
Time bar (total: 18.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 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 |
Compiled 120 to 50 computations (58.3% saved)
| 3.7s | 8 256× | 0 | valid |
ival-mult: 623.0ms (20.8% of total)ival-div: 434.0ms (14.5% of total)ival-tan: 379.0ms (12.7% of total)ival-cos: 323.0ms (10.8% of total)const: 315.0ms (10.5% of total)ival-sin: 304.0ms (10.2% of total)ival-<=: 178.0ms (6% of total)ival-add: 111.0ms (3.7% of total)ival-atan: 99.0ms (3.3% of total)ival-sqrt: 60.0ms (2% of total)ival-pi: 54.0ms (1.8% of total)ival-sub: 51.0ms (1.7% of total)ival-and: 43.0ms (1.4% of total)exact: 14.0ms (0.5% of total)ival-assert: 3.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 187 | 5 | (3.825744443020085e-6 0.00043875156552530825 0.0002438236988382414 0.47292062640190125) | 9 | (5.335637069947552e-7 0.0032569891773164272 0.013046419247984886 0.0013002966297790408) | (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
| 176 | 2 | (1.3313613180798711e-6 0.00019799968868028373 0.00037164060631766915 0.00033116177655756474) | 9 | (0.0004360410966910422 2.115603638230823e-5 0.6724443435668945 0.004025507252663374) | (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) |
| 0 | 0 | - | 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)))) |
| 0 | 0 | - | 0 | - | (*.f32 alphax alphax) |
| 0 | 0 | - | 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)))))))) |
| 0 | 0 | - | 0 | - | (PI.f32) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary32) |
| 0 | 0 | - | 0 | - | (/.f32 alphay alphax) |
| 0 | 0 | - | 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)))) |
| 0 | 0 | - | 0 | - | #s(literal 1/2 binary32) |
| 0 | 0 | - | 0 | - | (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
| 0 | 0 | - | 0 | - | (-.f32 #s(literal 1 binary32) u0) |
| 0 | 0 | - | 0 | - | u1 |
| 0 | 0 | - | 0 | - | (*.f32 #s(literal 1/2 binary32) (PI.f32)) |
| 0 | 0 | - | 0 | - | alphax |
| 0 | 0 | - | 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))))) |
| 0 | 0 | - | 0 | - | u0 |
| 0 | 0 | - | 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)))))))) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) |
| 0 | 0 | - | 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))))))) |
| 0 | 0 | - | 0 | - | (*.f32 alphay alphay) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 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) |
| 0 | 0 | - | 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)))))) |
| 0 | 0 | - | 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)) |
| 0 | 0 | - | 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))) |
| 0 | 0 | - | 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)) |
| 0 | 0 | - | 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))))) |
| 0 | 0 | - | 0 | - | alphay |
| 0 | 0 | - | 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))) |
| 0 | 0 | - | 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)) |
| 0 | 0 | - | 0 | - | (*.f32 #s(literal 2 binary32) (PI.f32)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
tan.f32 | (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) | cancellation | 183 | 11 |
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))))))) | sensitivity | 169 | 20 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 198 | 58 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 198 | 16 | 42 |
| number | freq |
|---|---|
| 0 | 58 |
| 1 | 44 |
| 2 | 154 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 0 |
| 163.0ms | 512× | 0 | valid |
Compiled 2 564 to 132 computations (94.9% saved)
ival-mult: 31.0ms (23.4% of total)ival-tan: 26.0ms (19.6% of total)ival-div: 20.0ms (15.1% of total)ival-sin: 17.0ms (12.8% of total)ival-cos: 17.0ms (12.8% of total)ival-add: 7.0ms (5.3% of total)ival-atan: 6.0ms (4.5% of total)ival-sub: 3.0ms (2.3% of total)ival-sqrt: 3.0ms (2.3% of total)ival-pi: 2.0ms (1.5% of total)ival-true: 1.0ms (0.8% of total)exact: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 202 | 1260 |
| 1 | 491 | 1222 |
| 2 | 1013 | 1108 |
| 3 | 3236 | 1108 |
| 4 | 6267 | 1108 |
| 0 | 32 | 88 |
| 0 | 57 | 88 |
| 1 | 89 | 86 |
| 2 | 127 | 78 |
| 3 | 176 | 78 |
| 4 | 270 | 78 |
| 5 | 720 | 78 |
| 6 | 2225 | 78 |
| 7 | 4183 | 78 |
| 8 | 6168 | 78 |
| 0 | 8044 | 73 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 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 (/.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)))) |
Compiled 88 to 32 computations (63.6% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 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))))) |
Compiled 88 to 32 computations (63.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 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))))) | |
| cost-diff | 64 | (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay 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-diff | 160 | (*.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-diff | 224 | (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 824 |
| 0 | 57 | 824 |
| 1 | 89 | 814 |
| 2 | 127 | 730 |
| 3 | 176 | 730 |
| 4 | 270 | 730 |
| 5 | 720 | 730 |
| 6 | 2225 | 730 |
| 7 | 4183 | 730 |
| 8 | 6168 | 730 |
| 0 | 8044 | 681 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 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 (/.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 (/.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 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 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 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) (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))))))) |
(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 (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 (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 (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)) |
(/.f32 alphay alphax) |
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)) |
(*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) |
(*.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 (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 (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 (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) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.36623002930532605 | (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) | |
| accuracy | 0.4655075195368841 | (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) | |
| accuracy | 11.68807733768657 | (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) | |
| accuracy | 12.239473810058847 | (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) |
| 100.0ms | 256× | 0 | valid |
Compiled 1 650 to 66 computations (96% saved)
ival-mult: 32.0ms (37.2% of total)ival-div: 15.0ms (17.4% of total)ival-sin: 10.0ms (11.6% of total)ival-tan: 10.0ms (11.6% of total)ival-cos: 8.0ms (9.3% of total)ival-add: 3.0ms (3.5% of total)ival-atan: 3.0ms (3.5% of total)ival-sqrt: 2.0ms (2.3% of total)ival-pi: 1.0ms (1.2% of total)ival-sub: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (*.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) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (/.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))))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 alphax) (#s(alt #<batchref> (patch (*.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) #<representation binary32>) () ())) ()) |
#s(alt #<batchref> (taylor 0 alphax) (#s(alt #<batchref> (patch (*.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) #<representation binary32>) () ())) ()) |
#s(alt #<batchref> (taylor 0 alphax) (#s(alt #<batchref> (patch (*.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) #<representation binary32>) () ())) ()) |
#s(alt #<batchref> (taylor 0 alphax) (#s(alt #<batchref> (patch (*.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) #<representation binary32>) () ())) ()) |
#s(alt #<batchref> (taylor 0 alphax) (#s(alt #<batchref> (patch (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))) #<representation binary32>) () ())) ()) |
#s(alt #<batchref> (taylor 0 alphax) (#s(alt #<batchref> (patch (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))) #<representation binary32>) () ())) ()) |
#s(alt #<batchref> (taylor 0 alphax) (#s(alt #<batchref> (patch (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))) #<representation binary32>) () ())) ()) |
#s(alt #<batchref> (taylor 0 alphax) (#s(alt #<batchref> (patch (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))) #<representation binary32>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | alphay | @ | 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)))))))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))) |
| 18.0ms | alphax | @ | -inf | ((+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))) |
| 18.0ms | alphax | @ | inf | ((+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))) |
| 16.0ms | alphax | @ | 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)))))))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))) |
| 14.0ms | u1 | @ | inf | ((+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 547 | 29379 |
| 1 | 1836 | 24471 |
| 0 | 8246 | 22764 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (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) (+ (* -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)))) |
(* (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)))) |
(* (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)))) |
(/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 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 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 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)) |
1 |
(+ 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))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (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 (cos (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 (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (cos (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 (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))))) (+ (* -1 (/ (pow u0 2) (* (pow (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* (pow u0 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))))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (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 (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) |
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))) |
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))) |
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))) |
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))) |
(/ (* (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 (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ (* (pow alphay 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) u0) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) |
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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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(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(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) |
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))) |
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))) |
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(/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) |
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(pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) |
(/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))) |
(+ (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))) (/ (* alphay (* u1 (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) alphax)) |
(+ (* u1 (+ (* 2 (/ (* alphay (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) alphax))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI)))))) |
(+ (* u1 (+ (* u1 (+ (* 2 (/ (* alphay (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* alphay (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) alphax))) (/ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) alphax))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI)))))) |
(* 2 (* u1 (PI))) |
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI)))) |
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI)))) |
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI)))) |
(/ 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)))) |
(/ 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)))) |
(/ 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)))) |
(/ 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)))) |
(+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (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))) |
(+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (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))) |
(sqrt (/ 1 (+ 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))))))))) 2) (pow alphay 2))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 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))))))))) 2) (pow alphay 2))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 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))))))))) 2) (pow alphay 2))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 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))))))))) 2) (pow alphay 2))) (- 1 u0)))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) |
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))) |
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))) |
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))) |
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))) |
(* 2 (* u1 (PI))) |
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1))))) |
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1))))) |
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1))))) |
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(/ 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)))) |
(/ 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)))) |
(/ 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)))) |
(+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (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))) |
(+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (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))) |
(sqrt (/ 1 (+ 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))))))))) 2) (pow alphay 2))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 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))))))))) 2) (pow alphay 2))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 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))))))))) 2) (pow alphay 2))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 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))))))))) 2) (pow alphay 2))) (- 1 u0)))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) |
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))) |
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))) |
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))) |
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))) |
(/ (* (pow alphay 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) (+ (* -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)))) |
(/ (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (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) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (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) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (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 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
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(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) |
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))) |
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))) |
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))) |
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))) |
(/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) |
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(/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) |
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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)))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) |
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))) |
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))) |
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))) |
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))) |
(/ 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)))) |
(/ 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)))) |
(/ 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)))) |
(/ 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 |
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(+ 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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(/ 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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(+ (sqrt (/ 1 (- 1 (/ 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 (/ (+ (* 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))) (pow (- 1 (/ 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))))) 2))) (* 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| Outputs |
|---|
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#s(literal 1 binary32) |
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(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) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 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) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 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) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 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)) |
(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) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #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)) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) (+.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)))) (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.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 2 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.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 (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 -1/2 binary32) (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.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 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.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 4 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (+.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)))) (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.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 2 binary32)))) (/.f32 (/.f32 #s(literal 2 binary32) (pow.f32 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.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 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.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 3 binary32))))) u0)))) u0)) u0)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 324 |
| 0 | 57 | 219 |
| 1 | 228 | 202 |
| 2 | 2076 | 202 |
| 0 | 8656 | 191 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) |
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) |
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
(*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) |
(*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) |
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Compiled 132 975 to 7 916 computations (94% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 153 | 15 | 1 168 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 1 153 | 16 | 1 169 |
| Status | Accuracy | Program |
|---|---|---|
| 89.8% | (pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) | |
| 88.6% | (/.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)))) | |
| ▶ | 55.1% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) alphay) (/.f32 #s(literal 1/2 binary32) alphay) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
| 51.8% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.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)) alphax) (/.f32 #s(literal 1/2 binary32) alphax) (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))))) | |
| 54.4% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (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)))) u0) (-.f32 #s(literal 1 binary32) u0))))) | |
| ▶ | 61.6% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.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)) alphax) alphay (*.f32 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 alphax alphay))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
| ▶ | 94.2% | (/.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))))) |
| 94.3% | (/.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 (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))))) | |
| 97.2% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32)))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) | |
| 98.2% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay 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))))) |
| 98.3% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) | |
| 98.2% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #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))))) | |
| 97.8% | (/.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 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))))) | |
| ▶ | 98.4% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
| ▶ | 92.8% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32)) |
Compiled 2 528 to 1 186 computations (53.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 160 | (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) | |
| cost-diff | 160 | (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) | |
| cost-diff | 224 | (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) | |
| cost-diff | 7392 | (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.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)) alphax) alphay (*.f32 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 alphax alphay))) u0) (-.f32 #s(literal 1 binary32) u0))))) | |
| cost-diff | 160 | (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) | |
| cost-diff | 256 | (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.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)) alphax) alphay (*.f32 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 alphax alphay))) u0) (-.f32 #s(literal 1 binary32) u0))) | |
| cost-diff | 352 | (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.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)) alphax) alphay (*.f32 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 alphax alphay))) | |
| cost-diff | 0 | (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)))) | |
| cost-diff | 0 | (/.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))))) | |
| cost-diff | 160 | (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) | |
| cost-diff | 160 | (*.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) | |
| cost-diff | 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))))) #s(literal 1 binary32)) | |
| cost-diff | 0 | (+.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-diff | 0 | (/.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-diff | 0 | (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-diff | 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))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 2726 |
| 0 | 198 | 2501 |
| 1 | 318 | 2305 |
| 2 | 463 | 2303 |
| 3 | 814 | 2303 |
| 4 | 1824 | 2303 |
| 5 | 4698 | 2303 |
| 0 | 8570 | 2300 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 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 #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(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)))) |
(+.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))) |
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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 #s(literal 1/2 binary32) alphay) |
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u0 |
(-.f32 #s(literal 1 binary32) u0) |
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#s(literal 1 binary32) |
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(*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)) |
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) |
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
#s(literal 1/2 binary32) |
(PI.f32) |
(*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) |
u1 |
(*.f32 (PI.f32) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(/.f32 alphay alphax) |
alphay |
alphax |
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(/.f32 (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 (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)) |
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(*.f32 alphax alphay) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
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#s(literal 1 binary32) |
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(*.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) (+.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)))) |
(+.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))) |
(/.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 alphax alphax)) |
(fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) |
(cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) |
(*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32)) |
(atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) |
(*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)) |
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) |
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
#s(literal 1/2 binary32) |
(PI.f32) |
(*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) |
u1 |
(*.f32 (PI.f32) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(/.f32 alphay alphax) |
alphay |
alphax |
(*.f32 alphax alphax) |
(/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)) |
(*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) |
(sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) |
(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))) |
(*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) |
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) |
(*.f32 #s(literal 2 binary32) (PI.f32)) |
(*.f32 #s(literal 1/2 binary32) (PI.f32)) |
(*.f32 alphay alphay) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
| 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 (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 (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 (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 (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 (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 (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) (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) (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) (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) (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) (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 (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 (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)) |
(PI.f32) |
(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 (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) (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) (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) (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) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) alphay) alphay) (-.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
#s(literal 1 binary32) |
(sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) alphay) alphay) (-.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))) |
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) alphay) alphay) (-.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) alphay) alphay) (-.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) |
(/.f32 u0 (fma.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) alphay) alphay) (-.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (/.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) (fma.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) alphay) alphay) (-.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (/.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 (/.f32 #s(literal -1/2 binary32) alphay) alphay) (-.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))) |
(/.f32 (-.f32 #s(literal 1 binary32) (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)))) alphay) |
(-.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)))) |
(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)) |
#s(literal 1/2 binary32) |
(PI.f32) |
(*.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 #s(literal 1/2 binary32) alphay) |
(pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)) |
(/.f32 (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)))) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (fma.f32 (/.f32 u0 (/.f32 (-.f32 #s(literal 1 binary32) u0) alphax)) (/.f32 alphay (fma.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) alphax) alphay (*.f32 (/.f32 alphax alphay) (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(literal 1 binary32)))) |
#s(literal 1 binary32) |
(sqrt.f32 (fma.f32 (/.f32 u0 (/.f32 (-.f32 #s(literal 1 binary32) u0) alphax)) (/.f32 alphay (fma.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) alphax) alphay (*.f32 (/.f32 alphax alphay) (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(literal 1 binary32))) |
(fma.f32 (/.f32 u0 (/.f32 (-.f32 #s(literal 1 binary32) u0) alphax)) (/.f32 alphay (fma.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) alphax) alphay (*.f32 (/.f32 alphax alphay) (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(literal 1 binary32)) |
(/.f32 (/.f32 u0 (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) alphax) alphay)) (fma.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) alphax) alphay (*.f32 (/.f32 alphax alphay) (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 (*.f32 alphax alphay) u0) (fma.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) alphax) alphay (*.f32 (/.f32 alphax alphay) (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 alphax alphay) (fma.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) alphax) alphay (*.f32 (/.f32 alphax alphay) (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 (fma.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) alphax) alphay (*.f32 (/.f32 alphax alphay) (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 alphax alphay)) |
(fma.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) alphax) alphay (*.f32 (/.f32 alphax alphay) (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 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) alphax) |
(pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) |
(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)) |
#s(literal 1/2 binary32) |
(PI.f32) |
(*.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 alphax alphay) (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 (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) |
(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)))) |
(*.f32 alphax 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 (/.f32 #s(literal 1/2 binary32) alphax) alphax) (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.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 alphay alphay)))) #s(literal 1 binary32)))) |
#s(literal 1 binary32) |
(sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) alphax) alphax) (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.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 alphay alphay)))) #s(literal 1 binary32))) |
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) alphax) alphax) (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.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 alphay alphay)))) #s(literal 1 binary32)) |
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) alphax) alphax) (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.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 alphay alphay)))) |
(/.f32 u0 (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) alphax) alphax) (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.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 alphay alphay)))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) alphax) alphax) (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.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 alphay alphay)))) |
(fma.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) alphax) alphax) (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.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 alphay alphay))) |
(/.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 alphax alphax)) |
(fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) |
(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)) |
#s(literal 1/2 binary32) |
(PI.f32) |
(*.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 alphax alphax) |
(/.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 alphay alphay)) |
(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)) |
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) |
(*.f32 (PI.f32) #s(literal 2 binary32)) |
(*.f32 (PI.f32) #s(literal 1/2 binary32)) |
(*.f32 alphay alphay) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 11.68807733768657 | (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) | |
| accuracy | 11.68807733768657 | (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) | |
| accuracy | 26.31624978493308 | (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) | |
| accuracy | 26.688997842319864 | (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)) | |
| accuracy | 6.397385028817049 | (fma.f32 (/.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)) alphax) alphay (*.f32 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))) | |
| accuracy | 11.68807733768657 | (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) | |
| accuracy | 12.239473810058847 | (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)))) | |
| accuracy | 26.31624978493308 | (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) | |
| accuracy | 11.68807733768657 | (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) | |
| accuracy | 12.239473810058847 | (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)))) | |
| accuracy | 26.31624978493308 | (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) | |
| accuracy | 26.94309174081066 | (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))) | |
| accuracy | 2.30367806139608 | #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)) | |
| accuracy | 0.4655075195368841 | (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)) | |
| accuracy | 11.589015110759943 | (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) | |
| accuracy | 12.239473810058847 | (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))))))) | |
| accuracy | 26.43202629317798 | (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
| 274.0ms | 254× | 0 | valid |
| 6.0ms | 2× | 1 | valid |
Compiled 5 517 to 218 computations (96% saved)
ival-div: 51.0ms (21.6% of total)ival-cos: 36.0ms (15.2% of total)ival-mult: 36.0ms (15.2% of total)ival-sin: 26.0ms (11% of total)ival-tan: 17.0ms (7.2% of total)ival-add: 15.0ms (6.3% of total)ival-cosu: 12.0ms (5.1% of total)ival-pow2: 12.0ms (5.1% of total)ival-sinu: 10.0ms (4.2% of total)ival-atan: 8.0ms (3.4% of total)ival-sqrt: 8.0ms (3.4% of total)ival-sub: 2.0ms (0.8% of total)ival-pi: 1.0ms (0.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #<batchref> (patch #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))))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (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)))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (/.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))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (+.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)) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch #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)) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (*.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) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (/.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))))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (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)))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.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)) alphax) alphay (*.f32 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 alphax alphay))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.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)) alphax) alphay (*.f32 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 alphax alphay))) u0) (-.f32 #s(literal 1 binary32) u0))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.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)) alphax) alphay (*.f32 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 alphax alphay))) u0) (-.f32 #s(literal 1 binary32) u0))))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (*.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) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (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))))))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (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)) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (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))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (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)))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (fma.f32 (/.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)) alphax) alphay (*.f32 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))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (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)) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) #<representation binary32>) () ()) |
| Outputs |
|---|
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
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| 65.0ms | 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 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0)))) (/ 1 (/ (+ (* (/ (pow (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) 2) alphax) alphay) (* alphax (/ (pow (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) 2) alphay))) (* alphax alphay))) (+ 1 (/ (* (/ 1 (/ (+ (* (/ (pow (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) 2) alphax) alphay) (* alphax (/ (pow (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) 2) alphay))) (* alphax alphay))) u0) (- 1 u0))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (/ (+ (* (/ (pow (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) 2) alphax) alphay) (* alphax (/ (pow (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) 2) alphay))) (* alphax alphay))) u0) (- 1 u0))))) (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (+ (* (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (+ (* 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) (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 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)))) 2) alphax) alphay) (* alphax (/ (pow (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) 2) alphay))) (+ (* (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2)) 1/2) 1/2) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2043 | 141993 |
| 1 | 7719 | 141659 |
| 0 | 8157 | 131680 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
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1 |
(+ 1 (* -1/2 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 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)))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))))))) |
1 |
(+ 1 (* -1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphax 2) (- (* -1 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (* (pow alphax 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 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)))))))) 6) (pow (- 1 u0) 2)))))))) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
1 |
(+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) |
(+ 1 (* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
1 |
(+ 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))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (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 (cos (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 (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (cos (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 (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))))) (+ (* -1 (/ (pow u0 2) (* (pow (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* (pow u0 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))))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (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 (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 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 2) (+ (* -1/2 (/ (* (pow alphax 2) (* u0 (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) (* (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)))) |
(* (pow alphax 2) (+ (* (pow alphax 2) (- (* 1/4 (/ (* (pow alphax 2) (* u0 (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (pow alphay 4) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (* 1/2 (/ (* u0 (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (* (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)))) |
(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1/8 (/ (* (pow alphax 2) (* u0 (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3))) (* (pow alphay 6) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8)))) (* -1/4 (/ (* u0 (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)) (* (pow alphay 4) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))))) (* 1/2 (/ (* u0 (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (* (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)))) |
1 |
(+ 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))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (pow u0 2) (* (pow (cos (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (* (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))))) (* 1/4 (/ (pow u0 2) (* (pow (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (pow u0 2) (* (pow (cos (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))) (* (pow (cos (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (pow u0 2) (* (pow (cos (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (* (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))))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2))))))) (* (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 u0 2) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (* (pow alphay 2) (* (pow (cos (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 (cos (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (* (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))))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))))))))))) |
1 |
(+ 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))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* 1/4 (/ (pow u0 2) (* (pow (cos (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (* (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)))))))) (* 1/2 (/ 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 alphax 2) (+ (* 1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1/2 (/ (* u0 (+ (* 1/4 (/ (pow u0 2) (* (pow (cos (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))) (* (pow (cos (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))))))) (* -1/2 (+ (* 1/4 (/ (pow u0 2) (* (pow (cos (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))))))))) |
(/ (pow alphax 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) |
(* (pow alphax 2) (+ (* -1 (/ (* (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))))))))) 4)))) (/ 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 alphax 2) (- (/ (* (pow alphax 2) (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 (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) |
(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (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 (/ (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 (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) |
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 alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
1 |
(+ 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))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (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 (cos (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 (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (cos (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 (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))))) (+ (* -1 (/ (pow u0 2) (* (pow (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* (pow u0 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))))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (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 (cos (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 (cos (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) |
(pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (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 (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) |
(/ (* (pow alphax 2) u0) (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) |
(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 2)))) (/ u0 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) |
(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 3))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 2))))) (/ u0 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) |
(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 4)))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 3)))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 2))))) (/ u0 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) |
(/ (+ (* 1/2 (/ (* (pow alphax 2) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (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)) |
(/ (+ (* 1/2 (/ (* (pow alphax 2) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (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)) |
(/ (+ (* 1/2 (/ (* (pow alphax 2) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (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)) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax) |
(/ (+ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (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)) alphay)) alphax) |
(/ (+ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (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)) alphay)) alphax) |
(/ (+ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (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)) alphay)) alphax) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) |
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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)))) (sqrt (/ 1 (pow (+ 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)))) 3)))))))) |
(/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ (/ 1 (+ 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 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 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)))) 2) (- 1 u0)))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 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)))) 2) (- 1 u0))))) (pow alphax 4))) (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (* -1 (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 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)))) 2) (- 1 u0))))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 2) (- 1 u0))))) (+ (/ (* (pow alphay 4) (* u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 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)))) 2) (- 1 u0)))))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (- 1 u0)))) (/ (* (pow alphay 10) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 10) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2)))))) (pow alphax 6))) (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 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)))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (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)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2)))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 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)))) 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)))) |
(+ 1 (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(- (+ 1 (+ (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))))) (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) |
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(* 2 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) |
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(- (+ (* 2 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) (* 8 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3))))) (* 4 (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))) |
(- (+ (* -16 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 4)))) (* 2 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))) (+ (* -8 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3)))) (* 4 (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))))) |
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(+ (sqrt (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))))) (* -2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))) (sqrt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))))))))) |
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(/ (pow alphay 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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(- (+ (/ (* (pow alphay 6) (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))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (/ (* (pow alphay 4) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (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 (/ (* (pow alphay 8) (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)))) (/ (pow alphay 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (+ (* -1 (/ (* (pow alphay 6) (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)))) (/ (* (pow alphay 4) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (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 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) |
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(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
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(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) |
(* alphax (+ (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (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) alphay))) |
(* alphax (+ (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (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) alphay))) |
(* alphax (+ (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (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) alphay))) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) |
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
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(* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0))))))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (* (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (- 1 u0))))) (+ (/ (* (pow alphay 4) (* u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* 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1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3)))))))) |
(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (* 1/2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 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)))) 3)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 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)))) 2) (- 1 u0)))))) (pow alphax 4)) (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) (* 1/2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 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)))) 3))))))) |
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(* 2 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) |
(+ (* -4 (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))) (* 2 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))) |
(- (+ (* 2 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) (* 8 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3))))) (* 4 (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))) |
(- (+ (* -16 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 4)))) (* 2 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))) (+ (* -8 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3)))) (* 4 (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (pow (- 1 (cos (* 2 (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 (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) |
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1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3)))))))) |
(pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (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 (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (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) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) |
(+ (* -1 (/ (* (pow alphay 4) (* u0 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ (* (pow alphay 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) u0) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (/ (* (pow alphay 6) (* u0 (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 2))) (* (pow alphax 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (/ (* (pow alphay 4) (* u0 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) |
(- (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 3))) (* (pow alphax 6) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8)))) (/ (* (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 (/ (* (pow alphay 6) (* u0 (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 2))) (* (pow alphax 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (/ (* (pow alphay 4) (* u0 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (pow alphay 2))) |
(+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) |
(+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) |
(+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) |
(* -1 (* alphax (+ (* -1 (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (pow alphax 2))) (* -1 (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) alphay))))) |
(* -1 (* alphax (+ (* -1 (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (pow alphax 2))) (* -1 (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) alphay))))) |
(* -1 (* alphax (+ (* -1 (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (pow alphax 2))) (* -1 (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) alphay))))) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) |
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(/ 1 (+ 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))))) |
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(sqrt (/ 1 (+ 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))))))))) 2) (pow alphay 2))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 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))))))))) 2) (pow alphay 2))) (- 1 u0)))))) |
(/ u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))) |
(/ u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))) |
(/ u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))) |
(/ u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))) |
(* 1/2 (PI)) |
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(sqrt (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) (- 1 u0)))))) |
(sqrt (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) (- 1 u0))))) |
(sqrt (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) (- 1 u0))))) |
(sqrt (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) (- 1 u0))))) |
(sqrt (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) (- 1 u0))))) |
(/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))) |
(/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))) |
(/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))) |
(/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))) |
(+ 1 (/ (* alphax (* alphay u0)) (* (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) (- 1 u0)))) |
(+ 1 (/ (* alphax (* alphay u0)) (* (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) (- 1 u0)))) |
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(+ 1 (/ (* alphax (* alphay u0)) (* (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) (- 1 u0)))) |
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(sqrt (/ 1 (+ 1 (/ (* alphax (* alphay u0)) (* (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) (- 1 u0)))))) |
(sqrt (/ 1 (+ 1 (/ (* alphax (* alphay u0)) (* (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) (- 1 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) |
(pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (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 (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) |
(* 1/2 (PI)) |
(+ (* 1/2 (PI)) (* 2 (* u1 (PI)))) |
(+ (* 1/2 (PI)) (* 2 (* u1 (PI)))) |
(+ (* 1/2 (PI)) (* 2 (* u1 (PI)))) |
(/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (+ (* 1/2 (/ 1 (pow alphax 2))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) |
(/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (+ (* 1/2 (/ 1 (pow alphax 2))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) |
(/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (+ (* 1/2 (/ 1 (pow alphax 2))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) |
(/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (+ (* 1/2 (/ 1 (pow alphax 2))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) |
1/2 |
(+ 1/2 (* 2 u1)) |
(+ 1/2 (* 2 u1)) |
(+ 1/2 (* 2 u1)) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (* 1/2 (PI))) |
(+ (cos (* 1/2 (PI))) (* -2 (* u1 (* (PI) (sin (* 1/2 (PI))))))) |
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(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(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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(* 2 (* u1 (PI))) |
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI)))) |
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(/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))) |
(/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))) |
(/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))) |
(+ 1 (/ (* alphax (* alphay u0)) (* (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) (- 1 u0)))) |
(+ 1 (/ (* alphax (* alphay u0)) (* (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) (- 1 u0)))) |
(+ 1 (/ (* alphax (* alphay u0)) (* (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) (- 1 u0)))) |
(+ 1 (/ (* alphax (* alphay u0)) (* (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) (- 1 u0)))) |
(sqrt (/ 1 (+ 1 (/ (* alphax (* alphay u0)) (* (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) (- 1 u0)))))) |
(sqrt (/ 1 (+ 1 (/ (* alphax (* alphay u0)) (* (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) (- 1 u0)))))) |
(sqrt (/ 1 (+ 1 (/ (* alphax (* alphay u0)) (* (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) (- 1 u0)))))) |
(sqrt (/ 1 (+ 1 (/ (* alphax (* alphay u0)) (* (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) (- 1 u0)))))) |
(pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (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 (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (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) |
(* 2 (* u1 (PI))) |
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI)))) |
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI)))) |
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI)))) |
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(/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (+ (* 1/2 (/ 1 (pow alphax 2))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) |
(/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (+ (* 1/2 (/ 1 (pow alphax 2))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) |
(/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (+ (* 1/2 (/ 1 (pow alphax 2))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) |
(* 2 u1) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (* (PI) (+ 1/2 (* 2 u1)))) |
(cos (* (PI) (+ 1/2 (* 2 u1)))) |
(cos (* (PI) (+ 1/2 (* 2 u1)))) |
(cos (* (PI) (+ 1/2 (* 2 u1)))) |
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(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(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))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
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(+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) |
(+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) |
(+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) |
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(/ u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))) |
(/ u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))) |
(/ u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))) |
(/ u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))) |
(* 2 (* u1 (PI))) |
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1))))) |
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1))))) |
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) (- 1 u0)))))) |
(sqrt (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) (- 1 u0))))) |
(sqrt (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) (- 1 u0))))) |
(sqrt (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) (- 1 u0))))) |
(sqrt (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) (- 1 u0))))) |
(/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))) |
(/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))) |
(/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))) |
(/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))) |
(+ 1 (/ (* alphax (* alphay u0)) (* (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) (- 1 u0)))) |
(+ 1 (/ (* alphax (* alphay u0)) (* (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) (- 1 u0)))) |
(+ 1 (/ (* alphax (* alphay u0)) (* (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) (- 1 u0)))) |
(+ 1 (/ (* alphax (* alphay u0)) (* (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) (- 1 u0)))) |
(sqrt (/ 1 (+ 1 (/ (* alphax (* alphay u0)) (* (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) (- 1 u0)))))) |
(sqrt (/ 1 (+ 1 (/ (* alphax (* alphay u0)) (* (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) (- 1 u0)))))) |
(sqrt (/ 1 (+ 1 (/ (* alphax (* alphay u0)) (* (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) (- 1 u0)))))) |
(sqrt (/ 1 (+ 1 (/ (* alphax (* alphay u0)) (* (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) (- 1 u0)))))) |
(pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (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 (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (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) |
(* 2 (* u1 (PI))) |
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1))))) |
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1))))) |
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1))))) |
(/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (+ (* 1/2 (/ 1 (pow alphax 2))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) |
(/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (+ (* 1/2 (/ 1 (pow alphax 2))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) |
(/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (+ (* 1/2 (/ 1 (pow alphax 2))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) |
(/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (+ (* 1/2 (/ 1 (pow alphax 2))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) |
(* 2 u1) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
(cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2) |
(+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) |
(+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) |
(+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) |
(+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) |
(+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) |
(+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) |
(+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
1 |
(+ 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))))) |
(+ 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))))))) |
(+ 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)))))))))))) |
1 |
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))))))) |
1 |
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2)))))))) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
1 |
(+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) |
(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
1 |
(+ 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))))) |
(+ 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))))))) |
(+ 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)))))))))))) |
(* 2 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) |
(* (pow alphay 2) (+ (* -4 (/ (* (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 (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))) (* 2 (/ u0 (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) |
(* (pow alphay 2) (+ (* 2 (/ u0 (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) (* (pow alphay 2) (- (* 8 (/ (* (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 (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3)))) (* 4 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))))))) |
(* (pow alphay 2) (+ (* 2 (/ u0 (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) (* (pow alphay 2) (- (* (pow alphay 2) (- (* -16 (/ (* (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 (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 4)))) (* -8 (/ (* 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 (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3)))))) (* 4 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))))))) |
1 |
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) |
(+ 1 (* (pow alphay 2) (+ (* -1 (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))) (* -1/2 (* (pow alphay 2) (+ (* -4 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))) (+ (* -4 (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))) (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))))))))) |
(+ 1 (* (pow alphay 2) (+ (* -1 (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -2 (/ (* u0 (+ (* -4 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))) (* -4 (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))))) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))) (+ (* 8 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3))))) (+ (* 8 (/ (* (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 (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3))))) (/ (* u0 (+ (* -4 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))) (+ (* -4 (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))) (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))))) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))))))) (* -1/2 (+ (* -4 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))) (+ (* -4 (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))) (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))))))))) |
1 |
(+ 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))) |
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* 4 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))) (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))))) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))))) |
(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -8 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3))))) (* -1 (/ (* u0 (+ (* 4 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))) (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))))) (* -1/2 (+ (* 4 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))) (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))))) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))))) |
(/ (pow alphay 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 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))))))))) 4)))) (/ 1 (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) (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))) (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (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 (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) (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 (/ (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)))))) (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (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 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) |
1 |
(+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) |
(+ 1 (* (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)))))) |
1 |
(+ 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))))) |
(+ 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))))))) |
(+ 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)))))))))))) |
(pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (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 (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (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) (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 alphay 2) (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)) (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8))) (* -1 (/ (* u0 (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))))) (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (pow alphay 2))) |
(/ (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (/ (* (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 alphay 2)) |
(/ (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (/ (* (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 alphay 2)) |
(/ (+ (* 1/2 (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (/ (* (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 alphay 2)) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) |
(/ (+ (* alphax (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)) alphax)) alphay) |
(/ (+ (* alphax (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)) alphax)) alphay) |
(/ (+ (* alphax (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)) alphax)) alphay) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) |
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(/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (pow alphay 4))) (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))))) |
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(- (+ 1 (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) |
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(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax) |
(* alphay (+ (/ (* alphax (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) alphax))) |
(* alphay (+ (/ (* alphax (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) alphax))) |
(* alphay (+ (/ (* alphax (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) alphax))) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) |
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(* 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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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 (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (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 (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (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) |
(/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) |
(+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2)))) (/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))))) |
(- (+ (/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2)))) |
(- (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)) (* (pow alphay 6) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4)))) (/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))))) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) |
(+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) |
(+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) |
(+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax) |
(* -1 (* alphay (+ (* -1 (/ (* alphax (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) alphax))))) |
(* -1 (* alphay (+ (* -1 (/ (* alphax (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) alphax))))) |
(* -1 (* alphay (+ (* -1 (/ (* alphax (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) alphax))))) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) |
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 (* -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 (* -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))))))) |
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 (+ (/ 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 (* 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))))))) |
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)))))))) |
(/ u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))) |
(/ u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))) |
(/ u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))) |
(/ u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))) |
1 |
(+ 1 (* -1/2 (/ u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))))) |
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) 2))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))))))) (* 1/2 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))))))) |
(+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) 2))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))))) (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))))) (+ (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))) (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) 2))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))))))) (* 1/2 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))))))) |
1 |
(+ 1 (* 1/2 (/ u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))))) |
(+ 1 (* u0 (+ (* 1/2 (* u0 (- (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))) (* 1/4 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) 2)))))) (* 1/2 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))))))) |
(+ 1 (* u0 (+ (* u0 (+ (* 1/2 (* u0 (- (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))) (* 1/2 (/ (- (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))) (* 1/4 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) 2)))) (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))))))) (* 1/2 (- (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))) (* 1/4 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) 2))))))) (* 1/2 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))))))) |
1 |
(+ 1 (/ (* alphax (* alphay u0)) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)))) |
(+ 1 (* u0 (+ (/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))) (/ (* alphax (* alphay u0)) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)))))) |
(+ 1 (* u0 (+ (* u0 (- (/ (* alphax (* alphay u0)) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))) (* -1 (/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)))))) (/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)))))) |
1 |
(+ 1 (* -1/2 (/ (* alphax (* alphay u0)) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))))) |
(+ 1 (* u0 (+ (* -1/2 (* u0 (+ (* -1 (/ (* (pow alphax 2) (pow alphay 2)) (pow (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) 2))) (+ (* 1/4 (/ (* (pow alphax 2) (pow alphay 2)) (pow (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) 2))) (/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))))))) (* -1/2 (/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))))))) |
(+ 1 (* u0 (+ (* -1/2 (/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)))) (* u0 (+ (* -1/2 (* u0 (+ (* -1 (/ (* alphax (* alphay (+ (* -1 (/ (* (pow alphax 2) (pow alphay 2)) (pow (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) 2))) (/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)))))) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)))) (+ (* -1 (/ (* (pow alphax 2) (pow alphay 2)) (pow (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) 2))) (+ (* 1/2 (/ (* alphax (* alphay (+ (* -1 (/ (* (pow alphax 2) (pow alphay 2)) (pow (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) 2))) (+ (* 1/4 (/ (* (pow alphax 2) (pow alphay 2)) (pow (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) 2))) (/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))))))) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)))) (/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)))))))) (* -1/2 (+ (* -1 (/ (* (pow alphax 2) (pow alphay 2)) (pow (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) 2))) (+ (* 1/4 (/ (* (pow alphax 2) (pow alphay 2)) (pow (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) 2))) (/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))))))))))) |
(/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (+ (* 1/2 (/ 1 (pow alphax 2))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) |
(/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (+ (* 1/2 (/ 1 (pow alphax 2))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) |
(/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (+ (* 1/2 (/ 1 (pow alphax 2))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) |
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alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) 2)))) (* 1/4 (/ (* (pow alphax 2) (pow alphay 2)) (* (pow (+ 1 (* -1 (/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))))) 3) (pow (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) 2)))))))) (* 1/2 (* (/ (+ (* -1 (/ (* alphax (* alphay (+ (* -1 (/ (* alphax alphay) (* (pow (+ 1 (* -1 (/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))))) 2) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))))) (* -1 (/ (* (pow alphax 2) (pow alphay 2)) (* (pow (+ 1 (* -1 (/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))))) 3) (pow (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) 2))))))) (* (+ 1 (* -1 (/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))))) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))))) (+ (* 1/2 (/ (* alphax (* alphay (+ (* -1 (/ (* alphax alphay) (* (pow (+ 1 (* -1 (/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))))) 2) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))))) (+ (* -1 (/ (* (pow alphax 2) (pow alphay 2)) (* (pow (+ 1 (* -1 (/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))))) 3) (pow (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) 2)))) (* 1/4 (/ (* (pow alphax 2) (pow alphay 2)) (* (pow (+ 1 (* -1 (/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))))) 3) (pow (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) 2)))))))) (* (+ 1 (* -1 (/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))))) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))))) (+ (/ (* alphax alphay) (* (pow (+ 1 (* -1 (/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))))) 2) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)))) (/ (* (pow alphax 2) (pow alphay 2)) (* (pow (+ 1 (* -1 (/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))))) 3) (pow (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax)) 2)))))) u0) (sqrt (+ 1 (* -1 (/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))))))))) u0)) (* -1/2 (* (/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))) (sqrt (/ 1 (pow (+ 1 (* -1 (/ (* alphax alphay) (+ (/ (* alphax (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphay) (/ (* alphay (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) alphax))))) 3)))))) u0))) |
(/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (+ (* 1/2 (/ 1 (pow alphax 2))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) |
(/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (+ (* 1/2 (/ 1 (pow alphax 2))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) |
(/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (+ (* 1/2 (/ 1 (pow alphax 2))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) |
(/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (+ (* 1/2 (/ 1 (pow alphax 2))) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) |
| Outputs |
|---|
#s(literal 1 binary32) |
(fma.f32 (*.f32 (/.f32 (*.f32 alphax alphax) (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 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal -1/2 binary32) #s(literal 1 binary32)) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (-.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) #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 alphax alphax) (/.f32 (/.f32 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 alphax alphax) #s(literal 1 binary32)) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (-.f32 (fma.f32 (*.f32 (/.f32 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 (*.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) #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 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) (fma.f32 (/.f32 u0 (pow.f32 alphay #s(literal 4 binary32))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 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 (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 #s(literal 1 binary32) u0))) (*.f32 (/.f32 (*.f32 u0 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) #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 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))))))) (*.f32 (/.f32 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 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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (-.f32 (fma.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 (/.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 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#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) (*.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)))) |
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#s(literal 1 binary32) |
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(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 #s(literal 1 binary32) u0)) (*.f32 alphax alphax)))) (*.f32 alphay alphay) #s(literal 1 binary32)) |
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#s(literal 1 binary32) |
(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)) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (-.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 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)) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (-.f32 (fma.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 (/.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 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) (fma.f32 (/.f32 u0 (pow.f32 alphax #s(literal 4 binary32))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 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 (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 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binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 (*.f32 #s(literal -1 binary32) (fma.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 (/.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))))) (-.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)) |
(/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 (fma.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))) #s(literal 2 binary32) (/.f32 (*.f32 #s(literal -4 binary32) (*.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 (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.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)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) (*.f32 alphay alphay)) |
(*.f32 (fma.f32 (fma.f32 (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 alphax #s(literal 4 binary32))) (/.f32 (*.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 4 binary32)) u0) (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.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)))) #s(literal 3 binary32)))) #s(literal 8 binary32) (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 (*.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)) u0) (*.f32 alphax alphax)) (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.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)))) #s(literal 2 binary32))))) (*.f32 alphay alphay) (/.f32 (*.f32 #s(literal 2 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 (fma.f32 (fma.f32 (fma.f32 (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 alphax #s(literal 6 binary32))) (/.f32 (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 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)) u0) (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.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)))) #s(literal 4 binary32)))) #s(literal -16 binary32) (*.f32 #s(literal 8 binary32) (/.f32 (/.f32 (*.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 4 binary32)) u0) (pow.f32 alphax #s(literal 4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.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)))) #s(literal 3 binary32))))) (*.f32 alphay alphay) (*.f32 #s(literal -4 binary32) (/.f32 (/.f32 (*.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)) u0) (*.f32 alphax alphax)) (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.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)))) #s(literal 2 binary32))))) (*.f32 alphay alphay) (/.f32 (*.f32 #s(literal 2 binary32) u0) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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)) |
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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)))))) |
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#s(literal 1 binary32) |
(fma.f32 (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))) #s(literal 1 binary32)) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (fma.f32 (/.f32 (/.f32 (*.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)) u0) (*.f32 alphax alphax)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.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)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 u0 u0) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.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)))) #s(literal 2 binary32)))) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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) #s(literal 1 binary32)) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (-.f32 (/.f32 (*.f32 #s(literal -8 binary32) (*.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 4 binary32)) u0)) (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.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)))) #s(literal 3 binary32)))) (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 (fma.f32 (/.f32 (/.f32 (*.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)) u0) (*.f32 alphax alphax)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.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)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 u0 u0) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.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)))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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) (fma.f32 (/.f32 (/.f32 (*.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)) u0) (*.f32 alphax alphax)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.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)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 4 binary32) (/.f32 (/.f32 (*.f32 u0 u0) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.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)))) #s(literal 2 binary32)))))) (*.f32 alphay alphay) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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) #s(literal 1 binary32)) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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(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)) |
(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)) |
(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)) |
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#s(literal 1 binary32) |
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u0 #s(literal 1 binary32)) |
#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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u0 #s(literal 1 binary32)) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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(-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphax alphay) (fma.f32 alphax (/.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)) alphay) (*.f32 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)) alphax))))) (/.f32 (fma.f32 (/.f32 alphax u0) (/.f32 alphay (fma.f32 alphax (/.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)) alphay) (*.f32 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)) alphax)))) (/.f32 (*.f32 alphax alphay) (fma.f32 alphax (/.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)) alphay) (*.f32 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)) alphax))))) u0)) |
(-.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 alphax alphay) (fma.f32 alphax (/.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)) alphay) (*.f32 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)) alphax))))) (/.f32 (-.f32 (/.f32 (*.f32 alphax alphay) (fma.f32 alphax (/.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)) alphay) (*.f32 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)) alphax)))) (neg.f32 (/.f32 (fma.f32 (/.f32 alphax u0) (/.f32 alphay (fma.f32 alphax (/.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)) alphay) (*.f32 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)) alphax)))) (/.f32 (*.f32 alphax alphay) (fma.f32 alphax (/.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)) alphay) (*.f32 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)) alphax))))) u0))) u0)) |
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(/.f32 u0 (fma.f32 (/.f32 (cos.f32 (*.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) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) (/.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 u0 (fma.f32 (/.f32 (cos.f32 (*.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) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) (/.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 u0 (fma.f32 (/.f32 (cos.f32 (*.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) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) (/.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 u0 (fma.f32 (/.f32 (cos.f32 (*.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) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)) (/.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))))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 1073 |
| 0 | 190 | 1001 |
| 1 | 771 | 760 |
| 2 | 6464 | 740 |
| 0 | 8504 | 740 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 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)) |
(*.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) |
(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 #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))))) |
(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)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.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)) alphax) alphay (*.f32 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 alphax alphay))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.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)) alphax) alphay (*.f32 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 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 (/.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)) alphax) alphay (*.f32 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 alphax alphay))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
(*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.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 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) |
(fma.f32 #s(literal 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)) |
(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))) |
(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))))) |
(fma.f32 (/.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)) alphax) alphay (*.f32 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))) |
(fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) |
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
| Outputs |
|---|
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Compiled 334 315 to 12 547 computations (96.2% saved)
27 alts after pruning (23 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 153 | 17 | 2 170 |
| Fresh | 4 | 6 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 159 | 27 | 2 186 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 90.3% | (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)) |
| 88.6% | (/.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)))) | |
| ✓ | 55.3% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) alphay) (/.f32 #s(literal 1/2 binary32) alphay) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
| 55.3% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (*.f32 (PI.f32) (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal 1/8 binary32))) (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1 binary32)))))) (/.f32 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))))) | |
| 51.1% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 (*.f32 u1 (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))))) | |
| 44.5% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.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) alphax) (*.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) alphax) alphay)) (*.f32 alphax alphay))) u0) (-.f32 #s(literal 1 binary32) u0))))) | |
| ✓ | 60.5% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.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)) alphax) alphay (*.f32 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 alphax alphay))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
| 94.2% | (/.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 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))) (/.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))))) | |
| 92.8% | (/.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 #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 1/2 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))))) | |
| 94.3% | (/.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 (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))))) | |
| 98.2% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay 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))))) | |
| 97.2% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32)))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) | |
| 98.2% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay 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))))) |
| 98.3% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) | |
| 98.0% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))) | |
| 41.5% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (/.f32 u0 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.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)) #s(literal 1/2 binary32) (/.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))))) (-.f32 #s(literal 1 binary32) u0))))) | |
| 26.0% | (/.f32 #s(literal 1 binary32) #s(approx (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0)))) (fma.f32 (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))) #s(literal 1 binary32)))) | |
| ▶ | 98.4% | (sqrt.f32 (/.f32 #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 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
| ▶ | 98.4% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
| 89.4% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (/.f32 (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal 1/8 binary32)) (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 u1 #s(literal 1 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))))) | |
| ▶ | 99.3% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
| 98.2% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 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 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))))) | |
| 98.2% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 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 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))))) (pow.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 2 binary32)))))) | |
| 94.8% | #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)) (-.f32 #s(literal 1 binary32) (*.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))))))) | |
| ✓ | 92.8% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32)) |
| ▶ | 76.9% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))))) |
Compiled 5 102 to 2 359 computations (53.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.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) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))) | |
| cost-diff | 0 | (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) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) | |
| cost-diff | 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) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) | |
| cost-diff | 64 | (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)) | |
| cost-diff | 0 | (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) | |
| cost-diff | 0 | (+.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-diff | 0 | (pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) | |
| cost-diff | 160 | (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) | |
| cost-diff | 0 | (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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)) (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)))) | |
| cost-diff | 0 | (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) | |
| cost-diff | 0 | (/.f32 #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 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))) | |
| cost-diff | 0 | (sqrt.f32 (/.f32 #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 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) | |
| cost-diff | 0 | (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) | |
| cost-diff | 0 | (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))) | |
| cost-diff | 0 | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))))) | |
| cost-diff | 64 | (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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)))))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))) | |
| cost-diff | 0 | (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) | |
| cost-diff | 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) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) | |
| cost-diff | 64 | (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 147 | 2601 |
| 0 | 244 | 2497 |
| 1 | 394 | 2475 |
| 2 | 565 | 2475 |
| 3 | 986 | 2475 |
| 4 | 2730 | 2475 |
| 5 | 5380 | 2475 |
| 0 | 8434 | 2472 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))) |
#s(literal 1 binary32) |
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)) |
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) |
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))) |
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) |
(pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) |
(sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) |
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))))) |
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) |
(*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) |
(/.f32 alphay alphax) |
alphay |
alphax |
(sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) |
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))) |
(PI.f32) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
#s(literal 2 binary32) |
u1 |
#s(literal 1/2 binary32) |
(cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))) |
(*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))) |
(+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)) |
(*.f32 u1 #s(literal 2 binary32)) |
(*.f32 alphay alphay) |
(/.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))))))) |
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) |
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) |
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) |
(*.f32 alphax alphax) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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)))))) |
#s(literal 1 binary32) |
(/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) |
(*.f32 (*.f32 alphay alphay) u0) |
(*.f32 alphay alphay) |
alphay |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
(-.f32 #s(literal 1 binary32) (cos.f32 (*.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)))) |
(cos.f32 (*.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 (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)) |
(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))) |
(sqrt.f32 (/.f32 #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 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
(/.f32 #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 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 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 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) |
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
(+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))) |
(pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.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)))) |
(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 (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)))) |
(pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
(+.f32 (/.f32 (/.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) |
#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))) |
(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 |
(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)))) |
#s(literal -1/2 binary32) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #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) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #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) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #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) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #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) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #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) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #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) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) |
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) |
(cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) |
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) |
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) |
(*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) |
(sin.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))) |
(*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))) |
(+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)) |
(*.f32 u1 #s(literal 2 binary32)) |
(*.f32 alphax alphax) |
| Outputs |
|---|
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (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 (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)))) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.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)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.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)))) #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) (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 (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)))) #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) (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 (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 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) (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 (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)) |
(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) (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) (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) (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 (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 (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)) |
(PI.f32) |
(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 (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 u1 #s(literal 2 binary32)) |
(*.f32 alphay alphay) |
(/.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) (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) (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) (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) (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)))) |
(cos.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 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (fma.f32 (/.f32 (/.f32 alphay (-.f32 u0 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 u0 alphay) #s(literal 1 binary32))) |
(fma.f32 (/.f32 (/.f32 alphay (-.f32 u0 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 u0 alphay) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(/.f32 (*.f32 (/.f32 alphay (-.f32 u0 #s(literal 1 binary32))) (*.f32 u0 alphay)) (-.f32 (cos.f32 (*.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))) #s(literal 1 binary32))) |
(*.f32 (/.f32 alphay (-.f32 #s(literal 1 binary32) u0)) (*.f32 u0 alphay)) |
(*.f32 (*.f32 alphay alphay) u0) |
(*.f32 alphay alphay) |
alphay |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
(-.f32 #s(literal 1 binary32) (cos.f32 (*.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 (*.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 (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)) |
(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) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) |
(/.f32 alphay alphax) |
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))) |
(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 (sin.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)))) |
(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 (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)))) |
(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 (/.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) |
#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))) |
(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)))) |
(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)) |
#s(literal 1/2 binary32) |
(PI.f32) |
(*.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 |
(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)))) |
#s(literal -1/2 binary32) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (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 (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)))) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.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)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.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)))) #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) (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 (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)))) #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) (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 (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 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) (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 (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)) |
(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) (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) (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) (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 (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 (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)) |
(PI.f32) |
(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 (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) (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) (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) (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) (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) (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 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) |
(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)) |
(*.f32 u1 #s(literal 2 binary32)) |
(*.f32 alphax alphax) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.4655075195368841 | (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) | |
| accuracy | 11.589015110759943 | (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) | |
| accuracy | 12.239473810058847 | (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) | |
| accuracy | 27.70241132606048 | (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) | |
| accuracy | 0.553066259768442 | (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)) | |
| accuracy | 11.68807733768657 | (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) | |
| accuracy | 12.239473810058847 | (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)))) | |
| accuracy | 26.31624978493308 | (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) | |
| accuracy | 0.553066259768442 | (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)) | |
| accuracy | 10.060215906202027 | (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) | |
| accuracy | 11.68807733768657 | (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) | |
| accuracy | 12.239473810058847 | (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)))) | |
| accuracy | 0.5477650087359285 | (-.f32 #s(literal 1 binary32) (cos.f32 (*.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)))) | |
| accuracy | 0.9128986142133976 | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))))) | |
| accuracy | 11.589015110759943 | (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) | |
| accuracy | 28.60493568673113 | (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) | |
| accuracy | 11.589015110759943 | (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) | |
| accuracy | 11.589015110759943 | (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))) | |
| accuracy | 12.239473810058847 | (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))))))) | |
| accuracy | 26.12740003938279 | (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
| 564.0ms | 256× | 0 | valid |
Compiled 5 221 to 280 computations (94.6% saved)
ival-sin: 105.0ms (20.2% of total)ival-atan: 96.0ms (18.5% of total)ival-cos: 57.0ms (11% of total)ival-div: 55.0ms (10.6% of total)ival-mult: 43.0ms (8.3% of total)ival-sqrt: 29.0ms (5.6% of total)ival-pow2: 29.0ms (5.6% of total)ival-sinu: 23.0ms (4.4% of total)ival-cosu: 22.0ms (4.2% of total)ival-tan: 18.0ms (3.5% of total)ival-add: 18.0ms (3.5% of total)ival-tanu: 11.0ms (2.1% of total)ival-pow: 7.0ms (1.3% of total)ival-sub: 5.0ms (1% 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)| Inputs |
|---|
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#s(alt #<batchref> (patch (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) #<representation binary32>) () ()) |
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#s(alt #<batchref> (patch (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 alphax) (#s(alt #<batchref> (patch #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt #<batchref> (taylor 0 alphax) (#s(alt #<batchref> (patch #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt #<batchref> (taylor 0 alphax) (#s(alt #<batchref> (patch #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt #<batchref> (taylor 0 alphax) (#s(alt #<batchref> (patch #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt #<batchref> (taylor 0 alphax) (#s(alt #<batchref> (patch (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt #<batchref> (taylor 0 alphax) (#s(alt #<batchref> (patch (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt #<batchref> (taylor 0 alphax) (#s(alt #<batchref> (patch (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt #<batchref> (taylor 0 alphax) (#s(alt #<batchref> (patch (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) #<representation binary32>) () ())) ()) |
#s(alt #<batchref> (taylor 0 alphax) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt #<batchref> (taylor 0 alphax) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt #<batchref> (taylor 0 alphax) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt #<batchref> (taylor 0 alphax) (#s(alt #<batchref> (patch (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))) #<representation binary32>) () ())) ()) |
#s(alt #<batchref> (taylor 0 alphax) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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)))))) #<representation binary32>) () ())) ()) |
#s(alt #<batchref> (taylor 0 alphax) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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)))))) #<representation binary32>) () ())) ()) |
#s(alt #<batchref> (taylor 0 alphax) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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)))))) #<representation binary32>) () ())) ()) |
#s(alt #<batchref> (taylor 0 alphax) (#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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)))))) #<representation binary32>) () ())) ()) |
#s(alt #<batchref> (taylor 0 alphax) (#s(alt #<batchref> (patch #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))))) #<representation binary32>) () ())) ()) |
#s(alt #<batchref> (taylor 0 alphax) (#s(alt #<batchref> (patch #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))))) #<representation binary32>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | u0 | @ | -inf | ((+ (* u1 2) 1/2) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) 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alphax) (sin (* (PI) (+ (* u1 2) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* u1 2) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1605 | 188154 |
| 1 | 6164 | 187615 |
| 0 | 8527 | 174929 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
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(+ 1 (* (pow alphax 2) (+ (* -1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (cos (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 (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))))) (+ (* -1 (/ (pow u0 2) (* (pow (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* (pow u0 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))))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (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 (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))))))))))) |
1 |
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1 |
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(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
1 |
(+ 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))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (pow u0 2) (* (pow (cos (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (* (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))))) (* 1/4 (/ (pow u0 2) (* (pow (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (pow u0 2) (* (pow (cos (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))) (* (pow (cos (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (pow u0 2) (* (pow (cos (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (* (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))))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2))))))) (* (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 u0 2) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (* (pow alphay 2) (* (pow (cos (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 (cos (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (* (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))))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))))))))))) |
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) |
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) |
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) |
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) |
1 |
(+ 1 (* -1/2 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 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)))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))))))) |
1 |
(+ 1 (* -1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphax 2) (- (* -1 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (* (pow alphax 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 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)))))))) 6) (pow (- 1 u0) 2)))))))) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
1 |
(+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) |
(+ 1 (* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) |
(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
1 |
(+ 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))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (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 (cos (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 (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (cos (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 (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))))) (+ (* -1 (/ (pow u0 2) (* (pow (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* (pow u0 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))))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (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 (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))))))))))) |
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 alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))) |
(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
1 |
(+ 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))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (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 (cos (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 (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (cos (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 (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))))) (+ (* -1 (/ (pow u0 2) (* (pow (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* (pow u0 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))))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (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 (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))))))))))) |
1 |
(+ 1 (* -1/2 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 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)))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))))))) |
1 |
(+ 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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(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (pow alphay 4) (* u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 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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)))) (sqrt (/ 1 (pow (+ 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)))) 3)))))))) |
(/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ (/ 1 (+ 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 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 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)))) 2) (- 1 u0)))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 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)))) 2) (- 1 u0))))) (pow alphax 4))) (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (* -1 (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 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)))) 2) (- 1 u0))))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 2) (- 1 u0))))) (+ (/ (* (pow alphay 4) (* u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 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)))) 2) (- 1 u0)))))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (- 1 u0)))) (/ (* (pow alphay 10) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 10) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2)))))) (pow alphax 6))) (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 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)))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (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)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2)))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 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)))) 2) (- 1 u0)))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
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(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) |
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) |
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) |
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) |
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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)))) (sqrt (/ 1 (pow (+ 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)))) 3)))))))) |
(/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ (/ 1 (+ 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 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 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)))) 2) (- 1 u0)))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 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)))) 2) (- 1 u0))))) (pow alphax 4))) (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (* -1 (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 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)))) 2) (- 1 u0))))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 2) (- 1 u0))))) (+ (/ (* (pow alphay 4) (* u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 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)))) 2) (- 1 u0)))))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (- 1 u0)))) (/ (* (pow alphay 10) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 10) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2)))))) (pow alphax 6))) (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 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)))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (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)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2)))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 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)))) 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)))) |
(+ 1 (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(- (+ 1 (+ (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))))) (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) |
(- (+ 1 (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) |
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) |
(+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ (* (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) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) |
(- (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) |
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(PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 3) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 4))))) (* 8 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3))))))) (pow alphax 4)) (sqrt (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))))))) (* 2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))) (sqrt (/ 1 (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 3)))))))) |
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) |
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) |
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) |
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) |
(sqrt (/ 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)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (* 1/2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 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)))) 3)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 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)))) 2) (- 1 u0)))))) (pow alphax 4)) (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) (* 1/2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 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)))) 3))))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (pow alphay 4) (* u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 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)))) 2) (- 1 u0))))))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (- 1 u0))))) (+ (/ (* (pow alphay 4) (* u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 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)))) 2) (- 1 u0)))))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (- 1 u0)))) (/ (* (pow alphay 10) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 10) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))))) (pow alphax 6)) (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 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)))) 2) (- 1 u0)))))) (pow alphax 4)) (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) (* 1/2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 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)))) 3)))))))) |
(/ 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 (/ (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 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)))) 2) (- 1 u0))))) (pow alphax 4))) (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (* -1 (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 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)))) 2) (- 1 u0))))))) |
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(/ (* (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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(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (pow alphay 4) (* u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 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(/ 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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(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
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(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
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(/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)) |
(/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)) |
(/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
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(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
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1/2 |
(+ 1/2 (* 2 u1)) |
(+ 1/2 (* 2 u1)) |
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1/2 |
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1/2 |
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(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(* 2 u1) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
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(sqrt (/ 1 (+ 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))))))))) 2) (pow alphay 2))) (- 1 u0)))))) |
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(/ 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))))) |
(/ 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))))) |
(/ 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))))) |
(/ 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))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
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(sqrt (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) (- 1 u0)))))) |
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) |
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) |
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) |
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) |
(sqrt (/ 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)))))) |
(sqrt (/ 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)))))) |
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(/ 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))))) |
(/ 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))))) |
(/ 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))))) |
(/ 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))))) |
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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))) (- 1 u0)))) |
(+ 1 (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) (- 1 u0)))) |
(+ 1 (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))) (- 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)))))))) 2) (pow alphay 2))) (- 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)))))))) 2) (pow alphay 2))) (- 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)))))))) 2) (pow alphay 2))) (- 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)))))))) 2) (pow alphay 2))) (- 1 u0))) |
(* 2 (* u1 (PI))) |
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI)))) |
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI)))) |
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI)))) |
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(sqrt (/ 1 (+ 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))))))))) 2) (pow alphay 2))) (- 1 u0)))))) |
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(+ 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))))))))) 2) (pow alphay 2))) (- 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))))))))) 2) (pow alphay 2))) (- 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))))))))) 2) (pow alphay 2))) (- 1 u0))) |
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(/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2) (pow alphay 2))) (- 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)))))))) 2) (pow alphay 2))) (- 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)))))))) 2) (pow alphay 2))) (- 1 u0))) |
(* 2 (* u1 (PI))) |
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1))))) |
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1))))) |
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1))))) |
(sqrt (/ 1 (+ 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))))))))) 2) (pow alphay 2))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 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))))))))) 2) (pow alphay 2))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 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))))))))) 2) (pow alphay 2))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 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))))))))) 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))))))))) 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))))))))) 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))))))))) 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))))))))) 2) (pow alphay 2))) (- 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))))))))) 2) (pow alphay 2))) (- 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))))))))) 2) (pow alphay 2))) (- 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))))))))) 2) (pow alphay 2))) (- 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))))))))) 2) (pow alphay 2))) (- 1 u0))) |
(sqrt (/ 1 (+ 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))))))))) 2) (pow alphay 2))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 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))))))))) 2) (pow alphay 2))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 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))))))))) 2) (pow alphay 2))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 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))))))))) 2) (pow alphay 2))) (- 1 u0)))))) |
(sqrt (/ 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)))))) |
(sqrt (/ 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)))))) |
(sqrt (/ 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)))))) |
(sqrt (/ 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)))))) |
(/ 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))))) |
(/ 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))))) |
(/ 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))))) |
(/ 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))))) |
(* 2 u1) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
(cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(* 2 u1) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) |
(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1))))) |
(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1))))) |
(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1))))) |
(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1))))) |
(/ (pow (sin (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2) (pow alphay 2)) |
(/ (pow (sin (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2) (pow alphay 2)) |
(/ (pow (sin (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2) (pow alphay 2)) |
(/ (pow (sin (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2) (pow alphay 2)) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 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 (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)) |
(/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)) |
(cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2) |
1 |
(+ 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))))) |
(+ 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))))))) |
(+ 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)))))))))))) |
1 |
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))))))) |
1 |
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2)))))))) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
1 |
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
1 |
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) |
(+ 1 (* (pow alphay 2) (+ (* -1 (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))) (* -1/2 (* (pow alphay 2) (+ (* -4 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))) (+ (* -4 (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))) (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))))))))) |
(+ 1 (* (pow alphay 2) (+ (* -1 (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -2 (/ (* u0 (+ (* -4 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))) (* -4 (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))))) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))) (+ (* 8 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3))))) (+ (* 8 (/ (* (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 (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3))))) (/ (* u0 (+ (* -4 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))) (+ (* -4 (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))) (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))))) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))))))) (* -1/2 (+ (* -4 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))) (+ (* -4 (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))) (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))))))))) |
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) |
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) |
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) |
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) |
(/ (* (pow alphay 2) u0) (- 1 u0)) |
(/ (* (pow alphay 2) u0) (- 1 u0)) |
(/ (* (pow alphay 2) u0) (- 1 u0)) |
(/ (* (pow alphay 2) u0) (- 1 u0)) |
1 |
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))))))) |
1 |
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2)))))))) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
1 |
(+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) |
(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) |
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
1 |
(+ 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))))) |
(+ 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))))))) |
(+ 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)))))))))))) |
1 |
(+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) |
(+ 1 (* (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) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))) |
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
1 |
(+ 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))))) |
(+ 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))))))) |
(+ 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)))))))))))) |
1 |
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))))))) |
1 |
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2)))))))) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)) |
(/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)) |
(/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)) |
(/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 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 (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)) |
(/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (* 1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3)))))) |
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alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3)))))))) |
(/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (pow alphay 4))) (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (- 1 u0)))) (/ (* (pow alphax 10) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 10) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2)))))) (pow alphay 6))) (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2)))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))))) |
(* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (* 1/4 (* (/ (* (pow alphax 4) (* u0 (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) (* (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 (* (/ (+ (* -1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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))))) (+ (* 1/16 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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 6) (* u0 (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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))))))) (* 1/4 (* (/ (* (pow alphax 4) (* u0 (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) (* (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 (* (/ (+ (* -1/4 (/ (* (pow alphax 4) (* u0 (* (+ (* -1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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))))) (+ (* 1/16 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (pow (cos (atan (/ (* alphay (sin 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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)))))))) |
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) |
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) |
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) |
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) |
(/ (* (pow alphay 2) u0) (- 1 u0)) |
(/ (* (pow alphay 2) u0) (- 1 u0)) |
(/ (* (pow alphay 2) u0) (- 1 u0)) |
(/ (* (pow alphay 2) u0) (- 1 u0)) |
(sqrt (/ 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)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (* 1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (pow alphay 4)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) (* 1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3))))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 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(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (- 1 u0))))) (+ (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (- 1 u0)))) (/ (* (pow alphax 10) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 10) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))))) (pow alphay 6)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 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alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3)))))))) |
(/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
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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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(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 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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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(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (pow alphay 4))) (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (- 1 u0)))) (/ (* (pow alphax 10) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 10) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2)))))) (pow alphay 6))) (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2)))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))))) |
(* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (* 1/4 (* (/ (* (pow alphax 4) (* u0 (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) (* (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 (* (/ (+ (* -1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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))))) (+ (* 1/16 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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 6) (* u0 (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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))))))) (* 1/4 (* (/ (* (pow alphax 4) (* u0 (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) (* (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 (* (/ (+ (* -1/4 (/ (* (pow alphax 4) (* u0 (* (+ (* -1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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))))) (+ (* 1/16 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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 6) (* u0 (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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))))))) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))) (* (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))))) (+ (* -1/8 (/ (* (pow alphax 8) (* u0 (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3))) (* (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))))) (+ (* 1/8 (/ (* (pow alphax 10) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3))) (* (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))))) (* 1/2 (/ (* (pow alphax 4) (* u0 (* (+ (* -1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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 6) (* u0 (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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)))))) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))) (* (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 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 (* (/ (+ (* -1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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))))) (+ (* 1/16 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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 6) (* u0 (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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))))))) (* 1/4 (* (/ (* (pow alphax 4) (* u0 (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) (* (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)))))))) |
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) |
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) |
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) |
(/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) |
(/ (* (pow alphay 2) u0) (- 1 u0)) |
(/ (* (pow alphay 2) u0) (- 1 u0)) |
(/ (* (pow alphay 2) u0) (- 1 u0)) |
(/ (* (pow alphay 2) u0) (- 1 u0)) |
(sqrt (/ 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)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (* 1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (pow alphay 4)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) (* 1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3))))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 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u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (- 1 u0)))) (/ (* (pow alphax 10) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 10) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))))) (pow alphay 6)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 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alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3)))))))) |
(/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (pow alphay 4))) (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (- 1 u0)))) (/ (* (pow alphax 10) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 10) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2)))))) (pow alphay 6))) (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2)))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))))) |
(+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) |
(+ 1 (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(- (+ 1 (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) |
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(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) |
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u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (- 1 u0)))) (/ (* (pow alphax 10) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 10) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))))) (pow alphay 6)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 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alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3)))))))) |
(/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (pow alphay 4))) (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (- 1 u0)))) (/ (* (pow alphax 10) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 10) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2)))))) (pow alphay 6))) (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2)))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)) |
(/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)) |
(/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)) |
(/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 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 (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)) |
(/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 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)))))))) |
1 |
(+ 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 (* -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))))))) |
1 |
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(+ 1 (* u0 (- (* -1 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(+ 1 (* u0 (- (* u0 (+ (* -1 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
1 |
(+ 1 (* -1/2 (/ u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))))) |
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) 2))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))))))) (* 1/2 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))))))) |
(+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) 2))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))))) (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))))) (+ (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))) (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) 2))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))))))) (* 1/2 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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 alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) |
(* u0 (+ (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(* u0 (+ (* u0 (- (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(* u0 (+ (* u0 (- (* u0 (- (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(* (pow alphay 2) u0) |
(* u0 (+ (* (pow alphay 2) u0) (pow alphay 2))) |
(* u0 (+ (* u0 (- (* (pow alphay 2) u0) (* -1 (pow alphay 2)))) (pow alphay 2))) |
(* u0 (+ (* u0 (- (* u0 (- (* (pow alphay 2) u0) (* -1 (pow alphay 2)))) (* -1 (pow alphay 2)))) (pow alphay 2))) |
1 |
(+ 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 (* -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))))))) |
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 (+ (/ 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 (* 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))))))) |
(/ 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)))) |
(* 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)))))) |
(* 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)))))) |
(* u0 (+ (* 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)))))) (/ 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 (* -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 (/ 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 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))) |
(+ 1 (* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))) |
(/ 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)))) |
(* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) |
(* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) |
(* u0 (+ (* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) |
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 (* -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 (* -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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(+ (sqrt (/ 1 (- 1 (/ 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 (* 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))))) (sqrt (/ 1 (pow (- 1 (/ 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))))) 3)))))) |
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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) (pow (- 1 (/ 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))))) 3))))) (sqrt (- 1 (/ 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 (* (/ (+ (* -1/2 (/ (+ (/ 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 (- 1 (/ 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))))) 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) (pow (- 1 (/ 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))))) 3))))) (* (+ (/ (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 (+ (/ (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 (+ (/ (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) (pow (- 1 (/ 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))))) 3)))) (+ (/ 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 (- 1 (/ 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))))) 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) (pow (- 1 (/ 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))))) 4)))))) u0) (sqrt (- 1 (/ 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)) (* -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)))) (sqrt (/ 1 (pow (- 1 (/ 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))))) 3)))))) u0))) |
(/ 1 (- 1 (/ 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))) (pow (- 1 (/ 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))))) 2)))) (/ 1 (- 1 (/ 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 (/ (+ (/ 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 (- 1 (/ 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))))) 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) (pow (- 1 (/ 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))))) 3)))) 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))) (pow (- 1 (/ 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))))) 2)))) u0)) (/ 1 (- 1 (/ 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 (/ (+ (/ 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))) (pow (- 1 (/ 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))))) 2)))) (+ (/ 1 (* u0 (* (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) (pow (- 1 (/ 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))))) 4)))) (+ (/ 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 (- 1 (/ 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))))) 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) (pow (- 1 (/ 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))))) 3))) (/ 2 (* u0 (* (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) (pow (- 1 (/ 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))))) 3)))))))) 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))) (pow (- 1 (/ 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))))) 2)))) u0)) (/ 1 (- 1 (/ 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))))))) |
| Outputs |
|---|
#s(literal 1 binary32) |
(fma.f32 (*.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 -1/2 binary32) #s(literal 1 binary32)) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 (*.f32 u0 u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (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 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphax alphax) (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphax alphax) #s(literal 1 binary32)) |
(fma.f32 (fma.f32 (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1/2 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (-.f32 (fma.f32 (*.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 (/.f32 (/.f32 (*.f32 u0 u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) 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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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(fma.f32 (-.f32 (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphax alphax) #s(literal 1 binary32)) |
(fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 alphay #s(literal 4 binary32)) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (*.f32 alphay alphay)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphax alphax) (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphax alphax) #s(literal 1 binary32)) |
(*.f32 (/.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) |
(*.f32 (-.f32 (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphax alphax)) |
(*.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 alphay #s(literal 4 binary32)) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (*.f32 alphay alphay)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphax alphax) (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphax alphax)) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 (neg.f32 (/.f32 (*.f32 alphax alphax) (pow.f32 alphay #s(literal 6 binary32)))) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (pow.f32 alphay #s(literal 4 binary32))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphax alphax) (*.f32 (neg.f32 (/.f32 u0 (*.f32 alphay alphay))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphax alphax) (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphax alphax)) |
#s(literal 1 binary32) |
(fma.f32 (*.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 -1/2 binary32) #s(literal 1 binary32)) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 (*.f32 u0 u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (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 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphax alphax) (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphax alphax) #s(literal 1 binary32)) |
(fma.f32 (fma.f32 (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) #s(literal -1/2 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (-.f32 (fma.f32 (*.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 (/.f32 (/.f32 (*.f32 u0 u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (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 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) (fma.f32 (/.f32 u0 (pow.f32 alphay #s(literal 4 binary32))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 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binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))) (/.f32 (/.f32 (*.f32 u0 u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (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 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) #s(literal -3/4 binary32)) (*.f32 (/.f32 u0 (*.f32 alphay alphay)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))))) (*.f32 alphax alphax))) (*.f32 alphax alphax) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
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#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))) (neg.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) |
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(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))))))) |
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(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))))))) |
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(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) |
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(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) |
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) |
(cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
(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)))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -2 binary32) u1) (*.f32 (*.f32 (PI.f32) (PI.f32)) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) #s(literal -2 binary32))) u1 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
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(cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
(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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#s(literal 1/2 binary32) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
(cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
(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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(-.f32 #s(literal 1 binary32) (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)))) |
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(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) |
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) |
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) |
(/.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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(/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) |
(/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) |
(/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) |
(/.f32 (pow.f32 (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)) |
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) |
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) |
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) |
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) |
(/.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
(fma.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) #s(literal 2 binary32))) u1 (/.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) |
(fma.f32 (fma.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (*.f32 u1 (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))))) (*.f32 (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) #s(literal 2 binary32))) u1 (/.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) |
(fma.f32 (fma.f32 (PI.f32) #s(literal 2 binary32) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -4/3 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) #s(literal 2 binary32)))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) #s(literal -4 binary32) (fma.f32 (*.f32 #s(literal -2 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) #s(literal 2 binary32))) (*.f32 (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 3 binary32))) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) #s(literal 4/3 binary32))))) u1 (*.f32 (/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (PI.f32)) (fma.f32 (PI.f32) #s(literal 2 binary32) (*.f32 (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) #s(literal 2 binary32))) u1 (*.f32 (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) #s(literal 2 binary32))) #s(literal 2 binary32)))) u1 (/.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) |
(/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) |
(/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) |
(/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) |
(/.f32 (pow.f32 (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)) |
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(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)) |
#s(literal 1 binary32) |
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(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (-.f32 (fma.f32 (*.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 (/.f32 (/.f32 (*.f32 u0 u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) #s(literal -3/4 binary32)) (*.f32 (/.f32 u0 (*.f32 alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 u0 u0) (*.f32 alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32)))) (*.f32 (/.f32 u0 (pow.f32 alphax #s(literal 4 binary32))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) u0)))))) (*.f32 (/.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) 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#s(literal 1 binary32) |
(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)) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 (*.f32 u0 u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) #s(literal -3/4 binary32)) (*.f32 (/.f32 u0 (*.f32 alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphay alphay) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphay alphay) #s(literal 1 binary32)) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (-.f32 (fma.f32 (*.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 (/.f32 (/.f32 (*.f32 u0 u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) #s(literal -3/4 binary32)) (*.f32 (/.f32 u0 (*.f32 alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) (fma.f32 (/.f32 (*.f32 u0 u0) (*.f32 alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32)))) (*.f32 (/.f32 u0 (pow.f32 alphax #s(literal 4 binary32))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) u0)))))) (*.f32 (/.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) 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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) |
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (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)))))) |
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#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (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)))))) |
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(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (fma.f32 (*.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 #s(literal -4 binary32) (fma.f32 (/.f32 u0 (*.f32 alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (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 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) (/.f32 (/.f32 (*.f32 u0 u0) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 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(*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 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 3 binary32)) (-.f32 #s(literal 1 binary32) u0))) #s(literal 8 binary32) (fma.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 (fma.f32 #s(literal -3 binary32) (/.f32 (/.f32 (*.f32 u0 u0) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) (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 2 binary32))) (/.f32 (*.f32 #s(literal -4 binary32) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) u0)) (*.f32 (*.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 (-.f32 #s(literal 1 binary32) (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 2 binary32))))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))))) (/.f32 (*.f32 #s(literal 8 binary32) (*.f32 (*.f32 u0 u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 alphax alphax) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) (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 3 binary32))))))) (*.f32 alphay alphay) (fma.f32 #s(literal -3 binary32) (/.f32 (/.f32 (*.f32 u0 u0) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) (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 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(/.f32 (*.f32 (*.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))))) |
(/.f32 (*.f32 (*.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))))) |
(/.f32 (*.f32 (*.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))))) |
(/.f32 (*.f32 (*.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))))) |
(*.f32 (*.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) |
(*.f32 (*.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) |
(*.f32 (*.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) |
(*.f32 (*.f32 alphay alphay) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) |
#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) |
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) |
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(-.f32 #s(literal 1 binary32) (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)))) |
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(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) |
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) |
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) |
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#s(literal 1 binary32) |
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binary32)) |
#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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(*.f32 (*.f32 alphay alphay) u0) |
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#s(literal 1 binary32) |
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binary32)) |
#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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(+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u0) (*.f32 (pow.f32 (-.f32 #s(literal 1 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)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #s(literal 2 binary32)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 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))))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 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)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay))))))) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 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)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))))) (/.f32 (-.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 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))) (pow.f32 (-.f32 #s(literal 1 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)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #s(literal 3 binary32))) (/.f32 (/.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)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))) (pow.f32 (-.f32 #s(literal 1 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)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #s(literal 2 binary32)))) u0) (/.f32 (/.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)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))) (pow.f32 (-.f32 #s(literal 1 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)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #s(literal 2 binary32)))) u0)) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 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)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))))) (/.f32 (-.f32 (/.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u0) (*.f32 (pow.f32 (-.f32 #s(literal 1 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 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#s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 u0 (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 3 binary32))) (pow.f32 (-.f32 #s(literal 1 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)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #s(literal 4 binary32))))) (+.f32 (+.f32 (/.f32 #s(literal 2 binary32) (*.f32 (*.f32 u0 (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)) 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(/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))) (pow.f32 (-.f32 #s(literal 1 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)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay))))) #s(literal 2 binary32)))) u0)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 147 | 1276 |
| 0 | 244 | 1047 |
| 1 | 1019 | 982 |
| 0 | 8032 | 981 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))) |
(-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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)))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
(/.f32 #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 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))) |
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (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)))) |
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
(+.f32 (/.f32 (/.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)))) |
#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) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #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) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #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) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
(cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) |
(cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))) |
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) |
(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))) |
(-.f32 #s(literal 1 binary32) (cos.f32 (*.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)))) |
(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))) |
(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)) |
(cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) |
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) |
(pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) |
(cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) |
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) |
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Compiled 392 706 to 8 364 computations (97.9% saved)
32 alts after pruning (30 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 282 | 19 | 2 301 |
| Fresh | 7 | 11 | 18 |
| Picked | 5 | 0 | 5 |
| Done | 2 | 2 | 4 |
| Total | 2 296 | 32 | 2 328 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.9% | (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 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
| 89.2% | (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 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 (*.f32 (PI.f32) u1) #s(literal 2 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) | |
| 94.4% | (pow.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 -1/2 binary32)) | |
| 88.6% | (/.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)))) | |
| 51.3% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 (*.f32 u1 (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))))) | |
| 94.2% | (/.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 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))) (/.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))))) | |
| 92.8% | (/.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 #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 1/2 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))))) | |
| 94.3% | (/.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 (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))))) | |
| 98.2% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay 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))))) | |
| 97.2% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32)))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) | |
| 98.2% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (fma.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay 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))))) |
| 98.0% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))) | |
| 26.1% | (/.f32 #s(literal 1 binary32) #s(approx (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0)))) (fma.f32 (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))) #s(literal 1 binary32)))) | |
| 98.6% | (sqrt.f32 (/.f32 #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 (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 (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) | |
| 98.1% | (sqrt.f32 (/.f32 #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 (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 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) | |
| ▶ | 94.1% | (sqrt.f32 (/.f32 #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 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
| 98.1% | (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) | |
| 98.2% | (sqrt.f32 (*.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 #s(literal 2 binary32) u1 #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 #s(literal 2 binary32) u1 #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 #s(literal 2 binary32) u1 #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 #s(literal 2 binary32) u1 #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 #s(literal 2 binary32) u1 #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 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) #s(literal 2 binary32))))) | |
| 89.3% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (/.f32 (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal 1/8 binary32)) (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 u1 #s(literal 1 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))))) | |
| 99.3% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) | |
| ▶ | 99.2% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
| ✓ | 92.8% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32)) |
| 81.5% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (fma.f32 #s(literal -1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))))) | |
| 60.9% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 (/.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1/8 binary32)) (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1 binary32))))) (PI.f32)))))) #s(literal 2 binary32))))))) | |
| 84.7% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))))))) | |
| 70.4% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 #s(approx (+ (* u1 2) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32)))))) #s(literal 2 binary32))))))) | |
| 96.1% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))))))) | |
| 32.9% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 3 binary32)))) (+.f32 (fma.f32 u0 u0 u0) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))))) | |
| ▶ | 76.9% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) |
| 78.2% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* (* alphay alphay) u0) (- 1 u0)) (*.f32 (*.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))))) | |
| ▶ | 76.3% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 alphay alphay)))) |
Compiled 5 656 to 3 010 computations (46.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.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 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) | |
| cost-diff | 0 | (+.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 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) | |
| cost-diff | 0 | (pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) | |
| cost-diff | 160 | (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) | |
| cost-diff | 0 | (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) | |
| cost-diff | 0 | (/.f32 #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 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))) | |
| cost-diff | 0 | (sqrt.f32 (/.f32 #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 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) | |
| cost-diff | 64 | (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) | |
| cost-diff | 0 | (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (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)))))) | |
| cost-diff | 0 | #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 alphay alphay))) | |
| cost-diff | 0 | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 alphay alphay)))) | |
| cost-diff | 576 | (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 alphay alphay)) | |
| cost-diff | 0 | (*.f32 alphay alphay) | |
| cost-diff | 0 | (*.f32 (*.f32 alphay alphay) u0) | |
| cost-diff | 0 | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) | |
| cost-diff | 64 | (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))) | |
| cost-diff | 0 | (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) | |
| cost-diff | 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) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) | |
| cost-diff | 64 | (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) | |
| cost-diff | 64 | (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 176 | 2430 |
| 0 | 290 | 2380 |
| 1 | 469 | 2354 |
| 2 | 745 | 2342 |
| 3 | 1488 | 2342 |
| 4 | 4603 | 2342 |
| 0 | 8169 | 2333 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))) |
#s(literal 1 binary32) |
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)) |
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) |
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))) |
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) |
(pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) |
(sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) |
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))))) |
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) |
(*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) |
(/.f32 alphay alphax) |
alphay |
alphax |
(sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) |
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))) |
(PI.f32) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
#s(literal 2 binary32) |
u1 |
#s(literal 1/2 binary32) |
(cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))) |
(*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))) |
(+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)) |
(*.f32 u1 #s(literal 2 binary32)) |
(*.f32 alphay alphay) |
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #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) (+.f32 (*.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) (+.f32 (*.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) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))))) |
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(*.f32 #s(literal 2 binary32) u1) |
(*.f32 alphax alphax) |
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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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(atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) |
(*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) |
(tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) |
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
#s(literal 2 binary32) |
u1 |
#s(literal 1/2 binary32) |
(PI.f32) |
(/.f32 alphay alphax) |
alphax |
(-.f32 #s(literal 1 binary32) u0) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 alphay alphay)))) |
#s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 alphay alphay))) |
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(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) |
(/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) |
#s(literal 1 binary32) |
(*.f32 alphay alphay) |
alphay |
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(/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
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(cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) |
(*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 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)) |
(atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #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))) |
(sqrt.f32 (/.f32 #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 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
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#s(literal 1 binary32) |
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(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (+.f32 (*.f32 #s(literal 2 binary32) u1) #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 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 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))) |
(pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) |
(/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) |
(sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) |
(atan.f32 (*.f32 (tan.f32 (*.f32 (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) |
(*.f32 (tan.f32 (*.f32 (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) |
(tan.f32 (*.f32 (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) |
(*.f32 (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32)) |
(+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 2 binary32) u1) |
#s(literal 2 binary32) |
u1 |
#s(literal 1/2 binary32) |
(PI.f32) |
(/.f32 alphay alphax) |
alphay |
alphax |
(pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)) |
(/.f32 (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)) |
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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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(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 |
(pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)) |
(/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (/.f32 alphay alphax)))) alphax) |
(cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (/.f32 alphay alphax)))) |
(atan.f32 (*.f32 (tan.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (/.f32 alphay alphax))) |
(*.f32 (tan.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (/.f32 alphay alphax)) |
(tan.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) |
(/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32))) |
(*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) |
(fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) |
(*.f32 u1 u1) |
#s(literal 4 binary32) |
#s(literal -1/4 binary32) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 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 (/.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 (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 (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 (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 (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 (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) (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) (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) (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) (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) (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 (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 (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)) |
(PI.f32) |
(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 (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 u1 #s(literal 2 binary32)) |
(*.f32 alphay alphay) |
(/.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) (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) (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) (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) (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)))) |
(cos.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 u1 #s(literal 2 binary32)) |
(*.f32 alphax alphax) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (fma.f32 (/.f32 (/.f32 alphay (-.f32 u0 #s(literal 1 binary32))) (-.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 u0 alphay) #s(literal 1 binary32))) |
(fma.f32 (/.f32 (/.f32 alphay (-.f32 u0 #s(literal 1 binary32))) (-.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 u0 alphay) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(/.f32 (*.f32 (/.f32 alphay (-.f32 #s(literal 1 binary32) u0)) (*.f32 u0 alphay)) (-.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) u0) |
(*.f32 alphay alphay) |
alphay |
u0 |
(*.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 #s(literal 1 binary32) u0)) |
(-.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)))) |
(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)) |
#s(literal 2 binary32) |
u1 |
#s(literal 1/2 binary32) |
(PI.f32) |
(/.f32 alphay alphax) |
alphax |
(-.f32 #s(literal 1 binary32) u0) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (fma.f32 (/.f32 (/.f32 alphay (-.f32 u0 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 u0 alphay) #s(literal 1 binary32)))) |
#s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (fma.f32 (/.f32 (/.f32 alphay (-.f32 u0 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 u0 alphay) #s(literal 1 binary32))) |
(fma.f32 (/.f32 (/.f32 alphay (-.f32 u0 #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 u0 alphay) #s(literal 1 binary32)) |
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 #s(literal 1 binary32) (*.f32 alphay alphay)) |
#s(literal 1 binary32) |
(*.f32 alphay alphay) |
alphay |
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 u0 (-.f32 #s(literal 1 binary32) u0)) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
(-.f32 #s(literal 1 binary32) (cos.f32 (*.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 (*.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 (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)) |
(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) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) |
(/.f32 alphay alphax) |
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)) |
#s(literal 2 binary32) |
u1 |
#s(literal 1/2 binary32) |
(PI.f32) |
(cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) |
(sqrt.f32 (/.f32 #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 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
(/.f32 #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 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 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 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) |
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
(+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))) |
(pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.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)))) |
(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 u1 #s(literal 2 binary32)) |
#s(literal 2 binary32) |
u1 |
#s(literal 1/2 binary32) |
(PI.f32) |
(/.f32 alphay alphax) |
alphay |
alphax |
(pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)) |
(/.f32 (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)) |
(pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (/.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32))) (fma.f32 #s(literal 4 binary32) (*.f32 u1 u1) #s(literal -1/4 binary32)))) (/.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 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (/.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32))) (fma.f32 #s(literal 4 binary32) (*.f32 u1 u1) #s(literal -1/4 binary32)))) (/.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 (/.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32))) (fma.f32 #s(literal 4 binary32) (*.f32 u1 u1) #s(literal -1/4 binary32)))) (/.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) |
#s(literal 1 binary32) |
(+.f32 (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (/.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32))) (fma.f32 #s(literal 4 binary32) (*.f32 u1 u1) #s(literal -1/4 binary32)))) (/.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 (sin.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)))) |
(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)) |
#s(literal 1/2 binary32) |
(PI.f32) |
(*.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 |
(pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (/.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32))) (fma.f32 #s(literal 4 binary32) (*.f32 u1 u1) #s(literal -1/4 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)) |
(/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (/.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32))) (fma.f32 #s(literal 4 binary32) (*.f32 u1 u1) #s(literal -1/4 binary32)))) (/.f32 alphay alphax)))) alphax) |
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (/.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32))) (fma.f32 #s(literal 4 binary32) (*.f32 u1 u1) #s(literal -1/4 binary32)))) (/.f32 alphay alphax)))) |
(atan.f32 (*.f32 (tan.f32 (*.f32 (/.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32))) (fma.f32 #s(literal 4 binary32) (*.f32 u1 u1) #s(literal -1/4 binary32)))) (/.f32 alphay alphax))) |
(*.f32 (tan.f32 (*.f32 (/.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32))) (fma.f32 #s(literal 4 binary32) (*.f32 u1 u1) #s(literal -1/4 binary32)))) (/.f32 alphay alphax)) |
(tan.f32 (*.f32 (/.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32))) (fma.f32 #s(literal 4 binary32) (*.f32 u1 u1) #s(literal -1/4 binary32)))) |
(*.f32 (/.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32))) (fma.f32 #s(literal 4 binary32) (*.f32 u1 u1) #s(literal -1/4 binary32))) |
(*.f32 (fma.f32 #s(literal 4 binary32) (*.f32 u1 u1) #s(literal -1/4 binary32)) (PI.f32)) |
(fma.f32 #s(literal 4 binary32) (*.f32 u1 u1) #s(literal -1/4 binary32)) |
(*.f32 u1 u1) |
#s(literal 4 binary32) |
#s(literal -1/4 binary32) |
(fma.f32 u1 #s(literal 2 binary32) #s(literal -1/2 binary32)) |
#s(literal -1/2 binary32) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 11.68807733768657 | (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) | |
| accuracy | 11.68807733768657 | (tan.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) | |
| accuracy | 12.239473810058847 | (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (/.f32 alphay alphax)))) | |
| accuracy | 26.31624978493308 | (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) | |
| accuracy | 10.060215906202027 | (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) | |
| accuracy | 11.68807733768657 | (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) | |
| accuracy | 11.68807733768657 | (tan.f32 (*.f32 (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) | |
| accuracy | 12.239473810058847 | (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)))) | |
| accuracy | 0.5477650087359285 | (-.f32 #s(literal 1 binary32) (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)))) | |
| accuracy | 0.9128986142133976 | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 alphay alphay)))) | |
| accuracy | 11.589015110759943 | (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) | |
| accuracy | 29.157446388468713 | (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) | |
| accuracy | 0.5477650087359285 | (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) | |
| accuracy | 0.9128986142133976 | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) | |
| accuracy | 10.060215906202027 | (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) | |
| accuracy | 11.68807733768657 | (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) | |
| accuracy | 11.589015110759943 | (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))) | |
| accuracy | 11.589015110759943 | (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) | |
| accuracy | 12.239473810058847 | (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32))))))) | |
| accuracy | 26.238085654374434 | (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
| 740.0ms | 256× | 0 | valid |
Compiled 4 843 to 329 computations (93.2% saved)
ival-mult: 112.0ms (17.7% of total)ival-div: 83.0ms (13.1% of total)ival-tanu: 70.0ms (11% of total)ival-cos: 65.0ms (10.2% of total)ival-atan: 52.0ms (8.2% of total)ival-add: 47.0ms (7.4% of total)ival-sin: 40.0ms (6.3% of total)ival-sqrt: 33.0ms (5.2% of total)ival-sinu: 32.0ms (5% of total)ival-sub: 30.0ms (4.7% of total)ival-tan: 25.0ms (3.9% of total)ival-cosu: 19.0ms (3% of total)ival-pow2: 17.0ms (2.7% of total)ival-pow: 7.0ms (1.1% 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)| Inputs |
|---|
#s(alt #<batchref> (patch (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (*.f32 (*.f32 alphay alphay) u0) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (*.f32 alphay alphay) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 alphay alphay)) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 alphay alphay)))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 alphay alphay))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (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)))))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (sqrt.f32 (/.f32 #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 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (/.f32 #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 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (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 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (+.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 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (/.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 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32))))))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (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)))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (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)))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (tan.f32 (*.f32 (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (/.f32 alphay alphax)))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (tan.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) #<representation binary32>) () ()) |
#s(alt #<batchref> (patch (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) #<representation binary32>) () ()) |
| Outputs |
|---|
#s(alt #<batchref> (taylor 0 alphax) (#s(alt #<batchref> (patch #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
#s(alt #<batchref> (taylor 0 alphax) (#s(alt #<batchref> (patch #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) #<representation binary32>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 91.0ms | alphax | @ | inf | ((+ (* u1 2) 1/2) (+ (* 2 u1) 1/2) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1))) (- 1 (/ (* (* alphay alphay) u0) (* (- 1 (cos (* (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax))) 2))) (- 1 u0)))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (* (* alphay alphay) u0) (* alphay alphay) (* (- (/ 1 (* alphay alphay)) (/ (/ u0 (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI)))))) 2))))) (* alphay alphay)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (- (/ 1 (* alphay alphay)) (/ (/ u0 (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI)))))) 2))))) (sqrt (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphax) 2))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphax) 2))) 1)) (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphax) 2))) 1) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (pow (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (/ alphay alphax)))) alphax) 2))) 1) -1/2) (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (/ 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 (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (/ alphay alphax)))) alphax) 2))) (+ (* 2 u1) 1/2) (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) (cos (* (PI) (+ (* 2 u1) 1/2))) (cos (* (PI) (+ (* u1 2) 1/2))) (tan (* (+ (* 2 u1) 1/2) (PI))) (- 1 (cos (* (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax))) 2))) (cos (* (+ (* 2 u1) 1/2) (PI))) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI)))))) 2))) (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) (tan (* (+ (* 2 u1) 1/2) (PI))) (tan (* (+ (* u1 2) 1/2) (PI))) (+ (* u1 2) 1/2) (cos (atan (* (tan (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (/ alphay alphax)))) (tan (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2))))) |
| 71.0ms | u1 | @ | -inf | ((+ (* u1 2) 1/2) (+ (* 2 u1) 1/2) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1))) (- 1 (/ (* (* alphay alphay) u0) (* (- 1 (cos (* (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax))) 2))) (- 1 u0)))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (* (* alphay alphay) u0) (* alphay alphay) (* (- (/ 1 (* alphay alphay)) (/ (/ u0 (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI)))))) 2))))) (* alphay alphay)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (- (/ 1 (* alphay alphay)) (/ (/ u0 (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI)))))) 2))))) (sqrt (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphax) 2))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphax) 2))) 1)) (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphax) 2))) 1) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (pow (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (/ alphay alphax)))) alphax) 2))) 1) -1/2) (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (/ 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 (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (/ alphay alphax)))) alphax) 2))) (+ (* 2 u1) 1/2) (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) (cos (* (PI) (+ (* 2 u1) 1/2))) (cos (* (PI) (+ (* u1 2) 1/2))) (tan (* (+ (* 2 u1) 1/2) (PI))) (- 1 (cos (* (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax))) 2))) (cos (* (+ (* 2 u1) 1/2) (PI))) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI)))))) 2))) (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) (tan (* (+ (* 2 u1) 1/2) (PI))) (tan (* (+ (* u1 2) 1/2) (PI))) (+ (* u1 2) 1/2) (cos (atan (* (tan (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (/ alphay alphax)))) (tan (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2))))) |
| 71.0ms | u1 | @ | 0 | ((+ (* u1 2) 1/2) (+ (* 2 u1) 1/2) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1))) (- 1 (/ (* (* alphay alphay) u0) (* (- 1 (cos (* (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax))) 2))) (- 1 u0)))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (* (* alphay alphay) u0) (* alphay alphay) (* (- (/ 1 (* alphay alphay)) (/ (/ u0 (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI)))))) 2))))) (* alphay alphay)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (- (/ 1 (* alphay alphay)) (/ (/ u0 (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI)))))) 2))))) (sqrt (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphax) 2))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphax) 2))) 1)) (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphax) 2))) 1) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (pow (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (/ alphay alphax)))) alphax) 2))) 1) -1/2) (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (/ 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 (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (/ alphay alphax)))) alphax) 2))) (+ (* 2 u1) 1/2) (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) (cos (* (PI) (+ (* 2 u1) 1/2))) (cos (* (PI) (+ (* u1 2) 1/2))) (tan (* (+ (* 2 u1) 1/2) (PI))) (- 1 (cos (* (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax))) 2))) (cos (* (+ (* 2 u1) 1/2) (PI))) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI)))))) 2))) (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) (tan (* (+ (* 2 u1) 1/2) (PI))) (tan (* (+ (* u1 2) 1/2) (PI))) (+ (* u1 2) 1/2) (cos (atan (* (tan (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (/ alphay alphax)))) (tan (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2))))) |
| 41.0ms | alphay | @ | inf | ((+ (* u1 2) 1/2) (+ (* 2 u1) 1/2) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1))) (- 1 (/ (* (* alphay alphay) u0) (* (- 1 (cos (* (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax))) 2))) (- 1 u0)))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (* (* alphay alphay) u0) (* alphay alphay) (* (- (/ 1 (* alphay alphay)) (/ (/ u0 (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI)))))) 2))))) (* alphay alphay)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (- (/ 1 (* alphay alphay)) (/ (/ u0 (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI)))))) 2))))) (sqrt (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphax) 2))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphax) 2))) 1)) (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphax) 2))) 1) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (pow (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (/ alphay alphax)))) alphax) 2))) 1) -1/2) (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (/ 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 (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (/ alphay alphax)))) alphax) 2))) (+ (* 2 u1) 1/2) (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) (cos (* (PI) (+ (* 2 u1) 1/2))) (cos (* (PI) (+ (* u1 2) 1/2))) (tan (* (+ (* 2 u1) 1/2) (PI))) (- 1 (cos (* (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax))) 2))) (cos (* (+ (* 2 u1) 1/2) (PI))) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI)))))) 2))) (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) (tan (* (+ (* 2 u1) 1/2) (PI))) (tan (* (+ (* u1 2) 1/2) (PI))) (+ (* u1 2) 1/2) (cos (atan (* (tan (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (/ alphay alphax)))) (tan (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2))))) |
| 31.0ms | u0 | @ | inf | ((+ (* u1 2) 1/2) (+ (* 2 u1) 1/2) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1))) (- 1 (/ (* (* alphay alphay) u0) (* (- 1 (cos (* (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax))) 2))) (- 1 u0)))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (* (* alphay alphay) u0) (* alphay alphay) (* (- (/ 1 (* alphay alphay)) (/ (/ u0 (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI)))))) 2))))) (* alphay alphay)) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (- (/ 1 (* alphay alphay)) (/ (/ u0 (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI)))))) 2))))) (sqrt (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphax) 2))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphax) 2))) 1)) (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphax) 2))) 1) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (pow (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (/ alphay alphax)))) alphax) 2))) 1) -1/2) (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (/ 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 (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (/ alphay alphax)))) alphax) 2))) (+ (* 2 u1) 1/2) (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) (cos (* (PI) (+ (* 2 u1) 1/2))) (cos (* (PI) (+ (* u1 2) 1/2))) (tan (* (+ (* 2 u1) 1/2) (PI))) (- 1 (cos (* (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax))) 2))) (cos (* (+ (* 2 u1) 1/2) (PI))) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI)))))) 2))) (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) (tan (* (+ (* 2 u1) 1/2) (PI))) (tan (* (+ (* u1 2) 1/2) (PI))) (+ (* u1 2) 1/2) (cos (atan (* (tan (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (/ alphay alphax)))) (tan (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1880 | 153344 |
| 1 | 7005 | 152931 |
| 0 | 8088 | 142176 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
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(+ 1 (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (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 (cos (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 (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (cos (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 (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))))) (+ (* -1 (/ (pow u0 2) (* (pow (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* (pow u0 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))))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (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 (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))))))))))) |
1 |
(+ 1 (* -1/2 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 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)))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
1 |
(+ 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))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (pow u0 2) (* (pow (cos (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (* (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))))) (* 1/4 (/ (pow u0 2) (* (pow (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (pow u0 2) (* (pow (cos (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))) (* (pow (cos (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (pow u0 2) (* (pow (cos (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (* (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))))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2))))))) (* (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 u0 2) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (* (pow alphay 2) (* (pow (cos (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 (cos (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (* (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))))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
1 |
(+ 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))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (pow u0 2) (* (pow (cos (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (* (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))))) (* 1/4 (/ (pow u0 2) (* (pow (cos (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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (pow u0 2) (* (pow (cos (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))) (* (pow (cos (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (pow u0 2) (* (pow (cos (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (* (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))))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2))))))) (* (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 u0 2) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (* (pow alphay 2) (* (pow (cos (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 (cos (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) (* (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))))) (* 1/4 (/ (pow u0 2) (* (pow (cos (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) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
1 |
(+ 1 (* -1/2 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 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)))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))))))) |
1 |
(+ 1 (* -1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphax 2) (- (* -1 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (* (pow alphax 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 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)))))))) 6) (pow (- 1 u0) 2)))))))) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
1 |
(+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) |
(+ 1 (* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
1 |
(+ 1 (* -1/2 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (/ u0 (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))) (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))) (+ (/ (* 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 6) (- 1 u0)))) (/ (* (pow u0 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (pow (- 1 u0) 2)))))))))))) |
1 |
(+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))) |
(+ 1 (* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))))) |
(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0))) |
(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0))))) |
(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0))))) |
(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) |
(cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) |
(cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) |
(cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) |
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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)))) (sqrt (/ 1 (pow (+ 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)))) 3)))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(sqrt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))))) (* 2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))) (sqrt (/ 1 (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 3)))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))))) (+ (* -1/2 (* (/ (+ (* -16 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 3) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 4))))) (+ (* 4 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 3) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 4))))) (* 8 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3))))))) (pow alphax 4)) (sqrt (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))))))) (* 2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))) (sqrt (/ 1 (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 3))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))))) (+ (* -1/2 (* (/ (+ (* -16 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 4))))) (+ (* -2 (/ (* (pow alphay 4) (* u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -16 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) 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(* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3)))))))))) (* (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))) (+ (* 4 (/ (* (pow alphay 4) (* u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -16 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 3) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 4))))) (* 8 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 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alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))) (sqrt (/ 1 (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 3)))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(sqrt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))))) (* 2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))) (sqrt (/ 1 (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 3)))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))))) (+ (* -1/2 (* (/ (+ (* -16 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 3) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 4))))) (+ (* 4 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 3) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 4))))) (* 8 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3))))))) (pow alphax 4)) (sqrt (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))))))) (* 2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))) (sqrt (/ 1 (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 3))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))))) (+ (* -1/2 (* (/ (+ (* -16 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 4))))) (+ (* -2 (/ (* (pow alphay 4) (* u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -16 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 3) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 4))))) (+ (* 4 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 3) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 4))))) (* 8 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3)))))))))) (* (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))) (+ (* 4 (/ (* (pow alphay 4) (* u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -16 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 3) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 4))))) (* 8 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3))))))))) (* (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))) (* 32 (/ (* (pow alphay 10) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 3) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 5)))))))) (pow alphax 6)) (sqrt (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))))))) (+ (* -1/2 (* (/ (+ (* -16 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 3) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 4))))) (+ (* 4 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 3) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 4))))) (* 8 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3))))))) (pow alphax 4)) (sqrt (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))))))) (* 2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))) (sqrt (/ 1 (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 3)))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(sqrt (/ 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)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (* 1/2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 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)))) 3)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 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)))) 2) (- 1 u0)))))) (pow alphax 4)) (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) (* 1/2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 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)))) 3))))))) |
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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)))) (sqrt (/ 1 (pow (+ 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)))) 3)))))))) |
(/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ (/ 1 (+ 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 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 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)))) 2) (- 1 u0)))))) |
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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)))) |
(+ 1 (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(- (+ 1 (+ (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))))) (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) |
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(sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
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(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (pow alphax 4)) (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* 1/2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3))))))) |
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(+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) |
(+ 1 (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ (* (pow alphay 2) 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) 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 6) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) |
(/ (* (pow alphay 2) 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 4) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ (* (pow alphay 2) 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) 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 6) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 8) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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)))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) |
(cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) |
(cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) |
(cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) |
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1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3)))))))) |
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(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (* 1/2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 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)))) 3)))))) |
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u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 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)))) 2) (- 1 u0)))))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (- 1 u0)))) (/ (* (pow alphay 10) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 10) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))))) (pow alphax 6)) (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 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)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 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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)))) (sqrt (/ 1 (pow (+ 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)))) 3)))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(sqrt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))))) (* 2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))) (sqrt (/ 1 (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 3)))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))))) (+ (* -1/2 (* (/ (+ (* -16 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 3) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 4))))) (+ (* 4 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 3) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 4))))) (* 8 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3))))))) (pow alphax 4)) (sqrt (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))))))) (* 2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))) (sqrt (/ 1 (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 3))))))) |
(+ (sqrt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))))) (+ (* -1/2 (* (/ (+ (* -16 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 4))))) (+ (* -2 (/ (* (pow alphay 4) (* u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -16 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) 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(* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3)))))))))) (* (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))) (+ (* 4 (/ (* (pow alphay 4) (* u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -16 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 3) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 4))))) (* 8 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3))))))))) (* (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))) (* 32 (/ (* (pow alphay 10) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 3) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 5)))))))) (pow alphax 6)) (sqrt (+ 1 (* 2 (/ (* (pow 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alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))) (sqrt (/ 1 (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 3)))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
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(+ (sqrt (/ 1 (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))))) (* 2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))) (sqrt (/ 1 (pow (+ 1 (* 2 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) 3)))))) |
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(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
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(- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
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(/ 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) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))))) (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) |
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(+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) |
(+ 1 (+ (* -1 (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ (* (pow alphay 2) 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) 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 6) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) |
(/ (* (pow alphay 2) 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 4) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ (* (pow alphay 2) 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) 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 6) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 8) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (+ (* -1 (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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)))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) |
(cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) |
(cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) |
(cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) |
1/2 |
(+ 1/2 (* 2 u1)) |
(+ 1/2 (* 2 u1)) |
(+ 1/2 (* 2 u1)) |
1/2 |
(+ 1/2 (* 2 u1)) |
(+ 1/2 (* 2 u1)) |
(+ 1/2 (* 2 u1)) |
(sqrt (/ 1 (+ 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))))))))) 2) (pow alphay 2))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 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))))))))) 2) (pow alphay 2))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 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))))))))) 2) (pow alphay 2))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 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))))))))) 2) (pow alphay 2))) (- 1 u0)))))) |
(sqrt (/ 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)))))) |
(sqrt (/ 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)))))) |
(sqrt (/ 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)))))) |
(sqrt (/ 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)))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) (- 1 u0)))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) (- 1 u0)))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(sqrt (/ 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)))))) |
(sqrt (/ 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)))))) |
(sqrt (/ 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)))))) |
(sqrt (/ 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)))))) |
(/ 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))))) |
(/ 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))))) |
(/ 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))))) |
(/ 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))))) |
(+ 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)))) |
(+ 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)))) |
(+ 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)))) |
(+ 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)))) |
(* 1/2 (PI)) |
(+ (* 1/2 (PI)) (* 2 (* u1 (PI)))) |
(+ (* 1/2 (PI)) (* 2 (* u1 (PI)))) |
(+ (* 1/2 (PI)) (* 2 (* u1 (PI)))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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)))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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)))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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)))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 |
(+ 1/2 (* 2 u1)) |
(+ 1/2 (* 2 u1)) |
(+ 1/2 (* 2 u1)) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (* 1/2 (PI))) |
(+ (cos (* 1/2 (PI))) (* -2 (* u1 (* (PI) (sin (* 1/2 (PI))))))) |
(+ (cos (* 1/2 (PI))) (* u1 (- (* -2 (* u1 (* (pow (PI) 2) (cos (* 1/2 (PI)))))) (* 2 (* (PI) (sin (* 1/2 (PI)))))))) |
(+ (cos (* 1/2 (PI))) (* u1 (- (* u1 (+ (* -2 (* (pow (PI) 2) (cos (* 1/2 (PI))))) (* 4/3 (* u1 (* (pow (PI) 3) (sin (* 1/2 (PI)))))))) (* 2 (* (PI) (sin (* 1/2 (PI)))))))) |
(cos (* 1/2 (PI))) |
(+ (cos (* 1/2 (PI))) (* -2 (* u1 (* (PI) (sin (* 1/2 (PI))))))) |
(+ (cos (* 1/2 (PI))) (* u1 (- (* -2 (* u1 (* (pow (PI) 2) (cos (* 1/2 (PI)))))) (* 2 (* (PI) (sin (* 1/2 (PI)))))))) |
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1/2 |
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(* 2 u1) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
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(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
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(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
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(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))))))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) (- 1 u0)))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) (- 1 u0)))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))))))))) |
(- 1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))))))))) |
(- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))))))))) |
(- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))))))))) |
(- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))))))))) |
(- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))))))))) |
(sqrt (/ 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)))))) |
(sqrt (/ 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)))))) |
(sqrt (/ 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)))))) |
(sqrt (/ 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)))))) |
(/ 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))))) |
(/ 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))))) |
(/ 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))))) |
(/ 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))))) |
(+ 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)))) |
(+ 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)))) |
(+ 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)))) |
(+ 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)))) |
(* 2 (* u1 (PI))) |
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1))))) |
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1))))) |
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1)))))) (* alphax (cos (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1))))))))) 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)))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1)))))) (* alphax (cos (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1))))))))) 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)))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1)))))) (* alphax (cos (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1))))))))) 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)))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1)))))) (* alphax (cos (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1))))))))) 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 (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1)))))) (* alphax (cos (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1))))))))) 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 (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1)))))) (* alphax (cos (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1))))))))) 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 (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1)))))) (* alphax (cos (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1))))))))) 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 (/ u0 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1)))))) (* alphax (cos (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1))))))))) 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 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1)))))) (* alphax (cos (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1))))))))) 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 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1)))))) (* alphax (cos (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1))))))))) 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 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1)))))) (* alphax (cos (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1))))))))) 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 (* (+ (/ (pow (cos (atan (/ (* alphay (sin (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1)))))) (* alphax (cos (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1))))))))) 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))) |
(* 2 u1) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
(cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1))))) |
(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1))))) |
(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1))))) |
(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) |
(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1))))) |
(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1))))) |
(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1))))) |
(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1))))) |
(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1))))) |
(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1))))) |
(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1))))) |
(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1))))) |
(* 2 u1) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
(cos (atan (/ (* alphay (sin (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1)))))) (* alphax (cos (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1))))))))) |
(cos (atan (/ (* alphay (sin (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1)))))) (* alphax (cos (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1))))))))) |
(cos (atan (/ (* alphay (sin (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1)))))) (* alphax (cos (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1))))))))) |
(cos (atan (/ (* alphay (sin (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1)))))) (* alphax (cos (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1))))))))) |
(/ (sin (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1))))) (cos (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1)))))) |
(/ (sin (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1))))) (cos (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1)))))) |
(/ (sin (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1))))) (cos (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1)))))) |
(/ (sin (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1))))) (cos (* -1 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (+ 1/2 (* -2 u1)))))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
1 |
(+ 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))))) |
(+ 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))))))) |
(+ 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)))))))))))) |
1 |
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))))))) |
1 |
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
1 |
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) |
(+ 1 (* (pow alphay 2) (+ (* -1 (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))) (* -1/2 (* (pow alphay 2) (+ (* -4 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))) (+ (* -4 (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))) (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))))))))) |
(+ 1 (* (pow alphay 2) (+ (* -1 (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -2 (/ (* u0 (+ (* -4 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))) (* -4 (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))))) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))) (+ (* 8 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3))))) (+ (* 8 (/ (* (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 (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3))))) (/ (* u0 (+ (* -4 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))) (+ (* -4 (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))) (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))))) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))))))) (* -1/2 (+ (* -4 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))) (+ (* -4 (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))) (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))))))))) |
(* (pow alphay 2) u0) |
(* (pow alphay 2) u0) |
(* (pow alphay 2) u0) |
(* (pow alphay 2) u0) |
(pow alphay 2) |
(pow alphay 2) |
(pow alphay 2) |
(pow alphay 2) |
1 |
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
1 |
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) |
(+ 1 (* (pow alphay 2) (+ (* -1 (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))) (* -1/2 (* (pow alphay 2) (+ (* -4 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))) (+ (* -4 (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))) (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))))))))) |
(+ 1 (* (pow alphay 2) (+ (* -1 (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -2 (/ (* u0 (+ (* -4 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))) (* -4 (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))))) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))) (+ (* 8 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3))))) (+ (* 8 (/ (* (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 (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3))))) (/ (* u0 (+ (* -4 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))) (+ (* -4 (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))) (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))))) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))))))) (* -1/2 (+ (* -4 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (- 1 u0) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))) (+ (* -4 (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2)))) (/ (pow u0 2) (* (pow (- 1 u0) 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))))))))))) |
1 |
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(/ 1 (pow alphay 2)) |
(/ (+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) (pow alphay 2)) |
(/ (+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) (pow alphay 2)) |
(/ (+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) (pow alphay 2)) |
1 |
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))))))) |
1 |
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2)))))))) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
1 |
(+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) |
(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
1 |
(+ 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))))) |
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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))))))) |
(+ 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 |
(+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) |
(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))) |
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) |
(cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) |
(cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) |
(cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) |
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2 u1)))))))) 10) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))))) (pow alphay 6)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (pow alphay 4)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) (* 1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3)))))))) |
(* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (* 1/4 (* (/ (* (pow alphax 4) (* u0 (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) (* (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 (* (/ (+ (* -1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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))))) (+ (* 1/16 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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 6) (* u0 (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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))))))) (* 1/4 (* (/ (* (pow alphax 4) (* u0 (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) (* (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 (* (/ (+ (* -1/4 (/ (* (pow alphax 4) (* u0 (* (+ (* -1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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))))) (+ (* 1/16 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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 6) (* u0 (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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))))))) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))) (* (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))))) (+ (* -1/8 (/ (* (pow alphax 8) (* u0 (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3))) (* (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))))) (+ (* 1/8 (/ (* (pow alphax 10) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3))) (* (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))))) (* 1/2 (/ (* (pow alphax 4) (* u0 (* (+ (* -1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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 6) (* u0 (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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)))))) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))) (* (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 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 (* (/ (+ (* -1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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))))) (+ (* 1/16 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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 6) (* u0 (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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))))))) (* 1/4 (* (/ (* (pow alphax 4) (* u0 (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) (* (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)))))))) |
(* (pow alphay 2) u0) |
(* (pow alphay 2) u0) |
(* (pow alphay 2) u0) |
(* (pow alphay 2) u0) |
(pow alphay 2) |
(pow alphay 2) |
(pow alphay 2) |
(pow alphay 2) |
(* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(* (pow alphay 2) (+ (* -1 (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) (/ 1 (pow alphay 2)))) |
(* (pow alphay 2) (+ (* -1 (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) (/ 1 (pow alphay 2)))) |
(* (pow alphay 2) (+ (* -1 (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) (/ 1 (pow alphay 2)))) |
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (* 1/4 (* (/ (* (pow alphax 4) (* u0 (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) (* (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) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(* -1 (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(sqrt (/ 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)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (* 1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (pow alphay 4)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) (* 1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3))))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 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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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(+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) |
(+ 1 (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(- (+ 1 (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) |
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(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))) 3)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (pow alphay 4)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))) 3))))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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) (+ (* 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alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))) 2) (- 1 u0))))))))) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))) (- 1 u0))))) (+ (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))))) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 10) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))))) (pow alphay 6)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (pow alphay 4)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))) 3)))))))) |
(+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))) |
(+ 1 (+ (* -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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0))))) |
(- (+ 1 (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 6) (- 1 u0)))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (- 1 u0))))) |
(- (+ 1 (+ (* -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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 8) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0))))) (+ (* -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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (- 1 u0)))))) |
(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0))) |
(+ (* -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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))) |
(- (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (- 1 u0))))) |
(- (+ (* -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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 8) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))) (+ (* -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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (- 1 u0)))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) |
(cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) |
(cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) |
(cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) |
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(* 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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(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 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alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3)))))))) |
(* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
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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)))))) (* 1/4 (* (/ (* (pow alphax 4) (* u0 (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) (* (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 (* (/ (+ (* -1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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))))) (+ (* 1/16 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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 6) (* u0 (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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))))))) (* 1/4 (* (/ (* (pow alphax 4) (* u0 (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) (* (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 (* (/ (+ (* -1/4 (/ (* (pow alphax 4) (* u0 (* (+ (* -1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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))))) (+ (* 1/16 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (pow (cos (atan (/ (* alphay (sin 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(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))))) (* 1/2 (/ (* (pow alphax 4) (* u0 (* (+ (* -1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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 6) (* u0 (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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)))))) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))) (* (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 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 (* (/ (+ (* -1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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))))) (+ (* 1/16 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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 6) (* u0 (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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))))))) (* 1/4 (* (/ (* (pow alphax 4) (* u0 (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) (* (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)))))))) |
(* (pow alphay 2) u0) |
(* (pow alphay 2) u0) |
(* (pow alphay 2) u0) |
(* (pow alphay 2) u0) |
(pow alphay 2) |
(pow alphay 2) |
(pow alphay 2) |
(pow alphay 2) |
(* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(* (pow alphay 2) (+ (* -1 (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) (/ 1 (pow alphay 2)))) |
(* (pow alphay 2) (+ (* -1 (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) (/ 1 (pow alphay 2)))) |
(* (pow alphay 2) (+ (* -1 (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) (/ 1 (pow alphay 2)))) |
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (* 1/4 (* (/ (* (pow alphax 4) (* u0 (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) (* (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 (* (/ (+ (* -1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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))))) (+ (* 1/16 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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 6) (* u0 (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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))))))) (* 1/4 (* (/ (* (pow alphax 4) (* u0 (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) (* (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 (* (/ (+ (* -1/4 (/ (* (pow alphax 4) (* u0 (* (+ (* -1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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))))) (+ (* 1/16 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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 6) (* u0 (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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))))))) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))) (* (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))))) (+ (* -1/8 (/ (* (pow alphax 8) (* u0 (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3))) (* (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))))) (+ (* 1/8 (/ (* (pow alphax 10) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 3))) (* (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))))) (* 1/2 (/ (* (pow alphax 4) (* u0 (* (+ (* -1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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 6) (* u0 (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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)))))) (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))))) (* (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 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 (* (/ (+ (* -1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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))))) (+ (* 1/16 (/ (* (pow alphax 8) (* (pow u0 2) (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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 6) (* u0 (pow (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) 2))) (* (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))))))) (* 1/4 (* (/ (* (pow alphax 4) (* u0 (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) (* (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)))))))) |
(* -1 (/ (* (pow alphay 2) u0) (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(* (pow alphay 2) (- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(* -1 (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(- (/ 1 (pow alphay 2)) (/ u0 (* (- 1 u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(sqrt (/ 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)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (* 1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3)))))) |
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(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 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alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3)))))))) |
(/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (pow alphay 4))) (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))))) |
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(+ 1 (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(- (+ 1 (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) |
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(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))) 3)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (pow alphay 4)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))) 3))))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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) (+ (* 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alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))) 2) (- 1 u0))))))))) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))) (- 1 u0))))) (+ (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))))) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 10) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))))) (pow alphay 6)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (pow alphay 4)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))) 3)))))))) |
(+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))) |
(+ 1 (+ (* -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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0))))) |
(- (+ 1 (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 6) (- 1 u0)))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (- 1 u0))))) |
(- (+ 1 (+ (* -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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 8) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0))))) (+ (* -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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (- 1 u0)))))) |
(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0))) |
(+ (* -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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))) |
(- (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (- 1 u0))))) |
(- (+ (* -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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 8) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (- 1 u0)))) (+ (* -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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 4) (- 1 u0)))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) |
(cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) |
(cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) |
(cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) |
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)))))))) |
1 |
(+ 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 (* -1 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(+ 1 (* u0 (- (* -1 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(+ 1 (* u0 (- (* u0 (+ (* -1 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
1 |
(+ 1 (* -1/2 (/ u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))))) |
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) 2))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))))))) (* 1/2 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))))))) |
(+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) 2))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))))) (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))))) (+ (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))) (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) 2))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))))))) (* 1/2 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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 alphay 2) u0) |
(* (pow alphay 2) u0) |
(* (pow alphay 2) u0) |
(* (pow alphay 2) u0) |
1 |
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(+ 1 (* u0 (+ (* -1 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))))) |
(+ 1 (* u0 (+ (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) (* u0 (+ (* -1 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))))))) |
1 |
(+ 1 (* -1/2 (/ u0 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))))) |
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) 2))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))))))) (* 1/2 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))))))) |
(+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) 2))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))))) (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))))) (+ (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))) (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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))) 2))) (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))))))) (* 1/2 (/ 1 (+ (* 1/2 (/ (- 1 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))) (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)))))))) |
1 |
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(+ 1 (* u0 (- (* -1 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(+ 1 (* u0 (- (* u0 (+ (* -1 (/ (* (pow alphay 2) u0) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) (* -1 (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) (/ (pow alphay 2) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(/ 1 (pow alphay 2)) |
(+ (* -1 (/ u0 (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) (/ 1 (pow alphay 2))) |
(+ (* u0 (- (* -1 (/ u0 (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) (/ 1 (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) (/ 1 (pow alphay 2))) |
(+ (* u0 (- (* u0 (- (* -1 (/ u0 (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) (/ 1 (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) (/ 1 (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) (/ 1 (pow alphay 2))) |
1 |
(+ 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 (* -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))))))) |
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 (+ (/ 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 (* 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))))))) |
1 |
(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 |
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(+ 1 (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))) |
(/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) |
(* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) |
(* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) |
(* u0 (+ (* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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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(+ (sqrt (/ 1 (- 1 (/ 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 (* 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))))) (sqrt (/ 1 (pow (- 1 (/ 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))))) 3))))) (* 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))) (pow (- 1 (/ 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))))) 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) (pow (- 1 (/ 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))))) 3))))) (pow u0 2)) (sqrt (- 1 (/ 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)))))))))) |
(+ (sqrt (/ 1 (- 1 (/ 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 (* 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))))) (sqrt (/ 1 (pow (- 1 (/ 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))))) 3))))) (+ (* 1/2 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(* (pow alphay 2) u0) |
(* (pow alphay 2) u0) |
(* (pow alphay 2) u0) |
(* (pow alphay 2) u0) |
(* (pow alphay 2) (+ (/ 1 (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (/ 1 (pow alphay 2)))) |
(+ (* (pow alphay 2) (+ (/ 1 (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (/ 1 (pow alphay 2)))) (/ (pow alphay 2) (* u0 (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) |
(+ (* (pow alphay 2) (+ (/ 1 (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (/ 1 (pow alphay 2)))) (+ (/ (pow alphay 2) (* u0 (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) (/ (pow alphay 2) (* (pow u0 2) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))))) |
(+ (* (pow alphay 2) (+ (/ 1 (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (/ 1 (pow alphay 2)))) (+ (/ (pow alphay 2) (* u0 (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) (+ (/ (pow alphay 2) (* (pow u0 2) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))))))) (/ (pow alphay 2) (* (pow u0 3) (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))))) |
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(* (pow alphay 2) u0) |
(* (pow alphay 2) u0) |
(* (pow alphay 2) u0) |
(* (pow alphay 2) u0) |
(* (pow alphay 2) (+ (/ 1 (- 1 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (/ 1 (pow alphay 2)))) |
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(* -1 (+ (/ 1 (* u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (* u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) u0)) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (* u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 u0 2) (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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 (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) u0)) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2)))) (* alphax (cos (/ (* (PI) (- (* 4 (pow u1 2)) 1/4)) (- (* 2 u1) 1/2))))))) 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))))) |
| Outputs |
|---|
#s(literal 1 binary32) |
(fma.f32 (*.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 -1/2 binary32) #s(literal 1 binary32)) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 (*.f32 u0 u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (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 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphax alphax) (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphax alphax) #s(literal 1 binary32)) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (-.f32 (fma.f32 (*.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 (/.f32 (/.f32 (*.f32 u0 u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (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 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) (fma.f32 (/.f32 u0 (pow.f32 alphay #s(literal 4 binary32))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 (*.f32 u0 u0) (*.f32 alphay alphay)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))))))) (*.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 (neg.f32 (fma.f32 (/.f32 u0 (*.f32 alphay alphay)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))) (/.f32 (/.f32 (*.f32 u0 u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (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 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) #s(literal -3/4 binary32)) (*.f32 (/.f32 u0 (*.f32 alphay alphay)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))))) (*.f32 alphax alphax) (/.f32 (*.f32 #s(literal -1/2 binary32) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphax alphax) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(fma.f32 (*.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 -1/2 binary32) #s(literal 1 binary32)) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (-.f32 (*.f32 (/.f32 (/.f32 (*.f32 u0 u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (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 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphax alphax) (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphax alphax) #s(literal 1 binary32)) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (-.f32 (fma.f32 (*.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 (/.f32 (/.f32 (*.f32 u0 u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (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 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) (fma.f32 (/.f32 u0 (pow.f32 alphay #s(literal 4 binary32))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (*.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 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#s(literal 1 binary32) |
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(-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) |
(-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) |
(-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) |
(-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (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) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
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(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
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#s(literal 1/2 binary32) |
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(cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
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(/.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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(/.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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#s(literal 1/2 binary32) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
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(/.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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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (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)))))) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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(fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 alphax #s(literal 4 binary32))) (/.f32 (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (cos.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))))))) #s(literal 4 binary32)) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (neg.f32 (/.f32 u0 (*.f32 alphax alphax))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (cos.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphay alphay) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphay alphay) #s(literal 1 binary32)) |
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#s(literal 1 binary32) |
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(*.f32 (*.f32 alphay alphay) u0) |
#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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#s(literal 1 binary32) |
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(/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) |
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#s(literal 1 binary32) |
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(-.f32 (/.f32 (neg.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (cos.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 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 #s(literal 1 binary32) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (cos.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 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)))))) u0) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (cos.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 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 (neg.f32 (+.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 u0 u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (cos.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 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 #s(literal 1 binary32) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (cos.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 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) u0) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (cos.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 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)))))) u0) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (cos.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 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))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 176 | 1116 |
| 0 | 290 | 959 |
| 1 | 1155 | 899 |
| 0 | 9135 | 897 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)) |
(+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.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 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0)))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) |
(*.f32 (*.f32 alphay alphay) u0) |
(*.f32 alphay alphay) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 alphay alphay)) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 alphay alphay)))) |
#s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 alphay alphay))) |
(-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (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)))))) |
(sqrt.f32 (/.f32 #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 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
(/.f32 #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 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 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 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 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 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 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 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
(cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32))))))) |
(cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)))) |
(cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))) |
(tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) |
(-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) |
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) |
(-.f32 #s(literal 1 binary32) (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)))) |
(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 (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) |
(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)) |
(cos.f32 (atan.f32 (*.f32 (tan.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (/.f32 alphay alphax)))) |
(tan.f32 (/.f32 (*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (PI.f32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) |
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) |
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Compiled 320 429 to 7 732 computations (97.6% saved)
30 alts after pruning (29 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 841 | 19 | 1 860 |
| Fresh | 15 | 10 | 25 |
| Picked | 5 | 0 | 5 |
| Done | 1 | 1 | 2 |
| Total | 1 862 | 30 | 1 892 |
| Status | Accuracy | Program |
|---|---|---|
| 94.4% | (pow.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 -1/2 binary32)) | |
| 84.5% | (pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) | |
| 97.6% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))) | |
| 28.2% | (/.f32 #s(literal 1 binary32) #s(approx (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0)))) (fma.f32 (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))) #s(literal 1 binary32)))) | |
| 98.4% | (sqrt.f32 (/.f32 #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 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) | |
| 98.6% | (sqrt.f32 (/.f32 #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 (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 (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) | |
| 94.1% | (sqrt.f32 (/.f32 #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 #s(literal 2 binary32) u1) #s(literal -1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) | |
| 93.7% | (sqrt.f32 (/.f32 #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 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal 2 binary32))))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) | |
| 99.9% | (sqrt.f32 (/.f32 #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 #s(literal 2 binary32) u1) #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 (-.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal -1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) | |
| 94.4% | (sqrt.f32 (/.f32 #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 #s(literal 2 binary32) u1) #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 #s(approx (+ (* u1 2) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) | |
| 98.4% | (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) | |
| 98.2% | (sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 3 binary32)) #s(literal 1 binary32))) (+.f32 (pow.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #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 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))))))) | |
| ✓ | 92.8% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32)) |
| 62.5% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 (/.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1/8 binary32)) (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1 binary32))))) (PI.f32)))))) #s(literal 2 binary32))))))) | |
| 85.4% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))))))) | |
| 70.5% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 #s(approx (+ (* u1 2) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32)))))) #s(literal 2 binary32))))))) | |
| 33.0% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 3 binary32)))) (+.f32 (fma.f32 u0 u0 u0) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))))) | |
| 78.8% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.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 #s(literal 1 binary32) u0))))) | |
| 58.1% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 u1 u1)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) | |
| 96.9% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal -1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) | |
| 40.4% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) | |
| 97.0% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) | |
| 77.5% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* (* alphay alphay) u0) (- 1 u0)) (*.f32 (*.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))))) | |
| 49.3% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (pow.f32 alphay #s(literal -2 binary32)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))))) (*.f32 alphay alphay)))) | |
| 83.4% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (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 (-.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal -1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 alphay alphay)))) | |
| 79.8% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))))) (*.f32 alphay alphay)))) | |
| 43.1% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (log.f32 alphay) #s(literal 2 binary32)))) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 alphay alphay)))) | |
| 49.6% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (*.f32 (-.f32 (pow.f32 alphay #s(literal -2 binary32)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))))) alphay) alphay))) | |
| 92.6% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 #s(approx (- (/ 1 (* alphay alphay)) (/ (/ u0 (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI)))))) 2))))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay))) (*.f32 alphay alphay)))) | |
| 75.4% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 #s(approx (- (/ 1 (* alphay alphay)) (/ (/ u0 (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI)))))) 2))))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))))))) (*.f32 alphay alphay)))) |
Compiled 9 945 to 2 526 computations (74.6% saved)
| 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 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 #s(approx (- (/ 1 (* alphay alphay)) (/ (/ u0 (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI)))))) 2))))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay))) (*.f32 alphay alphay)))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.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 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal -1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (fma.f32 #s(literal -1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))))) (*.f32 alphay alphay)))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 u1 u1)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (*.f32 (-.f32 (pow.f32 alphay #s(literal -2 binary32)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))))) alphay) alphay))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (pow.f32 alphay #s(literal -2 binary32)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))))) (*.f32 alphay alphay)))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* (* alphay alphay) u0) (- 1 u0)) (*.f32 (*.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 #s(approx (+ (* u1 2) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32)))))) #s(literal 2 binary32))))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 #s(approx (- (/ 1 (* alphay alphay)) (/ (/ u0 (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI)))))) 2))))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))))))) (*.f32 alphay alphay)))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))))))) |
(/.f32 #s(literal 1 binary32) #s(approx (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0)))) (fma.f32 (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))) #s(literal 1 binary32)))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 alphay alphay)))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (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 (-.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal -1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 alphay alphay)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))) |
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#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 3 binary32)))) (+.f32 (fma.f32 u0 u0 u0) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 (/.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1/8 binary32)) (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1 binary32))))) (PI.f32)))))) #s(literal 2 binary32))))))) |
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (log.f32 alphay) #s(literal 2 binary32)))) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 alphay alphay)))) |
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(/.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 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 (*.f32 u1 (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))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.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)) alphax) (/.f32 #s(literal 1/2 binary32) alphax) (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) (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))))) |
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(sqrt.f32 (/.f32 #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 (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 (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #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 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 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 (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 (sin.f32 (atan.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) alphax) (*.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) alphax) alphay)) (*.f32 alphax alphay))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
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(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 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 (*.f32 (PI.f32) u1) #s(literal 2 binary32)))) (/.f32 alphay alphax)))) alphax) #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 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
(pow.f32 (+.f32 (/.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 -1/2 binary32)) |
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(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (/.f32 u0 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.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)) #s(literal 1/2 binary32) (/.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))))) (-.f32 #s(literal 1 binary32) u0))))) |
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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 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
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(/.f32 #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 (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
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#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
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#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(approx (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32)))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (/.f32 (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal 1/8 binary32)) (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 2 binary32)) (*.f32 u1 #s(literal 1 binary32)))))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
(/.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 (fma.f32 #s(literal 2 binary32) (*.f32 u1 (PI.f32)) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay 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 (+.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 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 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 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 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 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 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 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))))) (pow.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) 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)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 2 binary32)))))) |
(sqrt.f32 (*.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 #s(literal 2 binary32) u1 #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 #s(literal 2 binary32) u1 #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 #s(literal 2 binary32) u1 #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 #s(literal 2 binary32) u1 #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 #s(literal 2 binary32) u1 #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 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) #s(literal 2 binary32))))) |
(sqrt.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 3 binary32)) #s(literal 1 binary32))) (+.f32 (pow.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #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 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))))))) |
| Outputs |
|---|
(sqrt.f32 (/.f32 #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 #s(literal 2 binary32) u1) #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 (-.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal -1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
13 calls:
| 23.0ms | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) |
| 21.0ms | (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))) |
| 20.0ms | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) |
| 20.0ms | (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
| 20.0ms | alphax |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | u0 |
| 99.9% | 1 | u1 |
| 99.9% | 1 | alphax |
| 99.9% | 1 | alphay |
| 99.9% | 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))))) |
| 99.9% | 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)))) |
| 99.9% | 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))) |
| 99.9% | 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)) |
| 99.9% | 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)))) |
| 99.9% | 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))) |
| 99.9% | 1 | (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
| 99.9% | 1 | (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
| 99.9% | 1 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) |
Compiled 522 to 219 computations (58% saved)
| 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 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 #s(approx (- (/ 1 (* alphay alphay)) (/ (/ u0 (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI)))))) 2))))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay))) (*.f32 alphay alphay)))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.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 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal -1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (fma.f32 #s(literal -1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))))) (*.f32 alphay alphay)))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 u1 u1)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (*.f32 (-.f32 (pow.f32 alphay #s(literal -2 binary32)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))))) alphay) alphay))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (pow.f32 alphay #s(literal -2 binary32)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))))) (*.f32 alphay alphay)))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* (* alphay alphay) u0) (- 1 u0)) (*.f32 (*.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 #s(approx (+ (* u1 2) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32)))))) #s(literal 2 binary32))))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 #s(approx (- (/ 1 (* alphay alphay)) (/ (/ u0 (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI)))))) 2))))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))))))) (*.f32 alphay alphay)))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))))))) |
(/.f32 #s(literal 1 binary32) #s(approx (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0)))) (fma.f32 (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))) #s(literal 1 binary32)))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 alphay alphay)))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (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 (-.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal -1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 alphay alphay)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))) |
#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 (/.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))))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(/.f32 #s(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))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 3 binary32)))) (+.f32 (fma.f32 u0 u0 u0) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 (/.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1/8 binary32)) (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1 binary32))))) (PI.f32)))))) #s(literal 2 binary32))))))) |
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (log.f32 alphay) #s(literal 2 binary32)))) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 alphay alphay)))) |
(sqrt.f32 (/.f32 #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 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal 2 binary32))))) 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 #s(approx (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (*.f32 (*.f32 u1 (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))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.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)) alphax) (/.f32 #s(literal 1/2 binary32) alphax) (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) (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))))) |
(sqrt.f32 (/.f32 #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 (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 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 #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 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 #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 #s(literal 2 binary32) u1) #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 #s(approx (+ (* u1 2) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 #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 #s(literal 2 binary32) u1) #s(literal -1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 #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 (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 (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
| Outputs |
|---|
(sqrt.f32 (/.f32 #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 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal 2 binary32))))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
13 calls:
| 27.0ms | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) |
| 13.0ms | u1 |
| 13.0ms | (+.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))) |
| 12.0ms | (/.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 #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))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 1 | u0 |
| 97.5% | 1 | u1 |
| 97.5% | 1 | alphax |
| 97.5% | 1 | alphay |
| 97.5% | 1 | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
| 97.5% | 1 | (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))) |
| 97.5% | 1 | (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))) |
| 97.5% | 1 | (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)) |
| 97.5% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) |
| 97.5% | 1 | (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))) |
| 97.5% | 1 | (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
| 97.5% | 1 | (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
| 97.5% | 1 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) |
Compiled 522 to 219 computations (58% saved)
| 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 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 #s(approx (- (/ 1 (* alphay alphay)) (/ (/ u0 (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI)))))) 2))))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay))) (*.f32 alphay alphay)))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.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 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (-.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal -1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (fma.f32 #s(literal -1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))))) (*.f32 alphay alphay)))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (-.f32 (/.f32 (*.f32 #s(literal 4 binary32) (*.f32 u1 u1)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (*.f32 (-.f32 (pow.f32 alphay #s(literal -2 binary32)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))))) alphay) alphay))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (pow.f32 alphay #s(literal -2 binary32)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))))) (*.f32 alphay alphay)))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (* (* alphay alphay) u0) (- 1 u0)) (*.f32 (*.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 #s(approx (+ (* u1 2) 1/2) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 #s(approx (+ (* u1 2) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32)))))) #s(literal 2 binary32))))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 #s(approx (- (/ 1 (* alphay alphay)) (/ (/ u0 (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI)))))) 2))))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 u0 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))))))) (*.f32 alphay alphay)))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))))))) |
(/.f32 #s(literal 1 binary32) #s(approx (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0)))) (fma.f32 (/.f32 (*.f32 alphay alphay) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))) #s(literal 1 binary32)))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 alphay alphay)))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay)) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (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 (-.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal -1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 alphay alphay)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 alphay alphay) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))) |
#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 (/.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))))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(/.f32 #s(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))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 3 binary32)))) (+.f32 (fma.f32 u0 u0 u0) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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))))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 alphay alphay) u0) (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.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 (/.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1/8 binary32)) (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1 binary32))))) (PI.f32)))))) #s(literal 2 binary32))))))) |
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (/ (* (+ (* (* u1 u1) 4) -1/4) (PI)) (+ (* 2 u1) -1/2))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (log.f32 alphay) #s(literal 2 binary32)))) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))))) (*.f32 alphay alphay)))) |
| Outputs |
|---|
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) |
13 calls:
| 10.0ms | u1 |
| 10.0ms | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) |
| 10.0ms | (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)) |
| 9.0ms | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) |
| 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))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 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))) |
| 97.0% | 1 | u0 |
| 97.0% | 1 | u1 |
| 97.0% | 1 | alphax |
| 97.0% | 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))))) |
| 97.0% | 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)))) |
| 97.0% | 1 | (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
| 97.0% | 1 | (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
| 97.0% | 1 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) |
| 97.0% | 1 | alphay |
| 97.0% | 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)))) |
| 97.0% | 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))) |
| 97.0% | 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)) |
Compiled 522 to 219 computations (58% saved)
Total -0.1b remaining (-2.7%)
Threshold costs -0.1b (-2.7%)
| 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 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) #s(approx (- 1 (/ (/ (* (* alphay alphay) u0) (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* u1 2) 1/2) (PI))) (cos (* (+ (* u1 2) 1/2) (PI)))))) 2))))) (*.f32 #s(approx (- (/ 1 (* alphay alphay)) (/ (/ u0 (- 1 u0)) (- 1 (cos (* (atan (* (/ alphay alphax) (/ (sin (* (+ (* 2 u1) 1/2) (PI))) (cos (* (+ (* 2 u1) 1/2) (PI)))))) 2))))) (/.f32 #s(literal 1 binary32) (*.f32 alphay alphay))) (*.f32 alphay alphay)))) |
| 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)) |
13 calls:
| 3.0ms | alphax |
| 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))))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.8% | 1 | alphay |
| 92.8% | 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)))) |
| 92.8% | 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))) |
| 92.8% | 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)) |
| 92.8% | 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)))) |
| 92.8% | 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))) |
| 92.8% | 1 | u0 |
| 92.8% | 1 | u1 |
| 92.8% | 1 | alphax |
| 92.8% | 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))))) |
| 92.8% | 1 | (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
| 92.8% | 1 | (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
| 92.8% | 1 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) |
Compiled 522 to 219 computations (58% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 113 | 283 |
| 1 | 142 | 283 |
| 2 | 159 | 283 |
| 3 | 182 | 283 |
| 4 | 206 | 283 |
| 5 | 244 | 283 |
| 6 | 301 | 283 |
| 7 | 427 | 283 |
| 8 | 551 | 283 |
| 9 | 635 | 283 |
| 10 | 689 | 283 |
| 11 | 763 | 283 |
| 12 | 856 | 283 |
| 13 | 946 | 283 |
| 14 | 1023 | 283 |
| 15 | 1087 | 283 |
| 16 | 1134 | 283 |
| 17 | 1167 | 283 |
| 18 | 1194 | 283 |
| 19 | 1211 | 283 |
| 20 | 1217 | 283 |
| 21 | 1218 | 283 |
| 1× | saturated |
| Inputs |
|---|
(sqrt.f32 (/.f32 #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 #s(literal 2 binary32) u1) #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 (-.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal -1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal 2 binary32))))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #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))))) #s(literal 1 binary32)) |
| Outputs |
|---|
(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 (-.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 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 2 binary32)))))))) alphay) #s(literal 2 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 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32)))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) (*.f32 u1 #s(literal 2 binary32)))))))) alphay) #s(literal 2 binary32))))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (* (/ (- 1 (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2))) alphay) (/ 1/2 alphay)) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) u0) (- 1 u0))))) (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (*.f32 (-.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (-.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))))) #s(literal 1 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1880 | 153344 |
| 1 | 7005 | 152931 |
| 0 | 8088 | 142176 |
| 0 | 2043 | 141993 |
| 1 | 7719 | 141659 |
| 0 | 8157 | 131680 |
| 0 | 547 | 29379 |
| 1 | 1836 | 24471 |
| 0 | 8246 | 22764 |
| 0 | 109 | 1073 |
| 0 | 190 | 1001 |
| 1 | 771 | 760 |
| 2 | 6464 | 740 |
| 0 | 8504 | 740 |
| 0 | 176 | 1116 |
| 0 | 290 | 959 |
| 1 | 1155 | 899 |
| 0 | 9135 | 897 |
| 0 | 147 | 1276 |
| 0 | 244 | 1047 |
| 1 | 1019 | 982 |
| 0 | 8032 | 981 |
| 0 | 32 | 324 |
| 0 | 57 | 219 |
| 1 | 228 | 202 |
| 2 | 2076 | 202 |
| 0 | 8656 | 191 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter 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 |
Compiled 746 to 330 computations (55.8% saved)
Compiled 742 to 296 computations (60.1% saved)
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