
Time bar (total: 16.9s)
| 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)
| 3.4s | 8 256× | 0 | valid |
ival-mult: 573.0ms (19.2% of total)ival-div: 410.0ms (13.8% of total)ival-cos: 313.0ms (10.5% of total)const: 304.0ms (10.2% of total)ival-sin: 293.0ms (9.8% of total)ival-tan: 291.0ms (9.8% of total)ival-<=: 264.0ms (8.9% of total)ival-add: 120.0ms (4% of total)ival-atan: 116.0ms (3.9% of total)ival-pi: 115.0ms (3.9% of total)ival-sqrt: 59.0ms (2% of total)ival-sub: 56.0ms (1.9% of total)ival-and: 44.0ms (1.5% of total)exact: 15.0ms (0.5% of total)ival-assert: 3.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 182 | 3 | (6.374207828230283e-9 0.0037314705550670624 0.023646924644708633 0.058643702417612076) | 5 | (0.005296343006193638 0.0360901802778244 0.10080935806035995 0.8553973436355591) | (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) |
| 179 | 4 | (0.005926044192165136 0.0014810400316491723 0.2567349076271057 0.053336016833782196) | 13 | (2.9396758236543974e-6 0.0057028476148843765 0.10396893322467804 0.000386539613828063) | (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
| 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 | |
|---|---|---|---|---|
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 | 180 | 9 |
tan.f32 | (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) | cancellation | 170 | 18 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 192 | 64 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 192 | 10 | 54 |
| number | freq |
|---|---|
| 0 | 64 |
| 1 | 34 |
| 2 | 158 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 0 |
| 210.0ms | 512× | 0 | valid |
Compiled 2 564 to 132 computations (94.9% saved)
ival-mult: 45.0ms (32% of total)ival-div: 19.0ms (13.5% of total)ival-tan: 18.0ms (12.8% of total)ival-sin: 15.0ms (10.7% of total)ival-cos: 15.0ms (10.7% of total)ival-atan: 13.0ms (9.3% of total)ival-add: 7.0ms (5% of total)ival-sub: 3.0ms (2.1% of total)ival-sqrt: 3.0ms (2.1% of total)ival-pi: 2.0ms (1.4% of total)ival-true: 1.0ms (0.7% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)| 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 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphax alphax)) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))))) #s(literal -1 binary32)))) |
Compiled 88 to 32 computations (63.6% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
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 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphax alphax)) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))))) #s(literal -1 binary32)))) |
#s(literal 1 binary32) |
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))) |
(sqrt.f32 (-.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphax alphax)) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))))) #s(literal -1 binary32))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))) |
(-.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphax alphax)) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))))) #s(literal -1 binary32)) |
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)) |
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphax alphax)) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) |
(/.f32 u0 (fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphax alphax)) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphax alphax)) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))))) |
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))) |
(fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphax alphax)) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))) |
(/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) |
(*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphax alphax)) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) |
(*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) |
(*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) |
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) |
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) |
(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))) |
(atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) |
(*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) |
(*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) |
(/.f32 alphay alphax) |
alphay |
alphax |
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) |
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) |
(*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) |
(*.f32 #s(literal 2 binary32) (PI.f32)) |
(*.f32 (PI.f32) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(PI.f32) |
u1 |
(*.f32 #s(literal 1/2 binary32) (PI.f32)) |
#s(literal 1/2 binary32) |
(*.f32 alphax alphax) |
(/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)) |
(*.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) |
(*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) |
(*.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) |
(sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) |
(sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) |
(*.f32 alphay alphay) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.375 | (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) | |
| accuracy | 0.4928512695368841 | (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) | |
| accuracy | 11.75374956860611 | (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) | |
| accuracy | 12.238816896593006 | (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) |
| 75.0ms | 256× | 0 | valid |
Compiled 1 650 to 66 computations (96% saved)
ival-mult: 13.0ms (22.4% of total)ival-div: 10.0ms (17.2% of total)ival-tan: 9.0ms (15.5% of total)ival-cos: 8.0ms (13.8% of total)ival-sin: 7.0ms (12.1% of total)ival-add: 3.0ms (5.2% of total)ival-atan: 3.0ms (5.2% of total)ival-sqrt: 2.0ms (3.4% of total)ival-pi: 1.0ms (1.7% of total)ival-sub: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) |
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) |
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
(*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) |
(*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) |
| Outputs |
|---|
(/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) |
1 |
(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) |
(+ 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)))))))) |
(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))))))) |
(+ (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)))))) |
(+ (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)))))))))) |
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(* 1/2 (PI)) |
(+ (* 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 alphax 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)))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))) |
(+ (* u1 (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI))))) |
(+ (* u1 (- (+ (* 2 (PI)) (* 2 (/ (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (cos (* 1/2 (PI)))))) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI))))) |
(+ (* u1 (- (+ (* 2 (PI)) (* u1 (- (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* -2 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (cos (* 1/2 (PI)))))))) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI))))) |
(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)))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))) |
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1))))) |
(/ (* (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)) |
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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))))))) |
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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 (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 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (pow alphay 4) (* u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax 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(* (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 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 (* -1/2 (/ (* (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 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) |
(- (+ (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) |
(- (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8)))) (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) |
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(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (* 1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3)))))) |
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(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax 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u1 (PI))))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (- 1 u0)))) (/ (* (pow alphax 10) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 10) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))))) (pow alphay 6)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (pow alphay 4)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* 1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3)))))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | alphax | @ | -inf | ((+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))) |
| 19.0ms | alphax | @ | inf | ((+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))) |
| 15.0ms | u1 | @ | -inf | ((+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))) |
| 15.0ms | alphay | @ | inf | ((+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))) |
| 13.0ms | alphay | @ | -inf | ((+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 547 | 15643 |
| 1 | 1836 | 13063 |
| 0 | 8247 | 12189 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) |
1 |
(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) |
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))))) |
(+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))))) |
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(* 1/2 (PI)) |
(+ (* 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 alphax 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)))))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))) |
(+ (* u1 (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI))))) |
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(+ (* u1 (- (+ (* 2 (PI)) (* u1 (- (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* -2 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (cos (* 1/2 (PI)))))))) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI))))) |
(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)))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))) |
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1))))) |
(/ (* (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)) |
(+ 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 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)))) |
(- (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow 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 (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))))) |
(/ (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 (/ (* (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (pow alphax 4)) (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* 1/2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3))))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (pow alphay 4) (* u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax 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(* (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 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 (* -1/2 (/ (* (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 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) |
(- (+ (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) |
(- (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8)))) (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) |
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (* 1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (pow alphay 4)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* 1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3))))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0))))))))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (- 1 u0))))) (+ (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (- 1 u0)))) (/ (* (pow alphax 10) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 10) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))))) (pow alphay 6)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (pow alphay 4)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* 1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3)))))))) |
| Outputs |
|---|
(/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) |
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 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)))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)) |
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(fma.f32 (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32))))) u1 (/.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) |
(+ (* u1 (- (+ (* 2 (PI)) (* 2 (/ (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (cos (* 1/2 (PI)))))) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI))))) |
(fma.f32 (fma.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)))))) (/.f32 u1 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (PI.f32)) (*.f32 (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32))) #s(literal 2 binary32))) u1 (/.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) |
(+ (* u1 (- (+ (* 2 (PI)) (* u1 (- (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* -2 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (cos (* 1/2 (PI)))))))) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI))))) |
(fma.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32))) (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)))))) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32))) #s(literal -4 binary32) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32))))) (*.f32 (*.f32 #s(literal 4/3 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32))))))) u1 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32))))) (/.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) u1 (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)))))) u1 (/.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) |
(pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) |
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) |
(/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))) |
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(+ (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))) (/ (* alphay (* u1 (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) alphax)) |
(*.f32 alphay (fma.f32 (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32))))) (/.f32 u1 alphax) (/.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) alphax)))) |
(+ (* u1 (+ (* 2 (/ (* alphay (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) alphax))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI)))))) |
(fma.f32 (*.f32 u1 #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) u1) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)))))) (/.f32 alphay (*.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) alphax))) (*.f32 alphay (fma.f32 (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32))))) (/.f32 u1 alphax) (/.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) alphax))))) |
(+ (* u1 (+ (* u1 (+ (* 2 (/ (* alphay (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* alphax (cos (* 1/2 (PI)))))) (/ (* alphay (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))))) alphax))) (/ (* alphay (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) alphax))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI)))))) |
(fma.f32 (*.f32 u1 u1) (fma.f32 (*.f32 alphay u1) (/.f32 (-.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) #s(literal -4/3 binary32)) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32))) (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)))))) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32))) #s(literal -4 binary32) (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (PI.f32)) (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32))))) (*.f32 (*.f32 #s(literal 4/3 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32))) (/.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32))))))) alphax) (*.f32 (*.f32 #s(literal 2 binary32) (/.f32 alphay alphax)) (*.f32 (*.f32 (PI.f32) (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))))) (*.f32 alphay (fma.f32 (*.f32 #s(literal 2 binary32) (+.f32 (PI.f32) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32)) (PI.f32)) (pow.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 2 binary32))))) (/.f32 u1 alphax) (/.f32 (sin.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 (cos.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) alphax))))) |
(* 2 (* u1 (PI))) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) |
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI)))) |
(*.f32 (fma.f32 (/.f32 (PI.f32) u1) #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) (PI.f32))) u1) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(/.f32 (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) |
(/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))) |
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) |
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1))))) |
(*.f32 (neg.f32 u1) (fma.f32 (/.f32 (PI.f32) u1) #s(literal -1/2 binary32) (*.f32 #s(literal -2 binary32) (PI.f32)))) |
(/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) |
(/.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) |
(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) |
(*.f32 (-.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 alphax alphax) (/.f32 u0 (*.f32 alphay alphay))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))))) (*.f32 alphax alphax)) |
(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) (/ u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) |
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(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8)))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) (/ u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) |
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(/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)) |
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(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) |
(*.f32 (-.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 alphay alphay) (/.f32 u0 (*.f32 alphax alphax))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))))) (*.f32 alphay alphay)) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) |
(*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 alphay alphay) (/.f32 u0 (pow.f32 alphax #s(literal 4 binary32)))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 6 binary32)))) (*.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (*.f32 alphay alphay)) |
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(/ (+ (/ (* (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)) |
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binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) u0) (/.f32 (fma.f32 (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 alphax #s(literal 8 binary32)) u0) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 8 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (pow.f32 (fma.f32 (/.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32))) #s(literal -3/4 binary32) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 (pow.f32 alphax #s(literal 6 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 (fma.f32 (/.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (*.f32 (fma.f32 (/.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u0)))) (fma.f32 (/.f32 (*.f32 (*.f32 (pow.f32 alphax #s(literal 10 binary32)) u0) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 10 binary32)) (pow.f32 (fma.f32 (/.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32)))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 6 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) u0) (/.f32 (-.f32 (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 (pow.f32 alphax #s(literal 6 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 (fma.f32 (/.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32))) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 alphax #s(literal 8 binary32)) u0) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 8 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (pow.f32 (fma.f32 (/.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32)))) (*.f32 (fma.f32 (/.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u0)))) (/.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))))))) (pow.f32 alphay #s(literal 6 binary32))) (*.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 (pow.f32 alphax #s(literal 8 binary32)) u0) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 8 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (pow.f32 (fma.f32 (/.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32))) #s(literal -3/4 binary32) (/.f32 (/.f32 (/.f32 (*.f32 (*.f32 (pow.f32 alphax #s(literal 6 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 (fma.f32 (/.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)))) (pow.f32 alphay #s(literal 4 binary32))))) (fma.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (/.f32 (pow.f32 alphax #s(literal 4 binary32)) alphay) alphay)) (*.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 4 binary32))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (/.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32)))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 alphax alphax) (-.f32 #s(literal 1 binary32) u0)) (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) #s(literal 1 binary32)))))) |
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))))) |
| Outputs |
|---|
(*.f32 (-.f32 (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32) (*.f32 #s(literal -1/2 binary32) (PI.f32))))) |
(*.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 (*.f32 u1 (PI.f32)) #s(literal 2 binary32)) #s(literal 4 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))))) |
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(/.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (neg.f32 alphay)) (neg.f32 alphax)) |
(/.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 1 binary32)) (/.f32 alphax alphay)) |
(/.f32 (*.f32 (/.f32 alphay alphax) (+.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))))) |
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (cos.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))) |
(/.f32 (neg.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) alphay)) (neg.f32 alphax)) |
(/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (neg.f32 alphay)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (neg.f32 alphax))) |
(/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))) alphax)) |
(/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (/.f32 alphax alphay))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (neg.f32 alphay)) (*.f32 (cos.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (neg.f32 alphax))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) alphay) (*.f32 (cos.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) alphax)) |
(/.f32 (*.f32 (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) #s(literal 1 binary32)) (*.f32 (cos.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphax alphay))) |
(/.f32 (*.f32 (neg.f32 alphay) (+.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (*.f32 (neg.f32 alphax) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))))) |
(/.f32 (*.f32 (neg.f32 alphay) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (*.f32 (neg.f32 alphax) (cos.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))))) |
(/.f32 (*.f32 alphay (+.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (*.f32 alphax (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))))) |
(/.f32 (*.f32 alphay (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (*.f32 alphax (cos.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))))) |
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (*.f32 (/.f32 alphax alphay) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (tan.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))))) |
(/.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))))) (*.f32 (/.f32 alphax alphay) (cos.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))))) |
(/.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) alphay) alphax) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 alphax (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) alphay)))) |
(/.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphax alphay)) |
(/.f32 #s(literal 1 binary32) (/.f32 alphax (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) alphay))) |
(pow.f32 (/.f32 alphax (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) alphay)) #s(literal -1 binary32)) |
Compiled 86 298 to 7 914 computations (90.8% saved)
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 782 | 14 | 796 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 782 | 15 | 797 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 91.0% | (pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
| ▶ | 89.5% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
| 43.5% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 alphax #s(literal -2 binary32)) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) u0) (-.f32 #s(literal 1 binary32) u0))))) | |
| 57.9% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) alphay) (/.f32 #s(literal 1/2 binary32) alphay) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) u0) (-.f32 #s(literal 1 binary32) u0))))) | |
| 55.2% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1 binary32) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) u0) (-.f32 #s(literal 1 binary32) u0))))) | |
| 93.6% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) | |
| 93.2% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) | |
| 96.6% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32)))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) | |
| ✓ | 99.5% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
| ▶ | 98.2% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
| 97.8% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(approx (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) | |
| 97.7% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) | |
| 90.7% | (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal -2 binary32))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))))) #s(literal -1/2 binary32))) | |
| ▶ | 97.9% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
| ▶ | 92.1% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32)) |
Compiled 2 434 to 1 116 computations (54.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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))))) | |
| 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 | (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 | 192 | (+.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 | (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) | |
| cost-diff | 160 | (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) | |
| cost-diff | 192 | (+.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 | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay 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 | 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 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.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 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.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 | 7552 | (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 103 | 2500 |
| 0 | 174 | 2255 |
| 1 | 267 | 2077 |
| 2 | 362 | 2077 |
| 3 | 520 | 2077 |
| 4 | 1116 | 2077 |
| 5 | 2996 | 2077 |
| 6 | 7151 | 2077 |
| 0 | 8190 | 2070 |
| 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 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
#s(literal 1 binary32) |
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))) |
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) |
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay))) |
(/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (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 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.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 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) |
(sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(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))))))) |
(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 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32))))) |
(tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) |
#s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32))) |
(*.f32 (PI.f32) #s(literal 1/2 binary32)) |
(*.f32 alphay alphay) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
#s(literal 1 binary32) |
(sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))) |
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) |
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
(+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))) |
(pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) |
(/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) |
(sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) |
(atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) |
(*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)) |
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) |
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
#s(literal 1/2 binary32) |
(PI.f32) |
(*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) |
u1 |
(*.f32 (PI.f32) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(/.f32 alphay alphax) |
alphay |
alphax |
(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)))) |
(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) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 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) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
#s(literal 1 binary32) |
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))) |
(sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))) |
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)) |
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) |
(/.f32 u0 (fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 alphay alphay)) (sin.f32 (atan.f32 (*.f32 (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) |
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay))) |
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(pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)) |
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(*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) |
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) |
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) |
(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))) |
(atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) |
(*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) |
(*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) |
(/.f32 alphay alphax) |
alphay |
alphax |
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) |
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) |
(*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) |
(*.f32 #s(literal 2 binary32) (PI.f32)) |
(*.f32 (PI.f32) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(PI.f32) |
u1 |
(*.f32 #s(literal 1/2 binary32) (PI.f32)) |
#s(literal 1/2 binary32) |
(*.f32 alphax alphax) |
(/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)) |
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(*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(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 (sin.f32 (atan.f32 (*.f32 (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) |
(sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) |
(sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) |
(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))))))) |
(sin.f32 (atan.f32 (*.f32 (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)))) |
(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) |
(atan.f32 (*.f32 (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax))) |
(*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32))))) |
(*.f32 (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (/.f32 alphay alphax)) |
(tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
#s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32))) |
#s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
(*.f32 (PI.f32) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (PI.f32)) |
(*.f32 alphay alphay) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
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(/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 u0 #s(literal 1 binary32)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))))))) |
#s(literal 1 binary32) |
(sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))) |
(sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 u0 #s(literal 1 binary32)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))))))) |
(+.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) (/.f32 u0 (*.f32 (-.f32 u0 #s(literal 1 binary32)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))))) |
(/.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 (/.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 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))) |
(+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))) |
(pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) |
(pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) |
(/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) |
(/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) |
(sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) |
(sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) |
(atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) |
(atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) |
(*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)) |
(*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) |
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) |
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) |
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)) |
#s(literal 1/2 binary32) |
(PI.f32) |
(*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) |
u1 |
(*.f32 (PI.f32) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(/.f32 alphay alphax) |
alphay |
alphax |
(pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)) |
(pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)) |
(/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) |
(/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) |
(cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) |
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) |
(pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
(pow.f32 (-.f32 #s(literal 1 binary32) (/.f32 u0 (*.f32 (-.f32 u0 #s(literal 1 binary32)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))))) #s(literal -1/2 binary32)) |
(+.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) (/.f32 u0 (*.f32 (-.f32 u0 #s(literal 1 binary32)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))))) |
(/.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 (/.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) |
#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))) |
(+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32))) |
(pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) |
(pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) |
(/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) |
(/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) |
(sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) |
(sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) |
(atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) |
(atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) |
(*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)) |
(*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) |
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) |
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) |
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)) |
#s(literal 1/2 binary32) |
(PI.f32) |
(*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) |
u1 |
(*.f32 (PI.f32) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(/.f32 alphay alphax) |
alphay |
alphax |
(pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)) |
(pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)) |
(/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) |
(/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) |
(cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) |
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) |
#s(literal -1/2 binary32) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))) #s(literal 1 binary32))) |
#s(literal 1 binary32) |
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)) |
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))) #s(literal 1 binary32)) |
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) |
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))) |
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))) |
(+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay))) |
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) |
(/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) |
(pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) |
(pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) |
(sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) |
(sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) |
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) |
(atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) |
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) |
(*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) |
(*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) |
(*.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) |
(/.f32 alphay alphax) |
alphay |
alphax |
(sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) |
(sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) |
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))) |
(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)) |
(PI.f32) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) |
#s(literal 2 binary32) |
u1 |
#s(literal 1/2 binary32) |
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) |
(cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) |
(*.f32 alphay alphay) |
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) |
(/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) |
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) |
(pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) |
(cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) |
(cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) |
(*.f32 alphax alphax) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.4928512695368841 | (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) | |
| accuracy | 11.653066126816796 | (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) | |
| accuracy | 12.238816896593006 | (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) | |
| accuracy | 29.09822991147304 | (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) | |
| accuracy | 0.521816259768442 | (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) | |
| accuracy | 11.75374956860611 | (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) | |
| accuracy | 12.238816896593006 | (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) | |
| accuracy | 26.290785871358622 | (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) | |
| accuracy | 0.521816259768442 | (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) | |
| accuracy | 11.75374956860611 | (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) | |
| accuracy | 12.238816896593006 | (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) | |
| accuracy | 26.290785871358622 | (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) | |
| accuracy | 2.5421512731126006 | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32)) | |
| accuracy | 10.2681942141572 | #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32))) | |
| accuracy | 11.75374956860611 | (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) | |
| accuracy | 11.75374956860611 | (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) | |
| accuracy | 12.238816896593006 | (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) |
| 334.0ms | 256× | 0 | valid |
Compiled 4 956 to 180 computations (96.4% saved)
ival-cosu: 71.0ms (23.5% of total)ival-sin: 69.0ms (22.9% of total)ival-mult: 44.0ms (14.6% of total)ival-div: 27.0ms (9% of total)ival-cos: 21.0ms (7% of total)ival-tan: 17.0ms (5.6% of total)ival-pow2: 11.0ms (3.6% of total)ival-sinu: 10.0ms (3.3% of total)ival-add: 10.0ms (3.3% of total)ival-atan: 8.0ms (2.7% of total)ival-pow: 6.0ms (2% of total)ival-sqrt: 5.0ms (1.7% of total)ival-sub: 1.0ms (0.3% of total)ival-pi: 1.0ms (0.3% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) |
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) |
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32)) |
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
(sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))) |
(pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))) |
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)) |
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) |
(tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
#s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32))) |
(cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) |
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) |
(pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
(cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) |
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) |
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) |
| Outputs |
|---|
(/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) |
1 |
(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) |
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))))) |
(+ 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 (/ 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))))))) |
(+ 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 (- (/ 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)))) (* 1/4 (/ 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)))))) (* 1/2 (/ 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 (- (/ 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)))) (* 1/4 (/ 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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 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)))) (* 1/4 (/ 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))))))) (* 1/2 (/ 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 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 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 (* -1/2 (/ 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)))))))) |
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(* 1/2 (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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(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))) |
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(+ (* u1 (- (+ (* 2 (PI)) (* u1 (- (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* -2 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (cos (* 1/2 (PI)))))))) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI))))) |
(/ (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)) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(cos (* 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) |
(* 2 (* u1 (PI))) |
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI)))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(* 2 u1) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
(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 (* (PI) (- 1/2 (* -2 u1)))) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 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 (/ (* (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 alphax 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 (* -1/2 (/ (* (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 (/ (* (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 (* 1/2 (/ (* (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)))) (/ (* 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))))))) (* 1/2 (/ 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 (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))))) (* -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)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* (pow (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 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)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))))))) |
(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))) |
(* (pow alphax 2) (+ (* -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 (* -1/2 (/ (* (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)))))))))))) |
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(+ 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)))))) |
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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))))) |
(+ (/ 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) (+ (* -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 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 (* -1/2 (/ (* (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 (* (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 (* 1/2 (/ (* (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) (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))) (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))) (* -1/2 (/ (* u0 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* -1/2 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))))))) |
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))))))) |
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2)))))))) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
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(+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) |
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alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3)))))))) |
(/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (pow alphay 4))) (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (- 1 u0)))) (/ (* (pow alphax 10) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 10) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2)))))) (pow alphay 6))) (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2)))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))))) |
(+ 1 (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(- (+ 1 (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) |
(- (+ 1 (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 50.0ms | alphax | @ | inf | ((/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1))) (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1)) (pow (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1) -1/2) (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1)) (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (+ (* 2 u1) 1/2) (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) (cos (* (PI) (+ (* 2 u1) 1/2))) (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2)) |
| 34.0ms | alphay | @ | inf | ((/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1))) (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1)) (pow (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1) -1/2) (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1)) (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (+ (* 2 u1) 1/2) (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) (cos (* (PI) (+ (* 2 u1) 1/2))) (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2)) |
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| 19.0ms | alphax | @ | -inf | ((/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1) (+ (* 1/2 (PI)) (* u1 (* (PI) 2))) (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1))) (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1)) (pow (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1) -1/2) (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1)) (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))) (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (+ (* 2 u1) 1/2) (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) (cos (* (PI) (+ (* 2 u1) 1/2))) (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1394 | 50037 |
| 1 | 5472 | 49878 |
| 0 | 8416 | 46535 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) |
1 |
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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)) |
(* 1/2 (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)))))) |
(+ 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 (/ 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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(/ 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)))) |
(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))) |
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(+ (* u1 (- (+ (* 2 (PI)) (* u1 (- (* u1 (- (* -4/3 (pow (PI) 3)) (+ (* -4 (/ (* (pow (PI) 2) (* (pow (sin (* 1/2 (PI))) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (pow (cos (* 1/2 (PI))) 2))) (+ (* -2 (* (pow (PI) 2) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (* 4/3 (/ (* (pow (PI) 3) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))))) (* -2 (/ (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (PI)) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2)))))) (cos (* 1/2 (PI)))))))) (* -2 (/ (* (PI) (pow (sin (* 1/2 (PI))) 2)) (pow (cos (* 1/2 (PI))) 2))))) (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI))))) |
(/ (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)) |
(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)))))))) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
(* 2 (* u1 (PI))) |
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI)))) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
(* 2 u1) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
(cos (* (PI) (+ 1/2 (* 2 u1)))) |
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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 (/ 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)))) |
(cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (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 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 alphax 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)) |
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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 (/ (* (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 (* 1/2 (/ (* (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)))) (/ (* 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))))))) (* 1/2 (/ 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 (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))))) (* -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)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* (pow (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 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)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))))))) |
(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))) |
(* (pow alphax 2) (+ (* -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 (* -1/2 (/ (* (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 (/ (* (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 (/ (* (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)))))) |
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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 alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))) |
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(/ 1 (+ 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) (+ (* -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 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 (* -1/2 (/ (* (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 (* (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 (* 1/2 (/ (* (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) (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))) (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))) (* -1/2 (/ (* u0 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* -1/2 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))))))) |
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))))))) |
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2)))))))) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(+ 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 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) |
(- (+ (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) |
(- (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8)))) (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) |
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
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alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3)))))))) |
(/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (pow alphay 4))) (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (- 1 u0)))) (/ (* (pow alphax 10) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 10) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2)))))) (pow alphay 6))) (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2)))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))))) |
(+ 1 (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(- (+ 1 (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) |
(- (+ 1 (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) |
| Outputs |
|---|
(/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) |
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) |
(fma.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal -1/2 binary32) #s(literal 1 binary32)) |
(+ 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)))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u0) (-.f32 (/.f32 #s(literal 3/4 binary32) (pow.f32 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))) #s(literal 2 binary32))) (/.f32 #s(literal 1 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 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) (/.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) u0 #s(literal 1 binary32)) |
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(+ 1 (* u0 (+ (* u0 (+ (* 1/2 (* 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)))) (* 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)))) (* 1/4 (/ 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 (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 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)))) (* 1/4 (/ 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))))))) (* 1/2 (/ 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 (+ (/ 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)))))) |
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(* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) |
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(* u0 (+ (* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) |
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(* 1/2 (PI)) |
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(cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) |
(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))))))) |
(/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))) |
(/.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
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(/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)) |
(/.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)) |
1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 2 u1)) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
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(cos (* 1/2 (PI))) |
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(pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) |
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(* 2 (* u1 (PI))) |
(*.f32 (*.f32 (PI.f32) u1) #s(literal 2 binary32)) |
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI)))) |
(*.f32 (fma.f32 (/.f32 (PI.f32) u1) #s(literal 1/2 binary32) (*.f32 (PI.f32) #s(literal 2 binary32))) u1) |
(/ (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) |
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(* 2 u1) |
(*.f32 #s(literal 2 binary32) u1) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
(*.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u1) #s(literal 2 binary32)) u1) |
(cos (* (PI) (+ 1/2 (* 2 u1)))) |
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) |
(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1))))) |
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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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(+ 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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(cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) |
(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 (* (PI) (- 1/2 (* -2 u1)))) |
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) |
(pow (cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2) |
(pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) |
(/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) |
(/.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) |
(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) |
(*.f32 (-.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (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) (*.f32 alphay alphay)) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) u0) (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 alphax alphax)) |
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(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))) |
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(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
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(* (pow 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))))) |
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(+ 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)))))) |
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(+ 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)))))) |
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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)))) |
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(+ 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)))))) |
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(+ 1 (* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 alphay #s(literal 4 binary32)))) (*.f32 (/.f32 u0 (*.f32 alphay alphay)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphax alphax) (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphax alphax) #s(literal 1 binary32)) |
(/ (* (pow alphay 2) u0) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) |
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(+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) |
(fma.f32 (/.f32 (*.f32 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)) |
(+ 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))))) |
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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))))) |
(-.f32 (+.f32 (fma.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 (*.f32 (pow.f32 alphay #s(literal 6 binary32)) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 alphax #s(literal 4 binary32))))) #s(literal 1 binary32)) (/.f32 (*.f32 (*.f32 (pow.f32 alphay #s(literal 4 binary32)) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0)) (*.f32 alphax alphax)))) |
(- (+ 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)))))) |
(-.f32 (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (pow.f32 alphay #s(literal 8 binary32)) 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 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 8 binary32)) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 alphax #s(literal 6 binary32))))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) (-.f32 (/.f32 (*.f32 (*.f32 (pow.f32 alphay #s(literal 4 binary32)) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0)) (*.f32 alphax alphax))) (/.f32 (*.f32 (*.f32 (pow.f32 alphay #s(literal 6 binary32)) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 alphax #s(literal 4 binary32)))))) |
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) |
(*.f32 (-.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (/.f32 (*.f32 alphay alphay) (*.f32 alphax alphax)) (/.f32 (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))))) (*.f32 alphay alphay)) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) |
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(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8)))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) |
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(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
(fma.f32 (-.f32 (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0)) (*.f32 alphax alphax)))) (*.f32 alphay alphay) #s(literal 1 binary32)) |
(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
(fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 alphax #s(literal 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)) |
(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(fma.f32 (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal 1/2 binary32) #s(literal 1 binary32)) |
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))) (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alphay alphay)) (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 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 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 #s(literal 1/4 binary32) (*.f32 u0 u0)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32)) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))))) (/.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 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (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)) |
(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))) (* -1/2 (/ (* u0 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* -1/2 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (fma.f32 (*.f32 u0 (/.f32 (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 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 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 #s(literal 1/4 binary32) (*.f32 u0 u0)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32)) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 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 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32) (*.f32 (neg.f32 (/.f32 u0 (pow.f32 alphax #s(literal 4 binary32)))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphay alphay) (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 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 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 #s(literal 1/4 binary32) (*.f32 u0 u0)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32)) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))))))) (*.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 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphay alphay) #s(literal 1 binary32)) |
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(*.f32 (-.f32 (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0)) (*.f32 alphax alphax)))) (*.f32 alphay alphay)) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(*.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 alphax #s(literal 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)) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
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(+ 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))))) |
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(+ 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))))))) |
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(+ 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)))))))))))) |
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(+ 1 (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
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(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
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(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
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(+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ (* (pow alphax 2) u0) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) |
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alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 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 alphay #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (pow.f32 (fma.f32 (/.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (/.f32 (/.f32 (*.f32 (*.f32 (pow.f32 alphax #s(literal 8 binary32)) (*.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 alphay #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 8 binary32)) (pow.f32 (fma.f32 (/.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))))) (/.f32 (/.f32 (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 alphay alphay)) (*.f32 (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (pow.f32 (fma.f32 (/.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))))) |
(+ 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))))) |
(+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0)) (*.f32 alphay alphay)))) (*.f32 (/.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) |
(- (+ 1 (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) |
(-.f32 (+.f32 (fma.f32 (/.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 (*.f32 (pow.f32 alphax #s(literal 6 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 alphay #s(literal 4 binary32))))) #s(literal 1 binary32)) (/.f32 (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0)) (*.f32 alphay alphay)))) |
(- (+ 1 (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) |
(-.f32 (+.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (pow.f32 alphax #s(literal 8 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32))) (*.f32 (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 alphay #s(literal 6 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 (pow.f32 alphax #s(literal 4 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0)) (*.f32 alphay alphay))) (/.f32 (*.f32 (*.f32 (pow.f32 alphax #s(literal 6 binary32)) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 alphay #s(literal 4 binary32)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 1045 |
| 0 | 166 | 873 |
| 1 | 641 | 743 |
| 2 | 5874 | 743 |
| 0 | 9217 | 741 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) |
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) |
(+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32)) |
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
(sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))) |
(pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))) |
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)) |
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) |
(tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
#s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32))) |
(cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) |
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) |
(pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
(cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) |
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) |
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) |
| Outputs |
|---|
(*.f32 (pow.f32 (/.f32 (*.f32 alphax alphax) (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))) #s(literal -1 binary32)) #s(literal 1/2 binary32)) |
(*.f32 (pow.f32 (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -1/2 binary32)) #s(literal 2 binary32))) |
(*.f32 (pow.f32 (neg.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal 2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 alphax)) #s(literal 2 binary32))) |
(*.f32 (pow.f32 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) alphax)) |
(*.f32 (pow.f32 (exp.f32 (log.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax))) #s(literal 1 binary32)) (pow.f32 (exp.f32 (log.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) alphax) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) alphax)) |
(*.f32 (pow.f32 (neg.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 alphax) alphax)) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (pow.f32 alphax #s(literal -2 binary32)) #s(literal 1 binary32)) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) |
(*.f32 (pow.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (pow.f32 alphax #s(literal -2 binary32))) #s(literal 1 binary32)) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) |
(*.f32 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) (/.f32 #s(literal 1 binary32) alphax)) |
(*.f32 (exp.f32 (log.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax))) (exp.f32 (log.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax)))) |
(*.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (pow.f32 alphax #s(literal -2 binary32))) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) |
(*.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) alphax) (/.f32 #s(literal 1 binary32) alphax)) |
(*.f32 (/.f32 #s(literal 1 binary32) alphax) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) alphax)) |
(*.f32 (pow.f32 alphax #s(literal -2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal -1 binary32))) |
(*.f32 (pow.f32 alphax #s(literal -2 binary32)) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) |
(*.f32 (neg.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 alphax) alphax))) |
(*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax)) |
(*.f32 #s(literal 1 binary32) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) |
(*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (pow.f32 (pow.f32 alphax #s(literal -2 binary32)) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (pow.f32 alphax #s(literal -2 binary32))) |
(*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) alphax) (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax)) #s(literal 1 binary32))) |
(*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (pow.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (pow.f32 alphax #s(literal -2 binary32))) #s(literal 1 binary32))) |
(*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 (/.f32 #s(literal 1 binary32) alphax) (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax))) |
(*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (pow.f32 alphax #s(literal -2 binary32)))) |
(/.f32 (*.f32 (neg.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax)) (neg.f32 alphax)) |
(/.f32 (*.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 alphax #s(literal -2 binary32))) #s(literal 2 binary32)) |
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (pow.f32 alphax #s(literal -2 binary32)))) (sqrt.f32 (+.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) (neg.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))) (neg.f32 alphax)) |
(/.f32 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 1 binary32)) (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))) |
(/.f32 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) alphax) |
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(-.f32 (*.f32 (cos.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) (*.f32 (sin.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))))) |
(fma.f32 (cos.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -2 binary32) (*.f32 u1 (PI.f32)))))) (cos.f32 (/.f32 (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -2 binary32) (*.f32 u1 (PI.f32)))))) (*.f32 (sin.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -2 binary32) (*.f32 u1 (PI.f32)))))) (sin.f32 (/.f32 (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -2 binary32) (*.f32 u1 (PI.f32)))))))) |
(fma.f32 (cos.f32 (/.f32 (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32)) (fma.f32 (*.f32 u1 (PI.f32)) #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (PI.f32))))) (cos.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 u1 (PI.f32)) #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (PI.f32))))) (*.f32 (sin.f32 (/.f32 (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32)) (fma.f32 (*.f32 u1 (PI.f32)) #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (PI.f32))))) (sin.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 u1 (PI.f32)) #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (PI.f32))))))) |
(+.f32 (*.f32 (cos.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -2 binary32) (*.f32 u1 (PI.f32)))))) (cos.f32 (/.f32 (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -2 binary32) (*.f32 u1 (PI.f32))))))) (*.f32 (sin.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -2 binary32) (*.f32 u1 (PI.f32)))))) (sin.f32 (/.f32 (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 #s(literal -2 binary32) (*.f32 u1 (PI.f32)))))))) |
(+.f32 (*.f32 (cos.f32 (/.f32 (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32)) (fma.f32 (*.f32 u1 (PI.f32)) #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (PI.f32))))) (cos.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 u1 (PI.f32)) #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (PI.f32)))))) (*.f32 (sin.f32 (/.f32 (pow.f32 (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) #s(literal 2 binary32)) (fma.f32 (*.f32 u1 (PI.f32)) #s(literal 2 binary32) (*.f32 #s(literal -1/2 binary32) (PI.f32))))) (sin.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 u1 (PI.f32)) #s(literal 2 binary32) (*.f32 #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 (pow.f32 (exp.f32 (log.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))) #s(literal 1 binary32)) (pow.f32 (exp.f32 (log.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)) #s(literal 1/2 binary32)) |
(*.f32 (pow.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 1/2 binary32)) #s(literal 2 binary32))) |
(*.f32 (exp.f32 (log.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))) (exp.f32 (log.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))))) |
(*.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 1/2 binary32)) |
(*.f32 #s(literal 1 binary32) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) |
(*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) |
(/.f32 (-.f32 #s(literal 1/4 binary32) (*.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))) (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) |
(/.f32 (+.f32 #s(literal 1/8 binary32) (*.f32 (pow.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1/8 binary32))) (+.f32 #s(literal 1/4 binary32) (-.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32))) (*.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)))))) |
(/.f32 (neg.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))) #s(literal -2 binary32)) |
(/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 1 binary32)) (sqrt.f32 (+.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32)))) |
(/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 2 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (+.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))))) |
(/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (sqrt.f32 (+.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32)))) |
(fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) |
(fma.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) |
(pow.f32 (/.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32))) #s(literal -1 binary32)) |
(pow.f32 (*.f32 (sqrt.f32 (+.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (sqrt.f32 (+.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (exp.f32 (log.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))))) #s(literal 2 binary32)) |
(pow.f32 (sqrt.f32 (+.f32 (pow.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal -2 binary32)) |
(pow.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) #s(literal 1 binary32)) |
(pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) |
(+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) |
(+.f32 #s(literal 1/2 binary32) (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32))) |
(exp.f32 (*.f32 (log.f32 (exp.f32 (log.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32))) #s(literal 1 binary32))) |
(exp.f32 (*.f32 (log.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal 2 binary32))) |
Compiled 165 514 to 8 558 computations (94.8% saved)
27 alts after pruning (22 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 191 | 19 | 1 210 |
| Fresh | 6 | 3 | 9 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 198 | 27 | 1 225 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 90.9% | (pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
| 86.0% | (pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) | |
| ✓ | 89.5% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
| 92.9% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) | |
| 97.7% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 u0 (*.f32 (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))) | |
| 57.2% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (*.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 3 binary32)))) (+.f32 (fma.f32 u0 u0 u0) #s(literal 1 binary32))) #s(literal 1 binary32)))) | |
| ▶ | 97.7% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
| 58.3% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) alphay) (/.f32 #s(literal 1/2 binary32) alphay) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) u0) (-.f32 #s(literal 1 binary32) u0))))) | |
| ▶ | 93.6% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
| 93.2% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) | |
| ✓ | 99.5% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
| ✓ | 98.2% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
| 98.2% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) | |
| 97.7% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) | |
| 94.8% | (/.f32 #s(literal 1 binary32) (sqrt.f32 #s(approx (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1) (+.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) | |
| ▶ | 97.9% | (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)))) |
| 91.7% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) | |
| 93.4% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) | |
| 98.1% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) | |
| ▶ | 93.2% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
| 97.9% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) | |
| 94.1% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) | |
| ▶ | 98.7% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
| 92.8% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) | |
| 56.8% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (/.f32 (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal 1/8 binary32)) (fma.f32 (pow.f32 u1 #s(literal 2 binary32)) #s(literal 4 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1 binary32)))))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) | |
| 95.0% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 #s(approx (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1)) (-.f32 #s(literal 1 binary32) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))))))) | |
| ✓ | 92.1% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32)) |
Compiled 5 447 to 2 529 computations (53.6% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #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) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #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) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #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) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) | |
| 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 | 7552 | (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay 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 | 0 | (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) | |
| cost-diff | 0 | (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))) | |
| cost-diff | 0 | (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)))) | |
| cost-diff | 0 | #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) | |
| cost-diff | 0 | (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) | |
| cost-diff | 0 | (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) | |
| cost-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: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 156 | 3252 |
| 0 | 267 | 3011 |
| 1 | 407 | 2931 |
| 2 | 560 | 2931 |
| 3 | 913 | 2931 |
| 4 | 2108 | 2931 |
| 5 | 5003 | 2931 |
| 0 | 8323 | 2931 |
| 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) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
#s(literal 1 binary32) |
(sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))) |
(+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) |
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) |
(*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) |
(/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) |
(*.f32 alphay alphay) |
alphay |
(pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) |
(sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) |
(atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) |
(*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) |
(/.f32 alphay alphax) |
alphax |
(/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) |
(sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) |
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
#s(literal 2 binary32) |
u1 |
#s(literal 1/2 binary32) |
(PI.f32) |
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) |
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))) |
#s(literal 1 binary32) |
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)) |
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) |
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
(+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) |
(pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) |
(/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) |
alphay |
(sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) |
(atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) |
(*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) |
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) |
(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)) |
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) |
u1 |
#s(literal 2 binary32) |
#s(literal 1/2 binary32) |
(PI.f32) |
(/.f32 alphay alphax) |
alphax |
#s(literal -2 binary32) |
(pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) |
(/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) |
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
#s(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)))) |
(+.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))) |
(/.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)) |
(*.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) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))) |
#s(literal 1 binary32) |
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)) |
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) |
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))) |
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) |
(pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) |
(sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) |
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) |
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) |
(*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) |
(/.f32 alphay alphax) |
alphay |
alphax |
(sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) |
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))) |
(PI.f32) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
#s(literal 2 binary32) |
u1 |
#s(literal 1/2 binary32) |
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) |
(*.f32 alphay alphay) |
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) |
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) |
(cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) |
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)))))) |
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))) |
(cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)))) |
(*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))) |
#s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) |
(*.f32 #s(literal 2 binary32) u1) |
(*.f32 alphax alphax) |
| Outputs |
|---|
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))) #s(literal 1 binary32))) |
#s(literal 1 binary32) |
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)) |
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))) #s(literal 1 binary32)) |
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) |
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))) |
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.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 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay))) |
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) |
(/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) |
(pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) |
(pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) |
(sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) |
(sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) |
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))))) |
(atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) |
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) |
(*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) |
(*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) |
(*.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) |
(/.f32 alphay alphax) |
alphay |
alphax |
(sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) |
(sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) |
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))) |
(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)) |
(PI.f32) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) |
#s(literal 2 binary32) |
u1 |
#s(literal 1/2 binary32) |
(cos.f32 (*.f32 (PI.f32) (+.f32 (*.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 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))) |
(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)) |
(+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)) |
(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) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) |
(/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) |
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) |
(pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) |
(cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) |
(cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) |
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) |
(atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) |
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) |
(*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) |
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) |
(cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) |
(*.f32 alphax alphax) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (*.f32 (*.f32 (/.f32 alphay (-.f32 #s(literal 1 binary32) u0)) alphay) u0) (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)))) #s(literal 1 binary32)))) |
#s(literal 1 binary32) |
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#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) |
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(*.f32 alphay alphay) |
alphay |
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(/.f32 alphay alphax) |
alphax |
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(sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) |
(sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) |
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)) |
(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) |
#s(literal 2 binary32) |
u1 |
#s(literal 1/2 binary32) |
(PI.f32) |
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) |
(cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) |
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
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#s(literal 1 binary32) |
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(/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
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(pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) |
(/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) |
alphay |
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(atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) |
(*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) |
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) |
(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)) |
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) |
u1 |
#s(literal 2 binary32) |
#s(literal 1/2 binary32) |
(PI.f32) |
(/.f32 alphay alphax) |
alphax |
#s(literal -2 binary32) |
(pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) |
(/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) |
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) |
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#s(literal 1 binary32) |
(sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))) |
(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)) (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 #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))) |
(+.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)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) #s(literal 1 binary32)) |
(/.f32 (*.f32 (/.f32 #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)) |
(/.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)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) |
(*.f32 (/.f32 #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 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)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (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 #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)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) |
(+.f32 (/.f32 (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))) |
(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)) (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 (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 (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 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) |
(fma.f32 (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 (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))) |
(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 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32)) |
(*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)) |
(atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) |
(atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) |
(*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)) |
(*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) |
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) |
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) |
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)) |
#s(literal 1/2 binary32) |
(PI.f32) |
(*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))) |
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) |
u1 |
(*.f32 (PI.f32) #s(literal 2 binary32)) |
#s(literal 2 binary32) |
(/.f32 alphay alphax) |
alphay |
alphax |
(*.f32 alphax alphax) |
(/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)) |
(pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (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 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) |
(*.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) |
(sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) |
(sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) |
(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))) |
(atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) |
(*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))) |
(*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) |
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) |
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) |
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) |
(*.f32 #s(literal 2 binary32) (PI.f32)) |
(*.f32 (PI.f32) #s(literal 2 binary32)) |
(*.f32 #s(literal 1/2 binary32) (PI.f32)) |
(*.f32 (PI.f32) #s(literal 1/2 binary32)) |
(*.f32 alphay alphay) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (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 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) alphax) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 u1 #s(literal 2 binary32))) (PI.f32)))) alphay))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) alphax) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 u1 #s(literal 2 binary32))) (PI.f32)))) alphay))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) alphax) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 u1 #s(literal 2 binary32))) (PI.f32)))) alphay))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))) #s(literal 1 binary32))) |
#s(literal 1 binary32) |
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)) |
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) alphax) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 u1 #s(literal 2 binary32))) (PI.f32)))) alphay))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))) #s(literal 1 binary32)) |
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) |
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) alphax) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 u1 #s(literal 2 binary32))) (PI.f32)))) alphay))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))) |
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))) |
(+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) alphax) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 u1 #s(literal 2 binary32))) (PI.f32)))) alphay))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay))) |
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) |
(/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) |
(pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) |
(pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) |
(sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) |
(sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) |
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) |
(atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) |
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) |
(*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) |
(*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) |
(*.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) |
(/.f32 alphay alphax) |
alphay |
alphax |
(sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) |
(sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) |
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))) |
(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)) |
(PI.f32) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) |
#s(literal 2 binary32) |
u1 |
#s(literal 1/2 binary32) |
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) |
(cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) |
(*.f32 alphay alphay) |
(/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) |
(/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) alphax) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 u1 #s(literal 2 binary32))) (PI.f32)))) alphay))) #s(literal 2 binary32)) (*.f32 alphax alphax)) |
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) |
(pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) alphax) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 u1 #s(literal 2 binary32))) (PI.f32)))) alphay))) #s(literal 2 binary32)) |
(cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) |
(cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) alphax) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 u1 #s(literal 2 binary32))) (PI.f32)))) alphay))) |
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)))))) |
(atan.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) alphax) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 u1 #s(literal 2 binary32))) (PI.f32)))) alphay)) |
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))) |
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) alphax) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 u1 #s(literal 2 binary32))) (PI.f32)))) alphay) |
(cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)))) |
(cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 u1 #s(literal 2 binary32))) (PI.f32))) |
(*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))) |
(*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 u1 #s(literal 2 binary32))) (PI.f32)) |
#s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) |
#s(approx (+ (* 2 u1) 1/2) (*.f32 u1 #s(literal 2 binary32))) |
(*.f32 #s(literal 2 binary32) u1) |
(*.f32 u1 #s(literal 2 binary32)) |
(*.f32 alphax alphax) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 11.653066126816796 | (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)))) | |
| accuracy | 12.238816896593006 | (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) | |
| accuracy | 26.294563587428076 | #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) | |
| accuracy | 28.216172081149864 | (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) | |
| accuracy | 11.75374956860611 | (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) | |
| accuracy | 11.75374956860611 | (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) | |
| accuracy | 26.290785871358622 | (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) | |
| accuracy | 26.81479185599024 | (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) | |
| accuracy | 0.4958000488422101 | (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) | |
| accuracy | 9.870491524916483 | (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) | |
| accuracy | 11.75374956860611 | (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) | |
| accuracy | 12.238816896593006 | (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) | |
| accuracy | 0.375 | (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) | |
| accuracy | 6.781728412069766 | #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) | |
| accuracy | 11.653066126816796 | (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) | |
| accuracy | 27.408579393465786 | (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) | |
| accuracy | 11.653066126816796 | (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) | |
| accuracy | 11.653066126816796 | (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))) | |
| accuracy | 12.238816896593006 | (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) | |
| accuracy | 25.901691983047574 | (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
| 675.0ms | 252× | 0 | valid |
| 11.0ms | 4× | 1 | valid |
Compiled 6 383 to 280 computations (95.6% saved)
ival-mult: 321.0ms (51.9% of total)ival-sin: 60.0ms (9.7% of total)ival-div: 56.0ms (9% of total)ival-cos: 36.0ms (5.8% of total)ival-cosu: 22.0ms (3.6% of total)ival-pow2: 22.0ms (3.6% of total)ival-tan: 20.0ms (3.2% of total)ival-add: 19.0ms (3.1% of total)ival-atan: 15.0ms (2.4% of total)ival-sqrt: 14.0ms (2.3% of total)ival-sinu: 11.0ms (1.8% of total)ival-tanu: 11.0ms (1.8% of total)ival-pow: 7.0ms (1.1% of total)adjust: 1.0ms (0.2% of total)ival-sub: 1.0ms (0.2% of total)ival-pi: 1.0ms (0.2% of total)exact: 1.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))) |
(+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) |
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))) |
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)) |
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) |
(/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)) |
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) |
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))) |
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
(cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) |
(cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))) |
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) |
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) |
(*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) |
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) |
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) |
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) |
(pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) |
(fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) |
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) |
#s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) |
(cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) |
(cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)))) |
| Outputs |
|---|
1 |
(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) |
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))))) |
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(- (+ 1 (* -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 (* (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)))))))) 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))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))) |
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1/2 |
(+ 1/2 (* 2 u1)) |
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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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(+ 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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(/ (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 (PI)) |
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(cos (* 1/2 (PI))) |
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(/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))) |
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(* 2 u1) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
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(+ 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)))) (/ (* 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))))))) (* 1/2 (/ 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 (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))))) (* -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)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* (pow (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 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)))) (/ (* 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 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 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) |
(+ 1 (* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) |
(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(/ (* (pow alphax 2) u0) (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) |
(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 2)))) (/ u0 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) |
(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 3))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 2))))) (/ u0 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) |
(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 4)))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 3)))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 2))))) (/ u0 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) |
(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)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (* 1/2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (pow alphax 4)) (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* 1/2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3))))))) |
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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) (- 1 u0))) |
(+ (* -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) (- 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 (+ (* 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 alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) |
(- (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow 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 (+ (* 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 alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) |
(+ 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)))))) |
(/ (* (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))))) |
(+ 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 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))))))) |
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2)))))))) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(+ 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) (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))) (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))) (* -1/2 (/ (* u0 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* -1/2 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))))))) |
(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)) (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8))) (* -1 (/ (* u0 (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))))) (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) |
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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))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) |
(- (+ 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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 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))))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) |
(+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) |
(- (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) |
(- (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 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)))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) |
(+ 1 (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(- (+ 1 (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) |
(- (+ 1 (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) |
(+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) |
(- (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) |
(- (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) |
(/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) |
(+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2)))) (/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))))) |
(- (+ (/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2)))) |
(- (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)) (* (pow alphay 6) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4)))) (/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))))) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
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| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1499 | 54334 |
| 1 | 5851 | 54165 |
| 0 | 8101 | 50536 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
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(- (+ 1 (* -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 (* (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))))))))) 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))) (/ 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 (* (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))))))))) 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)) (/ 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 (* 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 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)))))))) 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))) (/ 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 (* (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)))))))) 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)) (/ 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 (* 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 (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (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))))) |
(sqrt (+ 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))) |
(+ 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))) |
(/ (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 (PI)) |
(+ (* 1/2 (PI)) (* 2 (* u1 (PI)))) |
(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)))))))) |
(/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))) |
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(/ (sin (* 1/2 (PI))) (cos (* 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 alphax 2)) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) |
(* 2 u1) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
(* 2 (* u1 (PI))) |
(* u1 (+ (* 1/2 (/ (PI) u1)) (* 2 (PI)))) |
(cos (* (PI) (+ 1/2 (* 2 u1)))) |
(/ (* 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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))) (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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(/ 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 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1))))) |
(cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) |
(cos (* (PI) (- 1/2 (* -2 u1)))) |
(/ (* 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))))) |
(/ (pow (cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2) (pow alphax 2)) |
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(+ 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)))))) |
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(+ 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)))) (/ (* 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))))))) (* 1/2 (/ 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 (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))))) (* -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)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* (pow (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 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)))) (/ (* 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 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 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) |
(+ 1 (* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) |
(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(/ (* (pow alphax 2) u0) (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) |
(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 2)))) (/ u0 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) |
(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 3))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 2))))) (/ u0 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) |
(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 4)))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 3)))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))))) 2))))) (/ u0 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))))) |
(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)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (* 1/2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (pow alphax 4)) (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* 1/2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3))))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (pow alphay 4) (* u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) 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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))))) |
(- (+ 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)))))) |
(/ (* (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))))) |
(+ 1 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
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(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ 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 (* -1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2))))))))) (* -1/2 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))))))) |
(+ 1 (* -1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
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(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))) (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))) (* -1/2 (/ (* u0 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* -1/2 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))))))) |
(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)) (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8))) (* -1 (/ (* u0 (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))))) (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) |
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (* 1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (pow alphay 4)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* 1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3))))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0))))))))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (- 1 u0))))) (+ (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* 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(+ 1 (+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(- (+ 1 (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) |
(- (+ 1 (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) |
(+ (* -1 (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) |
(- (+ (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) |
(- (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* -1 (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))) (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) |
(/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) |
(+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2)))) (/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))))) |
(- (+ (/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2)))) |
(- (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)) (* (pow alphay 6) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4)))) (/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))))) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary32) |
(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) |
(fma.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal -1/2 binary32) #s(literal 1 binary32)) |
(+ 1 (* u0 (- (* 1/2 (* u0 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u0) (-.f32 (/.f32 #s(literal 3/4 binary32) (pow.f32 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))) #s(literal 2 binary32))) (/.f32 #s(literal 1 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 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) (/.f32 #s(literal -1/2 binary32) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) u0 #s(literal 1 binary32)) |
(+ 1 (* u0 (- (* u0 (+ (* 1/2 (* u0 (- (* 2 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (+ (* -1/2 (/ (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))))) (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 3))))))) (* 1/2 (- (* 3/4 (/ 1 (pow (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2))) 2))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))))) (* 1/2 (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) (fma.f32 (-.f32 (/.f32 #s(literal 2 binary32) (pow.f32 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))) #s(literal 2 binary32))) (fma.f32 (/.f32 (-.f32 (/.f32 #s(literal 3/4 binary32) (pow.f32 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 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(+ 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))))))) |
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(+ 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))))))) |
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(* 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)))))) |
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(* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) |
(*.f32 (fma.f32 (+.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) (/.f32 #s(literal 1 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 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) u0 (/.f32 #s(literal 1 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 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) u0) |
(* 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)))))) |
(*.f32 (fma.f32 (fma.f32 (+.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) (/.f32 #s(literal 1 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 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) u0 (/.f32 #s(literal 1 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 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) u0 (/.f32 #s(literal 1 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 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) u0) |
(+ 1 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))) |
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(+ 1 (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))))) |
(fma.f32 (+.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) (/.f32 #s(literal 1 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 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) u0 #s(literal 1 binary32)) |
(+ 1 (* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))))) |
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(/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))) |
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) |
(* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))) |
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(* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))))) |
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(* u0 (+ (* 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)))))) |
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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))))) |
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1/2 |
#s(literal 1/2 binary32) |
(+ 1/2 (* 2 u1)) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
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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))) (- 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))) |
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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 alphay 2)) |
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(* 1/2 (PI)) |
(*.f32 #s(literal 1/2 binary32) (PI.f32)) |
(+ (* 1/2 (PI)) (* 2 (* u1 (PI)))) |
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
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(cos (* 1/2 (PI))) |
(cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
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(/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI))))) |
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(+ (* u1 (- (* 2 (/ (* alphay (PI)) alphax)) (* -2 (/ (* alphay (* (PI) (pow (sin (* 1/2 (PI))) 2))) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI)))))) |
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(+ (* u1 (- (+ (* 2 (/ (* alphay (PI)) alphax)) (* 2 (/ (* u1 (* (PI) (* (sin (* 1/2 (PI))) (- (* 2 (/ (* alphay (PI)) alphax)) (* -2 (/ (* alphay (* (PI) (pow (sin (* 1/2 (PI))) 2))) (* alphax (pow (cos (* 1/2 (PI))) 2)))))))) (cos (* 1/2 (PI)))))) (* -2 (/ (* alphay (* (PI) (pow (sin (* 1/2 (PI))) 2))) (* alphax (pow (cos (* 1/2 (PI))) 2)))))) (/ (* alphay (sin (* 1/2 (PI)))) (* alphax (cos (* 1/2 (PI)))))) |
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(/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))) |
(/.f32 (sin.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32))) (cos.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
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(* 2 u1) |
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(cos (* (PI) (+ 1/2 (* 2 u1)))) |
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(* -1 (* u1 (+ (* -2 (PI)) (* -1/2 (/ (PI) u1))))) |
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(cos (* (PI) (- 1/2 (* -2 u1)))) |
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(/ (sin (* (PI) (- 1/2 (* -2 u1)))) (cos (* (PI) (- 1/2 (* -2 u1))))) |
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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 (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))))) (* -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)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* (pow (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 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)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))))))) |
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(+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) |
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(+ 1 (* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
(fma.f32 (-.f32 (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphax alphax) #s(literal 1 binary32)) |
(+ 1 (* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 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)))))) |
(fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 alphay #s(literal 4 binary32)) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (*.f32 alphay alphay)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphax alphax) (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphax alphax) #s(literal 1 binary32)) |
(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))) |
(*.f32 (/.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) |
(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(*.f32 (-.f32 (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphax alphax)) |
(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(*.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 alphay #s(literal 4 binary32)) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (*.f32 alphay alphay)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphax alphax) (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphax alphax)) |
(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 (neg.f32 (/.f32 (*.f32 alphax alphax) (pow.f32 alphay #s(literal 6 binary32)))) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (pow.f32 alphay #s(literal 4 binary32))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphax alphax) (*.f32 (neg.f32 (/.f32 u0 (*.f32 alphay alphay))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphax alphax) (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphax alphax)) |
(+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) |
(fma.f32 (/.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) |
(+ 1 (* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(fma.f32 (-.f32 (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphax alphax) #s(literal 1 binary32)) |
(+ 1 (* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 alphay #s(literal 4 binary32)) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (*.f32 alphay alphay)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphax alphax) (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphax alphax) #s(literal 1 binary32)) |
(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))) |
(*.f32 (/.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) |
(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(*.f32 (-.f32 (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphax alphax)) |
(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
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(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
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(/ (* (pow alphax 2) u0) (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))))))) |
(/.f32 (*.f32 (*.f32 alphax alphax) u0) (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))) |
(* (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))))))))))))))) |
(*.f32 (-.f32 (/.f32 u0 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))) (*.f32 (/.f32 (*.f32 alphax alphax) (*.f32 alphay alphay)) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) u0) (pow.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 2 binary32))))) (*.f32 alphax alphax)) |
(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (pow (+ 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))))))))))))))) |
(*.f32 (fma.f32 (-.f32 (*.f32 (/.f32 (*.f32 alphax alphax) (pow.f32 alphay #s(literal 4 binary32))) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) u0) (pow.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 3 binary32)))) (/.f32 (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) u0) (*.f32 alphay alphay)) (pow.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 2 binary32)))) (*.f32 alphax alphax) (/.f32 u0 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))) (*.f32 alphax alphax)) |
(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (pow (+ 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))))))))))))))) |
(*.f32 (fma.f32 (-.f32 (*.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) (pow.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 4 binary32))) (/.f32 (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) u0) (pow.f32 alphay #s(literal 4 binary32))) (pow.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 3 binary32)))) (*.f32 alphax alphax)) (/.f32 (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) u0) (*.f32 alphay alphay)) (pow.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 2 binary32)))) (*.f32 alphax alphax) (/.f32 u0 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))) (*.f32 alphax alphax)) |
(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)))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))) |
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(+ 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))))))) |
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(+ 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)))))))))))) |
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(+ 1 (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2)))))))) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
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(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
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(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))) (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) |
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(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))) (* -1/2 (/ (* u0 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* -1/2 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))))))) |
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(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
(fma.f32 (-.f32 (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphay alphay) #s(literal 1 binary32)) |
(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
(fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (*.f32 alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphay alphay) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphay alphay) #s(literal 1 binary32)) |
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(*.f32 (-.f32 (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphay alphay)) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(*.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (*.f32 alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphay alphay) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphay alphay)) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 (neg.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 alphax #s(literal 6 binary32)))) (/.f32 (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (pow.f32 alphax #s(literal 4 binary32))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphay alphay) (*.f32 (neg.f32 (/.f32 u0 (*.f32 alphax alphax))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphay alphay) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphay alphay)) |
(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(fma.f32 (-.f32 (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphay alphay) #s(literal 1 binary32)) |
(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))))) |
(fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (*.f32 alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphay alphay) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphay alphay) #s(literal 1 binary32)) |
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(*.f32 (-.f32 (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (*.f32 alphax alphax)) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphay alphay)) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(*.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (*.f32 alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphay alphay) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphay alphay)) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 (neg.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 alphax #s(literal 6 binary32)))) (/.f32 (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) u0) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (pow.f32 alphax #s(literal 4 binary32))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphay alphay) (*.f32 (neg.f32 (/.f32 u0 (*.f32 alphax alphax))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphay alphay) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphay alphay)) |
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) |
(*.f32 (-.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)))) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)))) (*.f32 alphay alphay)) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)) (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) |
(*.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax))) #s(literal 2 binary32))) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32))) (*.f32 u0 (/.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax))) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))))) (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))) (*.f32 alphay alphay)) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8))) (* -1 (/ (* u0 (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2)) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))))) (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)))) (/ u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)))) |
(*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 (neg.f32 (*.f32 alphay alphay)) (/.f32 (*.f32 (pow.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax))) #s(literal 3 binary32)) 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 8 binary32))) (*.f32 u0 (/.f32 (pow.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32))))) (*.f32 alphay alphay)) (*.f32 u0 (/.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax))) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))))) (*.f32 alphay alphay) (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)))) (*.f32 alphay alphay)) |
(sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
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(-.f32 (/.f32 u0 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)))) (/.f32 (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) u0) (*.f32 alphay alphay)) (pow.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax))) #s(literal 2 binary32)))) |
(- (+ (/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2)))) |
(-.f32 (fma.f32 (/.f32 u0 (pow.f32 alphay #s(literal 4 binary32))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (pow.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax))) #s(literal 3 binary32))) (/.f32 u0 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax))))) (/.f32 (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) u0) (*.f32 alphay alphay)) (pow.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax))) #s(literal 2 binary32)))) |
(- (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6)) (* (pow alphay 6) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4)))) (/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))))) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2))))) |
(-.f32 (-.f32 (/.f32 u0 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)))) (/.f32 (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) u0) (pow.f32 alphay #s(literal 6 binary32))) (pow.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax))) #s(literal 4 binary32)))) (-.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) u0) (*.f32 alphay alphay)) (pow.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax))) #s(literal 2 binary32))) (/.f32 (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) u0) (pow.f32 alphay #s(literal 4 binary32))) (pow.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax))) #s(literal 3 binary32))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 152 | 1465 |
| 0 | 258 | 1223 |
| 1 | 1000 | 1137 |
| 2 | 7727 | 1137 |
| 0 | 8259 | 1133 |
| 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) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))) |
(+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) |
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))) |
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)) |
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) |
(/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)) |
(+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) |
(fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32)))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))) |
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
(cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) |
(cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))) |
(cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) |
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) |
(*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) |
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) |
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) |
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) |
(pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) |
(fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) |
(tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
(tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) |
#s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) |
(cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) |
(cos.f32 (*.f32 (PI.f32) #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)))) |
| Outputs |
|---|
(*.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) |
(*.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1/8 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1 binary32)))))) |
(/.f32 (-.f32 #s(literal 1/4 binary32) (pow.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 2 binary32))) (-.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32))) (neg.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) |
(/.f32 (neg.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1/8 binary32))) (neg.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1 binary32)))))) |
(/.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32))) |
(/.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1/8 binary32)) (+.f32 #s(literal 1/4 binary32) (-.f32 (pow.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 2 binary32)) (*.f32 u1 #s(literal 1 binary32))))) |
(/.f32 (fma.f32 #s(literal 8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1/8 binary32)) (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)) (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) #s(literal -1/4 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 u1 u1) #s(literal 4 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1 binary32)))) (fma.f32 #s(literal 8 binary32) (pow.f32 u1 #s(literal 3 binary32)) #s(literal 1/8 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 2 binary32)) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32))) (/.f32 #s(literal 1/4 binary32) (fma.f32 #s(literal 2 binary32) u1 #s(literal -1/2 binary32)))) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) |
(+.f32 (*.f32 #s(literal 2 binary32) u1) #s(literal 1/2 binary32)) |
(+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 2 binary32) u1)) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))) |
(*.f32 (pow.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))) #s(literal -1/2 binary32)) (pow.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))) #s(literal -1/2 binary32))) |
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))) #s(literal 1/4 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))) #s(literal 1/4 binary32))) |
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/2 binary32)) (pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)))))) |
(*.f32 (pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)))) |
(/.f32 (sqrt.f32 #s(literal -1 binary32)) (sqrt.f32 (+.f32 (neg.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))))) #s(literal -1 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)))) |
(pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))) #s(literal 1/2 binary32)) |
(pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
(pow.f32 (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32))) #s(literal -1 binary32)) |
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(/.f32 (neg.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (neg.f32 (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) |
(/.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) |
(/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) |
(pow.f32 (/.f32 #s(literal 1 binary32) (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) #s(literal -1 binary32)) |
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) |
(neg.f32 (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (neg.f32 (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) |
(tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) |
#s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) |
(*.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32)))))) #s(literal 1/2 binary32)) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32)))))) #s(literal 1/2 binary32))) |
(*.f32 #s(literal 1 binary32) (cos.f32 (atan.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32))))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (+.f32 (pow.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32)))) #s(literal 2 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (pow.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32)))) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32)))) #s(literal 2 binary32)) #s(literal 1 binary32)))) |
(pow.f32 (sqrt.f32 (+.f32 (pow.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32)))) #s(literal 2 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) |
(pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32)))))) #s(literal 1 binary32)) |
(exp.f32 (*.f32 (log.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32))))))) #s(literal 1 binary32))) |
(cos.f32 (atan.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32)))))) |
(cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32))) |
Compiled 129 748 to 7 019 computations (94.6% saved)
32 alts after pruning (26 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 846 | 17 | 863 |
| Fresh | 8 | 9 | 17 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 5 | 5 |
| Total | 858 | 32 | 890 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 90.7% | (pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
| 87.1% | (pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) | |
| 87.2% | (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32)))) | |
| 97.8% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 (pow.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32))))) | |
| ✓ | 89.5% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
| 92.9% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) | |
| 97.7% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 u0 (*.f32 (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))) | |
| ▶ | 94.8% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) #s(literal 1 binary32)))) |
| ▶ | 97.8% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
| ▶ | 97.7% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
| 58.3% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) alphay) (/.f32 #s(literal 1/2 binary32) alphay) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) u0) (-.f32 #s(literal 1 binary32) u0))))) | |
| 93.2% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) | |
| ✓ | 99.5% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
| ✓ | 98.2% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
| 98.2% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) | |
| 92.1% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (+ (* (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) | |
| 45.4% | (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (log1p.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1/2 binary32)))) | |
| 93.5% | (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)))) | |
| 98.5% | (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (/.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)))) | |
| ✓ | 97.9% | (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)))) |
| 97.9% | (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))))) #s(literal 1 binary32)))) | |
| 58.9% | (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 3 binary32)))) (+.f32 (fma.f32 u0 u0 u0) #s(literal 1 binary32))) #s(literal 1 binary32)))) | |
| 97.9% | (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ alphay (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) -2) (pow (/ alphax (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) -2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) | |
| 91.7% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) | |
| 93.5% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) | |
| 93.2% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32)))) #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) | |
| 98.1% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) | |
| ▶ | 94.1% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
| ▶ | 98.7% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
| 92.8% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* u1 2) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) | |
| 95.0% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 #s(approx (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1)) (-.f32 #s(literal 1 binary32) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))))))) | |
| ✓ | 92.1% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32)) |
Compiled 5 853 to 2 855 computations (51.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) | |
| cost-diff | 0 | (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) #s(literal 1 binary32)) | |
| cost-diff | 0 | (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) #s(literal 1 binary32))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) #s(literal 1 binary32)))) | |
| cost-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 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))) | |
| cost-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 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) | |
| cost-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 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) | |
| cost-diff | 64 | (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) | |
| cost-diff | 0 | #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) | |
| cost-diff | 0 | (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) | |
| cost-diff | 0 | (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) | |
| cost-diff | 0 | #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) | |
| cost-diff | 0 | (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) | |
| cost-diff | 0 | (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) | |
| cost-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 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) | |
| cost-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 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) | |
| cost-diff | 64 | (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)) | |
| cost-diff | 160 | (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 3323 |
| 0 | 251 | 3157 |
| 1 | 417 | 3153 |
| 2 | 596 | 3153 |
| 3 | 992 | 3153 |
| 4 | 2427 | 3153 |
| 5 | 4933 | 3153 |
| 0 | 8302 | 3145 |
| 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 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))) |
#s(literal 1 binary32) |
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)) |
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) |
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax))) |
(/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) |
(pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) |
(sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) |
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))))) |
(/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))) |
(*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) |
(/.f32 alphay alphax) |
alphay |
alphax |
(sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))) |
(*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))) |
(PI.f32) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
#s(literal 2 binary32) |
u1 |
#s(literal 1/2 binary32) |
(cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))) |
(*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))) |
(+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)) |
(*.f32 u1 #s(literal 2 binary32)) |
(*.f32 alphay alphay) |
(/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)) |
(pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) |
(cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) |
(atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) |
(*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) |
(tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) |
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)) |
(*.f32 alphax alphax) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
#s(literal 1 binary32) |
(sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))) |
(+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) |
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) |
(*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) |
(/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) |
(*.f32 alphay alphay) |
alphay |
(pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32)) |
(sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) |
(atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax)) |
(/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax) |
(*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) |
(tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) |
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
#s(literal 2 binary32) |
u1 |
#s(literal 1/2 binary32) |
(PI.f32) |
alphax |
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
#s(literal 1 binary32) |
(sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))) |
(+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) |
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) |
(*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) |
(/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) |
(*.f32 alphay alphay) |
alphay |
(pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32)) |
(sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) |
(atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax))) |
(/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)) |
(*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) |
(+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) |
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) |
(*.f32 (PI.f32) #s(literal 2 binary32)) |
(PI.f32) |
#s(literal 2 binary32) |
u1 |
(tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) |
(*.f32 (PI.f32) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax) |
(-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) |
(*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) |
alphax |
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))) |
#s(literal 1 binary32) |
(+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)) |
(/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) |
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax))) |
(/.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 (+.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 (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 (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)) |
(cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) |
(*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)) |
(atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) |
(*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) |
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) |
(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)) |
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) |
(*.f32 alphax alphax) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) #s(literal 1 binary32)))) |
#s(literal 1 binary32) |
(sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) #s(literal 1 binary32))) |
(+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) #s(literal 1 binary32)) |
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) |
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) |
u0 |
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))) |
(/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) |
(pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) |
(sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) |
(atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) |
(*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) |
(/.f32 alphay alphax) |
alphay |
alphax |
(/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) |
(sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) |
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
#s(literal 2 binary32) |
u1 |
#s(literal 1/2 binary32) |
(PI.f32) |
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) |
(*.f32 alphay alphay) |
(/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) |
(pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) |
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) |
(*.f32 alphax alphax) |
| Outputs |
|---|
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))) |
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#s(literal 1 binary32) |
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(/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
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(/.f32 alphay alphax) |
alphay |
alphax |
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(sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) |
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(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)) |
(PI.f32) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) |
#s(literal 2 binary32) |
u1 |
#s(literal 1/2 binary32) |
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(+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)) |
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(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)) |
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#s(literal 1 binary32) |
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#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (*.f32 (*.f32 (/.f32 alphay (-.f32 #s(literal 1 binary32) u0)) alphay) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)))) |
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(*.f32 alphay alphay) |
alphay |
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(/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax) |
(*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #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))) alphay) |
(*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) alphay) |
(tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) |
(tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) |
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)) |
(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) |
#s(literal 2 binary32) |
u1 |
#s(literal 1/2 binary32) |
(PI.f32) |
alphax |
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (*.f32 (*.f32 (/.f32 alphay (-.f32 #s(literal 1 binary32) u0)) alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))) alphay) (fma.f32 (*.f32 (neg.f32 alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) alphax)))) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
#s(literal 1 binary32) |
(sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))) |
(sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (*.f32 (*.f32 (/.f32 alphay (-.f32 #s(literal 1 binary32) u0)) alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))) alphay) (fma.f32 (*.f32 (neg.f32 alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) alphax)))) #s(literal 2 binary32)))) #s(literal 1 binary32))) |
(+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) |
(+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (*.f32 (*.f32 (/.f32 alphay (-.f32 #s(literal 1 binary32) u0)) alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))) alphay) (fma.f32 (*.f32 (neg.f32 alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) alphax)))) #s(literal 2 binary32)))) #s(literal 1 binary32)) |
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) |
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (*.f32 (*.f32 (/.f32 alphay (-.f32 #s(literal 1 binary32) u0)) alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))) alphay) (fma.f32 (*.f32 (neg.f32 alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) alphax)))) #s(literal 2 binary32)))) |
(*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) |
(/.f32 (*.f32 (*.f32 (/.f32 alphay (-.f32 #s(literal 1 binary32) u0)) alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))) alphay) (fma.f32 (*.f32 (neg.f32 alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) alphax)))) #s(literal 2 binary32))) |
(/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) |
(/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))) alphay) (fma.f32 (*.f32 (neg.f32 alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) alphax)))) #s(literal 2 binary32))) |
(*.f32 alphay alphay) |
alphay |
(pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32)) |
(pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))) alphay) (fma.f32 (*.f32 (neg.f32 alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) alphax)))) #s(literal 2 binary32)) |
(sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) |
(sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))) alphay) (fma.f32 (*.f32 (neg.f32 alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) alphax)))) |
(atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax))) |
(atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))) alphay) (fma.f32 (*.f32 (neg.f32 alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) alphax))) |
(/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)) |
(/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))) alphay) (fma.f32 (*.f32 (neg.f32 alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) alphax)) |
(*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) |
(*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))) alphay) |
(+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))) |
(tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) |
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1) |
(*.f32 (PI.f32) #s(literal 2 binary32)) |
(PI.f32) |
#s(literal 2 binary32) |
u1 |
(tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) |
(*.f32 (PI.f32) #s(literal 1/2 binary32)) |
#s(literal 1/2 binary32) |
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax) |
(fma.f32 (*.f32 (neg.f32 alphax) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) alphax) |
(-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) |
(-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)))) |
(*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) |
(*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1))) |
alphax |
(/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (fma.f32 (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) |
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#s(literal 1 binary32) |
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(/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) |
u0 |
(-.f32 #s(literal 1 binary32) u0) |
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(/.f32 alphay alphax) |
alphay |
alphax |
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(sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) |
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(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)) |
(PI.f32) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) |
#s(literal 2 binary32) |
u1 |
#s(literal 1/2 binary32) |
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#s(literal 1 binary32) |
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(+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) #s(literal 1 binary32)) |
(+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (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(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) |
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (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 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) |
(/.f32 u0 (+.f32 (/.f32 (pow.f32 (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)))) |
u0 |
(+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))) |
(+.f32 (/.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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (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 (/.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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) |
(pow.f32 (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 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #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 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) |
(atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) |
(atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) |
(*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))) |
(*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) |
(/.f32 alphay alphax) |
alphay |
alphax |
(/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))) |
(/.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) |
(sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) |
(sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) |
(*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)) |
(*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)) |
(fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) |
(fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) |
#s(literal 2 binary32) |
u1 |
#s(literal 1/2 binary32) |
(PI.f32) |
(cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) |
(cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) |
(*.f32 alphay alphay) |
(/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) |
(/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) |
(pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) |
(pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) |
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) |
(cos.f32 (atan.f32 (*.f32 (/.f32 (/.f32 alphay alphax) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) |
(*.f32 alphax alphax) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (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))))))) | |
| accuracy | 0 | (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) | |
| accuracy | 0 | #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) | |
| accuracy | 29.98788023102775 | (PI.f32) | |
| accuracy | 0 | (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 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 | 0 | (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 | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) | |
| accuracy | 29.98788023102775 | (PI.f32) | |
| accuracy | 0 | (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) | |
| accuracy | 0 | (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax))) | |
| accuracy | 0 | #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) | |
| accuracy | 29.98788023102775 | (PI.f32) | |
| accuracy | 0 | (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) | |
| accuracy | 0 | (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax)) | |
| accuracy | 0 | #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) | |
| accuracy | 29.98788023102775 | (PI.f32) | |
| accuracy | 0 | (atan.f32 (/.f32 (*.f32 (/.f32 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)))))) | |
| accuracy | 0 | (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) | |
| accuracy | 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 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) | |
| accuracy | 29.98788023102775 | (PI.f32) |
| 594.0ms | 256× | 0 | exit |
Compiled 6 147 to 283 computations (95.4% saved)
ival-div: 164.0ms (31.3% of total)ival-mult: 70.0ms (13.4% of total)ival-pow2: 64.0ms (12.2% of total)ival-sin: 47.0ms (9% of total)ival-tanu: 37.0ms (7.1% of total)ival-cos: 36.0ms (6.9% of total)ival-atan: 24.0ms (4.6% of total)ival-cosu: 23.0ms (4.4% of total)ival-tan: 22.0ms (4.2% of total)ival-add: 17.0ms (3.2% of total)ival-sinu: 10.0ms (1.9% of total)ival-sqrt: 7.0ms (1.3% of total)ival-sub: 2.0ms (0.4% of total)ival-pi: 1.0ms (0.2% of total)exact: 1.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)) |
(+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))) |
(+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) |
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))) |
(+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) |
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) |
(+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) #s(literal 1 binary32)))) |
(sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) #s(literal 1 binary32))) |
(+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) #s(literal 1 binary32)) |
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) |
(PI.f32) |
(atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) |
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))))) |
(atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax)) |
(sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) |
(atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax))) |
(sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) |
(atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) |
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) |
(atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) |
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) |
| Outputs |
|---|
1 |
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(+ 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))))))) |
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(* u0 (+ (* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) |
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(/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) |
1/2 |
(+ 1/2 (* 2 u1)) |
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(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (+ (* 1/2 (/ 1 (pow alphax 2))) (/ (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 (* (+ (* 1/2 (/ 1 (pow alphax 2))) (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))) (- 1 u0))))) |
(atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))) |
(sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(atan (/ (* alphay (+ (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))) (/ (sin (* 2 (* u1 (PI)))) (cos (* 2 (* u1 (PI))))))) (* alphax (- 1 (/ (* (sin (* 1/2 (PI))) (sin (* 2 (* u1 (PI))))) (* (cos (* 1/2 (PI))) (cos (* 2 (* u1 (PI)))))))))) |
(sin (atan (/ (* alphay (+ (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))) (/ (sin (* 2 (* u1 (PI)))) (cos (* 2 (* u1 (PI))))))) (* alphax (- 1 (/ (* (sin (* 1/2 (PI))) (sin (* 2 (* u1 (PI))))) (* (cos (* 1/2 (PI))) (cos (* 2 (* u1 (PI))))))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(* 2 u1) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
(/ (pow (cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2) (pow alphax 2)) |
(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)))))) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))))) (pow alphax 2))) (+ (* 1/2 (/ 1 (pow alphax 2))) (/ (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 (* (+ (* 1/2 (/ 1 (pow alphax 2))) (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))))) (pow alphax 2))) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2) (pow alphay 2)))) (- 1 u0))))) |
(atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))) |
(sin (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 (* -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 (* -1/2 (/ (* (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 (* 1/2 (/ (* (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)))) (/ (* 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))))))) (* 1/2 (/ 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 (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))))) (* -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)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* (pow (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 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)))) (/ (* 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 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 (* -1/2 (/ (* (pow alphax 2) u0) (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 1 u0))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 1 u0))))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (/ u0 (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 1 u0)))) (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2)))))) (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2))))))) (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 3) (- 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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 3) (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2)))))))))))) |
(+ 1 (* -1 (/ (* (pow alphax 2) u0) (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 1 u0))))) |
(+ 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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2))))))) (/ u0 (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2)))))) (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 3) (- 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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 3) (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2))))))) (/ u0 (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 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 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (pow alphax 4)) (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* 1/2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3))))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (pow alphay 4) (* u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax 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(- (+ 1 (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow 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 (+ (* 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 alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) |
(/ (* (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ (* (pow alphay 2) 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 (+ (* 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 alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) |
(- (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow 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 (+ (* 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 alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) |
(+ (sqrt (/ 1 (+ 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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2))) (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2))) (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2))) (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 3))) (* (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 (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2))) (* (pow (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2))) (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2))) (* (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 (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* 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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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2))) (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2))) (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 3))) (* (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 (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2))) (* (pow (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2))) (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 3))) (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (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 (* -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 (* -1/2 (/ (* (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 (* 1/2 (/ (* (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) (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))) (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))) (* -1/2 (/ (* u0 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* -1/2 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))))))) |
(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2)) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))) (/ (* (pow u0 2) (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2)))))))) (* -1/2 (+ (* -1 (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))))))) |
(+ 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 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ 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 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2)) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))) (/ (* (pow u0 2) (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2))))))) (+ (* -1 (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ 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 alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (* 1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (pow alphay 4)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* 1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3))))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0))))))))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (- 1 u0))))) (+ (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* 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(pow (- 1 u0) 2))))))) (pow alphay 6)) (sqrt (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0))))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4) (pow (- 1 u0) 2))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3) (- 1 u0)))))) (pow alphay 4)) (sqrt (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* 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(/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0))))) |
(+ (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2) (- 1 u0)))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4) (pow (- 1 u0) 2))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3) (- 1 u0))))) (pow alphay 4))) (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2) (- 1 u0))))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4) (- 1 u0))))) (+ (/ (* u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4) (pow (- 1 u0) 2))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3) (- 1 u0))))))) (* (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2) (- 1 u0)))) (/ (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 5) (pow (- 1 u0) 2)))))) (pow alphay 6))) (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))))) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphay 4) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4) (pow (- 1 u0) 2)))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphay 4) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3) (- 1 u0)))))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 81.0ms | alphax | @ | 0 | ((/ (pow (cos (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) 2) (* alphax alphax)) (+ (* u1 2) 1/2) (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (* (tan (* (+ (* 2 u1) 1/2) (PI))) (/ alphay alphax)))) 2) (* alphax alphax)))) 1))) (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 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(/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (+ (* (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)))) 1))) (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (+ (* (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)))) 1)) (/ 1 (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) 1))) (sqrt (+ (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ 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| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1546 | 62530 |
| 1 | 6057 | 60208 |
| 0 | 8718 | 56067 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
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(/ (pow (cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphax 2)) |
1/2 |
(+ 1/2 (* 2 u1)) |
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(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (+ (* 1/2 (/ 1 (pow alphax 2))) (/ (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 (* (+ (* 1/2 (/ 1 (pow alphax 2))) (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2)))) (- 1 u0))))) |
(atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))) |
(sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(atan (/ (* alphay (+ (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))) (/ (sin (* 2 (* u1 (PI)))) (cos (* 2 (* u1 (PI))))))) (* alphax (- 1 (/ (* (sin (* 1/2 (PI))) (sin (* 2 (* u1 (PI))))) (* (cos (* 1/2 (PI))) (cos (* 2 (* u1 (PI)))))))))) |
(sin (atan (/ (* alphay (+ (/ (sin (* 1/2 (PI))) (cos (* 1/2 (PI)))) (/ (sin (* 2 (* u1 (PI)))) (cos (* 2 (* u1 (PI))))))) (* alphax (- 1 (/ (* (sin (* 1/2 (PI))) (sin (* 2 (* u1 (PI))))) (* (cos (* 1/2 (PI))) (cos (* 2 (* u1 (PI))))))))))) |
(cos (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) |
(* 2 u1) |
(* u1 (+ 2 (* 1/2 (/ 1 u1)))) |
(/ (pow (cos (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2) (pow alphax 2)) |
(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)))))) |
(+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))))))) |
(sqrt (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))))) (pow alphax 2))) (+ (* 1/2 (/ 1 (pow alphax 2))) (/ (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 (* (+ (* 1/2 (/ 1 (pow alphax 2))) (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))))) (pow alphax 2))) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1)))))))) 2) (pow alphay 2)))) (- 1 u0))))) |
(atan (/ (* alphay (sin (* (PI) (- 1/2 (* -2 u1))))) (* alphax (cos (* (PI) (- 1/2 (* -2 u1))))))) |
(sin (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 (* -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 (* -1/2 (/ (* (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 (* 1/2 (/ (* (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)))) (/ (* 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))))))) (* 1/2 (/ 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 (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))))) (* -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)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* (pow (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 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)))) (/ (* 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 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 (* -1/2 (/ (* (pow alphax 2) u0) (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 1 u0))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 1 u0))))))) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (/ u0 (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 1 u0)))) (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2)))))) (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2))))))) (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 3) (- 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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 3) (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2)))))))))))) |
(+ 1 (* -1 (/ (* (pow alphax 2) u0) (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 1 u0))))) |
(+ 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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2))))))) (/ u0 (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2)))))) (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 3) (- 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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 3) (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2))))))) (/ u0 (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 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 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphay 6) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (pow alphax 4)) (sqrt (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* 1/2 (* (/ (* (pow alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3))))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (pow alphay 4) (* u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax 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(- (+ 1 (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow 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 (+ (* 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 alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) |
(/ (* (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 (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ (* (pow alphay 2) 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 (+ (* 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 alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) |
(- (+ (* -1 (/ (* (pow alphay 8) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow 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 (+ (* 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 alphay 4) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) |
(+ (sqrt (/ 1 (+ 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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2))) (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2))) (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2))) (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 3))) (* (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 (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2))) (* (pow (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2))) (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2))) (* (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 (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 8) (* (pow (+ 1 (/ (* 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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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2))) (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2))) (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 3))) (* (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 (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (+ (* -1 (/ (* (pow alphay 8) (* (pow u0 2) (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2))) (* (pow (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2))) (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 3))) (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (* (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 (* -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 (* -1/2 (/ (* (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 (* 1/2 (/ (* (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) (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))) (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))) (* -1/2 (/ (* u0 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* -1/2 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))))))) |
(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0))))))) |
(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2)) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))) (/ (* (pow u0 2) (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2)))))))) (* -1/2 (+ (* -1 (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))))))) |
(+ 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 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ 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 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2)) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))) (/ (* (pow u0 2) (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2))))))) (+ (* -1 (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (/ 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 alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (* 1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3)))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0)))))) (pow alphay 4)) (sqrt (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* 1/2 (* (/ (* (pow alphax 4) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3))))))) |
(+ (sqrt (/ 1 (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow alphax 8) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0))))) (+ (* -1/2 (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 3) (pow (- 1 u0) 2))))) (/ (* (pow alphax 6) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (* (pow (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) 2) (- 1 u0))))))))) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (* (+ 1 (/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (- 1 u0))))) (+ (/ (* (pow alphax 4) (* u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (+ (* -1 (/ (* (pow alphax 8) (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* 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(sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3) (- 1 u0)))))))) (* (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2) (- 1 u0))))) (+ (/ (* u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4) (pow (- 1 u0) 2))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3) (- 1 u0))))))) (* (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2) (- 1 u0)))) (/ (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 5) (pow (- 1 u0) 2))))))) (pow alphay 6)) (sqrt (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0))))))) (+ (* -1/2 (* (/ (+ (* -1 (/ (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4) (pow (- 1 u0) 2))))) (+ (* 1/4 (/ (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4) (pow (- 1 u0) 2))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3) (- 1 u0)))))) (pow alphay 4)) (sqrt (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0))))))) (* 1/2 (* (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2) (- 1 u0)))) (sqrt (/ 1 (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3)))))))) |
(/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0))))) |
(+ (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2) (- 1 u0)))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4) (pow (- 1 u0) 2))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3) (- 1 u0))))) (pow alphay 4))) (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2) (- 1 u0))))))) |
(- (+ (* -1 (/ (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4) (- 1 u0))))) (+ (/ (* u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (+ (* -1 (/ (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4) (pow (- 1 u0) 2))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3) (- 1 u0))))))) (* (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2) (- 1 u0)))) (/ (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6)) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 5) (pow (- 1 u0) 2)))))) (pow alphay 6))) (/ 1 (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))))) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2) (- 1 u0)))))) (+ (* -1 (/ (* (pow u0 2) (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphay 4) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 3) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 4) (pow (- 1 u0) 2)))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4)) (* (pow alphay 4) (* (pow (+ 1 (/ u0 (* (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) (- 1 u0)))) 2) (* (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 3) (- 1 u0)))))))) |
| Outputs |
|---|
1 |
#s(literal 1 binary32) |
(+ 1 (* -1/2 (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) |
(fma.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal -1/2 binary32) #s(literal 1 binary32)) |
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(+ 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))))))) |
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(+ 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))))))) |
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(* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) |
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(* u0 (+ (* u0 (+ (* u0 (+ (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))) (/ u0 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) (/ 1 (+ (/ (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphax 2)) (/ (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (pow alphay 2)))))) |
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(+ 1 (* -1/2 (/ u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (+ (* 1/2 (/ 1 (pow alphax 2))) (/ (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (pow alphay 2))))))) |
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1/2 |
#s(literal 1/2 binary32) |
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(* 2 u1) |
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(/ (* (pow alphax 2) u0) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))) |
(*.f32 (/.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) |
(* (pow alphax 2) (+ (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(*.f32 (-.f32 (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 alphay alphay) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphax alphax)) |
(* (pow alphax 2) (+ (* (pow alphax 2) (- (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(*.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alphax alphax) u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 alphay #s(literal 4 binary32)) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (*.f32 alphay alphay)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphax alphax) (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphax alphax)) |
(* (pow alphax 2) (+ (* (pow alphax 2) (- (* (pow alphax 2) (- (* -1 (/ (* (pow alphax 2) (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphay 6) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphay 4) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphay 2) (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 (neg.f32 (/.f32 (*.f32 alphax alphax) (pow.f32 alphay #s(literal 6 binary32)))) (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) u0) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 8 binary32)) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (pow.f32 alphay #s(literal 4 binary32))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphax alphax) (*.f32 (neg.f32 (/.f32 u0 (*.f32 alphay alphay))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphax alphax) (/.f32 (/.f32 u0 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphax alphax)) |
(+ 1 (* -1/2 (/ (* (pow alphax 2) u0) (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 1 u0))))) |
(fma.f32 (*.f32 (/.f32 (*.f32 alphax alphax) (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0))) #s(literal -1/2 binary32) #s(literal 1 binary32)) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (* (pow alphax 2) (+ (* -1 (/ (* u0 (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2)) (* (pow alphay 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2)))))))) (* -1/2 (/ u0 (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 1 u0))))))) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (fma.f32 (neg.f32 (/.f32 u0 (*.f32 alphay alphay))) (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 (/.f32 (*.f32 u0 u0) (pow.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) #s(literal -3/4 binary32))) (*.f32 alphax alphax) (/.f32 (/.f32 u0 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32))) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphax alphax) #s(literal 1 binary32)) |
(+ 1 (* (pow alphax 2) (+ (* -1/2 (/ u0 (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 1 u0)))) (* (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2)))))) (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2))))))) (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 3) (- 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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 3) (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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (- 1 u0))))) (+ (* -1 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2)))))))))))) |
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(+ 1 (* -1 (/ (* (pow alphax 2) u0) (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 1 u0))))) |
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(+ 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 (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (- 1 u0))))) (* -1 (/ (pow u0 2) (* (pow (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) 2) (pow (- 1 u0) 2))))))) (/ u0 (* (+ 1/2 (* 1/2 (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))))) (- 1 u0)))))) |
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(+ 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)))))))))))) |
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#s(literal 4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))))) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphay alphay) (fma.f32 (/.f32 (/.f32 (*.f32 u0 u0) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) #s(literal -3/4 binary32) (*.f32 (neg.f32 (/.f32 u0 (*.f32 alphax alphax))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 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(+ 1 (* 1/2 (/ (* (pow alphay 2) u0) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
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(+ 1 (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))) (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) |
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(+ 1 (* (pow alphay 2) (+ (* 1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))) (* -1/2 (/ (* u0 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))))) (* -1/2 (+ (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (pow (- 1 u0) 2)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 (fma.f32 (*.f32 u0 (/.f32 (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 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 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 #s(literal 1/4 binary32) (*.f32 u0 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 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #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 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))) #s(literal -1/2 binary32) (*.f32 (neg.f32 (/.f32 u0 (pow.f32 alphax #s(literal 4 binary32)))) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphay alphay) (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 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 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 #s(literal 1/4 binary32) (*.f32 u0 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 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))))))) (*.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 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (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)) |
(+ 1 (* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
(fma.f32 (-.f32 (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 alphax alphax) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphay alphay) #s(literal 1 binary32)) |
(+ 1 (* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0)))))) |
(fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 alphax #s(literal 4 binary32)) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 6 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 (/.f32 u0 (*.f32 alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (*.f32 alphay alphay) (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0))) (*.f32 alphay alphay) #s(literal 1 binary32)) |
(* (pow alphay 2) (+ (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2))) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
(*.f32 (-.f32 (/.f32 (/.f32 u0 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u0)) (/.f32 (*.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 alphax alphax) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) u0)))) (*.f32 alphay alphay)) |
(* (pow alphay 2) (+ (* (pow alphay 2) (- (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4))) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0)))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
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(* (pow alphay 2) (+ (* (pow alphay 2) (- (* (pow alphay 2) (- (* -1 (/ (* (pow alphay 2) (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6))) (* (pow alphax 6) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 8) (- 1 u0))))) (* -1 (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4)) (* (pow alphax 4) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 6) (- 1 u0))))))) (/ (* u0 (pow (cos (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2)) (* (pow alphax 2) (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 4) (- 1 u0)))))) (/ u0 (* (pow (sin (atan (/ (* alphay (sin (+ (* 1/2 (PI)) (* 2 (* u1 (PI)))))) (* alphax (cos (+ (* 1/2 (PI)) (* 2 (* u1 (PI))))))))) 2) (- 1 u0))))) |
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(+ 1 (* (pow alphay 2) (+ (* -1/2 (/ u0 (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (* (pow alphay 2) (+ (* -1/2 (* (pow alphay 2) (+ (* -1 (/ (* u0 (+ (* -1 (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (* 1/2 (/ (* u0 (+ (* -1 (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2))))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 2) (- 1 u0)))) (+ (/ (* u0 (pow (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2)))) 2)) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (- 1 u0))) (/ (* (pow u0 2) (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 6) (pow (- 1 u0) 2)))))))) (* -1/2 (+ (* -1 (/ (* u0 (+ (* 1/2 (/ (cos (* 2 (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1))))))))) (pow alphax 2))) (* 1/2 (/ 1 (pow alphax 2))))) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (- 1 u0)))) (+ (* -1 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))) (* 1/4 (/ (pow u0 2) (* (pow (sin (atan (/ (* alphay (sin (* (PI) (+ 1/2 (* 2 u1))))) (* alphax (cos (* (PI) (+ 1/2 (* 2 u1)))))))) 4) (pow (- 1 u0) 2)))))))))))) |
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binary32) u1 #s(literal 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 (pow.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax))) #s(literal 5 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32)))))) (*.f32 (/.f32 u0 (pow.f32 (+.f32 (/.f32 (/.f32 u0 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #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)) (*.f32 (pow.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax))) #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) u0))))) (pow.f32 alphay #s(literal 6 binary32)))) (-.f32 (-.f32 (/.f32 (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) u0) (pow.f32 alphay #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax))) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u0)) (pow.f32 (+.f32 (/.f32 (/.f32 u0 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 4 binary32)) (*.f32 u0 u0)) (pow.f32 alphay #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax))) #s(literal 4 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u0) #s(literal 2 binary32))) (pow.f32 (+.f32 (/.f32 (/.f32 u0 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal 3 binary32))))) (/.f32 (/.f32 (*.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) u0) (*.f32 alphay alphay)) (*.f32 (pow.f32 (+.f32 (/.f32 (/.f32 u0 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 (pow.f32 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax))) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u0)))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 149 | 1819 |
| 0 | 251 | 1365 |
| 1 | 1087 | 1340 |
| 2 | 5637 | 1340 |
| 0 | 8375 | 1340 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)) |
(+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))) |
(+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) |
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32))) |
(+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) |
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) |
(+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) #s(literal 1 binary32)))) |
(sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) #s(literal 1 binary32))) |
(+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) #s(literal 1 binary32)) |
#s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))))) |
(PI.f32) |
(atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) |
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)))))) |
(atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax)) |
(sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) |
(atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax))) |
(sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) |
(atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) |
(atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)))))) |
(atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) |
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) |
| Outputs |
|---|
(*.f32 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) alphax) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) (/.f32 #s(literal 1 binary32) alphax)) |
(*.f32 (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1 binary32)) alphax) (/.f32 #s(literal 1/2 binary32) alphax)) |
(*.f32 (exp.f32 (log.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) alphax))) (exp.f32 (log.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) alphax)))) |
(*.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) (pow.f32 alphax #s(literal -2 binary32))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) |
(*.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) alphax) (/.f32 #s(literal 1 binary32) alphax)) |
(*.f32 (pow.f32 alphax #s(literal -2 binary32)) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) |
(*.f32 (neg.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (neg.f32 alphax) alphax))) |
(*.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1 binary32)) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax))) |
(*.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 #s(literal 1/2 binary32) (pow.f32 alphax #s(literal -2 binary32)))) |
(*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (pow.f32 alphax #s(literal -2 binary32))) |
(*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) alphax) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) alphax)) |
(*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) (*.f32 (/.f32 #s(literal 1 binary32) alphax) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) alphax))) |
(*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) (pow.f32 alphax #s(literal -2 binary32)))) |
(*.f32 #s(literal 1 binary32) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal -2 binary32))) |
(/.f32 (*.f32 (fma.f32 (pow.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 1/4 binary32) #s(literal -1/4 binary32)) (pow.f32 alphax #s(literal -2 binary32))) (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal -1/2 binary32))) |
(/.f32 (*.f32 (fma.f32 (pow.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1/8 binary32) #s(literal 1/8 binary32)) (pow.f32 alphax #s(literal -2 binary32))) (fma.f32 (pow.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 1/4 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/4 binary32))))) |
(/.f32 (*.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1 binary32)) (pow.f32 alphax #s(literal -2 binary32))) #s(literal 2 binary32)) |
(/.f32 (*.f32 (neg.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) alphax)) (neg.f32 alphax)) |
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) (pow.f32 alphax #s(literal -2 binary32)))) (sqrt.f32 (+.f32 (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) #s(literal -2 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) alphax) (neg.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))))) (neg.f32 alphax)) |
(/.f32 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) alphax) #s(literal 1 binary32)) (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))))) |
(/.f32 (*.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) alphax) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) alphax) |
(/.f32 (neg.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) alphax)) (neg.f32 alphax)) |
(/.f32 (neg.f32 (neg.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)))) (neg.f32 (*.f32 (neg.f32 alphax) alphax))) |
(/.f32 (*.f32 (fma.f32 (pow.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 1/4 binary32) #s(literal -1/4 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 alphax alphax))) |
(/.f32 (*.f32 (fma.f32 (pow.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 3 binary32)) #s(literal 1/8 binary32) #s(literal 1/8 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (pow.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 2 binary32)) #s(literal 1/4 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/4 binary32)))) (*.f32 alphax alphax))) |
(/.f32 (*.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 alphax alphax))) |
(/.f32 (pow.f32 (neg.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (pow.f32 (neg.f32 alphax) #s(literal 2 binary32))) |
(/.f32 (*.f32 (neg.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 1 binary32)) (*.f32 (neg.f32 alphax) (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))))) |
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(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) #s(literal -2 binary32)) #s(literal 1 binary32))) (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) |
(pow.f32 (*.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (sqrt.f32 (+.f32 (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) #s(literal -2 binary32)) #s(literal 1 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (*.f32 (sqrt.f32 (+.f32 (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) #s(literal -2 binary32)) #s(literal 1 binary32))) (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal -1 binary32)) |
(pow.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (/.f32 (sqrt.f32 (+.f32 (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) #s(literal -2 binary32)) #s(literal 1 binary32))) (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal -1 binary32)) |
(pow.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) #s(literal 1/2 binary32)) |
(pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 1 binary32)) |
(sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) |
(exp.f32 (*.f32 (*.f32 (log.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(exp.f32 (*.f32 (log.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 1 binary32))) |
(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) |
(neg.f32 (atan.f32 (/.f32 (*.f32 (neg.f32 alphay) (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32))))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32))))) alphax)))) |
(neg.f32 (atan.f32 (/.f32 (*.f32 (neg.f32 alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) alphax))) |
(neg.f32 (atan.f32 (/.f32 (*.f32 (neg.f32 (/.f32 alphay alphax)) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) |
(neg.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))) alphay) (*.f32 (neg.f32 alphax) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32))))))))) |
(neg.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (neg.f32 alphax)))) |
(neg.f32 (atan.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (neg.f32 (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) |
(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) |
(neg.f32 (atan.f32 (/.f32 (*.f32 (neg.f32 alphay) (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32))))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32))))) alphax)))) |
(neg.f32 (atan.f32 (/.f32 (*.f32 (neg.f32 alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) alphax))) |
(neg.f32 (atan.f32 (/.f32 (*.f32 (neg.f32 (/.f32 alphay alphax)) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) |
(neg.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))) alphay) (*.f32 (neg.f32 alphax) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32))))))))) |
(neg.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (neg.f32 alphax)))) |
(neg.f32 (atan.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (neg.f32 (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) |
(atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) |
(neg.f32 (atan.f32 (/.f32 (*.f32 (neg.f32 alphay) (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32))))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32))))) alphax)))) |
(neg.f32 (atan.f32 (/.f32 (*.f32 (neg.f32 alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) alphax))) |
(neg.f32 (atan.f32 (/.f32 (*.f32 (neg.f32 (/.f32 alphay alphax)) (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) |
(neg.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))) alphay) (*.f32 (neg.f32 alphax) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32))))))))) |
(neg.f32 (atan.f32 (/.f32 (*.f32 alphay (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) (neg.f32 alphax)))) |
(neg.f32 (atan.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (neg.f32 (cos.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) |
(*.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 1/2 binary32)) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 1/2 binary32))) |
(*.f32 #s(literal 1 binary32) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (sqrt.f32 (+.f32 (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) #s(literal -2 binary32)) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) #s(literal -2 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) #s(literal -2 binary32)) #s(literal 1 binary32)))) |
(pow.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (/.f32 (sqrt.f32 (+.f32 (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) #s(literal -2 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (sqrt.f32 (+.f32 (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) #s(literal -2 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) |
(pow.f32 (+.f32 (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) #s(literal -2 binary32)) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
(pow.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) #s(literal 1/2 binary32)) |
(pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 1 binary32)) |
(exp.f32 (*.f32 (*.f32 (log.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log1p.f32 (pow.f32 (/.f32 (/.f32 alphax alphay) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))) #s(literal -2 binary32)))) #s(literal -1 binary32))) |
(exp.f32 (*.f32 (log.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 1 binary32))) |
(cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32)))))) |
Compiled 160 019 to 8 009 computations (95% saved)
41 alts after pruning (32 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 822 | 16 | 838 |
| Fresh | 5 | 16 | 21 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 5 | 6 |
| Total | 829 | 41 | 870 |
| Status | Accuracy | Program |
|---|---|---|
| 91.2% | (pow.f32 (pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal -2 binary32))))) #s(literal 1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32)) | |
| 86.2% | (pow.f32 (pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32)) | |
| ✓ | 90.8% | (pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
| 86.9% | (pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) | |
| 91.4% | (pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal -2 binary32))))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) | |
| 85.0% | (pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) | |
| 91.2% | (/.f32 #s(literal 1 binary32) (pow.f32 (pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal -2 binary32))))) #s(literal 1 binary32)) #s(literal 1/4 binary32)) #s(literal 2 binary32))) | |
| 86.3% | (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32)))) | |
| 85.0% | (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)))) | |
| ✓ | 89.5% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
| 92.9% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) | |
| 97.7% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 u0 (*.f32 (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))) | |
| 94.8% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal -2 binary32))))) #s(literal 1 binary32)))) | |
| 97.7% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) | |
| 97.8% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (exp.f32 (log.f32 (PI.f32))) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) | |
| ✓ | 97.8% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
| ✓ | 97.7% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
| 21.3% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) | |
| 58.1% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) alphay) (/.f32 #s(literal 1/2 binary32) alphay) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) u0) (-.f32 #s(literal 1 binary32) u0))))) | |
| 93.2% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) | |
| ✓ | 99.5% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
| 92.1% | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (+ (* (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) | |
| 46.5% | (/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (log1p.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1/2 binary32)))) | |
| 93.4% | (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)))) | |
| 98.5% | (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (/.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)))) | |
| ✓ | 97.9% | (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)))) |
| 97.9% | (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))))) #s(literal 1 binary32)))) | |
| 57.8% | (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 3 binary32)))) (+.f32 (fma.f32 u0 u0 u0) #s(literal 1 binary32))) #s(literal 1 binary32)))) | |
| 97.9% | (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ alphay (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) -2) (pow (/ alphax (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) -2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) | |
| 91.7% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) | |
| 93.5% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) | |
| 93.2% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 #s(approx (+ (* 2 u1) 1/2) (*.f32 #s(literal 2 binary32) u1)) (PI.f32)))) #s(literal 2 binary32)) #s(literal 1 binary32)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) | |
| 98.1% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) | |
| ✓ | 94.1% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
| 99.2% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (neg.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))) alphay) (*.f32 (neg.f32 alphax) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) | |
| ✓ | 98.7% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
| 93.5% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 alphax alphax) #s(literal 2 binary32))))) #s(literal 1 binary32))))) | |
| 92.8% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* u1 2) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) | |
| 95.0% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 #s(approx (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* u1 2) 1/2)))))) 2) (* alphay alphay)) (/ (pow (cos (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphax alphax)))) 1)) (-.f32 #s(literal 1 binary32) (/.f32 u0 (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))))))) | |
| 17.9% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 #s(approx (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (+ (* (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)))) 1)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))) | |
| ✓ | 92.1% | #s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32)) |
Compiled 11 237 to 2 808 computations (75% 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)) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (+ (* (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 #s(approx (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (+ (* (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)))) 1)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))) |
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32)))) |
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#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (neg.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))) alphay) (*.f32 (neg.f32 alphax) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (/.f32 (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal 1/8 binary32)) (fma.f32 (pow.f32 u1 #s(literal 2 binary32)) #s(literal 4 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1 binary32)))))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u0) u0) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal -2 binary32))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))))) #s(literal -1/2 binary32))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
13 calls:
| 31.0ms | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) |
| 19.0ms | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) |
| 19.0ms | alphay |
| 18.0ms | (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))) |
| 18.0ms | alphax |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | u0 |
| 99.5% | 1 | u1 |
| 99.5% | 1 | alphax |
| 99.5% | 1 | alphay |
| 99.5% | 1 | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
| 99.5% | 1 | (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))) |
| 99.5% | 1 | (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))) |
| 99.5% | 1 | (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)) |
| 99.5% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) |
| 99.5% | 1 | (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))) |
| 99.5% | 1 | (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
| 99.5% | 1 | (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
| 99.5% | 1 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) |
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)) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (+ (* (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) |
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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 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(approx (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32)))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (neg.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))) alphay) (*.f32 (neg.f32 alphax) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (/.f32 (fma.f32 (pow.f32 u1 #s(literal 3 binary32)) #s(literal 8 binary32) #s(literal 1/8 binary32)) (fma.f32 (pow.f32 u1 #s(literal 2 binary32)) #s(literal 4 binary32) (-.f32 #s(literal 1/4 binary32) (*.f32 u1 #s(literal 1 binary32)))))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
| Outputs |
|---|
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (neg.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))) alphay) (*.f32 (neg.f32 alphax) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
13 calls:
| 96.0ms | (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)) |
| 38.0ms | alphay |
| 26.0ms | (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))) |
| 21.0ms | (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))) |
| 19.0ms | alphax |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | u0 |
| 99.2% | 1 | u1 |
| 99.2% | 1 | alphax |
| 99.2% | 1 | alphay |
| 99.2% | 1 | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
| 99.2% | 1 | (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))) |
| 99.2% | 1 | (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))) |
| 99.2% | 1 | (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)) |
| 99.2% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) |
| 99.2% | 1 | (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))) |
| 99.2% | 1 | (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
| 99.2% | 1 | (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
| 99.2% | 1 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) |
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)) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (+ (* (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 #s(approx (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (+ (* (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)))) 1)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))) |
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32)))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ alphay (sin (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) -2) (pow (/ alphax (cos (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))))) -2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (*.f32 (*.f32 alphay alphay) u0) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphax alphax) (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(pow.f32 (pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) #s(literal -1/4 binary32)) #s(literal 2 binary32)) |
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (log1p.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1/2 binary32)))) |
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32)))) (*.f32 (*.f32 alphay alphay) #s(literal 2 binary32))) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)))) |
(/.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))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal -2 binary32))))) #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 u0 (*.f32 (-.f32 #s(literal 1 binary32) u0) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (/.f32 u0 (*.f32 (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (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 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 alphax alphax) #s(literal 2 binary32))))) #s(literal 1 binary32))))) |
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(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
(pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (exp.f32 (log.f32 (PI.f32))) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 alphax #s(literal -2 binary32)) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 3 binary32)))) (+.f32 (fma.f32 u0 u0 u0) #s(literal 1 binary32))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (*.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 3 binary32)))) (+.f32 (fma.f32 u0 u0 u0) #s(literal 1 binary32))) #s(literal 1 binary32)))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* u1 2) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
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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 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (/.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(approx (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (*.f32 alphax alphax))) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 #s(approx (+ (* (* 2 (PI)) u1) (* 1/2 (PI))) (*.f32 (PI.f32) #s(literal 1/2 binary32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(approx (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (pow.f32 (cos.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32)))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
| Outputs |
|---|
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
13 calls:
| 38.0ms | alphax |
| 29.0ms | (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
| 24.0ms | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
| 20.0ms | (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))) |
| 18.0ms | u1 |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | u0 |
| 98.7% | 1 | u1 |
| 98.7% | 1 | alphax |
| 98.7% | 1 | alphay |
| 98.7% | 1 | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
| 98.7% | 1 | (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))) |
| 98.7% | 1 | (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))) |
| 98.7% | 1 | (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)) |
| 98.7% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) |
| 98.7% | 1 | (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))) |
| 98.7% | 1 | (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
| 98.7% | 1 | (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
| 98.7% | 1 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) |
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)) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (+ (* (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 #s(approx (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (+ (* (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)))) 1)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))) |
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
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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) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (*.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))) #s(literal 2 binary32))) #s(literal 1/2 binary32)) #s(literal 1/2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (+.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))) #s(literal 2 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 alphax alphax) #s(literal 2 binary32))))) #s(literal 1 binary32))))) |
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 u0 (+.f32 (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal -2 binary32))))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)) #s(literal 2 binary32)) #s(literal 1 binary32))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
(pow.f32 (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)) (pow.f32 (/.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphax) #s(literal 2 binary32)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32)))) alphay) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) u1)) (tan.f32 (*.f32 (exp.f32 (log.f32 (PI.f32))) #s(literal 1/2 binary32))))) alphax)))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (pow.f32 alphax #s(literal -2 binary32)) (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (pow.f32 (/.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (fma.f32 #s(literal 1/2 binary32) (PI.f32) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) alphay) #s(literal 2 binary32)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
(sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 3 binary32)))) (+.f32 (fma.f32 u0 u0 u0) #s(literal 1 binary32))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 (*.f32 (/.f32 (/.f32 u0 (+.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)) (pow.f32 (/.f32 alphax (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32)))) (-.f32 #s(literal 1 binary32) (pow.f32 u0 #s(literal 3 binary32)))) (+.f32 (fma.f32 u0 u0 u0) #s(literal 1 binary32))) #s(literal 1 binary32)))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) #s(approx (+ (* u1 2) 1/2) (*.f32 #s(literal 2 binary32) u1))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
| Outputs |
|---|
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
13 calls:
| 43.0ms | (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
| 30.0ms | (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))) |
| 28.0ms | alphax |
| 20.0ms | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) |
| 10.0ms | (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 1 | alphay |
| 97.9% | 1 | (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))) |
| 97.9% | 1 | u0 |
| 97.9% | 1 | u1 |
| 97.9% | 1 | alphax |
| 97.9% | 1 | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
| 97.9% | 1 | (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))) |
| 97.9% | 1 | (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))) |
| 97.9% | 1 | (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)) |
| 97.9% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) |
| 97.9% | 1 | (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
| 97.9% | 1 | (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
| 97.9% | 1 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) |
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)) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(approx (* (/ 1 (+ (/ (+ (* (cos (* (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (/.f32 (*.f32 (*.f32 alphax alphax) u0) (fma.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) #s(literal 1/2 binary32) #s(literal 1/2 binary32)))) (-.f32 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 #s(approx (/ 1 (+ (/ (/ u0 (- 1 u0)) (+ (/ (pow (sin (atan (/ (* (/ alphay alphax) (sin (* (PI) (+ (* 2 u1) 1/2)))) (cos (* (PI) (+ (* 2 u1) 1/2)))))) 2) (* alphay alphay)) (/ (+ (* (cos (* (atan (* (tan (* (+ (* u1 2) 1/2) (PI))) (/ alphay alphax))) 2)) 1/2) 1/2) (* alphax alphax)))) 1)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (fma.f32 (/.f32 (cos.f32 (*.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (/.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (cos.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32))) (*.f32 alphax alphax)) #s(literal 1/2 binary32) (/.f32 #s(literal 1/2 binary32) (*.f32 alphax alphax)))) (-.f32 #s(literal 1 binary32) u0)) #s(literal 1 binary32)))))) |
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
13 calls:
| 23.0ms | alphax |
| 20.0ms | (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
| 3.0ms | (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))) |
| 3.0ms | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) |
| 3.0ms | (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 1 | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
| 97.7% | 1 | (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))) |
| 97.7% | 1 | u0 |
| 97.7% | 1 | u1 |
| 97.7% | 1 | alphax |
| 97.7% | 1 | alphay |
| 97.7% | 1 | (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))) |
| 97.7% | 1 | (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))) |
| 97.7% | 1 | (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)) |
| 97.7% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) |
| 97.7% | 1 | (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
| 97.7% | 1 | (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
| 97.7% | 1 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) |
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)) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
13 calls:
| 16.0ms | u0 |
| 12.0ms | (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
| 2.0ms | (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)) |
| 2.0ms | (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))) |
| 2.0ms | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.7% | 1 | u1 |
| 94.7% | 1 | alphay |
| 94.7% | 1 | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
| 94.7% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) |
| 94.7% | 1 | (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))) |
| 94.7% | 1 | (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
| 94.7% | 1 | (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
| 94.7% | 1 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) |
| 94.7% | 1 | alphax |
| 94.7% | 1 | (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))) |
| 94.7% | 1 | (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))) |
| 94.7% | 1 | (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)) |
| 94.7% | 1 | u0 |
Compiled 522 to 219 computations (58% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32)) |
| Outputs |
|---|
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32)) |
13 calls:
| 100.0ms | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) |
| 13.0ms | u0 |
| 2.0ms | (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)) |
| 2.0ms | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) |
| 2.0ms | (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.1% | 1 | u0 |
| 92.1% | 1 | u1 |
| 92.1% | 1 | alphax |
| 92.1% | 1 | alphay |
| 92.1% | 1 | (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)))) |
| 92.1% | 1 | (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))) |
| 92.1% | 1 | (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0)) |
| 92.1% | 1 | (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) |
| 92.1% | 1 | (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))) |
| 92.1% | 1 | (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))) |
| 92.1% | 1 | (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) |
| 92.1% | 1 | (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay))) |
| 92.1% | 1 | (/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
Compiled 522 to 219 computations (58% saved)
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 156 | 723 |
| 1 | 204 | 723 |
| 2 | 229 | 723 |
| 3 | 253 | 722 |
| 4 | 294 | 722 |
| 5 | 344 | 722 |
| 6 | 456 | 722 |
| 7 | 565 | 722 |
| 8 | 631 | 722 |
| 9 | 644 | 722 |
| 10 | 669 | 722 |
| 11 | 727 | 722 |
| 12 | 839 | 722 |
| 13 | 1000 | 722 |
| 14 | 1197 | 722 |
| 15 | 1399 | 722 |
| 16 | 1573 | 722 |
| 17 | 1713 | 722 |
| 18 | 1819 | 722 |
| 19 | 1886 | 722 |
| 20 | 1932 | 722 |
| 21 | 1958 | 722 |
| 22 | 1966 | 722 |
| 23 | 1967 | 722 |
| 1× | saturated |
| Inputs |
|---|
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (neg.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))) alphay) (*.f32 (neg.f32 alphax) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32)) |
| Outputs |
|---|
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (cos.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphax alphax)) (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32))))))) (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (+.f32 (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) u1) (*.f32 #s(literal 1/2 binary32) (PI.f32)))))))) (*.f32 alphay alphay)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 (*.f32 (sin.f32 (atan.f32 (*.f32 (tan.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) (sin.f32 (atan.f32 (*.f32 (tan.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))) (*.f32 alphay alphay)) (/.f32 (*.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax)))) (cos.f32 (atan.f32 (*.f32 (tan.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)) (*.f32 u1 (*.f32 (PI.f32) #s(literal 2 binary32))))) (/.f32 alphay alphax))))) (*.f32 alphax alphax)))) u0) (-.f32 #s(literal 1 binary32) u0))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (neg.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))) alphay) (*.f32 (neg.f32 alphax) (-.f32 #s(literal 1 binary32) (*.f32 (tan.f32 (*.f32 (PI.f32) #s(literal 1/2 binary32))) (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32)))))))))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 u0 #s(literal 1 binary32))) (+.f32 (/.f32 (pow.f32 (cos.f32 (neg.f32 (atan.f32 (/.f32 (*.f32 (+.f32 (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32))) (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) alphay) (*.f32 (-.f32 (*.f32 (tan.f32 (*.f32 (*.f32 u1 #s(literal 2 binary32)) (PI.f32))) (tan.f32 (*.f32 #s(literal 1/2 binary32) (PI.f32)))) #s(literal 1 binary32)) alphax))))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)) (+.f32 (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (/.f32 alphay alphax) (sin.f32 (*.f32 (PI.f32) (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32))))))) #s(literal 2 binary32)) (*.f32 alphay alphay)) (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)))) #s(literal 1 binary32))))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 u0 (-.f32 u0 #s(literal 1 binary32))) (+.f32 (/.f32 (pow.f32 (cos.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)))) #s(literal 2 binary32)) (*.f32 alphax alphax)) (/.f32 (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax)) (cos.f32 (*.f32 (+.f32 (*.f32 u1 #s(literal 2 binary32)) #s(literal 1/2 binary32)) (PI.f32)))))) #s(literal 2 binary32)) (*.f32 alphay alphay)))))))) |
(pow.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (/.f32 (/.f32 u0 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u0))) #s(literal 1 binary32)) #s(literal -1/2 binary32)) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (/.f32 (*.f32 alphay alphay) (pow.f32 (sin.f32 (atan.f32 (/.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 #s(literal 2 binary32) u1 #s(literal 1/2 binary32)) (PI.f32))) alphay) alphax))) #s(literal 2 binary32))) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (/.f32 alphay alphax) (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
(/.f32 #s(literal 1 binary32) (sqrt.f32 (+.f32 #s(approx (/ (/ u0 (- 1 u0)) (+ (pow (/ (sin (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphay) 2) (pow (/ (cos (atan (* (tan (+ (* 1/2 (PI)) (* u1 (* (PI) 2)))) (/ alphay alphax)))) alphax) 2))) (*.f32 (pow.f32 (/.f32 alphay (sin.f32 (atan.f32 (*.f32 (tan.f32 (*.f32 (fma.f32 u1 #s(literal 2 binary32) #s(literal 1/2 binary32)) (PI.f32))) (/.f32 alphay alphax))))) #s(literal 2 binary32)) (/.f32 u0 (-.f32 #s(literal 1 binary32) u0)))) #s(literal 1 binary32)))) |
#s(approx (/ 1 (sqrt (+ 1 (/ (* (/ 1 (+ (/ (* (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (cos (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphax alphax)) (/ (* (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI))))))) (sin (atan (* (/ alphay alphax) (tan (+ (* (* 2 (PI)) u1) (* 1/2 (PI)))))))) (* alphay alphay)))) u0) (- 1 u0))))) #s(literal 1 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 547 | 15643 |
| 1 | 1836 | 13063 |
| 0 | 8247 | 12189 |
| 0 | 1394 | 50037 |
| 1 | 5472 | 49878 |
| 0 | 8416 | 46535 |
| 0 | 32 | 324 |
| 0 | 57 | 219 |
| 1 | 228 | 202 |
| 2 | 2076 | 202 |
| 0 | 8656 | 191 |
| 0 | 149 | 1819 |
| 0 | 251 | 1365 |
| 1 | 1087 | 1340 |
| 2 | 5637 | 1340 |
| 0 | 8375 | 1340 |
| 0 | 99 | 1045 |
| 0 | 166 | 873 |
| 1 | 641 | 743 |
| 2 | 5874 | 743 |
| 0 | 9217 | 741 |
| 0 | 152 | 1465 |
| 0 | 258 | 1223 |
| 1 | 1000 | 1137 |
| 2 | 7727 | 1137 |
| 0 | 8259 | 1133 |
| 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 |
Compiled 1 205 to 394 computations (67.3% saved)
Compiled 1 620 to 382 computations (76.4% saved)
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