f32 alphax #s(literal 4 binary32))) #s(literal -1/2 binary32))) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (pow.f32 alphay #s(literal 4 binary32)) alphax) alphax)) (*.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 4 binary32))) (/.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 #s(literal 1 binary32) u0)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.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))) #s(literal 1 binary32)) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.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))) #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)))) (/ 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))
(* (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))))
(*.f32 (fma.f32 (fma.f32 (neg.f32 (/.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 (*.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 alphax #s(literal 4 binary32)))) (/.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 4 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 6 binary32))))) (*.f32 alphay alphay) (/.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 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 (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))))
(*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 (neg.f32 (*.f32 alphay (/.f32 alphay (pow.f32 alphax #s(literal 6 binary32))))) (/.f32 (*.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 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 8 binary32))) (*.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 6 binary32))) (/.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 4 binary32)) (pow.f32 alphax #s(literal 4 binary32))))) (*.f32 alphay alphay)) (*.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 4 binary32))) (/.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 alphay alphay) (/.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 alphay alphay))
(/ (+ (/ (* (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))
(/.f32 (fma.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) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (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))
(+ 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)))))
(fma.f32 (/.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) 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))) #s(literal 1 binary32))
(+ 1 (* (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))))))))) 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 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)))) (* 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)))))))) (* -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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(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))) #s(literal -1/2 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))))))

rewrite193.0ms (1.1%)

Memory
3.4MiB live, 282.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032310
057205
1228188
22076188
08656178
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
7 → 289
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))))))))
Outputs
(*.f32 (-.f32 (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32) (*.f32 #s(literal -1/2 binary32) (PI.f32)))))
(*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 u1 (PI.f32)) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32))) (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)))))) (neg.f32 (neg.f32 (fma.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32) (*.f32 #s(literal -1/2 binary32) (PI.f32))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (pow.f32 (*.f32 u1 (PI.f32)) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))))))
(/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32))) (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32))) (-.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32))))) (neg.f32 (fma.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32) (*.f32 #s(literal -1/2 binary32) (PI.f32)))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)) (-.f32 (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (PI.f32))))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (pow.f32 (*.f32 u1 (PI.f32)) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))))))
(/.f32 (-.f32 (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)))) (fma.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32) (*.f32 #s(literal -1/2 binary32) (PI.f32))))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 3 binary32))) (fma.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)) (-.f32 (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (PI.f32)))))
(/.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 3 binary32))) (fma.f32 (pow.f32 (*.f32 u1 (PI.f32)) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32) (*.f32 #s(literal -1/2 binary32) (PI.f32))) (-.f32 (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (pow.f32 (*.f32 u1 (PI.f32)) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (fma.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32) (*.f32 #s(literal -1/2 binary32) (PI.f32))) (-.f32 (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (pow.f32 (*.f32 u1 (PI.f32)) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (fma.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 3 binary32)))))
(-.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32))) (-.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))))
(-.f32 (/.f32 (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32)) (fma.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32) (*.f32 #s(literal -1/2 binary32) (PI.f32)))) (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32) (*.f32 #s(literal -1/2 binary32) (PI.f32)))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 (*.f32 #s(literal 1/2 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (*.f32 u1 (PI.f32)) #s(literal 2 binary32) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) #s(literal 1/2 binary32)) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 #s(literal 1 binary32) (*.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))))
(fma.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1 (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (PI.f32) (*.f32 #s(literal 2 binary32) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(fma.f32 (PI.f32) #s(literal 1/2 binary32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))
(fma.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(pow.f32 (/.f32 (fma.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32) (*.f32 #s(literal -1/2 binary32) (PI.f32))) (-.f32 (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (pow.f32 (*.f32 u1 (PI.f32)) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (fma.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(+.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))
(+.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(*.f32 (/.f32 u0 #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (+.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 (+.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 binary32)) #s(literal 1/2 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)))) (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)))))
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(/.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)))) #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))))
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(/.f32 (neg.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))))) (neg.f32 (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)))))
(/.f32 (neg.f32 (+.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 binary32))) #s(literal -2 binary32))
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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)))) (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))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (+.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 binary32))))
(/.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 (/.f32 #s(literal 1/4 binary32) (pow.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)))) #s(literal 2 binary32))) (/.f32 (pow.f32 (*.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 2 binary32)) (pow.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)))) #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))
(fma.f32 #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))) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 (log.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 #s(literal 2 binary32) (+.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 binary32))) #s(literal -1 binary32))
(pow.f32 (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))) #s(literal -2 binary32))
(pow.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)) #s(literal -1 binary32))
(pow.f32 (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)) #s(literal 1 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))
(+.f32 (*.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 #s(literal 1/2 binary32) (*.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)))
(exp.f32 (*.f32 (log.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)))

eval146.0ms (0.8%)

Memory
16.7MiB live, 264.8MiB allocated
Compiler

Compiled 60 430 to 5 318 computations (91.2% saved)

prune36.0ms (0.2%)

Memory
3.0MiB live, 80.0MiB allocated
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New52317540
Fresh000
Picked011
Done000
Total52318541
Accuracy
99.9%
Counts
541 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.9%
(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))
▶87.1%
(/.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))))
44.9%
(/.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)))))
53.6%
(/.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)))))
▶52.8%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 2 binary32) (*.f32 alphax alphax)) (/.f32 (*.f32 (cos.f32 (/.f32 (fma.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 0 binary32)) #s(literal 2 binary32))) (cos.f32 (/.f32 (-.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 0 binary32)) #s(literal 2 binary32)))) #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)))))
52.6%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 1 binary32) alphay) (/.f32 (pow.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)))) #s(literal 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)))))
60.7%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (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)) alphay (*.f32 (*.f32 alphax alphax) (/.f32 (pow.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)))) #s(literal 2 binary32)) alphay))) (*.f32 (*.f32 alphax alphax) alphay))) u0) (-.f32 #s(literal 1 binary32) u0)))))
84.7%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (neg.f32 (pow.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)))) #s(literal 2 binary32))) (*.f32 alphax alphax) (*.f32 (*.f32 (neg.f32 alphay) alphay) (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)))) (*.f32 (*.f32 (neg.f32 alphay) alphay) (*.f32 alphax alphax)))) 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 (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)))))
▶92.9%
(/.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)))))
✓99.4%
(/.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)))))
90.4%
(/.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) (fma.f32 #s(literal 2 binary32) u1 #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 (*.f32 (cos.f32 (atan.f32 (*.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)))))
21.8%
(/.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 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)))) (-.f32 #s(literal 1 binary32) u0)))))
▶98.0%
#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 (/.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)))))
▶91.2%
#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))))) #s(literal 1 binary32))
Compiler

Compiled 2 892 to 1 364 computations (52.8% saved)

simplify127.0ms (0.7%)

Memory
2.7MiB live, 122.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff160
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 2 binary32) (*.f32 alphax alphax)) (/.f32 (*.f32 (cos.f32 (/.f32 (fma.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 0 binary32)) #s(literal 2 binary32))) (cos.f32 (/.f32 (-.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 0 binary32)) #s(literal 2 binary32)))) #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)
cost-diff512
(/.f32 (-.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 0 binary32)) #s(literal 2 binary32))
cost-diff512
(/.f32 (fma.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 0 binary32)) #s(literal 2 binary32))
cost-diff8000
(fma.f32 (/.f32 #s(literal 2 binary32) (*.f32 alphax alphax)) (/.f32 (*.f32 (cos.f32 (/.f32 (fma.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 0 binary32)) #s(literal 2 binary32))) (cos.f32 (/.f32 (-.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 0 binary32)) #s(literal 2 binary32)))) #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)))
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 (/.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)
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 (/.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-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-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)))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01142825
01972399
13132201
24722159
38552151
422212151
553342151
083532143
Stop Event
1×iter limit
1×node limit
1×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) (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)))
#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)
#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)
(/.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))))
#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)))
(+.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))
(/.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))))
(/.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)))
(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))
(/.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)
(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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#s(literal 1 binary32)
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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
(*.f32 alphax alphax)
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(atan.f32 (*.f32 (/.f32 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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(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)
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#s(literal 1 binary32)
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(/.f32 #s(literal 2 binary32) (*.f32 alphax alphax))
#s(literal 2 binary32)
(*.f32 alphax alphax)
alphax
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(/.f32 (fma.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 0 binary32)) #s(literal 2 binary32))
(fma.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 0 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))
(/.f32 alphay alphax)
alphay
#s(literal 0 binary32)
(cos.f32 (/.f32 (-.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 0 binary32)) #s(literal 2 binary32)))
(/.f32 (-.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 0 binary32)) #s(literal 2 binary32))
(-.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 0 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))
(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))
(/.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)
(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))))
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) (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(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) (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 (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) (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 (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) (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 (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) (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 (/.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))))
(/.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 (/.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)))
(/.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) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #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 (/.f32 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) (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)
#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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(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(-.f32 #s(literal 1 binary32) u0)
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(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)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)
u1
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 alphay alphax)
alphay
alphax
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#s(literal 1 binary32)
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(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 (fma.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 0 binary32)) #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)))
(fma.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 0 binary32))
(*.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 (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)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)
u1
(*.f32 (PI.f32) #s(literal 2 binary32))
(/.f32 alphay alphax)
alphay
#s(literal 0 binary32)
(cos.f32 (/.f32 (-.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 0 binary32)) #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 (*.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 0 binary32)) #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 (*.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 0 binary32))
(*.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 (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 (*.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 (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))))
u0
(-.f32 #s(literal 1 binary32) u0)

localize424.0ms (2.3%)

Memory
-19.8MiB live, 595.7MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy12.411551932715806
(cos.f32 (/.f32 (fma.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 0 binary32)) #s(literal 2 binary32)))
accuracy12.411551932715806
(cos.f32 (/.f32 (-.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 0 binary32)) #s(literal 2 binary32)))
accuracy26.398362094431366
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))
accuracy29.886873986849956
(fma.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 0 binary32))
accuracy0.533535009768442
(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))
accuracy12.272835116882677
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy12.272835116882677
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
accuracy26.398362094431366
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))
accuracy0.5546875
(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))
accuracy12.272835116882677
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy12.411551932715806
(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))))
accuracy26.398362094431366
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))
accuracy2.8116782768498867
#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))
accuracy0.4772262695368841
(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))
accuracy12.193622740928953
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))
accuracy12.411551932715806
(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)))))))
accuracy27.918996741310067
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
Samples
293.0ms256×0valid
Compiler

Compiled 5 716 to 218 computations (96.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 251.0ms
ival-div: 48.0ms (19.1% of total)
ival-mult: 43.0ms (17.1% of total)
ival-cos: 39.0ms (15.5% of total)
ival-tan: 30.0ms (11.9% of total)
ival-sin: 22.0ms (8.8% of total)
ival-add: 16.0ms (6.4% of total)
ival-pow2: 12.0ms (4.8% of total)
ival-cosu: 10.0ms (4% of total)
ival-sinu: 9.0ms (3.6% of total)
ival-atan: 8.0ms (3.2% of total)
ival-sqrt: 8.0ms (3.2% of total)
ival-sub: 2.0ms (0.8% of total)
ival-pi: 1.0ms (0.4% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series429.0ms (2.3%)

Memory
18.8MiB live, 487.7MiB allocated
Counts
28 → 213
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) (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))
#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))
(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)))
(+.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))
(/.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 (/.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)
(fma.f32 (/.f32 #s(literal 2 binary32) (*.f32 alphax alphax)) (/.f32 (*.f32 (cos.f32 (/.f32 (fma.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 0 binary32)) #s(literal 2 binary32))) (cos.f32 (/.f32 (-.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 0 binary32)) #s(literal 2 binary32)))) #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)))
(/.f32 (fma.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 0 binary32)) #s(literal 2 binary32))
(/.f32 (-.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 0 binary32)) #s(literal 2 binary32))
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(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
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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))))))))
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(+ 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))))))))
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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)))))))
(+ 1 (* u0 (- (* u0 (- (+ (* 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 (+ (/ (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 (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)))))))
(+ 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 (* (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 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) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ u0 (* (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 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))))) (/ u0 (* (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) (+ (* -1 (/ (+ (* -1 (/ u0 (* (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 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) (+ (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 6) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphax 6) (* (pow (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))))))))) 4)))))))) (+ (* -1 (/ u0 (* (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 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))))) (/ u0 (* (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 (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 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))))
(* (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))))
(* (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 (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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(+ (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)))))) (* 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(/ (* (pow alphay 2) u0) (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3)))) (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2)))) (pow alphay 4))) (/ u0 (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2)))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2)))) (+ (/ (* (pow alphax 2) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3)))) (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2)))))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) (/ (* (pow alphax 6) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 10))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 10) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3))))) (pow alphay 6))) (/ u0 (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow alphay 4) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow alphay 4) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2))))))))
(+ (* -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)))))
Calls

12 calls:

TimeVariablePointExpression
63.0ms
u0
@0
((/ 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) (/ 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))))) (+ (* 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)) (+ (/ (/ 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) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) 2) 1)) (* 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) (+ (* (/ 2 (* alphax alphax)) (/ (* (cos (/ (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2)) (cos (/ (- (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2))) 2)) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2)) (/ (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2) (/ (- (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2) (* (/ 1 (+ (* (/ 2 (* alphax alphax)) (/ (* (cos (/ (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2)) (cos (/ (- (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2))) 2)) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2))) u0) (+ (* 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) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (pow (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) 2) (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) (cos (/ (- (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2)) (cos (/ (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2)))
40.0ms
u1
@-inf
((/ 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) (/ 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))))) (+ (* 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)) (+ (/ (/ 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) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) 2) 1)) (* 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) (+ (* (/ 2 (* alphax alphax)) (/ (* (cos (/ (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2)) (cos (/ (- (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2))) 2)) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2)) (/ (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2) (/ (- (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2) (* (/ 1 (+ (* (/ 2 (* alphax alphax)) (/ (* (cos (/ (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2)) (cos (/ (- (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2))) 2)) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2))) u0) (+ (* 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) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (pow (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) 2) (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) (cos (/ (- (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2)) (cos (/ (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2)))
37.0ms
alphay
@-inf
((/ 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) (/ 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))))) (+ (* 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)) (+ (/ (/ 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) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) 2) 1)) (* 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) (+ (* (/ 2 (* alphax alphax)) (/ (* (cos (/ (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2)) (cos (/ (- (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2))) 2)) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2)) (/ (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2) (/ (- (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2) (* (/ 1 (+ (* (/ 2 (* alphax alphax)) (/ (* (cos (/ (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2)) (cos (/ (- (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2))) 2)) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2))) u0) (+ (* 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) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (pow (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) 2) (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) (cos (/ (- (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2)) (cos (/ (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2)))
31.0ms
alphay
@inf
((/ 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) (/ 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))))) (+ (* 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)) (+ (/ (/ 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) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) 2) 1)) (* 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) (+ (* (/ 2 (* alphax alphax)) (/ (* (cos (/ (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2)) (cos (/ (- (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2))) 2)) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2)) (/ (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2) (/ (- (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2) (* (/ 1 (+ (* (/ 2 (* alphax alphax)) (/ (* (cos (/ (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2)) (cos (/ (- (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2))) 2)) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2))) u0) (+ (* 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) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (pow (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) 2) (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) (cos (/ (- (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2)) (cos (/ (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2)))
28.0ms
u0
@inf
((/ 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) (/ 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))))) (+ (* 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)) (+ (/ (/ 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) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) 2) 1)) (* 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) (+ (* (/ 2 (* alphax alphax)) (/ (* (cos (/ (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2)) (cos (/ (- (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2))) 2)) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2)) (/ (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2) (/ (- (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2) (* (/ 1 (+ (* (/ 2 (* alphax alphax)) (/ (* (cos (/ (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2)) (cos (/ (- (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2))) 2)) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2))) u0) (+ (* 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) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (pow (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) 2) (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) (cos (/ (- (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2)) (cos (/ (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2)))

simplify639.0ms (3.5%)

Memory
-166.7MiB live, 291.6MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0169053630
1660253450
0811749908
Stop Event
1×iter limit
1×node limit
Counts
213 → 213
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 (* (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 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) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ u0 (* (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 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))))) (/ u0 (* (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) (+ (* -1 (/ (+ (* -1 (/ u0 (* (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 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) (+ (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 6) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphax 6) (* (pow (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))))))))) 4)))))))) (+ (* -1 (/ u0 (* (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 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))))) (/ u0 (* (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 (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 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))))
(* (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))))
(* (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 (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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(+ (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)))))) (* 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(/ (* (pow alphay 2) u0) (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3)))) (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2)))) (pow alphay 4))) (/ u0 (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2)))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2)))) (+ (/ (* (pow alphax 2) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3)))) (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2)))))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) (/ (* (pow alphax 6) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 10))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 10) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3))))) (pow alphay 6))) (/ u0 (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow alphay 4) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3))))) (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow alphay 4) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2))))))))
(+ (* -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)))))
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 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))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #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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(atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 2 u1))
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))
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(cos (* 1/2 (PI)))
(cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(+ (cos (* 1/2 (PI))) (* -2 (* u1 (* (PI) (sin (* 1/2 (PI)))))))
(fma.f32 (*.f32 #s(literal -2 binary32) u1) (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
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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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(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))
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(/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI))))
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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 alphax alphax) (-.f32 (*.f32 (/.f32 (/.f32 (*.f32 u0 u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) #s(literal -3/4 binary32)) (*.f32 (/.f32 u0 (*.f32 alphay alphay)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) 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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)))))
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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) (-.f32 (*.f32 (/.f32 (/.f32 (*.f32 u0 u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) #s(literal -3/4 binary32)) (*.f32 (/.f32 u0 (*.f32 alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))))) (*.f32 alphay alphay) (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphay alphay) #s(literal 1 binary32))
(+ 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)))))
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(+ 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))))))
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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 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))))))) #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 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))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #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 (+ (* 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 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))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 6 binary32)) (pow.f32 alphax #s(literal 4 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 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))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #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 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))))))) #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 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 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))))))) #s(literal 2 binary32))) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 alphax alphax)) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 4 binary32)))) (*.f32 alphay alphay))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ u0 (* (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 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))))) (/ u0 (* (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))))))
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(-.f32 (/.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (*.f32 (/.f32 (pow.f32 alphax #s(literal 4 binary32)) (*.f32 alphay alphay)) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32)) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 4 binary32)))))
(- (+ (/ (* (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))))
(-.f32 (fma.f32 (/.f32 (pow.f32 alphax #s(literal 6 binary32)) (pow.f32 alphay #s(literal 4 binary32))) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 4 binary32)) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 6 binary32))) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32)))) (*.f32 (/.f32 (pow.f32 alphax #s(literal 4 binary32)) (*.f32 alphay alphay)) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32)) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 4 binary32)))))
(- (+ (* -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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rewrite337.0ms (1.8%)

Memory
14.3MiB live, 285.6MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01061065
0181980
1762711
27137711
08589711
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
28 → 758
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) (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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#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))
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))
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(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
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(/.f32 (fma.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 0 binary32)) #s(literal 2 binary32))
(/.f32 (-.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 0 binary32)) #s(literal 2 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 2 binary32) (*.f32 alphax alphax)) (/.f32 (*.f32 (cos.f32 (/.f32 (fma.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 0 binary32)) #s(literal 2 binary32))) (cos.f32 (/.f32 (-.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 0 binary32)) #s(literal 2 binary32)))) #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)
(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))
(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 (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))
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.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))
(fma.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 0 binary32))
(cos.f32 (/.f32 (-.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 0 binary32)) #s(literal 2 binary32)))
(cos.f32 (/.f32 (fma.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 0 binary32)) #s(literal 2 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))))) (pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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)))) alphax) #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)))) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) #s(literal 1 binary32))))
(pow.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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)))) alphax) #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)))) #s(literal 1 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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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)))) alphax) #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)))) #s(literal 1 binary32)))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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)))) alphax) #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)))))) #s(literal 1/2 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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)))) alphax) #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)))) #s(literal 1 binary32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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)))) alphax) #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)))) #s(literal 2 binary32)) #s(literal 1 binary32))) (-.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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)))) alphax) #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)))) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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)))) alphax) #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)))) #s(literal 3 binary32)) #s(literal 1 binary32))) (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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)))) alphax) #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))))) (pow.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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)))) alphax) #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)))) #s(literal 2 binary32))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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)))) alphax) #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))))) #s(literal -1 binary32))))
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(fma.f32 (/.f32 (pow.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 2 binary32)) (pow.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 2 binary32))) (*.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 0 binary32))
(fma.f32 (/.f32 (pow.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 2 binary32)) (*.f32 (pow.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 3 binary32)) #s(literal 8 binary32))) (pow.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 2 binary32)) #s(literal 0 binary32))
(fma.f32 (*.f32 (pow.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 3 binary32)) #s(literal 8 binary32)) (/.f32 #s(literal 1 binary32) (pow.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 2 binary32))) #s(literal 0 binary32))
(fma.f32 (pow.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 2 binary32)) (/.f32 #s(literal 1 binary32) (*.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 0 binary32))
(fma.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 0 binary32))
(fma.f32 #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))) #s(literal 0 binary32))
(+.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 0 binary32))
(+.f32 #s(literal 0 binary32) (*.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 (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))))
(atan2.f32 (fma.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))) (-.f32 #s(literal 1 binary32) (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))))
(-.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))) (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 (sin.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))) (sin.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 (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 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 1/2 binary32)))) (*.f32 (sin.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 1/2 binary32))) (sin.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 1/2 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 1 binary32))) #s(literal 1 binary32)) (*.f32 (sin.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 1 binary32))) #s(literal 0 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 1 binary32))) #s(literal 1 binary32) (*.f32 (sin.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 1 binary32))) #s(literal 0 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 1 binary32))) #s(literal 1 binary32)) (*.f32 (sin.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 1 binary32))) #s(literal 0 binary32)))
(cos.f32 (/.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 -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 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))) (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 (sin.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))) (sin.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 (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 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 1/2 binary32)))) (*.f32 (sin.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 1/2 binary32))) (sin.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 1/2 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 1 binary32))) #s(literal 1 binary32)) (*.f32 (sin.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 1 binary32))) #s(literal 0 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 1 binary32))) #s(literal 1 binary32) (*.f32 (sin.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 1 binary32))) #s(literal 0 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 1 binary32))) #s(literal 1 binary32)) (*.f32 (sin.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 1 binary32))) #s(literal 0 binary32)))
(cos.f32 (/.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 -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 1 binary32)))

eval497.0ms (2.7%)

Memory
29.4MiB live, 417.3MiB allocated
Compiler

Compiled 166 230 to 11 454 computations (93.1% saved)

prune107.0ms (0.6%)

Memory
-20.1MiB live, 110.5MiB allocated
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New1 198151 213
Fresh11112
Picked325
Done101
Total1 213181 231
Accuracy
99.9%
Counts
1 231 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.7%
(/.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 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))))
✓87.1%
(/.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))))
53.8%
(/.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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))))
▶85.9%
(/.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)) (/.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 (*.f32 alphax alphax) #s(literal 2 binary32))))) #s(literal 1 binary32))))
▶93.1%
(/.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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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))))
55.5%
(/.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)))))
▶97.8%
(/.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 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 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)))))
▶99.4%
(/.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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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)))))
97.8%
(/.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 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.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)))))
97.3%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.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))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
21.8%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (* (/ 2 (* alphax alphax)) (/ (* (cos (/ (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2)) (cos (/ (- (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2))) 2)) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2))) u0) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
34.7%
(/.f32 #s(literal 1 binary32) #s(approx (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)) (fma.f32 (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) #s(literal 1 binary32))))
90.5%
#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))))) (pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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)))) alphax) #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)))) #s(literal 1 binary32)) #s(literal -1/2 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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) #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 (+.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)))))
▶6.5%
#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 #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)) (fma.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (neg.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #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 #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 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))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))))))
✓91.2%
#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))))) #s(literal 1 binary32))
Compiler

Compiled 3 412 to 1 626 computations (52.3% saved)

simplify276.0ms (1.5%)

Memory
-4.1MiB live, 191.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01473091
02512523
14112501
25952496
311922496
437382496
570822496
081692480
Stop Event
1×iter limit
1×node limit
1×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 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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)))))
#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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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))))
(+.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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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))))
(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 alphax alphax))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(+.f32 (pow.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32))
(*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax))
(tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
u1
(*.f32 (PI.f32) #s(literal 1/2 binary32))
#s(literal 1/2 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 #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)) (fma.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (neg.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))
(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)) (fma.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (neg.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
#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)) (fma.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (neg.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
(fma.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (neg.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
(/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32)))
(*.f32 alphay alphay)
alphay
(pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))
(sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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)))))))
(atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))
(*.f32 (/.f32 alphay alphax) (/.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)))))
(/.f32 alphay alphax)
alphax
(/.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 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)
(cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
(neg.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(-.f32 #s(literal 1 binary32) u0)
#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 (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)) (/.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 (*.f32 alphax alphax) #s(literal 2 binary32))))) #s(literal 1 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)) (/.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 (*.f32 alphax alphax) #s(literal 2 binary32))))) #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)) (/.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 (*.f32 alphax alphax) #s(literal 2 binary32))))) #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)) (/.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 (*.f32 alphax alphax) #s(literal 2 binary32)))))
(/.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)) (/.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 (*.f32 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))
(/.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)
(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
(/.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 (*.f32 alphax alphax) #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))
(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 (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 (*.f32 alphax alphax) #s(literal 2 binary32))
(*.f32 alphax alphax)
(/.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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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 binary32)
(sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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)))
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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))
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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 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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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)))
(pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32))
(/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphay)
(sin.f32 (atan.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax))))
(atan.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))
(*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax))
(tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)
(*.f32 (PI.f32) #s(literal 2 binary32))
(PI.f32)
#s(literal 2 binary32)
u1
(*.f32 (PI.f32) #s(literal 1/2 binary32))
#s(literal 1/2 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))
(/.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))))
(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))))
(*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))
(/.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 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 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)))))
#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 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 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))))
(+.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 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 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)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 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))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 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) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 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))))
(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 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)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 alphax alphax))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))
(pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32))
(*.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax))
(tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
#s(literal 2 binary32)
(*.f32 (PI.f32) u1)
(PI.f32)
u1
(*.f32 (PI.f32) #s(literal 1/2 binary32))
#s(literal 1/2 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)
Outputs
(/.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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 u0 #s(literal 1 binary32))) (+.f32 (pow.f32 (/.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)))))) alphay) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) alphax) (fma.f32 (pow.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 alphax)))))))
#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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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))))
(sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 u0 #s(literal 1 binary32))) (+.f32 (pow.f32 (/.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)))))) alphay) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) alphax) (fma.f32 (pow.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 alphax))))))
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(*.f32 alphay alphay)
alphay
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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 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))
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)))
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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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#s(literal 1 binary32)
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u0
(-.f32 #s(literal 1 binary32) u0)
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(/.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)))))) alphay)
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(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))
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(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)))
(*.f32 u1 (*.f32 #s(literal 2 binary32) (PI.f32)))
u1
(*.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (PI.f32))
#s(literal 2 binary32)
(/.f32 alphay alphax)
alphay
alphax
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(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))
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(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 (*.f32 alphax alphax) #s(literal 2 binary32))
(*.f32 alphax alphax)
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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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
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(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)
(*.f32 u1 (*.f32 #s(literal 2 binary32) (PI.f32)))
(*.f32 (PI.f32) #s(literal 2 binary32))
(*.f32 #s(literal 2 binary32) (PI.f32))
(PI.f32)
#s(literal 2 binary32)
u1
(*.f32 (PI.f32) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (PI.f32))
#s(literal 1/2 binary32)
(/.f32 alphay alphax)
alphay
alphax
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(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))
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(*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #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)))))
(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))
(*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))
(*.f32 u1 (*.f32 #s(literal 2 binary32) (PI.f32)))
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#s(literal 1 binary32)
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(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 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)))
(+.f32 (pow.f32 (/.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)))))) alphay) #s(literal 2 binary32)) (/.f32 (/.f32 #s(literal 1 binary32) alphax) (fma.f32 (pow.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 alphax)))
(/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 alphax alphax))
(/.f32 (/.f32 #s(literal 1 binary32) alphax) (fma.f32 (pow.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 alphax))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (pow.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 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))
(+.f32 (pow.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 (*.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32))
(pow.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 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax))
(*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))
(tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
(fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))
#s(literal 2 binary32)
(*.f32 (PI.f32) u1)
(*.f32 u1 (PI.f32))
(PI.f32)
u1
(*.f32 (PI.f32) #s(literal 1/2 binary32))
(*.f32 #s(literal 1/2 binary32) (PI.f32))
#s(literal 1/2 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))
(pow.f32 (/.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)))))) alphay) #s(literal 2 binary32))
(*.f32 (sin.f32 (atan.f32 (*.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 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.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)))))))
(sin.f32 (atan.f32 (*.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 (fma.f32 u1 #s(literal 2 binary32) #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))))))
(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 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 (fma.f32 u1 #s(literal 2 binary32) #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))))
(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 #s(literal 2 binary32) (PI.f32)))
(*.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)

localize854.0ms (4.7%)

Memory
21.3MiB live, 1 140.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.533535009768442
(pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32))
accuracy9.675848843034432
(fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
accuracy12.272835116882677
(tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
accuracy12.272835116882677
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
accuracy12.272835116882677
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy12.272835116882677
(tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
accuracy12.411551932715806
(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))))
accuracy26.398362094431366
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))
accuracy12.272835116882677
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy12.272835116882677
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
accuracy19.356407270615414
(+.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))
accuracy26.398362094431366
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))
accuracy1.5000069022940459
#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)) (fma.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (neg.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
accuracy3.3735260844245785
(fma.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (neg.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
accuracy12.193622740928953
(cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
accuracy26.958880803573393
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))
accuracy0.35546875
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
accuracy0.533535009768442
(pow.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32))
accuracy12.272835116882677
(tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
accuracy12.272835116882677
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
Samples
624.0ms247×0valid
51.0ms9×1valid
Compiler

Compiled 6 076 to 283 computations (95.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 581.0ms
ival-cosu: 104.0ms (17.9% of total)
ival-sin: 88.0ms (15.1% of total)
ival-mult: 85.0ms (14.6% of total)
ival-tanu: 69.0ms (11.9% of total)
ival-div: 56.0ms (9.6% of total)
ival-tan: 45.0ms (7.7% of total)
ival-cos: 32.0ms (5.5% of total)
ival-add: 25.0ms (4.3% of total)
ival-pow2: 23.0ms (4% of total)
ival-sinu: 22.0ms (3.8% of total)
ival-atan: 15.0ms (2.6% of total)
ival-sqrt: 11.0ms (1.9% of total)
adjust: 2.0ms (0.3% of total)
ival-sub: 1.0ms (0.2% of total)
ival-pi: 1.0ms (0.2% of total)
ival-neg: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series441.0ms (2.4%)

Memory
6.5MiB live, 711.5MiB allocated
Counts
28 → 238
Calls
Call 1
Inputs
(/.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 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(+.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 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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)
(neg.f32 (/.f32 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 #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)) (fma.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (neg.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))
(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)) (fma.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (neg.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
#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)) (fma.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (neg.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #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)) (/.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 (*.f32 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)) (/.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 (*.f32 alphax alphax) #s(literal 2 binary32))))) #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)) (/.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 (*.f32 alphax 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 (sin.f32 (atan.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 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)
(fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.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))))
(tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(pow.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32))
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))
(cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
(fma.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (neg.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 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))
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #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)))))
(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 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32))
Outputs
(/ u0 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 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 u0) 1))
(* u0 (- (* u0 (- (* -1 u0) 1)) 1))
(* u0 (- (* u0 (- (* u0 (- (* -1 u0) 1)) 1)) 1))
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))))))))
(+ 1 (* -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))))))
(+ 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)))))))
(+ 1 (* u0 (- (* u0 (- (+ (* 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 (+ (/ (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 (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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(+ 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 (+ (* -1 (/ (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)))) (* -1/2 (/ (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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)))) (+ (* 1/4 (/ (* u0 (pow (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 2)) (* (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 (/ (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)))) (+ (* -1/2 (/ (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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))))) (* 1/4 (/ (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))))))) (* (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 u0 2) (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (pow (- 1 u0) 2)))))))))) (* -1/2 (+ (* -1 (/ (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)))) (+ (* -1/2 (/ (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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))))) (* 1/4 (/ (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))))))))))))
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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) (+ (* -1/2 (/ (* 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)))) (* 1/2 (/ (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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)))) (* -1/4 (/ (* u0 (pow (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 2)) (* (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 (+ (* 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)))) (* 1/2 (/ (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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) (+ (* -1/2 (/ (* (pow alphay 2) (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) (* (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) (- (* 1/4 (/ (* (pow alphay 2) (* u0 (pow (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 2))) (* (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 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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) (+ (* 1/4 (/ (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)))))))
(+ 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) (+ (/ u0 (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2))))))
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(+ (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 (+ 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 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) (- 1 u0)))) (* 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) (* (+ 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)))) (pow (- 1 u0) 2)))))) (pow alphay 4)) (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 (/ (* (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 (+ 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 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) (- 1 u0)))) (* 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) (* (+ 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)))) (pow (- 1 u0) 2)))))) (pow alphay 4)) (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 (* (/ (+ (* 1/2 (/ (* (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 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) (- 1 u0)))) (* 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) (* (+ 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)))) (pow (- 1 u0) 2))))))))) (* (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 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) (- 1 u0)))) (pow alphay 6)) (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 (/ (* (pow alphay 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 (/ 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))))
Calls

12 calls:

TimeVariablePointExpression
86.0ms
alphay
@inf
((/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)) (+ (* (* (PI) 2) u1) (* (PI) 1/2)) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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) (neg (/ u0 (- 1 u0))) (/ 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)) (+ (* 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) (/ (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (* (* alphax alphax) 2)))) 1))) (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (/ (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (* (* alphax alphax) 2)))) 1)) (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (/ (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (* (* alphax alphax) 2)))) 1) (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ 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 (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1)) (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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) (+ (* 2 (* (PI) u1)) (* (PI) 1/2)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) (+ (* u1 2) 1/2) (cos (* (+ (* u1 2) 1/2) (PI))) (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (tan (* (+ (* u1 2) 1/2) (PI))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2))) (pow (* (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2))) (/ alphay alphax)) 2))
48.0ms
alphax
@inf
((/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)) (+ (* (* (PI) 2) u1) (* (PI) 1/2)) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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) (neg (/ u0 (- 1 u0))) (/ 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)) (+ (* 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) (/ (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (* (* alphax alphax) 2)))) 1))) (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (/ (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (* (* alphax alphax) 2)))) 1)) (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (/ (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (* (* alphax alphax) 2)))) 1) (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ 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 (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1)) (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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) (+ (* 2 (* (PI) u1)) (* (PI) 1/2)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) (+ (* u1 2) 1/2) (cos (* (+ (* u1 2) 1/2) (PI))) (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (tan (* (+ (* u1 2) 1/2) (PI))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2))) (pow (* (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2))) (/ alphay alphax)) 2))
41.0ms
alphay
@-inf
((/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)) (+ (* (* (PI) 2) u1) (* (PI) 1/2)) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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) (neg (/ u0 (- 1 u0))) (/ 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)) (+ (* 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) (/ (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (* (* alphax alphax) 2)))) 1))) (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (/ (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (* (* alphax alphax) 2)))) 1)) (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (/ (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (* (* alphax alphax) 2)))) 1) (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ 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 (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1)) (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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) (+ (* 2 (* (PI) u1)) (* (PI) 1/2)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) (+ (* u1 2) 1/2) (cos (* (+ (* u1 2) 1/2) (PI))) (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (tan (* (+ (* u1 2) 1/2) (PI))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2))) (pow (* (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2))) (/ alphay alphax)) 2))
38.0ms
u0
@-inf
((/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)) (+ (* (* (PI) 2) u1) (* (PI) 1/2)) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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) (neg (/ u0 (- 1 u0))) (/ 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)) (+ (* 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) (/ (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (* (* alphax alphax) 2)))) 1))) (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (/ (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (* (* alphax alphax) 2)))) 1)) (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (/ (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (* (* alphax alphax) 2)))) 1) (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ 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 (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1)) (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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) (+ (* 2 (* (PI) u1)) (* (PI) 1/2)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) (+ (* u1 2) 1/2) (cos (* (+ (* u1 2) 1/2) (PI))) (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (tan (* (+ (* u1 2) 1/2) (PI))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2))) (pow (* (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2))) (/ alphay alphax)) 2))
37.0ms
alphax
@0
((/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)) (+ (* (* (PI) 2) u1) (* (PI) 1/2)) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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) (neg (/ u0 (- 1 u0))) (/ 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)) (+ (* 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) (/ (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (* (* alphax alphax) 2)))) 1))) (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (/ (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (* (* alphax alphax) 2)))) 1)) (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (/ (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (* (* alphax alphax) 2)))) 1) (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ 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 (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1)) (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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) (+ (* 2 (* (PI) u1)) (* (PI) 1/2)) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) (+ (* u1 2) 1/2) (cos (* (+ (* u1 2) 1/2) (PI))) (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (tan (* (+ (* u1 2) 1/2) (PI))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2))) (pow (* (tan (+ (* 2 (* (PI) u1)) (* (PI) 1/2))) (/ alphay alphax)) 2))

simplify309.0ms (1.7%)

Memory
10.4MiB live, 720.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208369230
1785069088
0808064415
Stop Event
1×iter limit
1×node limit
Counts
238 → 238
Calls
Call 1
Inputs
(/ u0 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 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 u0) 1))
(* u0 (- (* u0 (- (* -1 u0) 1)) 1))
(* u0 (- (* u0 (- (* u0 (- (* -1 u0) 1)) 1)) 1))
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 (* (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 (+ (* -1 (/ (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)))) (* -1/2 (/ (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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)))) (+ (* 1/4 (/ (* u0 (pow (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 2)) (* (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 (/ (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)))) (+ (* -1/2 (/ (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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))))) (* 1/4 (/ (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))))))) (* (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 u0 2) (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (pow (- 1 u0) 2)))))))))) (* -1/2 (+ (* -1 (/ (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)))) (+ (* -1/2 (/ (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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))))) (* 1/4 (/ (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))))))))))))
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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) (+ (* -1/2 (/ (* 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)))) (* 1/2 (/ (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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)))) (* -1/4 (/ (* u0 (pow (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 2)) (* (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 (+ (* 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)))) (* 1/2 (/ (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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) (+ (* -1/2 (/ (* (pow alphay 2) (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) (* (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) (- (* 1/4 (/ (* (pow alphay 2) (* u0 (pow (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 2))) (* (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 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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) (+ (* 1/4 (/ (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)))))))
(+ 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) (+ (/ u0 (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2))))))
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(* -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))))
(* (pow alphay 2) (+ (* -1 (/ 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))))
Outputs
(/ u0 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 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 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (fma.f32 (/.f32 (*.f32 alphay alphay) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 2 binary32)) (pow.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 binary32)))))
(* -1 u0)
(neg.f32 u0)
(* u0 (- (* -1 u0) 1))
(*.f32 (-.f32 (neg.f32 u0) #s(literal 1 binary32)) u0)
(* u0 (- (* u0 (- (* -1 u0) 1)) 1))
(*.f32 (fma.f32 (-.f32 (neg.f32 u0) #s(literal 1 binary32)) u0 #s(literal -1 binary32)) u0)
(* u0 (- (* u0 (- (* u0 (- (* -1 u0) 1)) 1)) 1))
(*.f32 (fma.f32 (fma.f32 (-.f32 (neg.f32 u0) #s(literal 1 binary32)) u0 #s(literal -1 binary32)) u0 #s(literal -1 binary32)) u0)
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 (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)))) #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))))))))
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) (pow.f32 (+.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)) (*.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))) #s(literal 2 binary32))) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 3/4 binary32) (pow.f32 (+.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)) (*.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))) #s(literal 2 binary32))) (/.f32 #s(literal 1 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 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)) 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(/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI))))
(/.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))
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(/ (* (pow alphay 2) (pow (sin (* 1/2 (PI))) 2)) (* (pow alphax 2) (pow (cos (* 1/2 (PI))) 2)))
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1/2
#s(literal 1/2 binary32)
(+ 1/2 (* 2 u1))
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
(cos (* 1/2 (PI)))
(cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))
(+ (cos (* 1/2 (PI))) (* -2 (* u1 (* (PI) (sin (* 1/2 (PI)))))))
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(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) u0) (* (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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(* (pow alphay 2) (+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ u0 (* (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 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))))) (/ u0 (* (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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(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (+ (* -1 (/ u0 (* (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 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) (+ (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 6) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphax 6) (* (pow (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))))))))) 4)))))))) (+ (* -1 (/ u0 (* (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 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))))) (/ u0 (* (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 (* -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)))))
(fma.f32 (*.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 -1/2 binary32) #s(literal 1 binary32))
(+ 1 (* (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))))))))) 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 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)))) (* 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)))))))) (* -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 (+ (* -1 (/ (* 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 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)))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* 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 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)))) (* 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))))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (+ (/ (* 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)))) (/ (* (pow u0 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))))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* 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 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)))) (* 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))))))))))))
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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) u0) (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))
(/.f32 (*.f32 (*.f32 alphay alphay) u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #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 2 binary32))))
(* (pow alphay 2) (+ (/ u0 (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2))))))
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(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)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32)))) #s(literal 1/4 binary32) (neg.f32 (/.f32 (/.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))) (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 (pow.f32 (cos.f32 (atan.f32 (*.f32 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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 8 binary32))) (-.f32 #s(literal 1 binary32) u0))) (pow.f32 alphay #s(literal 6 binary32))) (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))))))))
(* -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))))
(neg.f32 (*.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))))
(* (pow alphay 2) (+ (* -1 (/ 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))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.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))

rewrite215.0ms (1.2%)

Memory
6.5MiB live, 328.3MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01391025
0234785
11051764
26396734
08213734
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
28 → 677
Calls
Call 1
Inputs
(/.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 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))
(+.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 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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)
(neg.f32 (/.f32 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 #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)) (fma.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (neg.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))
(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)) (fma.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (neg.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
#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)) (fma.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (neg.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #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)) (/.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 (*.f32 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)) (/.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 (*.f32 alphax alphax) #s(literal 2 binary32))))) #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)) (/.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 (*.f32 alphax 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 (sin.f32 (atan.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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)))
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 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)
(fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.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))))
(tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(pow.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32))
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))
(cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
(fma.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (neg.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 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))
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #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)))))
(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 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32))))
(pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32))
Outputs
(*.f32 (*.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) (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 #s(literal 1 binary32) alphay))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 alphay) alphay)) (neg.f32 (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 (exp.f32 (log.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))) (exp.f32 (log.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))))
(*.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)))) (pow.f32 alphay #s(literal -2 binary32))) (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 (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)) alphay) (/.f32 #s(literal 1 binary32) alphay))
(*.f32 (pow.f32 alphay #s(literal -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 (neg.f32 (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 #s(literal 1 binary32) (*.f32 (neg.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)))) 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))
(*.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 (/.f32 #s(literal 1 binary32) 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)))
(*.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 (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)))) (pow.f32 alphay #s(literal -2 binary32))))
(*.f32 #s(literal 1 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 (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 binary32) alphay) (/.f32 #s(literal 1 binary32) alphay)))
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(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (*.f32 (neg.f32 (/.f32 alphay alphax)) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) (*.f32 (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (neg.f32 (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (*.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal 1 binary32)) (*.f32 (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.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 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) alphay)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) (*.f32 (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) alphax)))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) alphay)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) alphax))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (/.f32 alphay alphax)) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (tan.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 (*.f32 #s(literal 1 binary32) (*.f32 (sin.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 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))
(/.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 (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 #s(literal 1 binary32) (*.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 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))
(pow.f32 (exp.f32 (log.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 (*.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 (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 (log.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))))

eval261.0ms (1.4%)

Memory
-23.6MiB live, 420.0MiB allocated
Compiler

Compiled 143 105 to 7 548 computations (94.7% saved)

prune45.0ms (0.2%)

Memory
6.7MiB live, 121.4MiB allocated
Pruning

20 alts after pruning (15 fresh and 5 done)

PrunedKeptTotal
New79411805
Fresh7411
Picked235
Done022
Total80320823
Accuracy
99.9%
Counts
823 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.7%
(pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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)))) alphax) #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)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
✓87.1%
(/.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))))
▶48.2%
(/.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)) (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 alphax alphax) #s(literal 2 binary32))))) #s(literal 1 binary32))))
91.9%
(/.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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #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)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))))
✓93.1%
(/.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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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))))
✓97.8%
(/.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 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 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)))))
70.7%
(/.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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 alphax alphax)) (/.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))))) u0) (-.f32 #s(literal 1 binary32) u0)))))
✓99.4%
(/.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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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)))))
90.3%
(/.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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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 (fma.f32 u1 #s(literal 2 binary32) #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 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #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)))))
22.1%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (* (/ 2 (* alphax alphax)) (/ (* (cos (/ (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2)) (cos (/ (- (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2))) 2)) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2))) u0) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
31.0%
(/.f32 #s(literal 1 binary32) #s(approx (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)) (fma.f32 (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) #s(literal 1 binary32))))
57.1%
#s(approx (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (/ (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (* (* alphax alphax) 2)))) 1))) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 alphax alphax) (+.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 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))
▶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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) #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 (+.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)))))
▶5.8%
#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 #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)) (fma.f32 (*.f32 alphay alphay) (*.f32 (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 (neg.f32 u0) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))
95.2%
#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 #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 (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 u0 (-.f32 #s(literal 1 binary32) u0)))))))
▶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 #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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) 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))))))))
87.0%
#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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.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))))))
✓91.2%
#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))))) #s(literal 1 binary32))
Compiler

Compiled 3 980 to 1 887 computations (52.6% saved)

simplify145.0ms (0.8%)

Memory
19.1MiB live, 176.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01552964
02372705
14072685
26632679
316092679
442612679
080232670
Stop Event
1×iter limit
1×node limit
1×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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) #s(literal 1 binary32)))
#s(literal 1 binary32)
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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)))) alphax) #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)))) #s(literal 1 binary32))
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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)))) alphax) #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 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(-.f32 #s(literal 1 binary32) u0)
(+.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)))) alphax) #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)))
(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 (*.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))))
(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)
alphay
alphax
(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 (*.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))))
#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)) (fma.f32 (*.f32 alphay alphay) (*.f32 (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 (neg.f32 u0) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))
(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)) (fma.f32 (*.f32 alphay alphay) (*.f32 (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 (neg.f32 u0) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
#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)) (fma.f32 (*.f32 alphay alphay) (*.f32 (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 (neg.f32 u0) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
(fma.f32 (*.f32 alphay alphay) (*.f32 (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 (neg.f32 u0) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
(*.f32 alphay alphay)
alphay
(*.f32 (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 (neg.f32 u0) (-.f32 #s(literal 1 binary32) u0)))
(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))
(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)
(/.f32 (neg.f32 u0) (-.f32 #s(literal 1 binary32) u0))
(neg.f32 u0)
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))))) (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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) 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))))))))
(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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) 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)))))))
#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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) 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))))))
#s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) 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) (/.f32 (*.f32 (*.f32 alphay alphay) 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))))
#s(literal 1 binary32)
(/.f32 (*.f32 (*.f32 alphay alphay) 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 alphay alphay) u0)
(*.f32 alphay alphay)
alphay
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))
(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 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #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)))))
#s(literal 1 binary32)
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #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 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #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 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #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))
#s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #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) 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 alphay alphay) u0)
(*.f32 alphay alphay)
alphay
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))
(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 #s(literal 1 binary32) u0)
(/.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)) (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 alphax alphax) #s(literal 2 binary32))))) #s(literal 1 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)) (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 alphax alphax) #s(literal 2 binary32))))) #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)) (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 alphax alphax) #s(literal 2 binary32))))) #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)) (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 alphax alphax) #s(literal 2 binary32)))))
(/.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)) (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 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))
(/.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)
(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
(/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 alphax alphax) #s(literal 2 binary32)))
(+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))
(*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))
(atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))
(*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))
(tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32)))
(*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))
#s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32))
(*.f32 (*.f32 alphax alphax) #s(literal 2 binary32))
(*.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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 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 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 u0 #s(literal 1 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)))) alphax) #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))))))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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)))) alphax) #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)))) #s(literal 1 binary32))))
(sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 u0 #s(literal 1 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)))) alphax) #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 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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)))) alphax) #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)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 u0 #s(literal 1 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)))) alphax) #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))))))
#s(literal 1 binary32)
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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)))) alphax) #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)))) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 u0 #s(literal 1 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)))) alphax) #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 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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)))) alphax) #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 u0 (-.f32 #s(literal 1 binary32) u0))
u0
(-.f32 #s(literal 1 binary32) u0)
(+.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)))) alphax) #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)))
(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 (*.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))))
(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)
alphay
alphax
(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 (*.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))))
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(*.f32 alphay alphay)
alphay
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u1
#s(literal 2 binary32)
#s(literal 1/2 binary32)
(PI.f32)
(/.f32 alphay alphax)
alphax
#s(literal -2 binary32)
(/.f32 (neg.f32 u0) (-.f32 #s(literal 1 binary32) u0))
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(neg.f32 u0)
u0
(-.f32 #s(literal 1 binary32) u0)
#s(literal 1 binary32)
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#s(literal 1 binary32)
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(*.f32 (*.f32 alphay alphay) u0)
(*.f32 alphay alphay)
alphay
u0
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(/.f32 alphay alphax)
alphax
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(*.f32 alphay alphay)
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alphax
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#s(literal 2 binary32)
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(/.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)))
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)
u1
(*.f32 (PI.f32) #s(literal 2 binary32))
#s(literal 2 binary32)
(/.f32 alphay alphax)
alphay
alphax
(/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 alphax alphax) #s(literal 2 binary32)))
(+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))
(*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))
(atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))
(*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))
(tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32)))
(*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))
#s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32))
(*.f32 (*.f32 alphax alphax) #s(literal 2 binary32))
(*.f32 alphax alphax)

localize651.0ms (3.6%)

Memory
-24.9MiB live, 856.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy12.272835116882677
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))
accuracy12.272835116882677
(tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32)))
accuracy19.356407270615414
(+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
accuracy26.398362094431366
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))
accuracy0.3951950195368841
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
accuracy6.008818397647841
#s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #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))))
accuracy12.193622740928953
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
accuracy28.545032508149593
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
accuracy1.5000069022940459
#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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) 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))))))
accuracy2.0343907312164333
#s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) 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)))))
accuracy12.193622740928953
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
accuracy27.990793990563507
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))
accuracy1.5000069022940459
#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)) (fma.f32 (*.f32 alphay alphay) (*.f32 (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 (neg.f32 u0) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))
accuracy3.3735260844245785
(fma.f32 (*.f32 alphay alphay) (*.f32 (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 (neg.f32 u0) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
accuracy9.256457597652153
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))
accuracy12.272835116882677
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
accuracy0.5546875
(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))
accuracy9.256457597652153
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))
accuracy12.272835116882677
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
accuracy12.411551932715806
(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))))
Samples
439.0ms247×0valid
32.0ms9×1valid
Compiler

Compiled 5 403 to 290 computations (94.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 432.0ms
ival-mult: 99.0ms (22.9% of total)
ival-div: 59.0ms (13.7% of total)
ival-atan: 51.0ms (11.8% of total)
ival-sin: 46.0ms (10.6% of total)
ival-cos: 37.0ms (8.6% of total)
ival-tan: 25.0ms (5.8% of total)
ival-pow2: 23.0ms (5.3% of total)
ival-add: 22.0ms (5.1% of total)
ival-cosu: 20.0ms (4.6% of total)
ival-sinu: 19.0ms (4.4% of total)
ival-tanu: 12.0ms (2.8% of total)
ival-sqrt: 8.0ms (1.9% of total)
ival-pow: 5.0ms (1.2% of total)
adjust: 2.0ms (0.5% of total)
ival-sub: 2.0ms (0.5% of total)
ival-neg: 2.0ms (0.5% 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)

series687.0ms (3.8%)

Memory
5.6MiB live, 514.0MiB allocated
Counts
32 → 350
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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) #s(literal 1 binary32)))
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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)))) alphax) #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)))) #s(literal 1 binary32))
(/.f32 (neg.f32 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 #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)) (fma.f32 (*.f32 alphay alphay) (*.f32 (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 (neg.f32 u0) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))
(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)) (fma.f32 (*.f32 alphay alphay) (*.f32 (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 (neg.f32 u0) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))
#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)) (fma.f32 (*.f32 alphay alphay) (*.f32 (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 (neg.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))))) (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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) 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))))))))
(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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) 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)))))))
#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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) 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))))))
#s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) 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)))))
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(/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #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))
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(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))
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(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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(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))
#s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #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))))
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(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))
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 (* (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))))))
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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 (+ (* -1 (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (pow (- 1 u0) 3)))))) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 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)))) (* -1 (/ (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)))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 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)))) (+ (* -1 (/ (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)))) (* 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))))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (/ (* (pow u0 2) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (pow (- 1 u0) 3)))))))) (* -1/2 (+ (* -1 (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 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)))) (+ (* -1 (/ (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)))) (* 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))))))))))))
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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 (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (+ (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (pow (- 1 u0) 3)))) (* -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 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 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))))) (* (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 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 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))))))))))
(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 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 (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) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (pow (- 1 u0) 3))))))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 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 (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 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 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 (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) (+ (* -1 (/ (* (+ (* -1 (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (pow (- 1 u0) 3))))) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (+ (/ (* u0 (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))))) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (pow (- 1 u0) 2))))) (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphax 6) (* (pow (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))))))))) 4) (- 1 u0))))))))) (+ (* -1 (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (pow (- 1 u0) 3))))))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 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 (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 (/ (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)))) (+ (* -1/2 (/ (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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))))) (* 1/4 (/ (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)))))))) (* -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)))))))
(+ 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 (+ (* -1 (/ (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)))) (* -1/2 (/ (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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)))) (+ (* 1/4 (/ (* u0 (pow (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 2)) (* (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 (/ (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)))) (+ (* -1/2 (/ (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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))))) (* 1/4 (/ (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))))))) (* (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 u0 2) (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (pow (- 1 u0) 2)))))))))) (* -1/2 (+ (* -1 (/ (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)))) (+ (* -1/2 (/ (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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))))) (* 1/4 (/ (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))))))))))))
(+ 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)))) (* 1/2 (/ (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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)))))))
(+ 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) (+ (* -1/2 (/ (* 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)))) (* 1/2 (/ (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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)))) (* -1/4 (/ (* u0 (pow (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 2)) (* (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 (+ (* 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)))) (* 1/2 (/ (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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) (+ (* -1/2 (/ (* (pow alphay 2) (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) (* (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) (- (* 1/4 (/ (* (pow alphay 2) (* u0 (pow (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 2))) (* (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 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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 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) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ u0 (* (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 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))))) (/ u0 (* (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) (+ (* -1 (/ (+ (* -1 (/ u0 (* (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 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) (+ (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 6) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphax 6) (* (pow (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))))))))) 4)))))))) (+ (* -1 (/ u0 (* (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 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))))) (/ u0 (* (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))))))
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(* -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))))
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(* alphay (sqrt (/ u0 (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (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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(* alphay (+ (sqrt (/ u0 (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (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 alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3) (- 1 u0))))) (+ (* 1/4 (/ (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (- 1 u0) (pow (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0)))))) 2))) u0)) (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0)))))) (pow alphay 4)) (sqrt (/ (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (- 1 u0)) u0)))) (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0)))))) (pow alphay 2)) (sqrt (/ (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (- 1 u0)) u0)))))))
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(pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3) (- 1 u0))))))) (pow alphay 6)) (sqrt (/ (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (- 1 u0)) u0)))) (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0)))))) (pow alphay 2)) (sqrt (/ (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (- 1 u0)) u0))))))))
(/ (* (pow alphay 2) u0) (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0))))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0))))) (pow alphay 4))) (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0))))))))
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(* (pow alphay 2) (+ (/ u0 (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0)))))))
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(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0))))) (+ (/ (* (pow alphax 2) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0))))))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) (/ (* (pow alphax 6) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 10))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 10) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3) (- 1 u0)))))) (pow alphay 6))) (/ u0 (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow alphay 4) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3) (- 1 u0)))))) (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow alphay 4) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0)))))))))
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(+ (sqrt (/ 1 (+ 1 (* 2 (/ (* (pow alphax 2) u0) (* (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (- 1 u0))))))) (* 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 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 2) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (* 2 (/ (* (pow alphax 2) u0) (* (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (- 1 u0))))) 3))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (* (pow alphax 2) u0) (* (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (- 1 u0))))))) (+ (* -1/2 (* (/ (+ (* -16 (/ (* (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 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 4) (* (pow (+ 1 (* 2 (/ (* (pow alphax 2) u0) (* (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (- 1 u0))))) 3) (pow (- 1 u0) 2))))) (+ (* 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 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 4) (* (pow (+ 1 (* 2 (/ (* (pow alphax 2) u0) (* (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (- 1 u0))))) 3) (pow (- 1 u0) 2))))) (* 8 (/ (* (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 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 3) (* (pow (+ 1 (* 2 (/ (* (pow alphax 2) u0) (* (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (- 1 u0))))) 2) (- 1 u0))))))) (pow alphay 4)) (sqrt (+ 1 (* 2 (/ (* (pow alphax 2) u0) (* (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (- 1 u0)))))))) (* 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 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 2) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (* 2 (/ (* (pow alphax 2) u0) (* (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (- 1 u0))))) 3)))))))
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(- (+ 1 (+ (* 2 (/ (* (pow alphax 2) u0) (* (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (- 1 u0)))) (* 8 (/ (* (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 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 3) (- 1 u0))))))) (* 4 (/ (* (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 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 2) (- 1 u0))))))
(- (+ 1 (+ (* -16 (/ (* (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 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 4) (- 1 u0))))) (* 2 (/ (* (pow alphax 2) u0) (* (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (- 1 u0)))))) (+ (* -8 (/ (* (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 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 3) (- 1 u0))))) (* 4 (/ (* (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 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 2) (- 1 u0)))))))
(/ (* (pow alphay 2) u0) (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))
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Calls

12 calls:

TimeVariablePointExpression
88.0ms
u1
@0
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80.0ms
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62.0ms
alphax
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51.0ms
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(PI)) (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (tan (* (+ (* u1 2) 1/2) (PI))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))))
46.0ms
u1
@inf
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(PI)) (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (tan (* (+ (* u1 2) 1/2) (PI))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))))

simplify491.0ms (2.7%)

Memory
34.4MiB live, 865.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02820125682
09149117381
Stop Event
1×iter limit
1×node limit
Counts
350 → 350
Calls
Call 1
Inputs
1
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(+ 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))))))
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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 (+ (* -1 (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (pow (- 1 u0) 3)))))) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 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)))) (* -1 (/ (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)))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 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)))) (+ (* -1 (/ (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)))) (* 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))))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (/ (* (pow u0 2) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (pow (- 1 u0) 3)))))))) (* -1/2 (+ (* -1 (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 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)))) (+ (* -1 (/ (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)))) (* 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))))))))))))
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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 (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (+ (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (pow (- 1 u0) 3)))) (* -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 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 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))))) (* (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 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 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))))))))))
(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 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 (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) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (pow (- 1 u0) 3))))))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 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 (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 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 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 (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) (+ (* -1 (/ (* (+ (* -1 (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (pow (- 1 u0) 3))))) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2)))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (+ (/ (* u0 (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))))) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (pow (- 1 u0) 2))))) (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphax 6) (* (pow (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))))))))) 4) (- 1 u0))))))))) (+ (* -1 (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (pow (- 1 u0) 3))))))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 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 (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 (/ (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)))) (+ (* -1/2 (/ (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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))))) (* 1/4 (/ (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)))))))) (* -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)))))))
(+ 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 (+ (* -1 (/ (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)))) (* -1/2 (/ (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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)))) (+ (* 1/4 (/ (* u0 (pow (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 2)) (* (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 (/ (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)))) (+ (* -1/2 (/ (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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))))) (* 1/4 (/ (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))))))) (* (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 u0 2) (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (pow (- 1 u0) 2)))))))))) (* -1/2 (+ (* -1 (/ (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)))) (+ (* -1/2 (/ (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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))))) (* 1/4 (/ (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))))))))))))
(+ 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)))) (* 1/2 (/ (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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)))))))
(+ 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) (+ (* -1/2 (/ (* 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)))) (* 1/2 (/ (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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)))) (* -1/4 (/ (* u0 (pow (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 2)) (* (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 (+ (* 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)))) (* 1/2 (/ (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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) (+ (* -1/2 (/ (* (pow alphay 2) (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) (* (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) (- (* 1/4 (/ (* (pow alphay 2) (* u0 (pow (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 2))) (* (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 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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 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) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ u0 (* (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 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))))) (/ u0 (* (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) (+ (* -1 (/ (+ (* -1 (/ u0 (* (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 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) (+ (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 6) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphax 6) (* (pow (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))))))))) 4)))))))) (+ (* -1 (/ u0 (* (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 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))))) (/ u0 (* (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))))))
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(* -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))))
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(* alphay (sqrt (/ u0 (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (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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(* alphay (+ (sqrt (/ u0 (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (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 alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3) (- 1 u0))))) (+ (* 1/4 (/ (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (- 1 u0) (pow (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0)))))) 2))) u0)) (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0)))))) (pow alphay 4)) (sqrt (/ (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (- 1 u0)) u0)))) (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0)))))) (pow alphay 2)) (sqrt (/ (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (- 1 u0)) u0)))))))
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(pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3) (- 1 u0))))))) (pow alphay 6)) (sqrt (/ (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (- 1 u0)) u0)))) (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0)))))) (pow alphay 2)) (sqrt (/ (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (- 1 u0)) u0))))))))
(/ (* (pow alphay 2) u0) (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0))))))))
(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0))))) (pow alphay 4))) (+ (/ 1 (pow alphay 2)) (/ u0 (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0))))))))
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(* (pow alphay 2) (+ (/ u0 (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0)))))))
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(* (pow alphay 2) (- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0))))) (+ (/ (* (pow alphax 2) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0))))))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) (/ (* (pow alphax 6) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 10))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 10) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3) (- 1 u0)))))) (pow alphay 6))) (/ u0 (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow alphay 2) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow alphay 4) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3) (- 1 u0)))))) (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow alphay 4) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0)))))))))
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(+ (sqrt (/ 1 (+ 1 (* 2 (/ (* (pow alphax 2) u0) (* (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (- 1 u0))))))) (* 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 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 2) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (* 2 (/ (* (pow alphax 2) u0) (* (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (- 1 u0))))) 3))))))
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (* (pow alphax 2) u0) (* (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (- 1 u0))))))) (+ (* -1/2 (* (/ (+ (* -16 (/ (* (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 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 4) (* (pow (+ 1 (* 2 (/ (* (pow alphax 2) u0) (* (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (- 1 u0))))) 3) (pow (- 1 u0) 2))))) (+ (* 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 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 4) (* (pow (+ 1 (* 2 (/ (* (pow alphax 2) u0) (* (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (- 1 u0))))) 3) (pow (- 1 u0) 2))))) (* 8 (/ (* (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 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 3) (* (pow (+ 1 (* 2 (/ (* (pow alphax 2) u0) (* (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (- 1 u0))))) 2) (- 1 u0))))))) (pow alphay 4)) (sqrt (+ 1 (* 2 (/ (* (pow alphax 2) u0) (* (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (- 1 u0)))))))) (* 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 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 2) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (* 2 (/ (* (pow alphax 2) u0) (* (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (- 1 u0))))) 3)))))))
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(- (+ 1 (+ (* 2 (/ (* (pow alphax 2) u0) (* (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (- 1 u0)))) (* 8 (/ (* (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 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 3) (- 1 u0))))))) (* 4 (/ (* (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 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 2) (- 1 u0))))))
(- (+ 1 (+ (* -16 (/ (* (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 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 4) (- 1 u0))))) (* 2 (/ (* (pow alphax 2) u0) (* (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) (- 1 u0)))))) (+ (* -8 (/ (* (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 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 3) (- 1 u0))))) (* 4 (/ (* (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 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 2) (- 1 u0)))))))
(/ (* (pow alphay 2) u0) (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))
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Outputs
1
#s(literal 1 binary32)
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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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(* -1 u0)
(neg.f32 u0)
(* u0 (- (* -1 u0) 1))
(*.f32 u0 (-.f32 (neg.f32 u0) #s(literal 1 binary32)))
(* u0 (- (* u0 (- (* -1 u0) 1)) 1))
(*.f32 u0 (fma.f32 u0 (-.f32 (neg.f32 u0) #s(literal 1 binary32)) #s(literal -1 binary32)))
(* u0 (- (* u0 (- (* u0 (- (* -1 u0) 1)) 1)) 1))
(*.f32 u0 (fma.f32 u0 (fma.f32 u0 (-.f32 (neg.f32 u0) #s(literal 1 binary32)) #s(literal -1 binary32)) #s(literal -1 binary32)))
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))))
(fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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)))))))) #s(literal 2 binary32))) #s(literal 1 binary32))
(+ 1 (* u0 (+ (* -1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))))))
(fma.f32 u0 (*.f32 #s(literal -1 binary32) (fma.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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)))))))) #s(literal 2 binary32))) (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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)))))))) #s(literal 2 binary32))))) #s(literal 1 binary32))
(+ 1 (* u0 (+ (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* u0 (+ (* -1 (/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* -1 (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))))))))
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(/ u0 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 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 (+ (/ 1 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 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 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 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 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 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 (+ (/ 1 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 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 (* (pow alphax 2) (+ 1 (/ (* (pow alphay 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 2) (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 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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(* 2 (* u1 (PI)))
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(+ 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))))))
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(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 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)))) (+ (* -1 (/ (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)))) (* 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)))))))) (* -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 (/ (* (pow alphay 2) (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 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 (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))
(fma.f32 (*.f32 alphay alphay) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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)))))))) #s(literal 4 binary32))) (/.f32 (*.f32 u0 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.f32 alphax alphax)))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32)))) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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)))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (pow (- 1 u0) 3))))))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 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 (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))
(fma.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (-.f32 (neg.f32 (*.f32 (*.f32 alphay alphay) (*.f32 #s(literal -1 binary32) (fma.f32 (/.f32 u0 (pow.f32 alphax #s(literal 4 binary32))) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 (pow.f32 (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 alphay alphax) (/.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)))))))) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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)))))))) #s(literal 6 binary32))) (/.f32 (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.f32 alphax alphax))) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 3 binary32)))))))) (*.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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)))))))) #s(literal 4 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.f32 alphax alphax))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))))) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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)))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 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 (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(*.f32 (*.f32 alphay alphay) (fma.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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)))))))) #s(literal 4 binary32))) (/.f32 (*.f32 u0 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.f32 alphax alphax)))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32)))) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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)))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))))
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* -1 (/ (* u0 (pow (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 2))) 2)) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (pow (- 1 u0) 3))))))) (/ (* u0 (- (/ 1 (pow alphax 2)) (/ u0 (pow alphax 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 (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))
(*.f32 (*.f32 alphay alphay) (fma.f32 (*.f32 alphay alphay) (-.f32 (neg.f32 (*.f32 (*.f32 alphay alphay) (*.f32 #s(literal -1 binary32) (fma.f32 (/.f32 u0 (pow.f32 alphax #s(literal 4 binary32))) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 (pow.f32 (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 alphay alphax) (/.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)))))))) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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)))))))) #s(literal 6 binary32))) (/.f32 (pow.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.f32 alphax alphax))) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 3 binary32)))))))) (*.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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)))))))) #s(literal 4 binary32))) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphax alphax)) (/.f32 u0 (*.f32 alphax alphax))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))))) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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)))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) 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) (+ (* -1/2 (/ (* 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)))) (* 1/2 (/ (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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)))) (* -1/4 (/ (* u0 (pow (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 2)) (* (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 (+ (* 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)))) (* 1/2 (/ (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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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(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ (* (pow alphay 2) (* u0 (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) (* (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 alphay alphay) (fma.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 (*.f32 alphay alphay) (*.f32 alphax alphax)) (/.f32 (*.f32 u0 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))))) #s(literal 1 binary32))) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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)))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0)))) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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)))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (* 1/4 (/ (* (pow alphay 2) (* u0 (pow (+ 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) 2))) (* (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 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* (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 alphay alphay) (fma.f32 (*.f32 alphay alphay) (fma.f32 #s(literal 1/4 binary32) (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))))) #s(literal 1 binary32)) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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)))))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 #s(literal -1/2 binary32) (*.f32 (/.f32 u0 (*.f32 alphax alphax)) (/.f32 (+.f32 (cos.f32 (*.f32 #s(literal 2 binary32) (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))))) #s(literal 1 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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)))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0)))))) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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)))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) u0) (* (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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(* (pow alphay 2) (+ (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ u0 (* (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 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))))) (/ u0 (* (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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(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (+ (* -1 (/ u0 (* (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 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) (+ (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 6) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (/ (* u0 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4)) (* (pow alphax 6) (* (pow (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))))))))) 4)))))))) (+ (* -1 (/ u0 (* (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 (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (* (pow alphax 4) (* (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))))))) (/ u0 (* (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))))))
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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))))))
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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 (* (/ (+ (* -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)))))))
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(* -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))))
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(* (pow alphay 2) (+ (* -1 (/ 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))))
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(* (/ 1 alphay) (sqrt (/ (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (- 1 u0)) u0)))
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(* alphay (sqrt (/ u0 (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (- 1 u0)))))
(*.f32 alphay (sqrt.f32 (/.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (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 (*.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 alphay alphax) (/.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)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))
(* alphay (+ (sqrt (/ u0 (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (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 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0)))))) (pow alphay 2)) (sqrt (/ (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (- 1 u0)) u0))))))
(*.f32 alphay (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 4 binary32))) (pow.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #s(literal 4 binary32))) (*.f32 (pow.f32 (+.f32 (/.f32 (pow.f32 (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 (*.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 alphay alphax) (/.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)))))))) #s(literal 2 binary32))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphay alphay))) (sqrt.f32 (*.f32 (+.f32 (/.f32 (pow.f32 (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 (*.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 alphay alphax) (/.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)))))))) #s(literal 2 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u0) u0))) (sqrt.f32 (/.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (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 (*.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 alphay alphax) (/.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)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
(* alphay (+ (sqrt (/ u0 (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (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 alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3) (- 1 u0))))) (+ (* 1/4 (/ (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (- 1 u0) (pow (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0)))))) 2))) u0)) (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0)))))) (pow alphay 4)) (sqrt (/ (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (- 1 u0)) u0)))) (* 1/2 (* (/ (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0)))))) (pow alphay 2)) (sqrt (/ (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (- 1 u0)) u0)))))))
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(* -1 (* alphay (sqrt (/ u0 (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (- 1 u0))))))
(neg.f32 (*.f32 alphay (sqrt.f32 (/.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (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 (*.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 alphay alphax) (/.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)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
(* -1 (* alphay (+ (sqrt (/ u0 (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (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 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0)))))) (pow alphay 2)) (sqrt (/ (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (- 1 u0)) u0)))))))
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(* -1 (* alphay (+ (sqrt (/ u0 (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (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 alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3) (- 1 u0))))) (+ (* 1/4 (/ (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (- 1 u0) (pow (- 1 (* -1 (/ (* (pow alphax 2) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 4) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0)))))) 2))) u0)) (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 6) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0)))))) (pow alphay 4)) (sqrt (/ (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (- 1 u0)) u0)))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8))) (* (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 8) (* (pow (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) 3) (- 1 u0))))) (+ (* 1/4 (/ (* (+ (/ (pow (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2) (pow (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) 2)) (pow 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rewrite225.0ms (1.2%)

Memory
-8.5MiB live, 343.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01552005
02361536
110731464
272251464
089441453
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
32 → 515
Calls
Call 1
Inputs
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(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)) (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 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)) (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 alphax alphax) #s(literal 2 binary32))))) #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)) (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 alphax 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))))
(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 (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))
(fma.f32 (*.f32 alphay alphay) (*.f32 (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 (neg.f32 u0) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))
(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)))
#s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #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 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))
(+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #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)))))
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))))) (pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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)))) alphax) #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)))) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) #s(literal 1 binary32))) #s(literal 1/4 binary32)))
(*.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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)))) alphax) #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)))) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) #s(literal 1 binary32))) #s(literal -1/2 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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) #s(literal 1 binary32))) #s(literal -1 binary32))
(exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) (log1p.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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)))) alphax) #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)))))) #s(literal 1/2 binary32)))
(exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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)))) alphax) #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)))) #s(literal 1 binary32)))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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)))) alphax) #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)))) #s(literal 1 binary32)))))
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(-.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 2 binary32)) (-.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #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 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))))
(*.f32 (sin.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32)))) (neg.f32 (cos.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32)))))
(/.f32 (sin.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (cos.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (sin.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32)))))
(tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (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 (neg.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))
(*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 #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))) (/.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))
(*.f32 #s(literal 1 binary32) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) (neg.f32 (neg.f32 (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))
(/.f32 (neg.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) #s(literal 1 binary32)) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))
(/.f32 (neg.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (neg.f32 (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))
(/.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 #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))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))
(pow.f32 (/.f32 #s(literal 1 binary32) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) #s(literal -1 binary32))
(neg.f32 (/.f32 (neg.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)))))
(neg.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (neg.f32 (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))

eval219.0ms (1.2%)

Memory
12.9MiB live, 521.8MiB allocated
Compiler

Compiled 225 448 to 6 939 computations (96.9% saved)

prune96.0ms (0.5%)

Memory
-0.2MiB live, 202.3MiB allocated
Pruning

26 alts after pruning (20 fresh and 6 done)

PrunedKeptTotal
New85214866
Fresh4610
Picked325
Done145
Total86026886
Accuracy
100.0%
Counts
886 → 26
Alt Table
Click to see full alt table
StatusAccuracyProgram
81.2%
(pow.f32 (+.f32 (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 u0 (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 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal -1/2 binary32))
81.4%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 u0 (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 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal -1/2 binary32))))
✓87.1%
(/.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))))
✓48.2%
(/.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)) (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 alphax alphax) #s(literal 2 binary32))))) #s(literal 1 binary32))))
97.8%
(/.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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 alphax alphax) #s(literal 2 binary32))))) #s(literal 1 binary32))))
97.7%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 u0 (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 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
✓97.8%
(/.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 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 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)))))
71.0%
(/.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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 alphax alphax)) (/.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))))) u0) (-.f32 #s(literal 1 binary32) u0)))))
✓99.4%
(/.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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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)))))
90.3%
(/.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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))))
98.4%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (-.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
97.7%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(approx (cos (* (+ (* 2 u1) 1/2) (PI))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
21.8%
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (* (/ 2 (* alphax alphax)) (/ (* (cos (/ (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2)) (cos (/ (- (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2))) 2)) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2))) u0) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
56.2%
#s(approx (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (/ (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (* (* alphax alphax) 2)))) 1))) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 alphax alphax) (+.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 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))
✓98.0%
#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 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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)))) alphax) #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)))) #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 (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 (*.f32 (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) #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 (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 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) #s(literal 1 binary32)))))
72.1%
#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 (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (+.f32 (*.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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) #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 (+.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)))))
98.0%
#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 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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 (*.f32 alphax alphax) #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)))) #s(literal 1 binary32)))))
5.5%
#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 #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)) (fma.f32 (*.f32 alphay alphay) (*.f32 (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)) #s(approx (/ (neg u0) (- 1 u0)) (*.f32 u0 (-.f32 (neg.f32 u0) #s(literal 1 binary32))))) #s(literal 1 binary32)))))
95.1%
#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 #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 (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 u0 (-.f32 #s(literal 1 binary32) u0)))))))
94.5%
#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 #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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) 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))) (-.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))) #s(literal 2 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 #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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) 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))) #s(approx (cos (* (+ (* 2 u1) 1/2) (PI))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32))))))))
93.7%
#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 #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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (*.f32 u0 (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))))))))
✓91.2%
#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))))) #s(literal 1 binary32))
Compiler

Compiled 9 606 to 2 210 computations (77% saved)

regimes218.0ms (1.2%)

Memory
27.2MiB live, 299.7MiB allocated
Counts
58 → 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))
#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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (*.f32 u0 (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))))))))
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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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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 (fma.f32 u1 #s(literal 2 binary32) #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 #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)))))
(/.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 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 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)))))
#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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(/.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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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(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)))))
(/.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)))))
#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 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))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))))))
#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)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 #s(literal 2 binary32) (*.f32 alphax alphax)) (/.f32 (*.f32 (cos.f32 (/.f32 (fma.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 0 binary32)) #s(literal 2 binary32))) (cos.f32 (/.f32 (-.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 0 binary32)) #s(literal 2 binary32)))) #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)))))
(/.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 (cos.f32 (atan.f32 (*.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 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #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)))))
Outputs
(/.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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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)))))
Calls

13 calls:

19.0ms
alphax
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))))
18.0ms
u1
17.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
17.0ms
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
Results
AccuracySegmentsBranch
99.4%1u0
99.4%1u1
99.4%1alphax
99.4%1alphay
99.4%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)))))
99.4%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))))
99.4%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)))
99.4%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))
99.4%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))))
99.4%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)))
99.4%1(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
99.4%1(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
99.4%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
Compiler

Compiled 522 to 219 computations (58% saved)

regimes272.0ms (1.5%)

Memory
-22.9MiB live, 258.1MiB allocated
Counts
47 → 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))
#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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (*.f32 u0 (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))))))))
#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)) (fma.f32 (*.f32 alphay alphay) (*.f32 (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)) #s(approx (/ (neg u0) (- 1 u0)) (*.f32 u0 (-.f32 (neg.f32 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 #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)) (fma.f32 (*.f32 alphay alphay) (*.f32 (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 (neg.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))))) (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 (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 u0 (-.f32 #s(literal 1 binary32) u0)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 u0 (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 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
#s(approx (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (/ (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (* (* alphax alphax) 2)))) 1))) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 alphax alphax) (+.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 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))
(pow.f32 (+.f32 (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 u0 (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 #s(literal 1 binary32) u0)) #s(literal 1 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 #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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) 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))) #s(approx (cos (* (+ (* 2 u1) 1/2) (PI))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (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 #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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) 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) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 u0 (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 #s(literal 1 binary32) u0)) #s(literal 1 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 #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)) (fma.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (neg.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))
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(/.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))))
(/.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 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (-.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
(/.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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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))))
(/.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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #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 (/.f32 #s(literal 1 binary32) alphay) (/.f32 (pow.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)))) #s(literal 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)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (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)) alphay (*.f32 (*.f32 alphax alphax) (/.f32 (pow.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)))) #s(literal 2 binary32)) alphay))) (*.f32 (*.f32 alphax alphax) 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 (fma.f32 (neg.f32 (pow.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)))) #s(literal 2 binary32))) (*.f32 alphax alphax) (*.f32 (*.f32 (neg.f32 alphay) alphay) (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)))) (*.f32 (*.f32 (neg.f32 alphay) alphay) (*.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) (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(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.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)))))
(/.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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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 (fma.f32 u1 #s(literal 2 binary32) #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 #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)))))
(/.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 2 binary32) (*.f32 (PI.f32) u1) (*.f32 (PI.f32) #s(literal 1/2 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)))))
#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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) #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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 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))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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)))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) #s(literal 1 binary32)))))
Calls

13 calls:

45.0ms
u0
40.0ms
alphay
38.0ms
(+.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)))
27.0ms
(/.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))))
15.0ms
(+.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
97.9%1u0
97.9%1u1
97.9%1alphax
97.9%1alphay
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(+.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)

regimes175.0ms (1%)

Memory
17.5MiB live, 131.7MiB allocated
Counts
31 → 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))
#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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (*.f32 u0 (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))))))))
#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)) (fma.f32 (*.f32 alphay alphay) (*.f32 (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)) #s(approx (/ (neg u0) (- 1 u0)) (*.f32 u0 (-.f32 (neg.f32 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 #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)) (fma.f32 (*.f32 alphay alphay) (*.f32 (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 (neg.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))))) (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 (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 u0 (-.f32 #s(literal 1 binary32) u0)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 u0 (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 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
#s(approx (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (/ (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (* (* alphax alphax) 2)))) 1))) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 alphax alphax) (+.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 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))
(pow.f32 (+.f32 (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 u0 (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 #s(literal 1 binary32) u0)) #s(literal 1 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 #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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) 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))) #s(approx (cos (* (+ (* 2 u1) 1/2) (PI))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (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 #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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) 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) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 u0 (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 #s(literal 1 binary32) u0)) #s(literal 1 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 #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)) (fma.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (neg.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (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)) (fma.f32 (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(approx (cos (* (+ (* 2 u1) 1/2) (PI))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (* (/ 2 (* alphax alphax)) (/ (* (cos (/ (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2)) (cos (/ (- (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2))) 2)) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2))) u0) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
(/.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 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)))) (-.f32 #s(literal 1 binary32) u0)))))
(/.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)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.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))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #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)))))
#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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.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))))))
(/.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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 alphax alphax)) (/.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))))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.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)) (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 alphax alphax) #s(literal 2 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 (+.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 (*.f32 alphax alphax) #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)))) #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 (sin.f32 (atan.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 alphax 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 (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)) (/.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 (*.f32 alphax 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 (sin.f32 (atan.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #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)))) alphax) #s(literal 2 binary32)))) #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 (/.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)))))
#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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) 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))) (-.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (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 (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 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 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 (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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 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 (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (+.f32 (*.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 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) #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))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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)))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) #s(literal 1 binary32)))))
Calls

13 calls:

49.0ms
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
26.0ms
u0
10.0ms
(/.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)))))
9.0ms
(/.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))))
9.0ms
(+.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
97.8%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)))
97.8%1u0
97.8%1u1
97.8%1alphax
97.8%1alphay
97.8%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)))))
97.8%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))))
97.8%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)))
97.8%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))
97.8%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))))
97.8%1(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
97.8%1(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
97.8%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
Compiler

Compiled 522 to 219 computations (58% saved)

regimes143.0ms (0.8%)

Memory
23.9MiB live, 141.3MiB allocated
Counts
28 → 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))
#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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (*.f32 u0 (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))))))))
#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)) (fma.f32 (*.f32 alphay alphay) (*.f32 (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)) #s(approx (/ (neg u0) (- 1 u0)) (*.f32 u0 (-.f32 (neg.f32 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 #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)) (fma.f32 (*.f32 alphay alphay) (*.f32 (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 (neg.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))))) (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 (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 u0 (-.f32 #s(literal 1 binary32) u0)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 u0 (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 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
#s(approx (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (/ (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (* (* alphax alphax) 2)))) 1))) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 alphax alphax) (+.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 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))
(pow.f32 (+.f32 (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 u0 (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 #s(literal 1 binary32) u0)) #s(literal 1 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 #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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) 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))) #s(approx (cos (* (+ (* 2 u1) 1/2) (PI))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (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 #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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) 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) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 u0 (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 #s(literal 1 binary32) u0)) #s(literal 1 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 #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)) (fma.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (neg.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (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)) (fma.f32 (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(approx (cos (* (+ (* 2 u1) 1/2) (PI))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (* (/ 2 (* alphax alphax)) (/ (* (cos (/ (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2)) (cos (/ (- (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2))) 2)) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2))) u0) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
(/.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 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)))) (-.f32 #s(literal 1 binary32) u0)))))
(/.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)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.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))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #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)))))
#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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.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))))))
(/.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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 alphax alphax)) (/.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))))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.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)) (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 alphax alphax) #s(literal 2 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 (+.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 (*.f32 alphax alphax) #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)))) #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 (sin.f32 (atan.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 alphax 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 (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)) (/.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 (*.f32 alphax 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 (sin.f32 (atan.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #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)))) alphax) #s(literal 2 binary32)))) #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 (/.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)))))
#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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) 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))) (-.f32 (*.f32 (cos.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))))))) #s(literal 2 binary32))))))))
Outputs
(/.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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 alphax alphax) #s(literal 2 binary32))))) #s(literal 1 binary32))))
Calls

13 calls:

27.0ms
(+.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)))
18.0ms
alphax
16.0ms
u1
8.0ms
(/.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))))
8.0ms
(+.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
97.8%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))))
97.8%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)))
97.8%1u0
97.8%1u1
97.8%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)))))
97.8%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))))
97.8%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)))
97.8%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))
97.8%1(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
97.8%1(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
97.8%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
97.8%1alphax
97.8%1alphay
Compiler

Compiled 522 to 219 computations (58% saved)

regimes188.0ms (1%)

Memory
-31.8MiB live, 122.5MiB allocated
Counts
23 → 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))
#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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (*.f32 u0 (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))))))))
#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)) (fma.f32 (*.f32 alphay alphay) (*.f32 (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)) #s(approx (/ (neg u0) (- 1 u0)) (*.f32 u0 (-.f32 (neg.f32 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 #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)) (fma.f32 (*.f32 alphay alphay) (*.f32 (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 (neg.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))))) (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 (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 u0 (-.f32 #s(literal 1 binary32) u0)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 u0 (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 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
#s(approx (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (/ (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (* (* alphax alphax) 2)))) 1))) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 alphax alphax) (+.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 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))
(pow.f32 (+.f32 (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 u0 (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 #s(literal 1 binary32) u0)) #s(literal 1 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 #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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) 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))) #s(approx (cos (* (+ (* 2 u1) 1/2) (PI))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (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 #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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) 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) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 u0 (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 #s(literal 1 binary32) u0)) #s(literal 1 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 #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)) (fma.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (neg.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (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)) (fma.f32 (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(approx (cos (* (+ (* 2 u1) 1/2) (PI))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (* (/ 2 (* alphax alphax)) (/ (* (cos (/ (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2)) (cos (/ (- (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2))) 2)) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2))) u0) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
(/.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 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)))) (-.f32 #s(literal 1 binary32) u0)))))
(/.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)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.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))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #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)))))
#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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.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))))))
(/.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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 alphax alphax)) (/.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))))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.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)) (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 alphax alphax) #s(literal 2 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 (+.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 (*.f32 alphax alphax) #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)))) #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))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.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 (*.f32 alphax alphax) #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)))) #s(literal 1 binary32)))))
Calls

13 calls:

39.0ms
(/.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)))))
24.0ms
(+.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)))
7.0ms
(/.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))))
7.0ms
(/.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))
7.0ms
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
Results
AccuracySegmentsBranch
97.6%1u0
97.6%1alphax
97.6%1alphay
97.6%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))))
97.6%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)))))
97.6%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))))
97.6%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)))
97.6%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))
97.6%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)))
97.6%1u1
97.6%1(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
97.6%1(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
97.6%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
Compiler

Compiled 522 to 219 computations (58% saved)

regimes168.0ms (0.9%)

Memory
15.3MiB live, 135.7MiB allocated
Counts
22 → 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))
#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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (*.f32 u0 (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))))))))
#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)) (fma.f32 (*.f32 alphay alphay) (*.f32 (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)) #s(approx (/ (neg u0) (- 1 u0)) (*.f32 u0 (-.f32 (neg.f32 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 #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)) (fma.f32 (*.f32 alphay alphay) (*.f32 (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 (neg.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))))) (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 (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 u0 (-.f32 #s(literal 1 binary32) u0)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 u0 (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 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
#s(approx (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (/ (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (* (* alphax alphax) 2)))) 1))) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 alphax alphax) (+.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 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))
(pow.f32 (+.f32 (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 u0 (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 #s(literal 1 binary32) u0)) #s(literal 1 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 #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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) 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))) #s(approx (cos (* (+ (* 2 u1) 1/2) (PI))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (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 #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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) 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) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 u0 (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 #s(literal 1 binary32) u0)) #s(literal 1 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 #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)) (fma.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (neg.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (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)) (fma.f32 (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(approx (cos (* (+ (* 2 u1) 1/2) (PI))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (* (/ 2 (* alphax alphax)) (/ (* (cos (/ (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2)) (cos (/ (- (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2))) 2)) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2))) u0) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
(/.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 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)))) (-.f32 #s(literal 1 binary32) u0)))))
(/.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)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.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))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #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)))))
#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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.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))))))
(/.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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 alphax alphax)) (/.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))))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(/.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)) (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 alphax alphax) #s(literal 2 binary32))))) #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 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 alphax alphax)) (/.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))))) u0) (-.f32 #s(literal 1 binary32) u0)))))
Calls

13 calls:

50.0ms
alphax
40.0ms
(/.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))
11.0ms
(+.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)))
7.0ms
(/.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))))
7.0ms
u0
Results
AccuracySegmentsBranch
95.2%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)))
95.2%1u0
95.2%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)))))
95.2%1u1
95.2%1alphax
95.2%1alphay
95.2%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))))
95.2%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)))
95.2%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))
95.2%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))))
95.2%1(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
95.2%1(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
95.2%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
Compiler

Compiled 522 to 219 computations (58% saved)

regimes111.0ms (0.6%)

Memory
-38.3MiB live, 156.4MiB allocated
Counts
20 → 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))
#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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (*.f32 u0 (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))))))))
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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 #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 (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 u0 (-.f32 #s(literal 1 binary32) u0)))))))
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#s(approx (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (/ (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (* (* alphax alphax) 2)))) 1))) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 alphax alphax) (+.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 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))
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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 #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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) 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))) #s(approx (cos (* (+ (* 2 u1) 1/2) (PI))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (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 #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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) 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) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 u0 (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 #s(literal 1 binary32) u0)) #s(literal 1 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 #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)) (fma.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (neg.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) #s(approx (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)) (fma.f32 (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #s(approx (cos (* (+ (* 2 u1) 1/2) (PI))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (* (/ 2 (* alphax alphax)) (/ (* (cos (/ (+ (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2)) (cos (/ (- (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2) 0) 2))) 2)) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2))) u0) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.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))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
(/.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 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)))) (-.f32 #s(literal 1 binary32) u0)))))
(/.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)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.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))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #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)))))
#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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.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))))))
Outputs
(pow.f32 (+.f32 (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 u0 (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 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal -1/2 binary32))
Calls

13 calls:

25.0ms
(/.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))
12.0ms
alphax
9.0ms
(+.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)))
8.0ms
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
6.0ms
(/.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%1u0
94.7%1alphax
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(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%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%1u1
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)
Compiler

Compiled 522 to 219 computations (58% saved)

regimes42.0ms (0.2%)

Memory
13.9MiB live, 92.0MiB allocated
Counts
7 → 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))
#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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (*.f32 u0 (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))))))))
#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)) (fma.f32 (*.f32 alphay alphay) (*.f32 (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)) #s(approx (/ (neg u0) (- 1 u0)) (*.f32 u0 (-.f32 (neg.f32 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 #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)) (fma.f32 (*.f32 alphay alphay) (*.f32 (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 (neg.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))))) (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 (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 u0 (-.f32 #s(literal 1 binary32) u0)))))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 u0 (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 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
#s(approx (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (/ (+ (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1) (* (* alphax alphax) 2)))) 1))) (-.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 alphax alphax) (+.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 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))))
Outputs
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 u0 (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 #s(literal 1 binary32) u0)) #s(literal 1 binary32))))
Calls

13 calls:

4.0ms
(/.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))))
4.0ms
alphax
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 (*.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))
3.0ms
(/.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)))))
Results
AccuracySegmentsBranch
94.4%1alphay
94.4%1u0
94.4%1alphax
94.4%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)))))
94.4%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))))
94.4%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)))
94.4%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))
94.4%1u1
94.4%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))))
94.4%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)))
94.4%1(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
94.4%1(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
94.4%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
Compiler

Compiled 522 to 219 computations (58% saved)

regimes37.0ms (0.2%)

Memory
7.4MiB live, 88.1MiB allocated
Counts
5 → 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))
#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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (*.f32 u0 (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))))))))
#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)) (fma.f32 (*.f32 alphay alphay) (*.f32 (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)) #s(approx (/ (neg u0) (- 1 u0)) (*.f32 u0 (-.f32 (neg.f32 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 #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)) (fma.f32 (*.f32 alphay alphay) (*.f32 (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 (neg.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))))) (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 (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 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 #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 (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 u0 (-.f32 #s(literal 1 binary32) u0)))))))
Calls

13 calls:

4.0ms
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
3.0ms
(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))))
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))
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 (cos.f32 (atan.f32 (*.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
91.3%1u0
91.3%1alphax
91.3%1alphay
91.3%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)))))
91.3%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))))
91.3%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)))
91.3%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))
91.3%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)))
91.3%1u1
91.3%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))))
91.3%1(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
91.3%1(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
91.3%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
Compiler

Compiled 522 to 219 computations (58% saved)

regimes32.0ms (0.2%)

Memory
5.3MiB live, 84.1MiB allocated
Accuracy

Total -29.0b remaining (-1030.4%)

Threshold costs -29b (-1030.4%)

Counts
4 → 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))
#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)) #s(approx (+ (* (/ (* alphay alphay) (pow (sin (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI))))))) 2)) (neg (/ u0 (- 1 u0)))) 1) (-.f32 #s(literal 1 binary32) (*.f32 u0 (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))))))))
#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)) (fma.f32 (*.f32 alphay alphay) (*.f32 (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)) #s(approx (/ (neg u0) (- 1 u0)) (*.f32 u0 (-.f32 (neg.f32 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 #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)) (fma.f32 (*.f32 alphay alphay) (*.f32 (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 (neg.f32 u0) (-.f32 #s(literal 1 binary32) 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:

3.0ms
(+.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 #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)))
2.0ms
(/.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)))))
Results
AccuracySegmentsBranch
91.2%1u0
91.2%1alphax
91.2%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)))))
91.2%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)))
91.2%1u1
91.2%1alphay
91.2%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))))
91.2%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)))
91.2%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))
91.2%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))))
91.2%1(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))
91.2%1(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))
91.2%1(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1)
Compiler

Compiled 522 to 219 computations (58% saved)

simplify112.0ms (0.6%)

Memory
-18.9MiB live, 100.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01921073
12451073
22621073
32751073
42871073
53061073
63491073
74581073
86021073
97461073
109291073
1111681073
1214081073
1315801073
1416951073
1518091073
1619061073
1720171073
1821171073
1921831073
2022071073
2122111073
2222111073
Stop Event
1×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 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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)))))
#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 (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 (*.f32 (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 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 (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 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #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 (sin.f32 (atan.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 alphax alphax) #s(literal 2 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 (+.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 (*.f32 alphax alphax) #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)))) #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 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 alphax alphax)) (/.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))))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(pow.f32 (+.f32 (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 u0 (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 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 u0 (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 #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))))) (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 (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 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))
Outputs
(/.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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 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)))))
(/.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 (*.f32 #s(literal 2 binary32) (PI.f32)) u1))) (/.f32 alphay alphax)))) (sin.f32 (atan.f32 (*.f32 (tan.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1))) (/.f32 alphay alphax))))) (*.f32 alphay alphay)) (/.f32 (/.f32 #s(literal -1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.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 (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 (*.f32 (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 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 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 u0 #s(literal 1 binary32))) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (+.f32 (*.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(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 (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 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 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 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 u0 #s(literal 1 binary32))) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #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))))))))
(/.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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 alphax alphax) #s(literal 2 binary32))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 u0 #s(literal 1 binary32))) (-.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (/.f32 (-.f32 #s(literal -1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (*.f32 (*.f32 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 (+.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 (*.f32 alphax alphax) #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)))) #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 (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 (+.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 (*.f32 alphax alphax) #s(literal 2 binary32)))))))))
(/.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 (+.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 alphax alphax)) (/.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))))) 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 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (pow.f32 (*.f32 (tan.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1))) (/.f32 alphay alphax)) #s(literal 2 binary32)))) (*.f32 alphax alphax)) (/.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 (*.f32 alphay alphay) #s(literal 2 binary32))))) u0) (-.f32 #s(literal 1 binary32) u0)))))
(pow.f32 (+.f32 (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 u0 (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 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal -1/2 binary32))
(pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 (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)) u0)) (-.f32 u0 #s(literal 1 binary32)))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 #s(approx (* (/ 1 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 u0 (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 #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 (+ (/ (/ 1 (+ (pow (* (tan (+ (* (* (PI) 2) u1) (* (PI) 1/2))) (/ alphay alphax)) 2) 1)) (* 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 (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)) u0)) (-.f32 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))))) (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 (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 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))

soundness1.5s (8.4%)

Memory
31.7MiB live, 1 141.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01061065
0181980
1762711
27137711
08589711
0169053630
1660253450
0811749908
01552005
02361536
110731464
272251464
089441453
0208369230
1785069088
0808064415
052315296
1174712736
0811411871
01391025
0234785
11051764
26396734
08213734
02820125682
09149117381
032310
057205
1228188
22076188
08656178
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 3 130 to 887 computations (71.7% saved)

preprocess207.0ms (1.1%)

Memory
-0.0MiB live, 192.8MiB allocated
Compiler

Compiled 2 322 to 444 computations (80.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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