Octave 3.8, jcobi/4
Time bar (total: 11.4s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 14% | 86% | 0% | 0% | 0% | 0 |
| 0% | 0% | 14% | 86% | 0% | 0% | 0% | 1 |
| 0% | 0% | 14% | 86% | 0% | 0% | 0% | 2 |
| 25% | 3.5% | 10.5% | 86% | 0% | 0% | 0% | 3 |
| 62.5% | 8.8% | 5.3% | 86% | 0% | 0% | 0% | 4 |
| 75% | 10.5% | 3.5% | 86% | 0% | 0% | 0% | 5 |
| 84.4% | 11.8% | 2.2% | 86% | 0% | 0% | 0% | 6 |
| 92.2% | 12.9% | 1.1% | 86% | 0% | 0% | 0% | 7 |
| 93.8% | 13.2% | 0.9% | 86% | 0% | 0% | 0% | 8 |
| 95.7% | 13.4% | 0.6% | 86% | 0% | 0% | 0% | 9 |
| 97.9% | 13.7% | 0.3% | 86% | 0% | 0% | 0% | 10 |
| 98.4% | 13.8% | 0.2% | 86% | 0% | 0% | 0% | 11 |
| 99% | 13.9% | 0.1% | 86% | 0% | 0% | 0% | 12 |
Compiled 65 to 24 computations (63.1% saved)
| 1.1s | 8 256× | 0 | valid |
ival-mult: 320.0ms (37.9% of total)ival-add: 200.0ms (23.7% of total)ival-div: 115.0ms (13.6% of total)ival->: 107.0ms (12.7% of total)ival-sub: 67.0ms (7.9% of total)ival-and: 17.0ms (2% of total)exact: 15.0ms (1.8% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 218 | 0 | - | 0 | - | (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) |
| 147 | 0 | - | 0 | - | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | i |
| 0 | 0 | - | 0 | - | (*.f64 i (+.f64 (+.f64 alpha beta) i)) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) i) |
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
| 0 | 0 | - | 0 | - | beta |
| 0 | 0 | - | 0 | - | (+.f64 alpha beta) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 alpha beta) i) |
| 0 | 0 | - | 0 | - | alpha |
| 0 | 0 | - | 0 | - | (*.f64 beta alpha) |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) | o/o | 159 | 0 |
| ↳ | (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) | overflow | 147 | |
| ↳ | (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) | overflow | 218 | |
| ↳ | (*.f64 beta alpha) | overflow | 11 | |
| ↳ | (*.f64 i (+.f64 (+.f64 alpha beta) i)) | overflow | 290 | |
| ↳ | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) | overflow | 159 | |
/.f64 | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | o/o | 128 | 0 |
| ↳ | (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) | overflow | 147 | |
| ↳ | (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) | overflow | 218 | |
| ↳ | (*.f64 beta alpha) | overflow | 11 | |
| ↳ | (*.f64 i (+.f64 (+.f64 alpha beta) i)) | overflow | 290 | |
| ↳ | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) | overflow | 159 | |
| ↳ | (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) | overflow | 128 | |
| ↳ | (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) | overflow | 159 | |
| ↳ | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) | overflow | 159 | |
/.f64 | (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) | o/n | 59 | 0 |
| ↳ | (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) | overflow | 147 | |
| ↳ | (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) | overflow | 218 | |
| ↳ | (*.f64 beta alpha) | overflow | 11 | |
| ↳ | (*.f64 i (+.f64 (+.f64 alpha beta) i)) | overflow | 290 | |
/.f64 | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | n/o | 19 | 0 |
| ↳ | (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) | overflow | 159 | |
| ↳ | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) | overflow | 159 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 218 | 0 |
| - | 0 | 38 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 218 | 0 | 0 |
| - | 0 | 0 | 38 |
| number | freq |
|---|---|
| 0 | 38 |
| 1 | 71 |
| 2 | 147 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 125.0ms | 512× | 0 | valid |
Compiled 606 to 72 computations (88.1% saved)
ival-mult: 17.0ms (47.1% of total)ival-add: 10.0ms (27.7% of total)ival-div: 6.0ms (16.6% of total)ival-sub: 2.0ms (5.5% of total)ival-true: 1.0ms (2.8% of total)exact: 1.0ms (2.8% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 508 |
| 1 | 377 | 482 |
| 2 | 2068 | 478 |
| 0 | 17 | 53 |
| 0 | 29 | 53 |
| 1 | 76 | 53 |
| 2 | 324 | 53 |
| 3 | 2002 | 53 |
| 4 | 6883 | 53 |
| 0 | 8193 | 47 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))) (/.f64 (+.f64 (+.f64 beta alpha) i) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(sort alpha beta)
Compiled 53 to 17 computations (67.9% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 15.5% | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
Compiled 53 to 17 computations (67.9% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| cost-diff | 128 | (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) | |
| cost-diff | 128 | (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) | |
| cost-diff | 128 | (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 183 |
| 0 | 29 | 183 |
| 1 | 76 | 183 |
| 2 | 324 | 183 |
| 3 | 2002 | 183 |
| 4 | 6883 | 183 |
| 0 | 8193 | 166 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) |
(*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) |
(*.f64 i (+.f64 (+.f64 alpha beta) i)) |
i |
(+.f64 (+.f64 alpha beta) i) |
(+.f64 alpha beta) |
alpha |
beta |
(+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) |
(*.f64 beta alpha) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 2 binary64) |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))) (/.f64 (+.f64 (+.f64 beta alpha) i) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) |
(*.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))) (/.f64 (+.f64 (+.f64 beta alpha) i) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) |
(*.f64 (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) i) (+.f64 (+.f64 beta alpha) i)) |
(*.f64 i (+.f64 (+.f64 alpha beta) i)) |
(*.f64 (+.f64 (+.f64 beta alpha) i) i) |
i |
(+.f64 (+.f64 alpha beta) i) |
(+.f64 (+.f64 beta alpha) i) |
(+.f64 alpha beta) |
(+.f64 beta alpha) |
alpha |
beta |
(+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) |
(fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) |
(*.f64 beta alpha) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
(*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 2 binary64) |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) | |
| accuracy | 0.08041000976844201 | (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) | |
| accuracy | 35.37367466449744 | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| accuracy | 46.68769950257844 | (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) |
| 27.0ms | 256× | 0 | valid |
Compiled 368 to 36 computations (90.2% saved)
ival-mult: 7.0ms (43.3% of total)ival-add: 5.0ms (30.9% of total)ival-div: 3.0ms (18.5% of total)ival-sub: 1.0ms (6.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) (patch (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (patch (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (patch (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (patch (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ()) |
| Outputs |
|---|
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | i | @ | 0 | ((+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) |
| 12.0ms | beta | @ | -inf | ((+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) |
| 6.0ms | alpha | @ | 0 | ((+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) |
| 6.0ms | alpha | @ | -inf | ((+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) |
| 5.0ms | beta | @ | 0 | ((+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1089 | 12630 |
| 1 | 3841 | 11840 |
| 0 | 8258 | 10972 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* i (+ alpha i)) |
(+ (* beta (+ alpha i)) (* i (+ alpha i))) |
(+ (* beta (+ alpha i)) (* i (+ alpha i))) |
(+ (* beta (+ alpha i)) (* i (+ alpha i))) |
(+ alpha (* 2 i)) |
(+ alpha (+ beta (* 2 i))) |
(+ alpha (+ beta (* 2 i))) |
(+ alpha (+ beta (* 2 i))) |
(- (pow (+ alpha (* 2 i)) 2) 1) |
(- (+ (* beta (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1) |
(- (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) 1) |
(- (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) 1) |
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(+ (* beta (- (+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 4 alpha) (* 8 i)))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))))) (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)) |
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2))) |
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2))) |
(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 4)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (pow (+ alpha (* 2 i)) 2))))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2))) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2))) |
(* (pow i 2) (pow (+ alpha i) 2)) |
(+ (* beta (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2)))) (* (pow i 2) (pow (+ alpha i) 2))) |
(+ (* beta (+ (* beta (* i (+ alpha i))) (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))))) (* (pow i 2) (pow (+ alpha i) 2))) |
(+ (* beta (+ (* beta (* i (+ alpha i))) (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))))) (* (pow i 2) (pow (+ alpha i) 2))) |
(pow (+ alpha (* 2 i)) 2) |
(+ (* beta (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) |
(+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) |
(+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) |
(* beta (+ alpha i)) |
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta)))) |
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta)))) |
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta)))) |
beta |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta))))) |
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2)))) |
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2)))) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(* i (+ alpha i)) |
(- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) |
(- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(* (pow beta 2) (* i (+ alpha i))) |
(* (pow beta 2) (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta))) |
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) |
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta))))) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2)))))) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2)))))) |
(* -1 (* beta (+ (* -1 alpha) (* -1 i)))) |
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta)))))) |
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta)))))) |
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta)))))) |
beta |
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1))) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta)))) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(* -1 (* i (+ (* -1 alpha) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(* -1 (* (pow beta 2) (* i (+ (* -1 alpha) (* -1 i))))) |
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) beta)))) |
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta)))) |
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta)))) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta)))) |
(* i (+ beta i)) |
(+ (* alpha (+ beta i)) (* i (+ beta i))) |
(+ (* alpha (+ beta i)) (* i (+ beta i))) |
(+ (* alpha (+ beta i)) (* i (+ beta i))) |
(+ beta (* 2 i)) |
(+ alpha (+ beta (* 2 i))) |
(+ alpha (+ beta (* 2 i))) |
(+ alpha (+ beta (* 2 i))) |
(- (pow (+ beta (* 2 i)) 2) 1) |
(- (+ (* alpha (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1) |
(- (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) 1) |
(- (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) 1) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
(+ (* alpha (- (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 4 beta) (* 8 i)))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))))) (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)) |
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(* (pow i 2) (pow (+ beta i) 2)) |
(+ (* alpha (* i (+ (* i (+ beta i)) (pow (+ beta i) 2)))) (* (pow i 2) (pow (+ beta i) 2))) |
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2))) |
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2))) |
(pow (+ beta (* 2 i)) 2) |
(+ (* alpha (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) |
(+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) |
(+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) |
(* alpha (+ beta i)) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha))))) |
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2)))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(* i (+ beta i)) |
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha)) |
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(* (pow alpha 2) (* i (+ beta i))) |
(* (pow alpha 2) (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha))) |
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) |
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha))))) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2)))))) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2)))))) |
(* -1 (* alpha (+ (* -1 beta) (* -1 i)))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha)))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(* -1 (* i (+ (* -1 beta) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(* -1 (* (pow alpha 2) (* i (+ (* -1 beta) (* -1 i))))) |
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha)))) |
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha)))) |
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha)))) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha)))) |
(* alpha beta) |
(+ (* alpha beta) (* i (+ alpha beta))) |
(+ (* alpha beta) (* i (+ alpha (+ beta i)))) |
(+ (* alpha beta) (* i (+ alpha (+ beta i)))) |
(+ alpha beta) |
(+ alpha (+ beta (* 2 i))) |
(+ alpha (+ beta (* 2 i))) |
(+ alpha (+ beta (* 2 i))) |
(- (pow (+ alpha beta) 2) 1) |
(- (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) 1) |
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1) |
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(* alpha (* beta (* i (+ alpha beta)))) |
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (pow (+ alpha beta) 2))))) |
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ (* 2 alpha) (* 2 beta))) (pow (+ alpha beta) 2)))))) |
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ i (+ (* 2 alpha) (* 2 beta)))) (pow (+ alpha beta) 2)))))) |
(pow (+ alpha beta) 2) |
(+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) |
(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) |
(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) |
(pow i 2) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2)))))) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2)))))) |
(* 2 i) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(* 4 (pow i 2)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2)))) |
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2)))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2)))))) |
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3))))))))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))) |
(pow i 4) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i))))) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (/ (pow (+ alpha beta) 2) (pow i 2))))))) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (+ (/ (* alpha (* beta (+ alpha beta))) (pow i 3)) (/ (pow (+ alpha beta) 2) (pow i 2)))))))) |
(* 4 (pow i 2)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2))))) |
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2))))) |
(pow i 2) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i)))) |
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i)))) |
(* 2 i) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(* 4 (pow i 2)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i)))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i)))) |
(pow i 4) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i))))) |
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (+ (* -1 (/ (* alpha beta) i)) (* -1 (/ (pow (+ alpha beta) 2) i)))) i)))) |
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (* -1 (/ (+ (* -1 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ alpha beta))) i)) i))) i)))) |
(* 4 (pow i 2)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)))) |
| Outputs |
|---|
(* i (+ alpha i)) |
(*.f64 (+.f64 alpha i) i) |
(+ (* beta (+ alpha i)) (* i (+ alpha i))) |
(*.f64 (+.f64 alpha i) (+.f64 beta i)) |
(+ (* beta (+ alpha i)) (* i (+ alpha i))) |
(*.f64 (+.f64 alpha i) (+.f64 beta i)) |
(+ (* beta (+ alpha i)) (* i (+ alpha i))) |
(*.f64 (+.f64 alpha i) (+.f64 beta i)) |
(+ alpha (* 2 i)) |
(fma.f64 #s(literal 2 binary64) i alpha) |
(+ alpha (+ beta (* 2 i))) |
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) |
(+ alpha (+ beta (* 2 i))) |
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) |
(+ alpha (+ beta (* 2 i))) |
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) |
(- (pow (+ alpha (* 2 i)) 2) 1) |
(-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(- (+ (* beta (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1) |
(fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) beta (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(- (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) 1) |
(fma.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) alpha beta)) beta (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(- (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) 1) |
(fma.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) alpha beta)) beta (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
(*.f64 (/.f64 (*.f64 i i) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) |
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) i) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (*.f64 i i)) (*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))))) beta (*.f64 (/.f64 (*.f64 i i) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))))) |
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))) (/.f64 (*.f64 i i) (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) i) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (*.f64 i i)) (*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64))))) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))))) beta (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) i) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (*.f64 i i)) (*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64)))))) beta (*.f64 (/.f64 (*.f64 i i) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))))) |
(+ (* beta (- (+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 4 alpha) (* 8 i)))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))))) (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 beta) (fma.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) i) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (*.f64 i i)) (*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))))) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))) (/.f64 (*.f64 i i) (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))) (/.f64 (*.f64 i i) (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) i) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i 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(/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)) |
(/.f64 (*.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) |
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(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 4)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (pow (+ alpha (* 2 i)) 2))))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2))) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2))) |
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(* (pow i 2) (pow (+ alpha i) 2)) |
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(pow (+ alpha (* 2 i)) 2) |
(pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) |
(+ (* beta (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) |
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(+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) |
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(+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) |
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(* beta (+ alpha i)) |
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(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta)))) |
(*.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) (+.f64 alpha i)) beta) |
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta)))) |
(*.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) (+.f64 alpha i)) beta) |
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta)))) |
(*.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) (+.f64 alpha i)) beta) |
beta |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (/.f64 alpha beta)) #s(literal 1 binary64)) beta) |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (/.f64 alpha beta)) #s(literal 1 binary64)) beta) |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (/.f64 alpha beta)) #s(literal 1 binary64)) beta) |
(pow beta 2) |
(*.f64 beta beta) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta))))) |
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(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2)))) |
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(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2)))) |
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(/ (* i (+ alpha i)) (pow beta 2)) |
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#s(literal 1 binary64))))) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))))) (neg.f64 alpha) (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) i) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 i i)) (*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64))))) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))))) alpha (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) i) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 i i)) (*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 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(/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)) |
(/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) |
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))))) alpha (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) |
(* (pow i 2) (pow (+ beta i) 2)) |
(*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) |
(+ (* alpha (* i (+ (* i (+ beta i)) (pow (+ beta i) 2)))) (* (pow i 2) (pow (+ beta i) 2))) |
(fma.f64 (*.f64 alpha i) (*.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i))) |
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2))) |
(fma.f64 (fma.f64 (*.f64 alpha i) (+.f64 beta i) (*.f64 (*.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) i)) alpha (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i))) |
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2))) |
(fma.f64 (fma.f64 (*.f64 alpha i) (+.f64 beta i) (*.f64 (*.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) i)) alpha (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i))) |
(pow (+ beta (* 2 i)) 2) |
(pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) |
(+ (* alpha (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) |
(fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) alpha (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) |
(+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) |
(fma.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta alpha)) alpha (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) |
(+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) |
(fma.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta alpha)) alpha (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) |
(* alpha (+ beta i)) |
(*.f64 (+.f64 beta i) alpha) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
(*.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) (+.f64 beta i)) alpha) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
(*.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) (+.f64 beta i)) alpha) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
(*.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) (+.f64 beta i)) alpha) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 i alpha) #s(literal 2 binary64) (/.f64 beta alpha)) #s(literal 1 binary64)) alpha) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
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(pow alpha 2) |
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(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha))))) |
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(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2)))) |
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(/ (* i (+ beta i)) (pow alpha 2)) |
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(* i (+ beta i)) |
(*.f64 (+.f64 beta i) i) |
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(* (pow alpha 2) (* i (+ beta i))) |
(*.f64 (*.f64 (*.f64 alpha alpha) i) (+.f64 beta i)) |
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alpha |
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
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(* -1 (* i (+ (* -1 beta) (* -1 i)))) |
(*.f64 (-.f64 (neg.f64 beta) i) (neg.f64 i)) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
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(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
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(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
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(* -1 (* (pow alpha 2) (* i (+ (* -1 beta) (* -1 i))))) |
(*.f64 (*.f64 (-.f64 (neg.f64 beta) i) (neg.f64 i)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha)))) |
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(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha)))) |
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(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha)))) |
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(pow alpha 2) |
(*.f64 alpha alpha) |
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha)))) |
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(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha)))) |
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(* alpha beta) |
(*.f64 beta alpha) |
(+ (* alpha beta) (* i (+ alpha beta))) |
(fma.f64 (+.f64 beta alpha) i (*.f64 beta alpha)) |
(+ (* alpha beta) (* i (+ alpha (+ beta i)))) |
(*.f64 (+.f64 beta i) (+.f64 alpha i)) |
(+ (* alpha beta) (* i (+ alpha (+ beta i)))) |
(*.f64 (+.f64 beta i) (+.f64 alpha i)) |
(+ alpha beta) |
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(+ alpha (+ beta (* 2 i))) |
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) |
(+ alpha (+ beta (* 2 i))) |
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) |
(+ alpha (+ beta (* 2 i))) |
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) |
(- (pow (+ alpha beta) 2) 1) |
(-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(- (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) 1) |
(fma.f64 (+.f64 beta alpha) (fma.f64 #s(literal 4 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64)) |
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1) |
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(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1) |
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(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(*.f64 (/.f64 (*.f64 beta i) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 alpha (+.f64 beta alpha))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 alpha (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))))) i (*.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (+.f64 beta alpha)))) i) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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#s(literal 3 binary64)))) beta) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))))))) i (*.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (+.f64 beta alpha)))) i) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(/.f64 (*.f64 (*.f64 beta i) alpha) (+.f64 beta alpha)) |
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (*.f64 alpha (/.f64 beta (+.f64 beta alpha)))) i) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (*.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 beta alpha))))) i (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (*.f64 alpha (/.f64 beta (+.f64 beta alpha)))) i) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (*.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 beta alpha))))) (+.f64 beta alpha)) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))) i (*.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 beta alpha)))))) i (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (*.f64 alpha (/.f64 beta (+.f64 beta alpha)))) i) |
(* alpha (* beta (* i (+ alpha beta)))) |
(*.f64 (*.f64 (*.f64 (+.f64 beta alpha) i) beta) alpha) |
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (pow (+ alpha beta) 2))))) |
(*.f64 (fma.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i (*.f64 (*.f64 (+.f64 beta alpha) beta) alpha)) i) |
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(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ i (+ (* 2 alpha) (* 2 beta)))) (pow (+ alpha beta) 2)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) i) i (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (*.f64 (*.f64 (+.f64 beta alpha) beta) alpha)) i) |
(pow (+ alpha beta) 2) |
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(*.f64 (+.f64 beta alpha) (fma.f64 #s(literal 4 binary64) i (+.f64 beta alpha))) |
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(fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta alpha) i)) i (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) |
(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) |
(fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta alpha) i)) i (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) |
(pow i 2) |
(*.f64 i i) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta i)) (/.f64 alpha i)) (*.f64 i i)) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2)))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha i)) (fma.f64 (/.f64 beta i) (/.f64 alpha i) (/.f64 beta i))) (*.f64 i i)) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2)))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha i)) (fma.f64 (/.f64 beta i) (/.f64 alpha i) (/.f64 beta i))) (*.f64 i i)) |
(* 2 i) |
(*.f64 #s(literal 2 binary64) i) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 beta i)) (/.f64 alpha i)) i) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 beta i)) (/.f64 alpha i)) i) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 beta i)) (/.f64 alpha i)) i) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(*.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 i i)) |
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(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2)))) |
(*.f64 (-.f64 (fma.f64 (+.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1 binary64)) #s(literal 4 binary64) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i))) (/.f64 #s(literal 1 binary64) (*.f64 i i))) (*.f64 i i)) |
1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) i)) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2)))))) |
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(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3))))))))) |
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(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (*.f64 i i)) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 beta alpha) i) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) (+.f64 beta alpha)) (*.f64 i i))))) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))) |
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(pow i 4) |
(pow.f64 i #s(literal 4 binary64)) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta i) (/.f64 alpha i)) #s(literal 1 binary64)) (pow.f64 i #s(literal 4 binary64))) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (/ (pow (+ alpha beta) 2) (pow i 2))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta i) (/.f64 alpha i)) (fma.f64 (/.f64 beta i) (/.f64 alpha i) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i)))) #s(literal 1 binary64)) (pow.f64 i #s(literal 4 binary64))) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (+ (/ (* alpha (* beta (+ alpha beta))) (pow i 3)) (/ (pow (+ alpha beta) 2) (pow i 2)))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta i) (/.f64 alpha i)) (fma.f64 alpha (+.f64 (/.f64 beta (*.f64 i i)) (/.f64 (*.f64 (+.f64 beta alpha) beta) (pow.f64 i #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i)))) #s(literal 1 binary64)) (pow.f64 i #s(literal 4 binary64))) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(*.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 i i)) |
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1 binary64)) #s(literal 4 binary64) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i))) (*.f64 i i)) |
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1 binary64)) #s(literal 4 binary64) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i))) (*.f64 i i)) |
(pow i 2) |
(*.f64 i i) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta i)) (/.f64 alpha i)) (*.f64 i i)) |
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 alpha (/.f64 beta i) (+.f64 beta alpha))) i)) (*.f64 i i)) |
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 alpha (/.f64 beta i) (+.f64 beta alpha))) i)) (*.f64 i i)) |
(* 2 i) |
(*.f64 #s(literal 2 binary64) i) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(*.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 i)) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(*.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 i)) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(*.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 i)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(*.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 i i)) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i)))) |
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (+.f64 beta alpha) #s(literal -4 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 i))) i)) (*.f64 i i)) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i)))) |
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (+.f64 beta alpha) #s(literal -4 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 i))) i)) (*.f64 i i)) |
1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) i)) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
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(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(-.f64 #s(literal 1/16 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 #s(literal -1/8 binary64) (+.f64 beta alpha) (/.f64 (-.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta alpha) beta) alpha) i) #s(literal 1/16 binary64)) (-.f64 (*.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (*.f64 #s(literal -1/256 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))))))) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (*.f64 #s(literal -1/256 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64)))))) (+.f64 beta alpha)) i) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64)))) i) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 #s(literal -4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) i) #s(literal -1/256 binary64))))) i)))) i)) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i)) |
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) (*.f64 (/.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) (+.f64 beta alpha)) i))) i)) (*.f64 i i)) |
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) (/.f64 (-.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta alpha) beta) alpha) i) #s(literal 1/4 binary64)) (-.f64 (*.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/16 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) (+.f64 beta alpha))))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal 1/4 binary64) (/.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/16 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) (+.f64 beta alpha)))) (+.f64 beta alpha)) (neg.f64 i)))) (neg.f64 i))) i)) (*.f64 i i)) |
(pow i 4) |
(pow.f64 i #s(literal 4 binary64)) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta i) (/.f64 alpha i)) #s(literal 1 binary64)) (pow.f64 i #s(literal 4 binary64))) |
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (+ (* -1 (/ (* alpha beta) i)) (* -1 (/ (pow (+ alpha beta) 2) i)))) i)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) (neg.f64 (fma.f64 alpha (/.f64 beta i) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i)))) i)) (pow.f64 i #s(literal 4 binary64))) |
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (* -1 (/ (+ (* -1 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ alpha beta))) i)) i))) i)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 beta alpha) beta) alpha) i)) i))) i)) (pow.f64 i #s(literal 4 binary64))) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(*.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 i i)) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)))) |
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (+.f64 beta alpha) #s(literal -4 binary64) (/.f64 (neg.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i)) i)) (*.f64 i i)) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)))) |
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (+.f64 beta alpha) #s(literal -4 binary64) (/.f64 (neg.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i)) i)) (*.f64 i i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 157 |
| 0 | 29 | 127 |
| 1 | 146 | 127 |
| 2 | 1503 | 127 |
| 0 | 8180 | 117 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) |
(*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
| Outputs |
|---|
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Compiled 107 375 to 4 812 computations (95.5% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 382 | 14 | 1 396 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 1 383 | 14 | 1 397 |
| Status | Accuracy | Program |
|---|---|---|
| 39.2% | (/.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| ▶ | 13.7% | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) (* 2 i)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)))) #s(literal 1 binary64))) |
| 8.5% | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 #s(approx (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (neg.f64 beta))) beta)) (*.f64 beta beta))) #s(literal 1 binary64))) | |
| 15.5% | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| ▶ | 22.6% | (/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
| 17.1% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 alpha i) i)) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| ▶ | 32.5% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
| 36.7% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| 44.0% | (*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)) (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(literal -1 binary64))) | |
| 39.8% | (*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (*.f64 (+.f64 (+.f64 alpha beta) i) i)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64)))) #s(literal -1 binary64))) | |
| 44.1% | (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) | |
| 12.2% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (fma.f64 (+.f64 alpha i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (*.f64 beta beta))) | |
| ▶ | 26.0% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) |
| ▶ | 75.9% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
Compiled 1 112 to 506 computations (54.5% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) | |
| cost-diff | 192 | (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) | |
| cost-diff | 512 | (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) | |
| cost-diff | 1152 | (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| cost-diff | 128 | (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) | |
| cost-diff | 128 | (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) | |
| cost-diff | 384 | (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) | |
| cost-diff | 128 | (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) | |
| cost-diff | 128 | (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) | |
| cost-diff | 128 | (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) | |
| cost-diff | 704 | (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) | |
| cost-diff | 0 | (+.f64 alpha i) | |
| cost-diff | 0 | (/.f64 (+.f64 alpha i) beta) | |
| cost-diff | 0 | (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)) | |
| cost-diff | 0 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) | |
| cost-diff | 0 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 894 |
| 0 | 111 | 834 |
| 1 | 234 | 834 |
| 2 | 755 | 829 |
| 3 | 3711 | 801 |
| 4 | 5713 | 734 |
| 0 | 8330 | 722 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(literal 1/16 binary64) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) |
(*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)) |
(/.f64 (+.f64 alpha i) beta) |
(+.f64 alpha i) |
alpha |
i |
beta |
(/.f64 i beta) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i)) |
(+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) |
#s(literal 1/4 binary64) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i) |
(*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) |
(fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) |
#s(literal 2 binary64) |
(+.f64 beta alpha) |
beta |
alpha |
(-.f64 (neg.f64 alpha) beta) |
(neg.f64 alpha) |
i |
(*.f64 i i) |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(+.f64 alpha beta) |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
i |
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) |
#s(literal 2 binary64) |
(+.f64 alpha beta) |
alpha |
beta |
(/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
(*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) |
(fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) |
(+.f64 (+.f64 alpha beta) i) |
(*.f64 alpha beta) |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) (* 2 i)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) |
(*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) |
(*.f64 i (+.f64 (+.f64 alpha beta) i)) |
i |
(+.f64 (+.f64 alpha beta) i) |
(+.f64 alpha beta) |
alpha |
beta |
(+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) |
(*.f64 beta alpha) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 2 binary64) |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) (* 2 i)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)))) #s(literal 1 binary64)) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) (* 2 i)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)))) |
#s(approx (+ (+ alpha beta) (* 2 i)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) |
(/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) |
(fma.f64 #s(literal 2 binary64) i beta) |
#s(literal -1 binary64) |
(neg.f64 alpha) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(literal 1/16 binary64) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (/.f64 i beta) beta) (+.f64 alpha i))) |
(*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)) |
(*.f64 (/.f64 (/.f64 i beta) beta) (+.f64 alpha i)) |
(/.f64 (+.f64 alpha i) beta) |
(+.f64 alpha i) |
alpha |
i |
beta |
(/.f64 i beta) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (*.f64 i i) (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (*.f64 i i) (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i)) |
(*.f64 (*.f64 i i) (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) |
(+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) |
(fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i) |
(*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) |
(*.f64 (+.f64 beta alpha) #s(literal 1/4 binary64)) |
(fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) |
(+.f64 beta alpha) |
#s(literal 2 binary64) |
(+.f64 beta alpha) |
beta |
alpha |
(-.f64 (neg.f64 alpha) beta) |
(neg.f64 alpha) |
i |
(*.f64 i i) |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64)) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
(*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) |
(+.f64 alpha beta) |
(+.f64 beta alpha) |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 1 binary64) |
(/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (*.f64 (+.f64 beta i) (+.f64 alpha i)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 (+.f64 (+.f64 beta alpha) i) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 alpha i)) (+.f64 (+.f64 beta alpha) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
i |
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) |
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) |
#s(literal 2 binary64) |
(+.f64 alpha beta) |
(+.f64 beta alpha) |
alpha |
beta |
(/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
(/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 alpha i)) (+.f64 (+.f64 beta alpha) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
(*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) |
(*.f64 (*.f64 (+.f64 beta i) (+.f64 alpha i)) (+.f64 (+.f64 beta alpha) i)) |
(fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) |
(*.f64 (+.f64 beta i) (+.f64 alpha i)) |
(+.f64 (+.f64 alpha beta) i) |
(+.f64 (+.f64 beta alpha) i) |
(*.f64 alpha beta) |
(*.f64 beta alpha) |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64)) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
(*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) (* 2 i)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (+.f64 (+.f64 beta alpha) i) (fma.f64 #s(approx (+ (+ alpha beta) (* 2 i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 (*.f64 (+.f64 beta i) (+.f64 alpha i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 alpha i)) (+.f64 (+.f64 beta alpha) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) |
(*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) (*.f64 (+.f64 beta i) (+.f64 alpha i))) |
(*.f64 i (+.f64 (+.f64 alpha beta) i)) |
(*.f64 (+.f64 (+.f64 beta alpha) i) i) |
i |
(+.f64 (+.f64 alpha beta) i) |
(+.f64 (+.f64 beta alpha) i) |
(+.f64 alpha beta) |
(+.f64 beta alpha) |
alpha |
beta |
(+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) |
(*.f64 (+.f64 beta i) (+.f64 alpha i)) |
(*.f64 beta alpha) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
(*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 2 binary64) |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) (* 2 i)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)))) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (+ alpha beta) (* 2 i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64)) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) (* 2 i)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)))) |
(*.f64 #s(approx (+ (+ alpha beta) (* 2 i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
#s(approx (+ (+ alpha beta) (* 2 i)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha))) |
#s(approx (+ (+ alpha beta) (* 2 i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)) |
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha)) |
(/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) |
(fma.f64 #s(literal 2 binary64) i beta) |
#s(literal -1 binary64) |
(neg.f64 alpha) |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08041000976844201 | (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) | |
| accuracy | 30.08182163989329 | (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)) | |
| accuracy | 35.37367466449744 | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) (* 2 i)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)))) #s(literal 1 binary64))) | |
| accuracy | 46.68769950257844 | (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) | |
| accuracy | 0.06640625 | (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) | |
| accuracy | 4.54077566892143 | (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) | |
| accuracy | 12.056955374906963 | (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) | |
| accuracy | 35.37367466449744 | (/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| accuracy | 0.01171875 | (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i) | |
| accuracy | 0.04296875 | (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i)) | |
| accuracy | 11.696601433389562 | #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i))) | |
| accuracy | 35.37367466449744 | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| accuracy | 0 | (/.f64 i beta) | |
| accuracy | 0 | (+.f64 alpha i) | |
| accuracy | 0.26009750976844204 | (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)) | |
| accuracy | 47.24823397617466 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) | |
| accuracy | 15.446924614680428 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
| 116.0ms | 256× | 0 | valid |
Compiled 1 505 to 102 computations (93.2% saved)
ival-mult: 25.0ms (41.3% of total)ival-add: 16.0ms (26.4% of total)ival-div: 14.0ms (23.1% of total)ival-sub: 2.0ms (3.3% of total)exact: 1.0ms (1.7% of total)ival-neg: 1.0ms (1.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)) (patch (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 alpha i) beta) (patch (/.f64 (+.f64 alpha i) beta) #<representation binary64>) () ()) |
#s(alt (+.f64 alpha i) (patch (+.f64 alpha i) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) (patch (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (patch (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (patch (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) (patch (/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)) (patch (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)) #<representation binary64>) () ()) |
#s(alt (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) (patch (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (patch (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 i beta) (patch (/.f64 i beta) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) (patch (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i))) (patch #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i))) #<representation binary64>) () ()) |
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| Outputs |
|---|
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | beta | @ | inf | ((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (+ alpha i) (+ (* 2 (+ beta alpha)) (- (neg alpha) beta)) (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (/ (* (/ i (+ (* 2 i) (+ alpha beta))) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ (* (/ (+ (* 2 i) beta) alpha) -1) -1) (neg alpha)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* (/ (+ (* 2 i) beta) alpha) -1) -1) (/ i beta) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (* (/ i (+ (* 2 i) (+ alpha beta))) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta)))) (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) |
| 17.0ms | alpha | @ | inf | ((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (+ alpha i) (+ (* 2 (+ beta alpha)) (- (neg alpha) beta)) (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (/ (* (/ i (+ (* 2 i) (+ alpha beta))) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ (* (/ (+ (* 2 i) beta) alpha) -1) -1) (neg alpha)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* (/ (+ (* 2 i) beta) alpha) -1) -1) (/ i beta) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (* (/ i (+ (* 2 i) (+ alpha beta))) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta)))) (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) |
| 11.0ms | alpha | @ | 0 | ((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (+ alpha i) (+ (* 2 (+ beta alpha)) (- (neg alpha) beta)) (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (/ (* (/ i (+ (* 2 i) (+ alpha beta))) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ (* (/ (+ (* 2 i) beta) alpha) -1) -1) (neg alpha)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* (/ (+ (* 2 i) beta) alpha) -1) -1) (/ i beta) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (* (/ i (+ (* 2 i) (+ alpha beta))) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta)))) (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) |
| 9.0ms | beta | @ | -inf | ((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (+ alpha i) (+ (* 2 (+ beta alpha)) (- (neg alpha) beta)) (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (/ (* (/ i (+ (* 2 i) (+ alpha beta))) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ (* (/ (+ (* 2 i) beta) alpha) -1) -1) (neg alpha)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* (/ (+ (* 2 i) beta) alpha) -1) -1) (/ i beta) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (* (/ i (+ (* 2 i) (+ alpha beta))) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta)))) (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) |
| 8.0ms | i | @ | inf | ((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (+ alpha i) (+ (* 2 (+ beta alpha)) (- (neg alpha) beta)) (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (/ (* (/ i (+ (* 2 i) (+ alpha beta))) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (+ (* (/ (+ (* 2 i) beta) alpha) -1) -1) (neg alpha)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (* (/ (+ (* 2 i) beta) alpha) -1) -1) (/ i beta) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (* (/ i (+ (* 2 i) (+ alpha beta))) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta)))) (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1663 | 50928 |
| 1 | 5901 | 49922 |
| 0 | 8550 | 45954 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(+ (* beta (- (+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 4 alpha) (* 8 i)))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))))) (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(+ (* beta (- (+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 4 alpha) (* 8 i)))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))))) (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
(- (* 2 alpha) alpha) |
(- (+ beta (* 2 alpha)) alpha) |
(- (+ beta (* 2 alpha)) alpha) |
(- (+ beta (* 2 alpha)) alpha) |
(+ 1/4 (* 1/4 (/ (- (* 2 alpha) alpha) i))) |
(+ 1/4 (+ (* 1/4 (/ beta i)) (* 1/4 (/ (- (* 2 alpha) alpha) i)))) |
(+ 1/4 (+ (* 1/4 (/ beta i)) (* 1/4 (/ (- (* 2 alpha) alpha) i)))) |
(+ 1/4 (+ (* 1/4 (/ beta i)) (* 1/4 (/ (- (* 2 alpha) alpha) i)))) |
(- (pow (+ alpha (* 2 i)) 2) 1) |
(- (+ (* beta (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1) |
(- (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) 1) |
(- (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) 1) |
(+ alpha (* 2 i)) |
(+ alpha (+ beta (* 2 i))) |
(+ alpha (+ beta (* 2 i))) |
(+ alpha (+ beta (* 2 i))) |
(* i (+ alpha i)) |
(+ (* beta (+ alpha i)) (* i (+ alpha i))) |
(+ (* beta (+ alpha i)) (* i (+ alpha i))) |
(+ (* beta (+ alpha i)) (* i (+ alpha i))) |
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(* (pow i 2) (pow (+ alpha i) 2)) |
(+ (* beta (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2)))) (* (pow i 2) (pow (+ alpha i) 2))) |
(+ (* beta (+ (* beta (* i (+ alpha i))) (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))))) (* (pow i 2) (pow (+ alpha i) 2))) |
(+ (* beta (+ (* beta (* i (+ alpha i))) (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))))) (* (pow i 2) (pow (+ alpha i) 2))) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
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(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
beta |
(* beta (- (+ 1 (* 2 (/ alpha beta))) (/ alpha beta))) |
(* beta (- (+ 1 (* 2 (/ alpha beta))) (/ alpha beta))) |
(* beta (- (+ 1 (* 2 (/ alpha beta))) (/ alpha beta))) |
(* 1/4 (/ beta i)) |
(* beta (+ (* 1/4 (/ (- (* 2 (/ alpha i)) (/ alpha i)) beta)) (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 i))))) |
(* beta (+ (* 1/4 (/ (- (* 2 (/ alpha i)) (/ alpha i)) beta)) (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 i))))) |
(* beta (+ (* 1/4 (/ (- (* 2 (/ alpha i)) (/ alpha i)) beta)) (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 i))))) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta))))) |
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2)))) |
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2)))) |
beta |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(* beta (+ alpha i)) |
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta)))) |
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta)))) |
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta)))) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
beta |
(* beta (+ 1 (* -1 (/ (* alpha (- (* -2 (/ i alpha)) 1)) beta)))) |
(* beta (+ 1 (* -1 (/ (* alpha (- (* -2 (/ i alpha)) 1)) beta)))) |
(* beta (+ 1 (* -1 (/ (* alpha (- (* -2 (/ i alpha)) 1)) beta)))) |
(* beta (+ alpha i)) |
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta)))) |
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta)))) |
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta)))) |
(* -1 (/ beta alpha)) |
(* beta (- (* -2 (/ i (* alpha beta))) (+ (/ 1 alpha) (/ 1 beta)))) |
(* beta (- (* -2 (/ i (* alpha beta))) (+ (/ 1 alpha) (/ 1 beta)))) |
(* beta (- (* -2 (/ i (* alpha beta))) (+ (/ 1 alpha) (/ 1 beta)))) |
(/ i beta) |
(/ i beta) |
(/ i beta) |
(/ i beta) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(* i (+ alpha i)) |
(- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) |
(- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(* 1/4 (* beta i)) |
(* beta (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta))) |
(* beta (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta))) |
(* beta (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta))) |
(* 1/4 (/ beta i)) |
(* beta (+ (* 1/4 (/ (- (* 2 (/ alpha i)) (/ alpha i)) beta)) (* 1/4 (/ 1 i)))) |
(* beta (+ (* 1/4 (/ (- (* 2 (/ alpha i)) (/ alpha i)) beta)) (* 1/4 (/ 1 i)))) |
(* beta (+ (* 1/4 (/ (- (* 2 (/ alpha i)) (/ alpha i)) beta)) (* 1/4 (/ 1 i)))) |
(* beta (+ alpha i)) |
(* beta (- (+ alpha (+ i (+ (/ (* i (+ alpha i)) beta) (/ (pow (+ alpha i) 2) beta)))) (/ (* (+ alpha i) (+ alpha (* 2 i))) beta))) |
(* beta (- (+ alpha (+ i (+ (/ (* i (+ alpha i)) beta) (+ (/ (* i (pow (+ alpha i) 2)) (pow beta 2)) (/ (pow (+ alpha i) 2) beta))))) (+ (/ (* (+ alpha i) (+ alpha (* 2 i))) beta) (/ (* (+ alpha (* 2 i)) (- (+ (* i (+ alpha i)) (pow (+ alpha i) 2)) (* (+ alpha i) (+ alpha (* 2 i))))) (pow beta 2))))) |
(* beta (- (+ alpha (+ i (+ (* -1 (/ (* (+ alpha (* 2 i)) (- (* i (pow (+ alpha i) 2)) (* (+ alpha (* 2 i)) (- (+ (* i (+ alpha i)) (pow (+ alpha i) 2)) (* (+ alpha i) (+ alpha (* 2 i))))))) (pow beta 3))) (+ (/ (* i (+ alpha i)) beta) (+ (/ (* i (pow (+ alpha i) 2)) (pow beta 2)) (/ (pow (+ alpha i) 2) beta)))))) (+ (/ (* (+ alpha i) (+ alpha (* 2 i))) beta) (/ (* (+ alpha (* 2 i)) (- (+ (* i (+ alpha i)) (pow (+ alpha i) 2)) (* (+ alpha i) (+ alpha (* 2 i))))) (pow beta 2))))) |
(* i (+ alpha i)) |
(- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) |
(- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(* (pow beta 2) (+ alpha i)) |
(* (pow beta 2) (+ alpha (+ i (+ (/ (* i (+ alpha i)) beta) (/ (pow (+ alpha i) 2) beta))))) |
(* (pow beta 2) (+ alpha (+ i (+ (/ (* i (+ alpha i)) beta) (+ (/ (* i (pow (+ alpha i) 2)) (pow beta 2)) (/ (pow (+ alpha i) 2) beta)))))) |
(* (pow beta 2) (+ alpha (+ i (+ (/ (* i (+ alpha i)) beta) (+ (/ (* i (pow (+ alpha i) 2)) (pow beta 2)) (/ (pow (+ alpha i) 2) beta)))))) |
(* i (+ alpha i)) |
(- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) |
(- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(* (pow beta 2) (* i (+ alpha i))) |
(* (pow beta 2) (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta))) |
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) |
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
beta |
(* -1 (* beta (- (* -1 (/ (- (* 2 alpha) alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (- (* 2 alpha) alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (- (* 2 alpha) alpha) beta)) 1))) |
(* 1/4 (/ beta i)) |
(* -1 (* beta (- (* -1 (/ (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i)))) beta)) (* 1/4 (/ 1 i))))) |
(* -1 (* beta (- (* -1 (/ (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i)))) beta)) (* 1/4 (/ 1 i))))) |
(* -1 (* beta (- (* -1 (/ (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i)))) beta)) (* 1/4 (/ 1 i))))) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta)))) |
beta |
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1))) |
(* -1 (* beta (+ (* -1 alpha) (* -1 i)))) |
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta)))))) |
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta)))))) |
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta)))))) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
beta |
(* -1 (* beta (- (/ (* alpha (- (* -2 (/ i alpha)) 1)) beta) 1))) |
(* -1 (* beta (- (/ (* alpha (- (* -2 (/ i alpha)) 1)) beta) 1))) |
(* -1 (* beta (- (/ (* alpha (- (* -2 (/ i alpha)) 1)) beta) 1))) |
(* -1 (* beta (+ (* -1 alpha) (* -1 i)))) |
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta)))))) |
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta)))))) |
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta)))))) |
(* -1 (/ beta alpha)) |
(* -1 (* beta (+ (* -1 (/ (- (* -2 (/ i alpha)) 1) beta)) (/ 1 alpha)))) |
(* -1 (* beta (+ (* -1 (/ (- (* -2 (/ i alpha)) 1) beta)) (/ 1 alpha)))) |
(* -1 (* beta (+ (* -1 (/ (- (* -2 (/ i alpha)) 1) beta)) (/ 1 alpha)))) |
(/ i beta) |
(/ i beta) |
(/ i beta) |
(/ i beta) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(* -1 (* i (+ (* -1 alpha) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(* 1/4 (* beta i)) |
(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta)) (* -1/4 i)))) |
(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta)) (* -1/4 i)))) |
(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta)) (* -1/4 i)))) |
(* 1/4 (/ beta i)) |
(* -1 (* beta (- (* -1/4 (/ (- (* 2 (/ alpha i)) (/ alpha i)) beta)) (* 1/4 (/ 1 i))))) |
(* -1 (* beta (- (* -1/4 (/ (- (* 2 (/ alpha i)) (/ alpha i)) beta)) (* 1/4 (/ 1 i))))) |
(* -1 (* beta (- (* -1/4 (/ (- (* 2 (/ alpha i)) (/ alpha i)) beta)) (* 1/4 (/ 1 i))))) |
(* -1 (* beta (+ (* -1 alpha) (* -1 i)))) |
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (* -1 (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta)))))) |
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (/ (- (* -1 (* i (pow (+ alpha i) 2))) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) beta))) (* -1 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta)))))) |
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (/ (- (+ (* -1 (* i (pow (+ alpha i) 2))) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (* i (pow (+ alpha i) 2))) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))))) beta))) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) beta))) (* -1 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta)))))) |
(* -1 (* i (+ (* -1 alpha) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(* -1 (* (pow beta 2) (+ (* -1 alpha) (* -1 i)))) |
(* (pow beta 2) (+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))) beta)))) |
(* (pow beta 2) (+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (+ (* -1 (* i (+ alpha i))) (+ (* -1 (/ (* i (pow (+ alpha i) 2)) beta)) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) beta)))) |
(* (pow beta 2) (+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (+ (* -1 (* i (+ alpha i))) (+ (* -1 (/ (* i (pow (+ alpha i) 2)) beta)) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) beta)))) |
(* -1 (* i (+ (* -1 alpha) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(* -1 (* (pow beta 2) (* i (+ (* -1 alpha) (* -1 i))))) |
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) beta)))) |
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta)))) |
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta)))) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
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(/ (pow i 2) (pow beta 2)) |
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2))) |
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2))) |
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2))) |
(/ i beta) |
(+ (/ alpha beta) (/ i beta)) |
(+ (/ alpha beta) (/ i beta)) |
(+ (/ alpha beta) (/ i beta)) |
i |
(+ alpha i) |
(+ alpha i) |
(+ alpha i) |
(- (* 2 beta) beta) |
(- (+ alpha (* 2 beta)) beta) |
(- (+ alpha (* 2 beta)) beta) |
(- (+ alpha (* 2 beta)) beta) |
(+ 1/4 (* 1/4 (/ (- (* 2 beta) beta) i))) |
(+ 1/4 (+ (* 1/4 (/ alpha i)) (* 1/4 (/ (- (* 2 beta) beta) i)))) |
(+ 1/4 (+ (* 1/4 (/ alpha i)) (* 1/4 (/ (- (* 2 beta) beta) i)))) |
(+ 1/4 (+ (* 1/4 (/ alpha i)) (* 1/4 (/ (- (* 2 beta) beta) i)))) |
(- (pow (+ beta (* 2 i)) 2) 1) |
(- (+ (* alpha (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1) |
(- (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) 1) |
(- (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) 1) |
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(* i (+ beta i)) |
(+ (* alpha (+ beta i)) (* i (+ beta i))) |
(+ (* alpha (+ beta i)) (* i (+ beta i))) |
(+ (* alpha (+ beta i)) (* i (+ beta i))) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
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(* i (+ beta i)) |
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(* -1 (/ (+ beta (* 2 i)) alpha)) |
(/ (+ (* -1 alpha) (* -1 (+ beta (* 2 i)))) alpha) |
(/ (+ (* -1 alpha) (* -1 (+ beta (* 2 i)))) alpha) |
(/ (+ (* -1 alpha) (* -1 (+ beta (* 2 i)))) alpha) |
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(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (* alpha i) (pow beta 2)) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(/ alpha beta) |
(* alpha (+ (/ 1 beta) (/ i (* alpha beta)))) |
(* alpha (+ (/ 1 beta) (/ i (* alpha beta)))) |
(* alpha (+ (/ 1 beta) (/ i (* alpha beta)))) |
alpha |
(* alpha (+ 1 (/ i alpha))) |
(* alpha (+ 1 (/ i alpha))) |
(* alpha (+ 1 (/ i alpha))) |
alpha |
(* alpha (- (+ 1 (* 2 (/ beta alpha))) (/ beta alpha))) |
(* alpha (- (+ 1 (* 2 (/ beta alpha))) (/ beta alpha))) |
(* alpha (- (+ 1 (* 2 (/ beta alpha))) (/ beta alpha))) |
(* 1/4 (/ alpha i)) |
(* alpha (+ (* 1/4 (/ (- (* 2 (/ beta i)) (/ beta i)) alpha)) (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 i))))) |
(* alpha (+ (* 1/4 (/ (- (* 2 (/ beta i)) (/ beta i)) alpha)) (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 i))))) |
(* alpha (+ (* 1/4 (/ (- (* 2 (/ beta i)) (/ beta i)) alpha)) (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 i))))) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha))))) |
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2)))) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(* alpha (+ beta i)) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(* alpha (+ beta i)) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
-1 |
(- (* -1 (/ (+ beta (* 2 i)) alpha)) 1) |
(- (* -1 (/ (+ beta (* 2 i)) alpha)) 1) |
(- (* -1 (/ (+ beta (* 2 i)) alpha)) 1) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(* i (+ beta i)) |
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha)) |
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(* 1/4 (* alpha i)) |
(* alpha (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha))) |
(* alpha (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha))) |
(* alpha (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha))) |
(* 1/4 (/ alpha i)) |
(* alpha (+ (* 1/4 (/ (- (* 2 (/ beta i)) (/ beta i)) alpha)) (* 1/4 (/ 1 i)))) |
(* alpha (+ (* 1/4 (/ (- (* 2 (/ beta i)) (/ beta i)) alpha)) (* 1/4 (/ 1 i)))) |
(* alpha (+ (* 1/4 (/ (- (* 2 (/ beta i)) (/ beta i)) alpha)) (* 1/4 (/ 1 i)))) |
(* alpha (+ beta i)) |
(* alpha (- (+ beta (+ i (+ (/ (* i (+ beta i)) alpha) (/ (pow (+ beta i) 2) alpha)))) (/ (* (+ beta i) (+ beta (* 2 i))) alpha))) |
(* alpha (- (+ beta (+ i (+ (/ (* i (+ beta i)) alpha) (+ (/ (* i (pow (+ beta i) 2)) (pow alpha 2)) (/ (pow (+ beta i) 2) alpha))))) (+ (/ (* (+ beta i) (+ beta (* 2 i))) alpha) (/ (* (+ beta (* 2 i)) (- (+ (* i (+ beta i)) (pow (+ beta i) 2)) (* (+ beta i) (+ beta (* 2 i))))) (pow alpha 2))))) |
(* alpha (- (+ beta (+ i (+ (* -1 (/ (* (+ beta (* 2 i)) (- (* i (pow (+ beta i) 2)) (* (+ beta (* 2 i)) (- (+ (* i (+ beta i)) (pow (+ beta i) 2)) (* (+ beta i) (+ beta (* 2 i))))))) (pow alpha 3))) (+ (/ (* i (+ beta i)) alpha) (+ (/ (* i (pow (+ beta i) 2)) (pow alpha 2)) (/ (pow (+ beta i) 2) alpha)))))) (+ (/ (* (+ beta i) (+ beta (* 2 i))) alpha) (/ (* (+ beta (* 2 i)) (- (+ (* i (+ beta i)) (pow (+ beta i) 2)) (* (+ beta i) (+ beta (* 2 i))))) (pow alpha 2))))) |
(* i (+ beta i)) |
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha)) |
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(* (pow alpha 2) (+ beta i)) |
(* (pow alpha 2) (+ beta (+ i (+ (/ (* i (+ beta i)) alpha) (/ (pow (+ beta i) 2) alpha))))) |
(* (pow alpha 2) (+ beta (+ i (+ (/ (* i (+ beta i)) alpha) (+ (/ (* i (pow (+ beta i) 2)) (pow alpha 2)) (/ (pow (+ beta i) 2) alpha)))))) |
(* (pow alpha 2) (+ beta (+ i (+ (/ (* i (+ beta i)) alpha) (+ (/ (* i (pow (+ beta i) 2)) (pow alpha 2)) (/ (pow (+ beta i) 2) alpha)))))) |
(* i (+ beta i)) |
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha)) |
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(* (pow alpha 2) (* i (+ beta i))) |
(* (pow alpha 2) (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha))) |
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) |
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (* alpha i) (pow beta 2)) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(/ alpha beta) |
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta)))) |
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta)))) |
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta)))) |
alpha |
(* -1 (* alpha (- (* -1 (/ i alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ i alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ i alpha)) 1))) |
alpha |
(* -1 (* alpha (- (* -1 (/ (- (* 2 beta) beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (- (* 2 beta) beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (- (* 2 beta) beta) alpha)) 1))) |
(* 1/4 (/ alpha i)) |
(* -1 (* alpha (- (* -1 (/ (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i)))) alpha)) (* 1/4 (/ 1 i))))) |
(* -1 (* alpha (- (* -1 (/ (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i)))) alpha)) (* 1/4 (/ 1 i))))) |
(* -1 (* alpha (- (* -1 (/ (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i)))) alpha)) (* 1/4 (/ 1 i))))) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha)))) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(* -1 (* alpha (+ (* -1 beta) (* -1 i)))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(* -1 (* alpha (+ (* -1 beta) (* -1 i)))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))) |
-1 |
(- (* -1 (/ (+ beta (* 2 i)) alpha)) 1) |
(- (* -1 (/ (+ beta (* 2 i)) alpha)) 1) |
(- (* -1 (/ (+ beta (* 2 i)) alpha)) 1) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(* -1 (* i (+ (* -1 beta) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(* 1/4 (* alpha i)) |
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)) (* -1/4 i)))) |
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)) (* -1/4 i)))) |
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)) (* -1/4 i)))) |
(* 1/4 (/ alpha i)) |
(* -1 (* alpha (- (* -1/4 (/ (- (* 2 (/ beta i)) (/ beta i)) alpha)) (* 1/4 (/ 1 i))))) |
(* -1 (* alpha (- (* -1/4 (/ (- (* 2 (/ beta i)) (/ beta i)) alpha)) (* 1/4 (/ 1 i))))) |
(* -1 (* alpha (- (* -1/4 (/ (- (* 2 (/ beta i)) (/ beta i)) alpha)) (* 1/4 (/ 1 i))))) |
(* -1 (* alpha (+ (* -1 beta) (* -1 i)))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (* -1 (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)))))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (/ (- (* -1 (* i (pow (+ beta i) 2))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) alpha))) (* -1 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)))))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (/ (- (+ (* -1 (* i (pow (+ beta i) 2))) (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (* i (pow (+ beta i) 2))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))))) alpha))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) alpha))) (* -1 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)))))) |
(* -1 (* i (+ (* -1 beta) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(* -1 (* (pow alpha 2) (+ (* -1 beta) (* -1 i)))) |
(* (pow alpha 2) (+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))) alpha)))) |
(* (pow alpha 2) (+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (+ (* -1 (* i (+ beta i))) (+ (* -1 (/ (* i (pow (+ beta i) 2)) alpha)) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha)))) |
(* (pow alpha 2) (+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (+ (* -1 (* i (+ beta i))) (+ (* -1 (/ (* i (pow (+ beta i) 2)) alpha)) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha)))) |
(* -1 (* i (+ (* -1 beta) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(* -1 (* (pow alpha 2) (* i (+ (* -1 beta) (* -1 i))))) |
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha)))) |
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha)))) |
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha)))) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(/ (* alpha i) (pow beta 2)) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(/ alpha beta) |
(+ (/ alpha beta) (/ i beta)) |
(+ (/ alpha beta) (/ i beta)) |
(+ (/ alpha beta) (/ i beta)) |
alpha |
(+ alpha i) |
(+ alpha i) |
(+ alpha i) |
(* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)) |
(/ (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta)))) i) |
(/ (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta)))) i) |
(/ (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta)))) i) |
(- (pow (+ alpha beta) 2) 1) |
(- (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) 1) |
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1) |
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1) |
(+ alpha beta) |
(+ alpha (+ beta (* 2 i))) |
(+ alpha (+ beta (* 2 i))) |
(+ alpha (+ beta (* 2 i))) |
(* alpha beta) |
(+ (* alpha beta) (* i (+ alpha beta))) |
(+ (* alpha beta) (* i (+ alpha (+ beta i)))) |
(+ (* alpha beta) (* i (+ alpha (+ beta i)))) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(+ (* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) (* 2 i)) |
(+ (* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) (* 2 i)) |
(+ (* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) (* 2 i)) |
(* alpha beta) |
(+ (* alpha beta) (* i (+ alpha beta))) |
(+ (* alpha beta) (* i (+ alpha (+ beta i)))) |
(+ (* alpha beta) (* i (+ alpha (+ beta i)))) |
(- (* -1 (/ beta alpha)) 1) |
(- (+ (* -2 (/ i alpha)) (* -1 (/ beta alpha))) 1) |
(- (+ (* -2 (/ i alpha)) (* -1 (/ beta alpha))) 1) |
(- (+ (* -2 (/ i alpha)) (* -1 (/ beta alpha))) 1) |
(/ i beta) |
(/ i beta) |
(/ i beta) |
(/ i beta) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(* 1/4 (* i (- (* 2 (+ alpha beta)) (+ alpha beta)))) |
(* i (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))))) |
(* i (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))))) |
(* i (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))))) |
(* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)) |
(* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)) |
(* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)) |
(* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)) |
(* alpha beta) |
(+ (* alpha beta) (* i (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))))) |
(+ (* alpha beta) (* i (- (+ alpha (+ beta (+ (* i (- (+ (* 2 (/ alpha (+ alpha beta))) (* 2 (/ beta (+ alpha beta)))) (* 2 (/ (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))) (+ alpha beta))))) (/ (* alpha beta) (+ alpha beta))))) (* 2 (/ (* alpha beta) (+ alpha beta)))))) |
(+ (* alpha beta) (* i (- (+ alpha (+ beta (+ (* i (- (+ (* 2 (/ alpha (+ alpha beta))) (+ (* 2 (/ beta (+ alpha beta))) (* i (- (/ 1 (+ alpha beta)) (* 2 (/ (- (+ (* 2 (/ alpha (+ alpha beta))) (* 2 (/ beta (+ alpha beta)))) (* 2 (/ (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))) (+ alpha beta)))) (+ alpha beta))))))) (* 2 (/ (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))) (+ alpha beta))))) (/ (* alpha beta) (+ alpha beta))))) (* 2 (/ (* alpha beta) (+ alpha beta)))))) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(* alpha (* beta (+ alpha beta))) |
(+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (pow (+ alpha beta) 2)))) |
(+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ (* 2 alpha) (* 2 beta))) (pow (+ alpha beta) 2))))) |
(+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ i (+ (* 2 alpha) (* 2 beta)))) (pow (+ alpha beta) 2))))) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* alpha (* beta (* i (+ alpha beta)))) |
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (pow (+ alpha beta) 2))))) |
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ (* 2 alpha) (* 2 beta))) (pow (+ alpha beta) 2)))))) |
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ i (+ (* 2 alpha) (* 2 beta)))) (pow (+ alpha beta) 2)))))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2)))))) |
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3))))))))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2)))))) |
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3))))))))) |
(/ (pow i 2) (pow beta 2)) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(/ i beta) |
(* i (+ (/ 1 beta) (/ alpha (* beta i)))) |
(* i (+ (/ 1 beta) (/ alpha (* beta i)))) |
(* i (+ (/ 1 beta) (/ alpha (* beta i)))) |
i |
(* i (+ 1 (/ alpha i))) |
(* i (+ 1 (/ alpha i))) |
(* i (+ 1 (/ alpha i))) |
1/4 |
(+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i))) |
(+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i))) |
(+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i))) |
(* 4 (pow i 2)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2)))) |
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2)))) |
(* 2 i) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(pow i 2) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2)))))) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2)))))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2)))))) |
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3))))))))) |
(* 2 i) |
(* i (+ 2 (* -1 (/ (* alpha (- (* -1 (/ beta alpha)) 1)) i)))) |
(* i (+ 2 (* -1 (/ (* alpha (- (* -1 (/ beta alpha)) 1)) i)))) |
(* i (+ 2 (* -1 (/ (* alpha (- (* -1 (/ beta alpha)) 1)) i)))) |
(pow i 2) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2)))))) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2)))))) |
(* -2 (/ i alpha)) |
(* i (- (* -1 (/ beta (* alpha i))) (+ (* 2 (/ 1 alpha)) (/ 1 i)))) |
(* i (- (* -1 (/ beta (* alpha i))) (+ (* 2 (/ 1 alpha)) (/ 1 i)))) |
(* i (- (* -1 (/ beta (* alpha i))) (+ (* 2 (/ 1 alpha)) (/ 1 i)))) |
(/ i beta) |
(/ i beta) |
(/ i beta) |
(/ i beta) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2)))))) |
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3))))))))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)) |
(* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)) |
(* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)) |
(* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)) |
(* 1/2 (pow i 2)) |
(* (pow i 2) (- (+ 1/2 (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (- (+ 1/2 (+ (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/2 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
(* (pow i 2) (- (+ 1/2 (+ (* 1/2 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/2 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/2 (* (+ alpha beta) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3))))))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))) |
(pow i 3) |
(* (pow i 3) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i))))) |
(* (pow i 3) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (/ (pow (+ alpha beta) 2) (pow i 2))))))) |
(* (pow i 3) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (+ (/ (* alpha (* beta (+ alpha beta))) (pow i 3)) (/ (pow (+ alpha beta) 2) (pow i 2)))))))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2)))))) |
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3))))))))) |
(pow i 4) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i))))) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (/ (pow (+ alpha beta) 2) (pow i 2))))))) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (+ (/ (* alpha (* beta (+ alpha beta))) (pow i 3)) (/ (pow (+ alpha beta) 2) (pow i 2)))))))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(/ (pow i 2) (pow beta 2)) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(/ i beta) |
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta)))) |
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta)))) |
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta)))) |
i |
(* -1 (* i (- (* -1 (/ alpha i)) 1))) |
(* -1 (* i (- (* -1 (/ alpha i)) 1))) |
(* -1 (* i (- (* -1 (/ alpha i)) 1))) |
1/4 |
(+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i))) |
(+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i))) |
(+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i))) |
(* 4 (pow i 2)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i)))) |
(* 2 i) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(pow i 2) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i)))) |
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i)))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(* 2 i) |
(* -1 (* i (- (/ (* alpha (- (* -1 (/ beta alpha)) 1)) i) 2))) |
(* -1 (* i (- (/ (* alpha (- (* -1 (/ beta alpha)) 1)) i) 2))) |
(* -1 (* i (- (/ (* alpha (- (* -1 (/ beta alpha)) 1)) i) 2))) |
(pow i 2) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i)))) |
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i)))) |
(* -2 (/ i alpha)) |
(* -1 (* i (+ (* -1 (/ (- (* -1 (/ beta alpha)) 1) i)) (* 2 (/ 1 alpha))))) |
(* -1 (* i (+ (* -1 (/ (- (* -1 (/ beta alpha)) 1) i)) (* 2 (/ 1 alpha))))) |
(* -1 (* i (+ (* -1 (/ (- (* -1 (/ beta alpha)) 1) i)) (* 2 (/ 1 alpha))))) |
(/ i beta) |
(/ i beta) |
(/ i beta) |
(/ i beta) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i)))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)) |
(* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)) |
(* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)) |
(* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)) |
(* 1/2 (pow i 2)) |
(* (pow i 2) (+ 1/2 (* -1 (/ (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta))) i)))) |
(* (pow i 2) (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta)))))) i)) (* -1/2 (+ (* 2 alpha) (* 2 beta)))) (* -1/4 (+ alpha beta))) i)))) |
(* (pow i 2) (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* alpha (* beta (+ alpha beta)))) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta))))))))) i)) (* -1/2 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))))) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta)))))) i)) (* -1/2 (+ (* 2 alpha) (* 2 beta)))) (* -1/4 (+ alpha beta))) i)))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i)))) |
(pow i 3) |
(* -1 (* (pow i 3) (- (* -1 (/ (+ (* 2 alpha) (* 2 beta)) i)) 1))) |
(* -1 (* (pow i 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i)) (+ (* 2 alpha) (* 2 beta))) i)) 1))) |
(* -1 (* (pow i 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* alpha beta)) (+ (* -1 (/ (* alpha (* beta (+ alpha beta))) i)) (* -1 (pow (+ alpha beta) 2)))) i)) (+ (* 2 alpha) (* 2 beta))) i)) 1))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i)))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(pow i 4) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i))))) |
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (+ (* -1 (/ (* alpha beta) i)) (* -1 (/ (pow (+ alpha beta) 2) i)))) i)))) |
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (* -1 (/ (+ (* -1 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ alpha beta))) i)) i))) i)))) |
| Outputs |
|---|
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
(*.f64 (/.f64 (*.f64 i i) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) |
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) i) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))))) beta (*.f64 (/.f64 (*.f64 i i) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))))) |
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))) (/.f64 (*.f64 i i) (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) i) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))))) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))))) beta (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) i) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64)))))) beta (*.f64 (/.f64 (*.f64 i i) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))))) |
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
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(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) |
(+ alpha (+ beta (* 2 i))) |
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) |
(+ alpha (+ beta (* 2 i))) |
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) |
(* i (+ alpha i)) |
(*.f64 (+.f64 alpha i) i) |
(+ (* beta (+ alpha i)) (* i (+ alpha i))) |
(*.f64 (+.f64 alpha i) (+.f64 beta i)) |
(+ (* beta (+ alpha i)) (* i (+ alpha i))) |
(*.f64 (+.f64 alpha i) (+.f64 beta i)) |
(+ (* beta (+ alpha i)) (* i (+ alpha i))) |
(*.f64 (+.f64 alpha i) (+.f64 beta i)) |
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
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(+ (* beta (- (+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 4 alpha) (* 8 i)))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))))) (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)) |
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(* i (pow (+ alpha i) 2)) |
(*.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) i) |
(+ (* beta (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (pow (+ alpha i) 2))) |
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(+ (* beta (+ (* beta (+ alpha i)) (+ (* i (+ alpha i)) (pow (+ alpha i) 2)))) (* i (pow (+ alpha i) 2))) |
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(+ (* beta (+ (* beta (+ alpha i)) (+ (* i (+ alpha i)) (pow (+ alpha i) 2)))) (* i (pow (+ alpha i) 2))) |
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)) |
(/.f64 (*.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) |
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2))) |
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
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(* 1/4 (* beta i)) |
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(* beta (+ alpha i)) |
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(* beta (- (+ alpha (+ i (+ (/ (* i (+ alpha i)) beta) (+ (/ (* i (pow (+ alpha i) 2)) (pow beta 2)) (/ (pow (+ alpha i) 2) beta))))) (+ (/ (* (+ alpha i) (+ alpha (* 2 i))) beta) (/ (* (+ alpha (* 2 i)) (- (+ (* i (+ alpha i)) (pow (+ alpha i) 2)) (* (+ alpha i) (+ alpha (* 2 i))))) (pow beta 2))))) |
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(* beta (- (+ alpha (+ i (+ (* -1 (/ (* (+ alpha (* 2 i)) (- (* i (pow (+ alpha i) 2)) (* (+ alpha (* 2 i)) (- (+ (* i (+ alpha i)) (pow (+ alpha i) 2)) (* (+ alpha i) (+ alpha (* 2 i))))))) (pow beta 3))) (+ (/ (* i (+ alpha i)) beta) (+ (/ (* i (pow (+ alpha i) 2)) (pow beta 2)) (/ (pow (+ alpha i) 2) beta)))))) (+ (/ (* (+ alpha i) (+ alpha (* 2 i))) beta) (/ (* (+ alpha (* 2 i)) (- (+ (* i (+ alpha i)) (pow (+ alpha i) 2)) (* (+ alpha i) (+ alpha (* 2 i))))) (pow beta 2))))) |
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(* i (+ alpha i)) |
(*.f64 (+.f64 alpha i) i) |
(- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) |
(-.f64 (fma.f64 (+.f64 alpha i) i (/.f64 (*.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) i) beta)) (/.f64 (*.f64 (*.f64 (+.f64 alpha i) i) (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64)))) beta)) |
(- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
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(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(-.f64 (-.f64 (fma.f64 (+.f64 alpha i) i (fma.f64 (/.f64 (*.f64 i i) beta) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) beta) (/.f64 (*.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) i) beta))) (/.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 i i)) (fma.f64 (*.f64 i (-.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (+.f64 alpha i)))) (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 alpha i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))))) (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (*.f64 (*.f64 i (-.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (+.f64 alpha i)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (pow.f64 beta #s(literal 3 binary64)))) (fma.f64 i (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (+.f64 alpha i)) beta) (fma.f64 (*.f64 i (/.f64 (+.f64 alpha i) beta)) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) beta) (/.f64 (*.f64 (*.f64 i (-.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (+.f64 alpha i)))) (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta))))) |
(* (pow beta 2) (+ alpha i)) |
(*.f64 (*.f64 beta beta) (+.f64 alpha i)) |
(* (pow beta 2) (+ alpha (+ i (+ (/ (* i (+ alpha i)) beta) (/ (pow (+ alpha i) 2) beta))))) |
(*.f64 (+.f64 (+.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) beta)) i) alpha) (*.f64 beta beta)) |
(* (pow beta 2) (+ alpha (+ i (+ (/ (* i (+ alpha i)) beta) (+ (/ (* i (pow (+ alpha i) 2)) (pow beta 2)) (/ (pow (+ alpha i) 2) beta)))))) |
(*.f64 (+.f64 (+.f64 alpha i) (fma.f64 i (/.f64 (+.f64 alpha i) beta) (fma.f64 (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) beta) (/.f64 i beta) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) beta)))) (*.f64 beta beta)) |
(* (pow beta 2) (+ alpha (+ i (+ (/ (* i (+ alpha i)) beta) (+ (/ (* i (pow (+ alpha i) 2)) (pow beta 2)) (/ (pow (+ alpha i) 2) beta)))))) |
(*.f64 (+.f64 (+.f64 alpha i) (fma.f64 i (/.f64 (+.f64 alpha i) beta) (fma.f64 (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) beta) (/.f64 i beta) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) beta)))) (*.f64 beta beta)) |
(* i (+ alpha i)) |
(*.f64 (+.f64 alpha i) i) |
(- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) |
(-.f64 (fma.f64 (+.f64 alpha i) i (/.f64 (*.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) i) beta)) (/.f64 (*.f64 (*.f64 (+.f64 alpha i) i) (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64)))) beta)) |
(- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
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(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
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(/ (* i (+ alpha i)) (pow beta 2)) |
(*.f64 (/.f64 i beta) (/.f64 (+.f64 alpha i) beta)) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
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(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/.f64 (-.f64 (fma.f64 (+.f64 alpha i) i (fma.f64 (/.f64 (*.f64 i i) beta) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) beta) (/.f64 (*.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) i) beta))) (fma.f64 i (/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta) (fma.f64 (*.f64 i (/.f64 (+.f64 alpha i) beta)) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) beta) (/.f64 (*.f64 (*.f64 i (-.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)))) (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha))) (*.f64 beta beta))))) (*.f64 beta beta)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
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(* (pow beta 2) (* i (+ alpha i))) |
(*.f64 (*.f64 (*.f64 beta beta) i) (+.f64 alpha i)) |
(* (pow beta 2) (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta))) |
(*.f64 (fma.f64 (+.f64 alpha i) i (/.f64 (*.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) i) beta)) (*.f64 beta beta)) |
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) |
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(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) |
(*.f64 (fma.f64 (+.f64 alpha i) i (fma.f64 (/.f64 (*.f64 i i) beta) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) beta) (/.f64 (*.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) i) beta))) (*.f64 beta beta)) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(*.f64 (/.f64 (neg.f64 i) beta) (/.f64 (-.f64 (neg.f64 i) alpha) beta)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
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(* -1 (* beta (+ (* -1 alpha) (* -1 i)))) |
(*.f64 (neg.f64 beta) (-.f64 (neg.f64 i) alpha)) |
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (* -1 (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta)))))) |
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(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (/ (- (* -1 (* i (pow (+ alpha i) 2))) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) beta))) (* -1 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta)))))) |
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(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (/ (- (+ (* -1 (* i (pow (+ alpha i) 2))) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (* i (pow (+ alpha i) 2))) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))))) beta))) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) beta))) (* -1 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta)))))) |
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(* -1 (* i (+ (* -1 alpha) (* -1 i)))) |
(*.f64 (neg.f64 i) (-.f64 (neg.f64 i) alpha)) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
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(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
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(* -1 (* (pow beta 2) (+ (* -1 alpha) (* -1 i)))) |
(*.f64 (neg.f64 (*.f64 beta beta)) (-.f64 (neg.f64 i) alpha)) |
(* (pow beta 2) (+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))) beta)))) |
(*.f64 (-.f64 (neg.f64 (-.f64 (neg.f64 i) alpha)) (/.f64 (fma.f64 (-.f64 (neg.f64 i) alpha) (+.f64 alpha i) (*.f64 (neg.f64 i) (+.f64 alpha i))) beta)) (*.f64 beta beta)) |
(* (pow beta 2) (+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (+ (* -1 (* i (+ alpha i))) (+ (* -1 (/ (* i (pow (+ alpha i) 2)) beta)) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) beta)))) |
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(* (pow beta 2) (+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (+ (* -1 (* i (+ alpha i))) (+ (* -1 (/ (* i (pow (+ alpha i) 2)) beta)) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) beta)))) |
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(* -1 (* i (+ (* -1 alpha) (* -1 i)))) |
(*.f64 (neg.f64 i) (-.f64 (neg.f64 i) alpha)) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
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(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
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(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
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(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(*.f64 (/.f64 (neg.f64 i) beta) (/.f64 (-.f64 (neg.f64 i) alpha) beta)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/.f64 (neg.f64 (fma.f64 (-.f64 (neg.f64 i) alpha) i (/.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 i) alpha) (+.f64 alpha i) (*.f64 (neg.f64 i) (+.f64 alpha i))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (-.f64 (neg.f64 i) alpha)))) beta))) (*.f64 beta beta)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
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(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
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(+ beta (* 2 i)) |
(fma.f64 #s(literal 2 binary64) i beta) |
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(*.f64 (+.f64 beta i) i) |
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(*.f64 (+.f64 beta i) (+.f64 alpha i)) |
(* -1 (/ (+ beta (* 2 i)) alpha)) |
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(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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(+ (* alpha (- (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 4 beta) (* 8 i)))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))))) (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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#s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 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2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))) (/.f64 (*.f64 i i) (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) alpha (*.f64 (/.f64 (*.f64 i i) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)) |
(/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) |
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (fma.f64 i (/.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 i i)) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (/.f64 (fma.f64 i (/.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 i i)) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (fma.f64 i (/.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 i i)) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (/.f64 (fma.f64 i (/.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 i i)) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (/.f64 (fma.f64 i (/.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 i i)) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))))) alpha (fma.f64 i (/.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 i i)) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 beta) beta) i)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) beta) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i)) |
(+ (* 1/4 (* alpha i)) (* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 beta) beta) i))))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) beta) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i) (*.f64 (*.f64 alpha i) #s(literal 1/4 binary64))) |
(+ (* 1/4 (* alpha i)) (* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 beta) beta) i))))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) beta) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i) (*.f64 (*.f64 alpha i) #s(literal 1/4 binary64))) |
(+ (* 1/4 (* alpha i)) (* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 beta) beta) i))))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) beta) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i) (*.f64 (*.f64 alpha i) #s(literal 1/4 binary64))) |
(* 1/4 (/ (- (* 2 beta) beta) i)) |
(*.f64 (/.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) beta) i) #s(literal 1/4 binary64)) |
(+ (* 1/4 (/ alpha i)) (* 1/4 (/ (- (* 2 beta) beta) i))) |
(*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 alpha i) (/.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) beta) i))) |
(+ (* 1/4 (/ alpha i)) (* 1/4 (/ (- (* 2 beta) beta) i))) |
(*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 alpha i) (/.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) beta) i))) |
(+ (* 1/4 (/ alpha i)) (* 1/4 (/ (- (* 2 beta) beta) i))) |
(*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 alpha i) (/.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) beta) i))) |
(/ (* i (pow (+ beta i) 2)) (+ beta (* 2 i))) |
(/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) i) (fma.f64 #s(literal 2 binary64) i beta)) |
(+ (* alpha (- (+ (/ (* i (+ beta i)) (+ beta (* 2 i))) (/ (pow (+ beta i) 2) (+ beta (* 2 i)))) (/ (* i (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (pow (+ beta i) 2)) (+ beta (* 2 i)))) |
(fma.f64 (-.f64 (fma.f64 i (/.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) i) (fma.f64 #s(literal 2 binary64) i beta))) |
(+ (* alpha (- (+ (* alpha (- (+ (/ beta (+ beta (* 2 i))) (+ (/ i (+ beta (* 2 i))) (/ (* i (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 3)))) (+ (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (/ (pow (+ beta i) 2) (pow (+ beta (* 2 i)) 2))))) (+ (/ (* i (+ beta i)) (+ beta (* 2 i))) (/ (pow (+ beta i) 2) (+ beta (* 2 i))))) (/ (* i (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (pow (+ beta i) 2)) (+ beta (* 2 i)))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 i (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 3 binary64))) (/.f64 i (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 i (/.f64 (+.f64 beta i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))) alpha (-.f64 (fma.f64 i (/.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) i) (fma.f64 #s(literal 2 binary64) i beta))) |
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (+ (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 3)) (/ (pow (+ beta i) 2) (pow (+ beta (* 2 i)) 3))) (+ (/ beta (pow (+ beta (* 2 i)) 2)) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ (* i (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4)))))) (+ (/ beta (+ beta (* 2 i))) (+ (/ i (+ beta (* 2 i))) (/ (* i (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 3))))) (+ (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (/ (pow (+ beta i) 2) (pow (+ beta (* 2 i)) 2))))) (+ (/ (* i (+ beta i)) (+ beta (* 2 i))) (/ (pow (+ beta i) 2) (+ beta (* 2 i))))) (/ (* i (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (pow (+ beta i) 2)) (+ beta (* 2 i)))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 i (/.f64 (+.f64 beta i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 3 binary64)))) (+.f64 (fma.f64 i (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))) (/.f64 i (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))) alpha (-.f64 (+.f64 (fma.f64 i (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 3 binary64))) (/.f64 i (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 i (/.f64 (+.f64 beta i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))))) alpha (-.f64 (fma.f64 i (/.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) i) (fma.f64 #s(literal 2 binary64) i beta))) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)) |
(/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) |
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (fma.f64 i (/.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 i i)) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (/.f64 (fma.f64 i (/.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 i i)) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (fma.f64 i (/.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 i i)) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (/.f64 (fma.f64 i (/.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 i i)) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (/.f64 (fma.f64 i (/.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 i i)) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))))) alpha (fma.f64 i (/.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 i i)) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) |
(* i (pow (+ beta i) 2)) |
(*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) i) |
(+ (* alpha (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (pow (+ beta i) 2))) |
(fma.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) alpha (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) i)) |
(+ (* alpha (+ (* alpha (+ beta i)) (+ (* i (+ beta i)) (pow (+ beta i) 2)))) (* i (pow (+ beta i) 2))) |
(fma.f64 (fma.f64 (+.f64 beta i) (+.f64 alpha i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) alpha (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) i)) |
(+ (* alpha (+ (* alpha (+ beta i)) (+ (* i (+ beta i)) (pow (+ beta i) 2)))) (* i (pow (+ beta i) 2))) |
(fma.f64 (fma.f64 (+.f64 beta i) (+.f64 alpha i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) alpha (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) i)) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)) |
(/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) |
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (fma.f64 i (/.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 i i)) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (/.f64 (fma.f64 i (/.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 i i)) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (fma.f64 i (/.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 i i)) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (/.f64 (fma.f64 i (/.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 i i)) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (/.f64 (fma.f64 i (/.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 i i)) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))))) alpha (fma.f64 i (/.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (*.f64 (neg.f64 (*.f64 i i)) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
(*.f64 (/.f64 (*.f64 i i) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))) (/.f64 (*.f64 i i) (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) alpha (*.f64 (/.f64 (*.f64 i i) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))) |
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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(+ (* alpha (- (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 4 beta) (* 8 i)))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))))) (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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(* (pow i 2) (pow (+ beta i) 2)) |
(*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) |
(+ (* alpha (* i (+ (* i (+ beta i)) (pow (+ beta i) 2)))) (* (pow i 2) (pow (+ beta i) 2))) |
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(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2))) |
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(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2))) |
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(/ (* i (+ beta i)) (pow alpha 2)) |
(*.f64 (/.f64 (+.f64 beta i) alpha) (/.f64 i alpha)) |
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alpha |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 i alpha) #s(literal 2 binary64) (/.f64 beta alpha)) #s(literal 1 binary64)) alpha) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 i alpha) #s(literal 2 binary64) (/.f64 beta alpha)) #s(literal 1 binary64)) alpha) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 i alpha) #s(literal 2 binary64) (/.f64 beta alpha)) #s(literal 1 binary64)) alpha) |
(* alpha (+ beta i)) |
(*.f64 (+.f64 beta i) alpha) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
(*.f64 (+.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) i) beta) alpha) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
(*.f64 (+.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) i) beta) alpha) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
(*.f64 (+.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) i) beta) alpha) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (+ beta (* 2 i)) alpha)) 1) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) |
(- (* -1 (/ (+ beta (* 2 i)) alpha)) 1) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) |
(- (* -1 (/ (+ beta (* 2 i)) alpha)) 1) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(*.f64 (/.f64 (+.f64 beta i) alpha) (/.f64 i alpha)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
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(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
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(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
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(* i (+ beta i)) |
(*.f64 (+.f64 beta i) i) |
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha)) |
(-.f64 (fma.f64 (+.f64 beta i) i (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) alpha)) (/.f64 (*.f64 (*.f64 (+.f64 beta i) i) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64)))) alpha)) |
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
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(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
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(* 1/4 (* alpha i)) |
(*.f64 (*.f64 alpha i) #s(literal 1/4 binary64)) |
(* alpha (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha))) |
(*.f64 (fma.f64 (*.f64 i i) (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) beta) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) alpha) (*.f64 #s(literal 1/4 binary64) i)) alpha) |
(* alpha (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha))) |
(*.f64 (fma.f64 (*.f64 i i) (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) beta) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) alpha) (*.f64 #s(literal 1/4 binary64) i)) alpha) |
(* alpha (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha))) |
(*.f64 (fma.f64 (*.f64 i i) (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) beta) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) alpha) (*.f64 #s(literal 1/4 binary64) i)) alpha) |
(* 1/4 (/ alpha i)) |
(*.f64 (/.f64 alpha i) #s(literal 1/4 binary64)) |
(* alpha (+ (* 1/4 (/ (- (* 2 (/ beta i)) (/ beta i)) alpha)) (* 1/4 (/ 1 i)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) beta) i) alpha) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) i)) alpha) |
(* alpha (+ (* 1/4 (/ (- (* 2 (/ beta i)) (/ beta i)) alpha)) (* 1/4 (/ 1 i)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) beta) i) alpha) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) i)) alpha) |
(* alpha (+ (* 1/4 (/ (- (* 2 (/ beta i)) (/ beta i)) alpha)) (* 1/4 (/ 1 i)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) beta) i) alpha) #s(literal 1/4 binary64) (/.f64 #s(literal 1/4 binary64) i)) alpha) |
(* alpha (+ beta i)) |
(*.f64 (+.f64 beta i) alpha) |
(* alpha (- (+ beta (+ i (+ (/ (* i (+ beta i)) alpha) (/ (pow (+ beta i) 2) alpha)))) (/ (* (+ beta i) (+ beta (* 2 i))) alpha))) |
(*.f64 (-.f64 (+.f64 (+.f64 beta i) (fma.f64 i (/.f64 (+.f64 beta i) alpha) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) alpha))) (*.f64 (+.f64 beta i) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))) alpha) |
(* alpha (- (+ beta (+ i (+ (/ (* i (+ beta i)) alpha) (+ (/ (* i (pow (+ beta i) 2)) (pow alpha 2)) (/ (pow (+ beta i) 2) alpha))))) (+ (/ (* (+ beta i) (+ beta (* 2 i))) alpha) (/ (* (+ beta (* 2 i)) (- (+ (* i (+ beta i)) (pow (+ beta i) 2)) (* (+ beta i) (+ beta (* 2 i))))) (pow alpha 2))))) |
(*.f64 (-.f64 (+.f64 (+.f64 beta i) (fma.f64 i (/.f64 (+.f64 beta i) alpha) (fma.f64 (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) alpha) (/.f64 i alpha) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) alpha)))) (fma.f64 (+.f64 beta i) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (/.f64 (*.f64 (-.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 alpha alpha)))) alpha) |
(* alpha (- (+ beta (+ i (+ (* -1 (/ (* (+ beta (* 2 i)) (- (* i (pow (+ beta i) 2)) (* (+ beta (* 2 i)) (- (+ (* i (+ beta i)) (pow (+ beta i) 2)) (* (+ beta i) (+ beta (* 2 i))))))) (pow alpha 3))) (+ (/ (* i (+ beta i)) alpha) (+ (/ (* i (pow (+ beta i) 2)) (pow alpha 2)) (/ (pow (+ beta i) 2) alpha)))))) (+ (/ (* (+ beta i) (+ beta (* 2 i))) alpha) (/ (* (+ beta (* 2 i)) (- (+ (* i (+ beta i)) (pow (+ beta i) 2)) (* (+ beta i) (+ beta (* 2 i))))) (pow alpha 2))))) |
(*.f64 (-.f64 (+.f64 (+.f64 beta i) (-.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) (fma.f64 (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) alpha) (/.f64 i alpha) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) alpha))) (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) i) (*.f64 (-.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 #s(literal 2 binary64) i beta)) (pow.f64 alpha #s(literal 3 binary64))))) (fma.f64 (+.f64 beta i) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (/.f64 (*.f64 (-.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 alpha alpha)))) alpha) |
(* i (+ beta i)) |
(*.f64 (+.f64 beta i) i) |
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha)) |
(-.f64 (fma.f64 (+.f64 beta i) i (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) alpha)) (/.f64 (*.f64 (*.f64 (+.f64 beta i) i) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64)))) alpha)) |
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(-.f64 (fma.f64 (+.f64 beta i) i (fma.f64 (/.f64 (*.f64 i i) alpha) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) alpha))) (fma.f64 i (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 beta i)) alpha) (fma.f64 (/.f64 (*.f64 (+.f64 beta i) i) alpha) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 (*.f64 i (-.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 beta i)))) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64)))) (*.f64 alpha alpha))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(-.f64 (-.f64 (fma.f64 (+.f64 beta i) i (fma.f64 (/.f64 (*.f64 i i) alpha) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) alpha))) (/.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (fma.f64 (*.f64 i (-.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 beta i)))) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (*.f64 i (-.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 beta i)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 i (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 beta i)) alpha) (fma.f64 (/.f64 (*.f64 (+.f64 beta i) i) alpha) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 (*.f64 i (-.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 beta i)))) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64)))) (*.f64 alpha alpha))))) |
(* (pow alpha 2) (+ beta i)) |
(*.f64 (*.f64 alpha alpha) (+.f64 beta i)) |
(* (pow alpha 2) (+ beta (+ i (+ (/ (* i (+ beta i)) alpha) (/ (pow (+ beta i) 2) alpha))))) |
(*.f64 (+.f64 (+.f64 beta i) (fma.f64 i (/.f64 (+.f64 beta i) alpha) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) alpha))) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ beta (+ i (+ (/ (* i (+ beta i)) alpha) (+ (/ (* i (pow (+ beta i) 2)) (pow alpha 2)) (/ (pow (+ beta i) 2) alpha)))))) |
(*.f64 (+.f64 (+.f64 beta i) (fma.f64 i (/.f64 (+.f64 beta i) alpha) (fma.f64 (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) alpha) (/.f64 i alpha) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) alpha)))) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ beta (+ i (+ (/ (* i (+ beta i)) alpha) (+ (/ (* i (pow (+ beta i) 2)) (pow alpha 2)) (/ (pow (+ beta i) 2) alpha)))))) |
(*.f64 (+.f64 (+.f64 beta i) (fma.f64 i (/.f64 (+.f64 beta i) alpha) (fma.f64 (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) alpha) (/.f64 i alpha) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) alpha)))) (*.f64 alpha alpha)) |
(* i (+ beta i)) |
(*.f64 (+.f64 beta i) i) |
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha)) |
(-.f64 (fma.f64 (+.f64 beta i) i (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) alpha)) (/.f64 (*.f64 (*.f64 (+.f64 beta i) i) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64)))) alpha)) |
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(-.f64 (fma.f64 (+.f64 beta i) i (fma.f64 (/.f64 (*.f64 i i) alpha) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) alpha))) (fma.f64 i (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 beta i)) alpha) (fma.f64 (/.f64 (*.f64 (+.f64 beta i) i) alpha) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 (*.f64 i (-.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 beta i)))) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64)))) (*.f64 alpha alpha))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(-.f64 (-.f64 (fma.f64 (+.f64 beta i) i (fma.f64 (/.f64 (*.f64 i i) alpha) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) alpha))) (/.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (fma.f64 (*.f64 i (-.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 beta i)))) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (*.f64 i (-.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 beta i)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 i (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 beta i)) alpha) (fma.f64 (/.f64 (*.f64 (+.f64 beta i) i) alpha) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 (*.f64 i (-.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 beta i)))) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64)))) (*.f64 alpha alpha))))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(*.f64 (/.f64 (+.f64 beta i) alpha) (/.f64 i alpha)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/.f64 (-.f64 (fma.f64 (+.f64 beta i) i (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) alpha)) (/.f64 (*.f64 (*.f64 (+.f64 beta i) i) (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta))) alpha)) (*.f64 alpha alpha)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/.f64 (-.f64 (fma.f64 (+.f64 beta i) i (fma.f64 (/.f64 (*.f64 i i) alpha) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) alpha))) (fma.f64 i (/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta)) (+.f64 beta i)) alpha) (fma.f64 (/.f64 (*.f64 (+.f64 beta i) i) alpha) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) alpha) (/.f64 (*.f64 (*.f64 i (-.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta)) (+.f64 beta i)))) (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta))) (*.f64 alpha alpha))))) (*.f64 alpha alpha)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/.f64 (-.f64 (-.f64 (fma.f64 (+.f64 beta i) i (fma.f64 (/.f64 (*.f64 i i) alpha) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) alpha))) (/.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (+.f64 beta i)) i (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (fma.f64 (*.f64 i (-.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta)) (+.f64 beta i)))) (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta)) (*.f64 (*.f64 (+.f64 beta i) i) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))))) (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta)) (*.f64 (*.f64 i (-.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta)) (+.f64 beta i)))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))))) (pow.f64 alpha #s(literal 3 binary64)))) (fma.f64 i (/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta)) (+.f64 beta i)) alpha) (fma.f64 (/.f64 (*.f64 (+.f64 beta i) i) alpha) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) alpha) (/.f64 (*.f64 (*.f64 i (-.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta)) (+.f64 beta i)))) (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta))) (*.f64 alpha alpha))))) (*.f64 alpha alpha)) |
(* (pow alpha 2) (* i (+ beta i))) |
(*.f64 (*.f64 (*.f64 alpha alpha) i) (+.f64 beta i)) |
(* (pow alpha 2) (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha))) |
(*.f64 (fma.f64 (+.f64 beta i) i (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) alpha)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) |
(*.f64 (fma.f64 (+.f64 beta i) i (fma.f64 (/.f64 (*.f64 i i) alpha) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) alpha))) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) |
(*.f64 (fma.f64 (+.f64 beta i) i (fma.f64 (/.f64 (*.f64 i i) alpha) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) alpha) (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) alpha))) (*.f64 alpha alpha)) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(*.f64 (/.f64 (neg.f64 i) alpha) (/.f64 (-.f64 (neg.f64 beta) i) alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
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(* -1 (* alpha (- (* -1/4 (/ (- (* 2 (/ beta i)) (/ beta i)) alpha)) (* 1/4 (/ 1 i))))) |
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(* -1 (* alpha (- (* -1/4 (/ (- (* 2 (/ beta i)) (/ beta i)) alpha)) (* 1/4 (/ 1 i))))) |
(*.f64 (neg.f64 alpha) (-.f64 (*.f64 (/.f64 (/.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) beta) i) alpha) #s(literal -1/4 binary64)) (/.f64 #s(literal 1/4 binary64) i))) |
(* -1 (* alpha (+ (* -1 beta) (* -1 i)))) |
(*.f64 (neg.f64 alpha) (-.f64 (neg.f64 beta) i)) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (* -1 (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)))))) |
(*.f64 (neg.f64 alpha) (-.f64 (-.f64 (neg.f64 beta) i) (/.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 beta) i) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) #s(literal -1 binary64) (*.f64 (-.f64 (neg.f64 beta) i) (fma.f64 #s(literal 2 binary64) i beta))) alpha))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (/ (- (* -1 (* i (pow (+ beta i) 2))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) alpha))) (* -1 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)))))) |
(*.f64 (neg.f64 alpha) (-.f64 (-.f64 (neg.f64 beta) i) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 (-.f64 (neg.f64 beta) i) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) (/.f64 (fma.f64 (neg.f64 i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 beta) i) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) #s(literal -1 binary64) (*.f64 (-.f64 (neg.f64 beta) i) (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 #s(literal 2 binary64) i beta))) alpha)) (*.f64 (-.f64 (neg.f64 beta) i) (fma.f64 #s(literal 2 binary64) i beta))) alpha))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (/ (- (+ (* -1 (* i (pow (+ beta i) 2))) (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (* i (pow (+ beta i) 2))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))))) alpha))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) alpha))) (* -1 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)))))) |
(*.f64 (neg.f64 alpha) (-.f64 (-.f64 (neg.f64 beta) i) (/.f64 (+.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) i (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (/.f64 (fma.f64 (neg.f64 i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 beta) i) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) #s(literal -1 binary64) (*.f64 (-.f64 (neg.f64 beta) i) (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 #s(literal 2 binary64) i beta))) alpha))) (*.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 beta) i) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) #s(literal -1 binary64) (*.f64 (-.f64 (neg.f64 beta) i) (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 #s(literal 2 binary64) i beta))) alpha)) (fma.f64 (-.f64 (neg.f64 beta) i) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i)))) (*.f64 (-.f64 (neg.f64 beta) i) (fma.f64 #s(literal 2 binary64) i beta))) alpha))) |
(* -1 (* i (+ (* -1 beta) (* -1 i)))) |
(*.f64 (neg.f64 i) (-.f64 (neg.f64 beta) i)) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(neg.f64 (fma.f64 (-.f64 (neg.f64 beta) i) i (/.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 beta) i) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i)))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(neg.f64 (fma.f64 (-.f64 (neg.f64 beta) i) i (/.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 beta) i) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i)))) (fma.f64 #s(literal 2 binary64) i beta)))) (*.f64 (*.f64 i (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (-.f64 (neg.f64 beta) i))) alpha) #s(literal -1 binary64) (fma.f64 (fma.f64 (-.f64 (neg.f64 beta) i) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(neg.f64 (fma.f64 (-.f64 (neg.f64 beta) i) i (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (/.f64 (+.f64 (fma.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 beta) i) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i)))) (fma.f64 #s(literal 2 binary64) i beta)))) (*.f64 (*.f64 i (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (-.f64 (neg.f64 beta) i))) alpha)) #s(literal -2 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (/.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 beta) i) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i)))) alpha) (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i))) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 (-.f64 (neg.f64 beta) i) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i)))) (*.f64 (neg.f64 i) (*.f64 (-.f64 (neg.f64 beta) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))))) alpha) #s(literal -1 binary64) (fma.f64 (fma.f64 (-.f64 (neg.f64 beta) i) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i))))) alpha))) |
(* -1 (* (pow alpha 2) (+ (* -1 beta) (* -1 i)))) |
(*.f64 (neg.f64 (*.f64 alpha alpha)) (-.f64 (neg.f64 beta) i)) |
(* (pow alpha 2) (+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))) alpha)))) |
(*.f64 (-.f64 (neg.f64 (-.f64 (neg.f64 beta) i)) (/.f64 (fma.f64 (-.f64 (neg.f64 beta) i) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) alpha)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (+ (* -1 (* i (+ beta i))) (+ (* -1 (/ (* i (pow (+ beta i) 2)) alpha)) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha)))) |
(*.f64 (-.f64 (neg.f64 (-.f64 (neg.f64 beta) i)) (/.f64 (fma.f64 (neg.f64 i) (+.f64 beta i) (fma.f64 (-.f64 (neg.f64 beta) i) (+.f64 beta i) (/.f64 (*.f64 (neg.f64 i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) alpha))) alpha)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (+ (* -1 (* i (+ beta i))) (+ (* -1 (/ (* i (pow (+ beta i) 2)) alpha)) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha)))) |
(*.f64 (-.f64 (neg.f64 (-.f64 (neg.f64 beta) i)) (/.f64 (fma.f64 (neg.f64 i) (+.f64 beta i) (fma.f64 (-.f64 (neg.f64 beta) i) (+.f64 beta i) (/.f64 (*.f64 (neg.f64 i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) alpha))) alpha)) (*.f64 alpha alpha)) |
(* -1 (* i (+ (* -1 beta) (* -1 i)))) |
(*.f64 (neg.f64 i) (-.f64 (neg.f64 beta) i)) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(neg.f64 (fma.f64 (-.f64 (neg.f64 beta) i) i (/.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 beta) i) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i)))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(neg.f64 (fma.f64 (-.f64 (neg.f64 beta) i) i (/.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 beta) i) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i)))) (fma.f64 #s(literal 2 binary64) i beta)))) (*.f64 (*.f64 i (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (-.f64 (neg.f64 beta) i))) alpha) #s(literal -1 binary64) (fma.f64 (fma.f64 (-.f64 (neg.f64 beta) i) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(neg.f64 (fma.f64 (-.f64 (neg.f64 beta) i) i (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (/.f64 (+.f64 (fma.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 beta) i) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i)))) (fma.f64 #s(literal 2 binary64) i beta)))) (*.f64 (*.f64 i (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (-.f64 (neg.f64 beta) i))) alpha)) #s(literal -2 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (/.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 beta) i) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i)))) alpha) (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i))) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 (-.f64 (neg.f64 beta) i) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i)))) (*.f64 (neg.f64 i) (*.f64 (-.f64 (neg.f64 beta) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))))) alpha) #s(literal -1 binary64) (fma.f64 (fma.f64 (-.f64 (neg.f64 beta) i) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i))))) alpha))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(*.f64 (/.f64 (neg.f64 i) alpha) (/.f64 (-.f64 (neg.f64 beta) i) alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/.f64 (neg.f64 (fma.f64 (-.f64 (neg.f64 beta) i) i (/.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 beta) i) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i)))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/.f64 (neg.f64 (fma.f64 (-.f64 (neg.f64 beta) i) i (/.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 beta) i) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i)))) (fma.f64 #s(literal 2 binary64) i beta)))) (*.f64 (*.f64 (-.f64 (neg.f64 beta) i) i) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)))) alpha) #s(literal -1 binary64) (fma.f64 (fma.f64 (-.f64 (neg.f64 beta) i) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (neg.f64 beta) i))))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
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(* -1 (* (pow alpha 2) (* i (+ (* -1 beta) (* -1 i))))) |
(*.f64 (neg.f64 (*.f64 alpha alpha)) (*.f64 (-.f64 (neg.f64 beta) i) i)) |
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha)))) |
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(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha)))) |
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(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha)))) |
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(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(*.f64 (/.f64 (*.f64 beta i) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 alpha (+.f64 beta alpha))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) i (*.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (+.f64 beta alpha)))) i) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 32 binary64) (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (fma.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) (/.f64 (-.f64 (fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 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#s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))) (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))))) i)) (fma.f64 (/.f64 (*.f64 beta alpha) (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (*.f64 (-.f64 (fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))) i (-.f64 (fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))))) i (*.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (+.f64 beta alpha)))) i) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(*.f64 (/.f64 (*.f64 beta i) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 alpha (+.f64 beta alpha))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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#s(literal 20 binary64))) (/.f64 (-.f64 (fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 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#s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))) (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 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alpha |
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(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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#s(literal 20 binary64))) (/.f64 (-.f64 (fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 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(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
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(* alpha beta) |
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(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
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(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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#s(literal 20 binary64))) (/.f64 (-.f64 (fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 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alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))))) i (*.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (+.f64 beta alpha)))) i) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(/.f64 (*.f64 (*.f64 beta alpha) i) (+.f64 beta alpha)) |
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
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(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
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(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
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(* 1/4 (* i (- (* 2 (+ alpha beta)) (+ alpha beta)))) |
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(* alpha beta) |
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(+ (* alpha beta) (* i (- (+ alpha (+ beta (+ (* i (- (+ (* 2 (/ alpha (+ alpha beta))) (* 2 (/ beta (+ alpha beta)))) (* 2 (/ (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))) (+ alpha beta))))) (/ (* alpha beta) (+ alpha beta))))) (* 2 (/ (* alpha beta) (+ alpha beta)))))) |
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(+ (* alpha beta) (* i (- (+ alpha (+ beta (+ (* i (- (+ (* 2 (/ alpha (+ alpha beta))) (+ (* 2 (/ beta (+ alpha beta))) (* i (- (/ 1 (+ alpha beta)) (* 2 (/ (- (+ (* 2 (/ alpha (+ alpha beta))) (* 2 (/ beta (+ alpha beta)))) (* 2 (/ (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))) (+ alpha beta)))) (+ alpha beta))))))) (* 2 (/ (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))) (+ alpha beta))))) (/ (* alpha beta) (+ alpha beta))))) (* 2 (/ (* alpha beta) (+ alpha beta)))))) |
(fma.f64 (-.f64 (+.f64 (+.f64 beta alpha) (fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (+.f64 beta alpha)) (/.f64 beta (+.f64 beta alpha))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta alpha)) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (+.f64 beta alpha)) (/.f64 beta (+.f64 beta alpha))) (*.f64 #s(literal -2 binary64) (/.f64 (-.f64 (+.f64 (fma.f64 alpha (/.f64 beta (+.f64 beta alpha)) beta) alpha) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 beta alpha)) (+.f64 beta alpha))) (+.f64 beta alpha)))) (+.f64 beta alpha)) #s(literal 2 binary64))) i)) (*.f64 (/.f64 (-.f64 (+.f64 (fma.f64 alpha (/.f64 beta (+.f64 beta alpha)) beta) alpha) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 beta alpha)) (+.f64 beta alpha))) (+.f64 beta alpha)) #s(literal 2 binary64))) i (*.f64 alpha (/.f64 beta (+.f64 beta alpha))))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 beta alpha)) (+.f64 beta alpha))) i (*.f64 beta alpha)) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(/.f64 (*.f64 (*.f64 beta alpha) i) (+.f64 beta alpha)) |
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (*.f64 alpha (/.f64 beta (+.f64 beta alpha)))) i) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(*.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (*.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 beta alpha))))) i (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (*.f64 alpha (/.f64 beta (+.f64 beta alpha)))) i) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(*.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (*.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 beta alpha))))) (+.f64 beta alpha))))) i)) (*.f64 #s(literal 4 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 beta alpha))))) i (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (*.f64 alpha (/.f64 beta (+.f64 beta alpha)))) i) |
(* alpha (* beta (+ alpha beta))) |
(*.f64 (*.f64 (+.f64 beta alpha) beta) alpha) |
(+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (pow (+ alpha beta) 2)))) |
(fma.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i (*.f64 (*.f64 (+.f64 beta alpha) beta) alpha)) |
(+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ (* 2 alpha) (* 2 beta))) (pow (+ alpha beta) 2))))) |
(fma.f64 (fma.f64 beta alpha (fma.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (*.f64 (*.f64 (+.f64 beta alpha) beta) alpha)) |
(+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ i (+ (* 2 alpha) (* 2 beta)))) (pow (+ alpha beta) 2))))) |
(fma.f64 (fma.f64 beta alpha (fma.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) i) i (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (*.f64 (*.f64 (+.f64 beta alpha) beta) alpha)) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(/.f64 (*.f64 (*.f64 beta alpha) i) (+.f64 beta alpha)) |
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (*.f64 alpha (/.f64 beta (+.f64 beta alpha)))) i) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
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(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(*.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (*.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 beta alpha))))) (+.f64 beta alpha))))) i)) (*.f64 #s(literal 4 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 beta alpha))))) i (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (*.f64 alpha (/.f64 beta (+.f64 beta alpha)))) i) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(*.f64 (/.f64 (*.f64 beta i) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 alpha (+.f64 beta alpha))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) i (*.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (+.f64 beta alpha)))) i) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))))) (fma.f64 (/.f64 (*.f64 beta alpha) (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (*.f64 (-.f64 (fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))) i (-.f64 (fma.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))))) i (*.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (+.f64 beta alpha)))) i) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* (pow i 2) (- (+ 1/2 (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal 1/2 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/4 binary64))) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/2 (+ (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/2 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
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(* (pow i 2) (- (+ 1/2 (+ (* 1/2 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/2 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/2 (* (+ alpha beta) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3))))))) |
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(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
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(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))) |
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(pow i 3) |
(pow.f64 i #s(literal 3 binary64)) |
(* (pow i 3) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i)) #s(literal 1 binary64)) (pow.f64 i #s(literal 3 binary64))) |
(* (pow i 3) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (/ (pow (+ alpha beta) 2) (pow i 2))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i)) (fma.f64 (/.f64 alpha i) (/.f64 beta i) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i)))) #s(literal 1 binary64)) (pow.f64 i #s(literal 3 binary64))) |
(* (pow i 3) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (+ (/ (* alpha (* beta (+ alpha beta))) (pow i 3)) (/ (pow (+ alpha beta) 2) (pow i 2)))))))) |
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(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
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(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))) |
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1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) i)) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2)))))) |
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(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3))))))))) |
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(pow i 4) |
(pow.f64 i #s(literal 4 binary64)) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i))))) |
(*.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i)) #s(literal 1 binary64))) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (/ (pow (+ alpha beta) 2) (pow i 2))))))) |
(*.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i)) (fma.f64 (/.f64 alpha i) (/.f64 beta i) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i)))) #s(literal 1 binary64))) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (+ (/ (* alpha (* beta (+ alpha beta))) (pow i 3)) (/ (pow (+ alpha beta) 2) (pow i 2)))))))) |
(*.f64 (pow.f64 i #s(literal 4 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i)) (fma.f64 (/.f64 alpha i) (/.f64 beta i) (fma.f64 alpha (/.f64 (*.f64 (+.f64 beta alpha) beta) (pow.f64 i #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i))))) #s(literal 1 binary64))) |
1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) i)) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
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1/16 |
#s(literal 1/16 binary64) |
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i |
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1/4 |
#s(literal 1/4 binary64) |
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1/16 |
#s(literal 1/16 binary64) |
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(* 2 i) |
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(/.f64 i beta) |
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1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
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(* 1/4 (pow i 2)) |
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(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
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(* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)) |
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(* 1/2 (pow i 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 i i)) |
(* (pow i 2) (+ 1/2 (* -1 (/ (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta))) i)))) |
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(* (pow i 2) (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta)))))) i)) (* -1/2 (+ (* 2 alpha) (* 2 beta)))) (* -1/4 (+ alpha beta))) i)))) |
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(* (pow i 2) (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* alpha (* beta (+ alpha beta)))) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta))))))))) i)) (* -1/2 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))))) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta)))))) i)) (* -1/2 (+ (* 2 alpha) (* 2 beta)))) (* -1/4 (+ alpha beta))) i)))) |
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(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
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(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i)))) |
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(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i)))) |
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(pow i 3) |
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(* -1 (* (pow i 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i)) (+ (* 2 alpha) (* 2 beta))) i)) 1))) |
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(* -1 (* (pow i 3) (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* alpha beta)) (+ (* -1 (/ (* alpha (* beta (+ alpha beta))) i)) (* -1 (pow (+ alpha beta) 2)))) i)) (+ (* 2 alpha) (* 2 beta))) i)) 1))) |
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(* 1/4 (pow i 2)) |
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(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i) #s(literal 1/4 binary64) (neg.f64 (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)) #s(literal 1/4 binary64)))) (-.f64 (*.f64 (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal -1/16 binary64)) (*.f64 (+.f64 beta alpha) (*.f64 (/.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64))))) i)) (*.f64 i i)) |
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 (fma.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)) #s(literal 1/4 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta alpha) beta) alpha) i) #s(literal 1/4 binary64) (neg.f64 (-.f64 (fma.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)) #s(literal 1/4 binary64)) (+.f64 beta alpha))) (*.f64 #s(literal -1/16 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))) (fma.f64 (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 (/.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64))) #s(literal 1/4 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (fma.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/4 binary64) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)) #s(literal 1/4 binary64)) (+.f64 beta alpha))) (*.f64 #s(literal -1/16 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 beta alpha)) i)))) i))) i)) (*.f64 i i)) |
1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) i)) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (+.f64 beta alpha)) i) #s(literal -2 binary64) (*.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i) #s(literal -1/256 binary64)))) i)) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))) (/.f64 (-.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta alpha) beta) alpha) i) #s(literal 1/16 binary64)) (-.f64 (*.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (*.f64 #s(literal -1/256 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))))))) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (*.f64 #s(literal -1/256 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64)))))) (+.f64 beta alpha)) i) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64)))) i) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 #s(literal -4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) i) #s(literal -1/256 binary64))))) i)) i)) |
(pow i 4) |
(pow.f64 i #s(literal 4 binary64)) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i))))) |
(*.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i)) #s(literal 1 binary64))) |
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (+ (* -1 (/ (* alpha beta) i)) (* -1 (/ (pow (+ alpha beta) 2) i)))) i)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (fma.f64 alpha (/.f64 beta i) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i))) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i)) (pow.f64 i #s(literal 4 binary64))) |
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (* -1 (/ (+ (* -1 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ alpha beta))) i)) i))) i)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (/.f64 (fma.f64 alpha (/.f64 (*.f64 (+.f64 beta alpha) beta) i) (neg.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))) i))) i)) (pow.f64 i #s(literal 4 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 629 |
| 0 | 111 | 531 |
| 1 | 473 | 531 |
| 2 | 4661 | 531 |
| 0 | 8819 | 526 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) |
(*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)) |
(/.f64 (+.f64 alpha i) beta) |
(+.f64 alpha i) |
(fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) |
(+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) |
(/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)) |
(+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) |
(/.f64 i beta) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i)) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i) |
(/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
(*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) |
(/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) |
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) (* 2 i)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)))) #s(literal 1 binary64))) |
(*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) |
| Outputs |
|---|
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Compiled 138 889 to 6 371 computations (95.4% saved)
22 alts after pruning (21 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 195 | 18 | 2 213 |
| Fresh | 6 | 3 | 9 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 205 | 22 | 2 227 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 15.5% | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
| 33.0% | (/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (*.f64 i i) (fma.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)) (/.f64 #s(literal 1/4 binary64) i) #s(literal 1/4 binary64)))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) | |
| 22.7% | (/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)))) | |
| 22.7% | (/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (*.f64 #s(approx (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (*.f64 (+.f64 beta i) i)) (+.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| 10.5% | (/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(approx (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (*.f64 beta (+.f64 alpha i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| 17.1% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 alpha i) i)) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| 12.7% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 alpha i) i)) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) (* 2 i)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)))) #s(literal 1 binary64))) | |
| ▶ | 36.7% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
| ▶ | 32.5% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)))) i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
| 24.1% | (*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (+.f64 (+.f64 beta alpha) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)))) | |
| 12.2% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (fma.f64 (+.f64 alpha i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (*.f64 beta beta))) | |
| 26.1% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i))) | |
| ▶ | 26.0% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)) |
| 14.1% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 beta beta))) | |
| 19.4% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 alpha i) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta i)))) | |
| 25.9% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 alpha i)) (/.f64 beta i)))) | |
| 24.6% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (exp.f64 (*.f64 (log.f64 (/.f64 beta i)) #s(literal -1 binary64))))) | |
| 19.6% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 (/.f64 i beta) beta))) | |
| ▶ | 14.7% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta)))) |
| 23.1% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))) | |
| 11.2% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))) | |
| ✓ | 75.9% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
Compiled 1 050 to 587 computations (44.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 i (+.f64 (+.f64 alpha beta) i)) | |
| cost-diff | 0 | (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) | |
| cost-diff | 128 | (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) | |
| cost-diff | 128 | (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)))) i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| cost-diff | 128 | (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) | |
| cost-diff | 128 | (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) | |
| cost-diff | 704 | (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)) | |
| cost-diff | 0 | (/.f64 (+.f64 alpha i) beta) | |
| cost-diff | 0 | (*.f64 (/.f64 (+.f64 alpha i) beta) i) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta) | |
| cost-diff | 0 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)) | |
| cost-diff | 0 | (*.f64 beta beta) | |
| cost-diff | 0 | (/.f64 i (*.f64 beta beta)) | |
| cost-diff | 0 | (+.f64 alpha i) | |
| cost-diff | 0 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta)))) | |
| cost-diff | 0 | #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| cost-diff | 128 | (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) | |
| cost-diff | 128 | (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 922 |
| 0 | 98 | 915 |
| 1 | 215 | 915 |
| 2 | 678 | 915 |
| 3 | 3069 | 859 |
| 4 | 6875 | 813 |
| 0 | 8576 | 750 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) |
(*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i)) |
#s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 i i) |
i |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(+.f64 alpha beta) |
alpha |
beta |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta)))) |
(*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta))) |
(+.f64 alpha i) |
alpha |
i |
(/.f64 i (*.f64 beta beta)) |
(*.f64 beta beta) |
beta |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)) |
(/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta) |
(*.f64 (/.f64 (+.f64 alpha i) beta) i) |
(/.f64 (+.f64 alpha i) beta) |
(+.f64 alpha i) |
alpha |
i |
beta |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)))) i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)))) i))) |
#s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)))) i)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)))) i) |
(*.f64 #s(literal 1/4 binary64) (+.f64 i (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)))) |
#s(literal 1/4 binary64) |
(+.f64 i (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta))) |
i |
(fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)) |
(+.f64 beta alpha) |
beta |
alpha |
#s(literal 2 binary64) |
(-.f64 (neg.f64 alpha) beta) |
(neg.f64 alpha) |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(+.f64 alpha beta) |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) |
(*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) |
(*.f64 i (+.f64 (+.f64 alpha beta) i)) |
i |
(+.f64 (+.f64 alpha beta) i) |
(+.f64 alpha beta) |
alpha |
beta |
#s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i)) |
(*.f64 (+.f64 beta i) i) |
(+.f64 beta i) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 2 binary64) |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) i) i)) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) i) i)) |
(*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i)) |
(*.f64 (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) i) i) |
#s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 i i) |
i |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
(*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) |
(+.f64 alpha beta) |
alpha |
beta |
(*.f64 #s(literal 2 binary64) i) |
(*.f64 i #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (/.f64 (+.f64 i alpha) beta) beta) i)) |
(*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta))) |
(*.f64 (/.f64 (/.f64 (+.f64 i alpha) beta) beta) i) |
(+.f64 alpha i) |
(+.f64 i alpha) |
alpha |
i |
(/.f64 i (*.f64 beta beta)) |
(*.f64 beta beta) |
beta |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (/.f64 (+.f64 i alpha) beta) beta) i)) |
(/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta) |
(*.f64 (/.f64 (/.f64 (+.f64 i alpha) beta) beta) i) |
(*.f64 (/.f64 (+.f64 alpha i) beta) i) |
(*.f64 (/.f64 (+.f64 i alpha) beta) i) |
(/.f64 (+.f64 alpha i) beta) |
(/.f64 (+.f64 i alpha) beta) |
(+.f64 alpha i) |
(+.f64 i alpha) |
alpha |
i |
beta |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)))) i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 i #s(literal 1/4 binary64)) (+.f64 (+.f64 i alpha) beta)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)))) i))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 i #s(literal 1/4 binary64)) (+.f64 (+.f64 i alpha) beta)))) |
#s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)))) i)) |
#s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 i #s(literal 1/4 binary64)) (+.f64 (+.f64 i alpha) beta))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)))) i) |
(*.f64 (*.f64 i #s(literal 1/4 binary64)) (+.f64 (+.f64 i alpha) beta)) |
(*.f64 #s(literal 1/4 binary64) (+.f64 i (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)))) |
(*.f64 (+.f64 (+.f64 i alpha) beta) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(+.f64 i (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta))) |
(+.f64 (+.f64 i alpha) beta) |
i |
(fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)) |
(+.f64 alpha beta) |
(+.f64 beta alpha) |
(+.f64 alpha beta) |
beta |
alpha |
#s(literal 2 binary64) |
(-.f64 (neg.f64 alpha) beta) |
(neg.f64 alpha) |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
(*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) |
(+.f64 alpha beta) |
(*.f64 #s(literal 2 binary64) i) |
(*.f64 i #s(literal 2 binary64)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 i beta) i)) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64) (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 3 binary64))))) (+.f64 (+.f64 i alpha) beta)) i) |
(/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) |
(*.f64 (*.f64 (/.f64 i (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 i beta) i))) (/.f64 (+.f64 (+.f64 i alpha) beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) |
(*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) |
(*.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 i beta) i)) (*.f64 (+.f64 (+.f64 i alpha) beta) i)) |
(*.f64 i (+.f64 (+.f64 alpha beta) i)) |
(*.f64 (+.f64 (+.f64 i alpha) beta) i) |
i |
(+.f64 (+.f64 alpha beta) i) |
(+.f64 (+.f64 i alpha) beta) |
(+.f64 alpha beta) |
alpha |
beta |
#s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i)) |
#s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 i beta) i)) |
(*.f64 (+.f64 beta i) i) |
(*.f64 (+.f64 i beta) i) |
(+.f64 beta i) |
(+.f64 i beta) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
(*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) |
(*.f64 #s(literal 2 binary64) i) |
(*.f64 i #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08041000976844201 | (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) | |
| accuracy | 1.4616575056606864 | #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i)) | |
| accuracy | 35.37367466449744 | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| accuracy | 46.68769950257844 | (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) | |
| accuracy | 0 | #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)))) i)) | |
| accuracy | 0.0078125 | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) | |
| accuracy | 11.696601433389562 | #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)))) i))) | |
| accuracy | 35.37367466449744 | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)))) i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| accuracy | 0 | (+.f64 alpha i) | |
| accuracy | 0.14453125 | (*.f64 (/.f64 (+.f64 alpha i) beta) i) | |
| accuracy | 5.048552869086693 | (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta) | |
| accuracy | 47.24823397617466 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)) | |
| accuracy | 0 | (*.f64 beta beta) | |
| accuracy | 4.324624917592729 | (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta))) | |
| accuracy | 8.809961191718429 | (/.f64 i (*.f64 beta beta)) | |
| accuracy | 47.24823397617466 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta)))) | |
| accuracy | 0.04296875 | (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i)) | |
| accuracy | 11.696601433389562 | #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) | |
| accuracy | 15.238461520700076 | #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) | |
| accuracy | 35.37367466449744 | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
| 101.0ms | 256× | 0 | valid |
Compiled 1 252 to 87 computations (93.1% saved)
ival-div: 29.0ms (38.7% of total)ival-mult: 29.0ms (38.7% of total)ival-add: 13.0ms (17.3% of total)ival-sub: 2.0ms (2.7% of total)ival-neg: 1.0ms (1.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) (patch (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (patch #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta)))) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta)))) #<representation binary64>) () ()) |
#s(alt (+.f64 alpha i) (patch (+.f64 alpha i) #<representation binary64>) () ()) |
#s(alt (/.f64 i (*.f64 beta beta)) (patch (/.f64 i (*.f64 beta beta)) #<representation binary64>) () ()) |
#s(alt (*.f64 beta beta) (patch (*.f64 beta beta) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta) (patch (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (+.f64 alpha i) beta) i) (patch (*.f64 (/.f64 (+.f64 alpha i) beta) i) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 alpha i) beta) (patch (/.f64 (+.f64 alpha i) beta) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)) (patch (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)))) i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) (patch (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)))) i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) (patch (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) #<representation binary64>) () ()) |
#s(alt (*.f64 i (+.f64 (+.f64 alpha beta) i)) (patch (*.f64 i (+.f64 (+.f64 alpha beta) i)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (patch #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i)) (patch (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta))) (patch (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)))) i))) (patch #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)))) i))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (patch (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)))) i)) (patch #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)))) i)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (patch (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i)) (patch #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (- (pow (+ alpha (* 2 i)) 2) 1) (taylor 0 beta) (#s(alt (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* beta (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1) (taylor 0 beta) (#s(alt (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) 1) (taylor 0 beta) (#s(alt (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) 1) (taylor 0 beta) (#s(alt (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ alpha (* 2 i)) (taylor 0 beta) (#s(alt (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ()) |
#s(alt (+ alpha (+ beta (* 2 i))) (taylor 0 beta) (#s(alt (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ()) |
#s(alt (+ alpha (+ beta (* 2 i))) (taylor 0 beta) (#s(alt (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ()) |
#s(alt (+ alpha (+ beta (* 2 i))) (taylor 0 beta) (#s(alt (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | alpha | @ | -inf | ((- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ alpha i) (/ i (* beta beta)) (* beta beta) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (/ (+ alpha i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ alpha i) beta) (+ (* (+ beta alpha) 2) (- (neg alpha) beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* i (+ (+ alpha beta) i)) (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (* (+ alpha i) (/ i (* beta beta))) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) |
| 3.0ms | beta | @ | -inf | ((- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ alpha i) (/ i (* beta beta)) (* beta beta) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (/ (+ alpha i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ alpha i) beta) (+ (* (+ beta alpha) 2) (- (neg alpha) beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* i (+ (+ alpha beta) i)) (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (* (+ alpha i) (/ i (* beta beta))) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) |
| 3.0ms | beta | @ | 0 | ((- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ alpha i) (/ i (* beta beta)) (* beta beta) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (/ (+ alpha i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ alpha i) beta) (+ (* (+ beta alpha) 2) (- (neg alpha) beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* i (+ (+ alpha beta) i)) (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (* (+ alpha i) (/ i (* beta beta))) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) |
| 3.0ms | i | @ | -inf | ((- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ alpha i) (/ i (* beta beta)) (* beta beta) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (/ (+ alpha i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ alpha i) beta) (+ (* (+ beta alpha) 2) (- (neg alpha) beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* i (+ (+ alpha beta) i)) (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (* (+ alpha i) (/ i (* beta beta))) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) |
| 3.0ms | beta | @ | inf | ((- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ alpha i) (/ i (* beta beta)) (* beta beta) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (/ (+ alpha i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ alpha i) beta) (+ (* (+ beta alpha) 2) (- (neg alpha) beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* i (+ (+ alpha beta) i)) (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (* (+ alpha i) (/ i (* beta beta))) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1262 | 48439 |
| 1 | 4450 | 44838 |
| 0 | 8836 | 41588 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (pow (+ alpha (* 2 i)) 2) 1) |
(- (+ (* beta (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1) |
(- (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) 1) |
(- (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) 1) |
(+ alpha (* 2 i)) |
(+ alpha (+ beta (* 2 i))) |
(+ alpha (+ beta (* 2 i))) |
(+ alpha (+ beta (* 2 i))) |
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)) |
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
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(* i (+ alpha i)) |
(+ (* beta (+ alpha i)) (* i (+ alpha i))) |
(+ (* beta (+ alpha i)) (* i (+ alpha i))) |
(+ (* beta (+ alpha i)) (* i (+ alpha i))) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta))))) |
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2)))) |
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2)))) |
beta |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
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(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(* i (+ alpha i)) |
(- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) |
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(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(pow beta 2) |
(pow beta 2) |
(pow beta 2) |
(pow beta 2) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) beta) |
(/ (* i (+ alpha i)) beta) |
(/ (* i (+ alpha i)) beta) |
(/ (* i (+ alpha i)) beta) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
beta |
(* beta (- (+ 1 (* 2 (/ alpha beta))) (/ alpha beta))) |
(* beta (- (+ 1 (* 2 (/ alpha beta))) (/ alpha beta))) |
(* beta (- (+ 1 (* 2 (/ alpha beta))) (/ alpha beta))) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(* (pow beta 2) (* i (+ alpha i))) |
(* (pow beta 2) (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta))) |
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) |
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) |
(* beta i) |
(* beta (+ i (/ (* i (+ alpha i)) beta))) |
(* beta (+ i (/ (* i (+ alpha i)) beta))) |
(* beta (+ i (/ (* i (+ alpha i)) beta))) |
(* 1/4 (/ beta i)) |
(* beta (+ (* 1/4 (/ (- (* 2 (/ alpha i)) (/ alpha i)) beta)) (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 i))))) |
(* beta (+ (* 1/4 (/ (- (* 2 (/ alpha i)) (/ alpha i)) beta)) (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 i))))) |
(* beta (+ (* 1/4 (/ (- (* 2 (/ alpha i)) (/ alpha i)) beta)) (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 i))))) |
(* 1/4 (* beta i)) |
(* beta (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta))) |
(* beta (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta))) |
(* beta (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta))) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(* i (+ alpha i)) |
(- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) |
(- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta))))) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2)))))) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2)))))) |
(* 1/4 (* beta i)) |
(* beta (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta))) |
(* beta (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta))) |
(* beta (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta))) |
(* i (+ alpha i)) |
(- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) |
(- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(* beta (+ alpha i)) |
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta)))) |
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta)))) |
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta)))) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta)))) |
beta |
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1))) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(* -1 (* i (+ (* -1 alpha) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(pow beta 2) |
(pow beta 2) |
(pow beta 2) |
(pow beta 2) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) beta) |
(/ (* i (+ alpha i)) beta) |
(/ (* i (+ alpha i)) beta) |
(/ (* i (+ alpha i)) beta) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
beta |
(* -1 (* beta (- (* -1 (/ (- (* 2 alpha) alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (- (* 2 alpha) alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (- (* 2 alpha) alpha) beta)) 1))) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(* -1 (* (pow beta 2) (* i (+ (* -1 alpha) (* -1 i))))) |
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) beta)))) |
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta)))) |
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta)))) |
(* beta i) |
(* -1 (* beta (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta))))) |
(* -1 (* beta (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta))))) |
(* -1 (* beta (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta))))) |
(* 1/4 (/ beta i)) |
(* -1 (* beta (- (* -1 (/ (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i)))) beta)) (* 1/4 (/ 1 i))))) |
(* -1 (* beta (- (* -1 (/ (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i)))) beta)) (* 1/4 (/ 1 i))))) |
(* -1 (* beta (- (* -1 (/ (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i)))) beta)) (* 1/4 (/ 1 i))))) |
(* 1/4 (* beta i)) |
(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta)) (* -1/4 i)))) |
(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta)) (* -1/4 i)))) |
(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta)) (* -1/4 i)))) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(* -1 (* i (+ (* -1 alpha) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta)))) |
(* 1/4 (* beta i)) |
(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta)) (* -1/4 i)))) |
(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta)) (* -1/4 i)))) |
(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta)) (* -1/4 i)))) |
(* -1 (* i (+ (* -1 alpha) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
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(* -1 (* beta (+ (* -1 alpha) (* -1 i)))) |
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(/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)) |
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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
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i |
(+ alpha i) |
(+ alpha i) |
(+ alpha i) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
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(/ (pow i 2) (pow beta 2)) |
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2))) |
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2))) |
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2))) |
(/ (pow i 2) beta) |
(+ (/ (* alpha i) beta) (/ (pow i 2) beta)) |
(+ (/ (* alpha i) beta) (/ (pow i 2) beta)) |
(+ (/ (* alpha i) beta) (/ (pow i 2) beta)) |
(/ i beta) |
(+ (/ alpha beta) (/ i beta)) |
(+ (/ alpha beta) (/ i beta)) |
(+ (/ alpha beta) (/ i beta)) |
(- (* 2 beta) beta) |
(- (+ alpha (* 2 beta)) beta) |
(- (+ alpha (* 2 beta)) beta) |
(- (+ alpha (* 2 beta)) beta) |
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(pow (+ beta (* 2 i)) 2) |
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(* i (+ beta i)) |
(+ (* alpha (+ beta i)) (* i (+ beta i))) |
(+ (* alpha (+ beta i)) (* i (+ beta i))) |
(+ (* alpha (+ beta i)) (* i (+ beta i))) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha))))) |
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2)))) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
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(* i (+ beta i)) |
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha)) |
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
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alpha |
(* alpha (+ 1 (/ i alpha))) |
(* alpha (+ 1 (/ i alpha))) |
(* alpha (+ 1 (/ i alpha))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (* alpha i) (pow beta 2)) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(/ (* alpha i) beta) |
(* alpha (+ (/ i beta) (/ (pow i 2) (* alpha beta)))) |
(* alpha (+ (/ i beta) (/ (pow i 2) (* alpha beta)))) |
(* alpha (+ (/ i beta) (/ (pow i 2) (* alpha beta)))) |
(/ alpha beta) |
(* alpha (+ (/ 1 beta) (/ i (* alpha beta)))) |
(* alpha (+ (/ 1 beta) (/ i (* alpha beta)))) |
(* alpha (+ (/ 1 beta) (/ i (* alpha beta)))) |
alpha |
(* alpha (- (+ 1 (* 2 (/ beta alpha))) (/ beta alpha))) |
(* alpha (- (+ 1 (* 2 (/ beta alpha))) (/ beta alpha))) |
(* alpha (- (+ 1 (* 2 (/ beta alpha))) (/ beta alpha))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(* (pow alpha 2) (* i (+ beta i))) |
(* (pow alpha 2) (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha))) |
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) |
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) |
(* alpha i) |
(* alpha (+ i (/ (* i (+ beta i)) alpha))) |
(* alpha (+ i (/ (* i (+ beta i)) alpha))) |
(* alpha (+ i (/ (* i (+ beta i)) alpha))) |
(* 1/4 (/ alpha i)) |
(* alpha (+ (* 1/4 (/ (- (* 2 (/ beta i)) (/ beta i)) alpha)) (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 i))))) |
(* alpha (+ (* 1/4 (/ (- (* 2 (/ beta i)) (/ beta i)) alpha)) (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 i))))) |
(* alpha (+ (* 1/4 (/ (- (* 2 (/ beta i)) (/ beta i)) alpha)) (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 i))))) |
(* 1/4 (* alpha i)) |
(* alpha (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha))) |
(* alpha (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha))) |
(* alpha (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha))) |
(/ (* alpha i) (pow beta 2)) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(* i (+ beta i)) |
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha)) |
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha))))) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2)))))) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2)))))) |
(* 1/4 (* alpha i)) |
(* alpha (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha))) |
(* alpha (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha))) |
(* alpha (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha))) |
(* i (+ beta i)) |
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha)) |
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(* alpha (+ beta i)) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha)))) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(* -1 (* i (+ (* -1 beta) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
alpha |
(* -1 (* alpha (- (* -1 (/ i alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ i alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ i alpha)) 1))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (* alpha i) (pow beta 2)) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(/ (* alpha i) beta) |
(* -1 (* alpha (+ (* -1 (/ i beta)) (* -1 (/ (pow i 2) (* alpha beta)))))) |
(* -1 (* alpha (+ (* -1 (/ i beta)) (* -1 (/ (pow i 2) (* alpha beta)))))) |
(* -1 (* alpha (+ (* -1 (/ i beta)) (* -1 (/ (pow i 2) (* alpha beta)))))) |
(/ alpha beta) |
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta)))) |
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta)))) |
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta)))) |
alpha |
(* -1 (* alpha (- (* -1 (/ (- (* 2 beta) beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (- (* 2 beta) beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (- (* 2 beta) beta) alpha)) 1))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(* -1 (* (pow alpha 2) (* i (+ (* -1 beta) (* -1 i))))) |
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha)))) |
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha)))) |
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha)))) |
(* alpha i) |
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))) |
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))) |
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))) |
(* 1/4 (/ alpha i)) |
(* -1 (* alpha (- (* -1 (/ (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i)))) alpha)) (* 1/4 (/ 1 i))))) |
(* -1 (* alpha (- (* -1 (/ (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i)))) alpha)) (* 1/4 (/ 1 i))))) |
(* -1 (* alpha (- (* -1 (/ (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i)))) alpha)) (* 1/4 (/ 1 i))))) |
(* 1/4 (* alpha i)) |
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)) (* -1/4 i)))) |
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)) (* -1/4 i)))) |
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)) (* -1/4 i)))) |
(/ (* alpha i) (pow beta 2)) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(* -1 (* i (+ (* -1 beta) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha)))) |
(* 1/4 (* alpha i)) |
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)) (* -1/4 i)))) |
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)) (* -1/4 i)))) |
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)) (* -1/4 i)))) |
(* -1 (* i (+ (* -1 beta) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(* -1 (* alpha (+ (* -1 beta) (* -1 i)))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))) |
(- (pow (+ alpha beta) 2) 1) |
(- (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) 1) |
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1) |
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1) |
(+ alpha beta) |
(+ alpha (+ beta (* 2 i))) |
(+ alpha (+ beta (* 2 i))) |
(+ alpha (+ beta (* 2 i))) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
alpha |
(+ alpha i) |
(+ alpha i) |
(+ alpha i) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(/ (* alpha i) (pow beta 2)) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(/ (* alpha i) beta) |
(* i (+ (/ alpha beta) (/ i beta))) |
(* i (+ (/ alpha beta) (/ i beta))) |
(* i (+ (/ alpha beta) (/ i beta))) |
(/ alpha beta) |
(+ (/ alpha beta) (/ i beta)) |
(+ (/ alpha beta) (/ i beta)) |
(+ (/ alpha beta) (/ i beta)) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* alpha (* beta (* i (+ alpha beta)))) |
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (pow (+ alpha beta) 2))))) |
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ (* 2 alpha) (* 2 beta))) (pow (+ alpha beta) 2)))))) |
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ i (+ (* 2 alpha) (* 2 beta)))) (pow (+ alpha beta) 2)))))) |
(* i (+ alpha beta)) |
(* i (+ alpha (+ beta i))) |
(* i (+ alpha (+ beta i))) |
(* i (+ alpha (+ beta i))) |
(* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)) |
(/ (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta)))) i) |
(/ (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta)))) i) |
(/ (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta)))) i) |
(* 1/4 (* i (- (* 2 (+ alpha beta)) (+ alpha beta)))) |
(* i (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))))) |
(* i (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))))) |
(* i (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))))) |
(/ (* alpha i) (pow beta 2)) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(pow (+ alpha beta) 2) |
(+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) |
(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) |
(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) |
(* 1/4 (* i (- (* 2 (+ alpha beta)) (+ alpha beta)))) |
(* i (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))))) |
(* i (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))))) |
(* i (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))))) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* alpha beta) |
(+ (* alpha beta) (* i (+ alpha beta))) |
(+ (* alpha beta) (* i (+ alpha (+ beta i)))) |
(+ (* alpha beta) (* i (+ alpha (+ beta i)))) |
(* 4 (pow i 2)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2)))) |
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2)))) |
(* 2 i) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2)))))) |
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3))))))))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2)))))) |
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3))))))))) |
i |
(* i (+ 1 (/ alpha i))) |
(* i (+ 1 (/ alpha i))) |
(* i (+ 1 (/ alpha i))) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2)))))) |
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3))))))))) |
(/ (pow i 2) (pow beta 2)) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(/ (pow i 2) beta) |
(* (pow i 2) (+ (/ 1 beta) (/ alpha (* beta i)))) |
(* (pow i 2) (+ (/ 1 beta) (/ alpha (* beta i)))) |
(* (pow i 2) (+ (/ 1 beta) (/ alpha (* beta i)))) |
(/ i beta) |
(* i (+ (/ 1 beta) (/ alpha (* beta i)))) |
(* i (+ (/ 1 beta) (/ alpha (* beta i)))) |
(* i (+ (/ 1 beta) (/ alpha (* beta i)))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2)))))) |
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3))))))))) |
(pow i 4) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i))))) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (/ (pow (+ alpha beta) 2) (pow i 2))))))) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (+ (/ (* alpha (* beta (+ alpha beta))) (pow i 3)) (/ (pow (+ alpha beta) 2) (pow i 2)))))))) |
(pow i 2) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
1/4 |
(+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i))) |
(+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i))) |
(+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(/ (pow i 2) (pow beta 2)) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))) |
(* 4 (pow i 2)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2))))) |
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2))))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2)))))) |
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3))))))))) |
(pow i 2) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2)))))) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2)))))) |
(* 4 (pow i 2)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i)))) |
(* 2 i) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i)))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
i |
(* -1 (* i (- (* -1 (/ alpha i)) 1))) |
(* -1 (* i (- (* -1 (/ alpha i)) 1))) |
(* -1 (* i (- (* -1 (/ alpha i)) 1))) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(/ (pow i 2) (pow beta 2)) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(/ (pow i 2) beta) |
(* (pow i 2) (+ (/ 1 beta) (/ alpha (* beta i)))) |
(* (pow i 2) (+ (/ 1 beta) (/ alpha (* beta i)))) |
(* (pow i 2) (+ (/ 1 beta) (/ alpha (* beta i)))) |
(/ i beta) |
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta)))) |
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta)))) |
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta)))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(pow i 4) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i))))) |
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (+ (* -1 (/ (* alpha beta) i)) (* -1 (/ (pow (+ alpha beta) 2) i)))) i)))) |
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (* -1 (/ (+ (* -1 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ alpha beta))) i)) i))) i)))) |
(pow i 2) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
1/4 |
(+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i))) |
(+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i))) |
(+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(/ (pow i 2) (pow beta 2)) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i)))) |
(* 4 (pow i 2)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i)))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(pow i 2) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i)))) |
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i)))) |
| Outputs |
|---|
(- (pow (+ alpha (* 2 i)) 2) 1) |
(-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(- (+ (* beta (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1) |
(fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) beta (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(- (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) 1) |
(fma.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) alpha beta)) beta (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(- (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) 1) |
(fma.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) alpha beta)) beta (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(+ alpha (* 2 i)) |
(fma.f64 i #s(literal 2 binary64) alpha) |
(+ alpha (+ beta (* 2 i))) |
(+.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) |
(+ alpha (+ beta (* 2 i))) |
(+.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) |
(+ alpha (+ beta (* 2 i))) |
(+.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) |
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
(*.f64 (/.f64 (*.f64 i i) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 i alpha) #s(literal 2 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) |
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 i alpha) (+.f64 i (+.f64 i alpha))) i) (*.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (+.f64 i alpha) #s(literal 2 binary64))) (*.f64 i i)) (*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 4 binary64))))) beta (*.f64 (/.f64 (*.f64 i i) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 i alpha) #s(literal 2 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) |
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (+.f64 i alpha) i) (*.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 i alpha) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 i alpha) (+.f64 i (+.f64 i alpha))) i) (*.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (+.f64 i alpha) #s(literal 2 binary64))) (*.f64 i i)) (*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 4 binary64))))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64))))) (*.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))))) beta (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 i alpha) (+.f64 i (+.f64 i alpha))) i) (*.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (+.f64 i alpha) #s(literal 2 binary64))) (*.f64 i i)) (*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 4 binary64)))))) beta (*.f64 (/.f64 (*.f64 i i) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 i alpha) #s(literal 2 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))))) |
(+ (* beta (- (+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 4 alpha) (* 8 i)))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))))) (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 beta) (fma.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 i alpha) (+.f64 i (+.f64 i alpha))) i) (*.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (+.f64 i alpha) #s(literal 2 binary64))) (*.f64 i i)) (*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 4 binary64))))) (*.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)) (pow.f64 (+.f64 i alpha) #s(literal 2 binary64))) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (*.f64 i i) (pow.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 i alpha) i) (*.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 i alpha) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 i alpha) (+.f64 i (+.f64 i alpha))) i) (*.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (+.f64 i alpha) #s(literal 2 binary64))) (*.f64 i i)) (*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 4 binary64))))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64))))) (*.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64))))) (*.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))))) (-.f64 (/.f64 (*.f64 (+.f64 i alpha) i) (*.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 i alpha) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 4 binary64))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 i alpha) (+.f64 i (+.f64 i alpha))) i) (*.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (+.f64 i alpha) #s(literal 2 binary64))) (*.f64 i i)) (*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 4 binary64))))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 (pow.f64 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(/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)) |
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
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(pow (+ alpha (* 2 i)) 2) |
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(+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) |
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(+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) |
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(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 alpha) alpha) i)))) |
(*.f64 (fma.f64 (/.f64 alpha i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i)) |
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)) |
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(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 4)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (pow (+ alpha (* 2 i)) 2))))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2))) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2))) |
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(* 1/4 (* beta i)) |
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(/ (* i (+ alpha i)) (pow beta 2)) |
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(* beta (+ alpha i)) |
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beta |
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(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
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(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
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(* -1 (* i (+ (* -1 alpha) (* -1 i)))) |
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(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
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(* -1 (* beta (+ (* -1 alpha) (* -1 i)))) |
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(- (+ (* alpha (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1) |
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(- (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) 1) |
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(+ beta (* 2 i)) |
(fma.f64 i #s(literal 2 binary64) beta) |
(+ alpha (+ beta (* 2 i))) |
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(/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)) |
(/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
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(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
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(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
(*.f64 (/.f64 (*.f64 i i) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 i (+.f64 beta i))) i) (*.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 i i)) (*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (*.f64 (/.f64 (*.f64 i i) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))) |
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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(+ (* alpha (- (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 4 beta) (* 8 i)))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))))) (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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i |
(+ alpha i) |
(+.f64 i alpha) |
(+ alpha i) |
(+.f64 i alpha) |
(+ alpha i) |
(+.f64 i alpha) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
(*.f64 (/.f64 (*.f64 i i) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) |
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#s(literal 1 binary64))))) (*.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))))) (neg.f64 alpha) (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 i (+.f64 beta i))) i) (*.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 i i)) (*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64))))) (*.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))))) alpha (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 i (+.f64 beta i))) i) (*.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 i i)) (*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 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(* (pow i 2) (pow (+ beta i) 2)) |
(*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) |
(+ (* alpha (* i (+ (* i (+ beta i)) (pow (+ beta i) 2)))) (* (pow i 2) (pow (+ beta i) 2))) |
(fma.f64 (*.f64 i alpha) (*.f64 (+.f64 beta i) (+.f64 i (+.f64 beta i))) (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i))) |
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2))) |
(fma.f64 (fma.f64 (*.f64 i alpha) (+.f64 beta i) (*.f64 (*.f64 (+.f64 beta i) (+.f64 i (+.f64 beta i))) i)) alpha (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i))) |
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2))) |
(fma.f64 (fma.f64 (*.f64 i alpha) (+.f64 beta i) (*.f64 (*.f64 (+.f64 beta i) (+.f64 i (+.f64 beta i))) i)) alpha (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i))) |
(* i (+ beta i)) |
(*.f64 (+.f64 beta i) i) |
(+ (* alpha i) (* i (+ beta i))) |
(*.f64 (+.f64 (+.f64 beta alpha) i) i) |
(+ (* alpha i) (* i (+ beta i))) |
(*.f64 (+.f64 (+.f64 beta alpha) i) i) |
(+ (* alpha i) (* i (+ beta i))) |
(*.f64 (+.f64 (+.f64 beta alpha) i) i) |
(+ 1/4 (* 1/4 (/ (- (* 2 beta) beta) i))) |
(fma.f64 (/.f64 beta i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) |
(+ 1/4 (+ (* 1/4 (/ alpha i)) (* 1/4 (/ (- (* 2 beta) beta) i)))) |
(fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i)) #s(literal 1/4 binary64)) |
(+ 1/4 (+ (* 1/4 (/ alpha i)) (* 1/4 (/ (- (* 2 beta) beta) i)))) |
(fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i)) #s(literal 1/4 binary64)) |
(+ 1/4 (+ (* 1/4 (/ alpha i)) (* 1/4 (/ (- (* 2 beta) beta) i)))) |
(fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 alpha i) (/.f64 beta i)) #s(literal 1/4 binary64)) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 beta) beta) i)))) |
(*.f64 (fma.f64 (/.f64 beta i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i)) |
(+ (* 1/4 (* alpha i)) (* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 beta) beta) i))))) |
(fma.f64 (fma.f64 (/.f64 beta i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i) (*.f64 (*.f64 i alpha) #s(literal 1/4 binary64))) |
(+ (* 1/4 (* alpha i)) (* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 beta) beta) i))))) |
(fma.f64 (fma.f64 (/.f64 beta i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i) (*.f64 (*.f64 i alpha) #s(literal 1/4 binary64))) |
(+ (* 1/4 (* alpha i)) (* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 beta) beta) i))))) |
(fma.f64 (fma.f64 (/.f64 beta i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i) (*.f64 (*.f64 i alpha) #s(literal 1/4 binary64))) |
(/ (pow i 2) (pow beta 2)) |
(*.f64 (/.f64 i beta) (/.f64 i beta)) |
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2))) |
(fma.f64 (/.f64 i beta) (/.f64 i beta) (*.f64 alpha (/.f64 i (*.f64 beta beta)))) |
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2))) |
(fma.f64 (/.f64 i beta) (/.f64 i beta) (*.f64 alpha (/.f64 i (*.f64 beta beta)))) |
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2))) |
(fma.f64 (/.f64 i beta) (/.f64 i beta) (*.f64 alpha (/.f64 i (*.f64 beta beta)))) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)) |
(/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 i (+.f64 beta i))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64)))) (*.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64)))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 i (+.f64 beta i))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64)))) (*.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 i (+.f64 beta i))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64)))) (*.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64)))) (*.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 i (+.f64 beta i))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64)))) (*.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 i (+.f64 beta i))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 i (+.f64 beta i))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64)))) (*.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) alpha (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 i (+.f64 beta i))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64)))) (*.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) |
(pow (+ beta (* 2 i)) 2) |
(pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) |
(+ (* alpha (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) |
(fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) alpha (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) |
(fma.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) alpha)) alpha (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) |
(fma.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) alpha)) alpha (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 beta) beta) i)))) |
(*.f64 (fma.f64 (/.f64 beta i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i)) |
(+ (* 1/4 (* alpha i)) (* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 beta) beta) i))))) |
(fma.f64 (fma.f64 (/.f64 beta i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i) (*.f64 (*.f64 i alpha) #s(literal 1/4 binary64))) |
(+ (* 1/4 (* alpha i)) (* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 beta) beta) i))))) |
(fma.f64 (fma.f64 (/.f64 beta i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i) (*.f64 (*.f64 i alpha) #s(literal 1/4 binary64))) |
(+ (* 1/4 (* alpha i)) (* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 beta) beta) i))))) |
(fma.f64 (fma.f64 (/.f64 beta i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i) (*.f64 (*.f64 i alpha) #s(literal 1/4 binary64))) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)) |
(/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 i (+.f64 beta i))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64)))) (*.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64)))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 i (+.f64 beta i))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64)))) (*.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64)))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 i (+.f64 beta i))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64)))) (*.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
(*.f64 (/.f64 (*.f64 i i) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 i (+.f64 beta i))) i) (*.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 i i)) (*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (*.f64 (/.f64 (*.f64 i i) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))) |
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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(+ (* alpha (- (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 4 beta) (* 8 i)))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))))) (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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(* i (+ beta i)) |
(*.f64 (+.f64 beta i) i) |
(+ (* alpha (+ beta i)) (* i (+ beta i))) |
(*.f64 (+.f64 beta i) (+.f64 i alpha)) |
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(+ (* alpha (+ beta i)) (* i (+ beta i))) |
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(pow alpha 2) |
(*.f64 alpha alpha) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha))))) |
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(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2)))) |
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(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2)))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (*.f64 alpha alpha)))) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) (*.f64 alpha alpha)) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 i alpha) #s(literal 2 binary64) (/.f64 beta alpha)) #s(literal 1 binary64)) alpha) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 i alpha) #s(literal 2 binary64) (/.f64 beta alpha)) #s(literal 1 binary64)) alpha) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 i alpha) #s(literal 2 binary64) (/.f64 beta alpha)) #s(literal 1 binary64)) alpha) |
(/ (* i (+ beta i)) (pow alpha 2)) |
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(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
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(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
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(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
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(* i (+ beta i)) |
(*.f64 (+.f64 beta i) i) |
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(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
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(/ (* i (+ beta i)) (pow alpha 2)) |
(*.f64 (/.f64 (+.f64 beta i) alpha) (/.f64 i alpha)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
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(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
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(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
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alpha |
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alpha |
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
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(* -1 (* i (+ (* -1 beta) (* -1 i)))) |
(*.f64 (-.f64 (neg.f64 beta) i) (neg.f64 i)) |
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(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
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(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(*.f64 (/.f64 (neg.f64 i) alpha) (/.f64 (-.f64 (neg.f64 beta) i) alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/.f64 (neg.f64 (fma.f64 (-.f64 (neg.f64 beta) i) i (/.f64 (fma.f64 (*.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (*.f64 (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (neg.f64 beta) i)) #s(literal -4 binary64))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/.f64 (neg.f64 (fma.f64 (-.f64 (neg.f64 beta) i) i (/.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 (*.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (*.f64 (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (neg.f64 beta) i)) #s(literal -4 binary64))) (fma.f64 i #s(literal 2 binary64) beta)))) (*.f64 (*.f64 (-.f64 (neg.f64 beta) i) i) (fma.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)))) alpha) #s(literal -1 binary64) (fma.f64 (*.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (*.f64 (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (neg.f64 beta) i)) #s(literal -4 binary64)))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
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alpha |
(* -1 (* alpha (- (* -1 (/ i alpha)) 1))) |
(*.f64 (fma.f64 (/.f64 i alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)) |
(* -1 (* alpha (- (* -1 (/ i alpha)) 1))) |
(*.f64 (fma.f64 (/.f64 i alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)) |
(* -1 (* alpha (- (* -1 (/ i alpha)) 1))) |
(*.f64 (fma.f64 (/.f64 i alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(*.f64 (/.f64 (neg.f64 i) alpha) (/.f64 (-.f64 (neg.f64 beta) i) alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/.f64 (neg.f64 (fma.f64 (-.f64 (neg.f64 beta) i) i (/.f64 (fma.f64 (*.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (*.f64 (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (neg.f64 beta) i)) #s(literal -4 binary64))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
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(* alpha i) |
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(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(neg.f64 (fma.f64 (-.f64 (neg.f64 beta) i) i (/.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i) (*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (*.f64 (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (neg.f64 beta) i)) #s(literal -2 binary64))) (fma.f64 i #s(literal 2 binary64) beta)))) (*.f64 (*.f64 i (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (-.f64 (neg.f64 beta) i))) alpha) #s(literal -1 binary64) (fma.f64 (*.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (*.f64 (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (neg.f64 beta) i)) #s(literal -2 binary64)))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
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(pow alpha 2) |
(*.f64 alpha alpha) |
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta) (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (neg.f64 alpha))) alpha)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta) (/.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (neg.f64 alpha))) alpha)) (*.f64 alpha alpha)) |
(* 1/4 (* alpha i)) |
(*.f64 (*.f64 i alpha) #s(literal 1/4 binary64)) |
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)) (* -1/4 i)))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 i) i) (/.f64 (fma.f64 (/.f64 beta i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) alpha) (*.f64 #s(literal -1/4 binary64) i)) (neg.f64 alpha)) |
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)) (* -1/4 i)))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 i) i) (/.f64 (fma.f64 (/.f64 beta i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) alpha) (*.f64 #s(literal -1/4 binary64) i)) (neg.f64 alpha)) |
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)) (* -1/4 i)))) |
(*.f64 (fma.f64 (*.f64 (neg.f64 i) i) (/.f64 (fma.f64 (/.f64 beta i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) alpha) (*.f64 #s(literal -1/4 binary64) i)) (neg.f64 alpha)) |
(* -1 (* i (+ (* -1 beta) (* -1 i)))) |
(*.f64 (-.f64 (neg.f64 beta) i) (neg.f64 i)) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(neg.f64 (fma.f64 (-.f64 (neg.f64 beta) i) i (/.f64 (fma.f64 (*.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (*.f64 (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (neg.f64 beta) i)) #s(literal -2 binary64))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
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(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
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(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(*.f64 (/.f64 (neg.f64 i) alpha) (/.f64 (-.f64 (neg.f64 beta) i) alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/.f64 (neg.f64 (fma.f64 (-.f64 (neg.f64 beta) i) i (/.f64 (fma.f64 (*.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (*.f64 (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (neg.f64 beta) i)) #s(literal -4 binary64))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/.f64 (neg.f64 (fma.f64 (-.f64 (neg.f64 beta) i) i (/.f64 (fma.f64 (/.f64 (+.f64 (fma.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 (*.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (*.f64 (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (neg.f64 beta) i)) #s(literal -4 binary64))) (fma.f64 i #s(literal 2 binary64) beta)))) (*.f64 (*.f64 (-.f64 (neg.f64 beta) i) i) (fma.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)))) alpha) #s(literal -1 binary64) (fma.f64 (*.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (*.f64 (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (neg.f64 beta) i)) #s(literal -4 binary64)))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/.f64 (neg.f64 (fma.f64 (-.f64 (neg.f64 beta) i) i (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (/.f64 (+.f64 (fma.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i) (*.f64 #s(literal 4 binary64) (*.f64 (fma.f64 (*.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (*.f64 (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (neg.f64 beta) i)) #s(literal -4 binary64))) (fma.f64 i #s(literal 2 binary64) beta)))) (*.f64 (*.f64 (-.f64 (neg.f64 beta) i) i) (fma.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)))) alpha)) #s(literal -4 binary64) (-.f64 (fma.f64 (neg.f64 i) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 i #s(literal 2 binary64) beta) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 3 binary64)))) (-.f64 (neg.f64 beta) i)) alpha) (fma.f64 (fma.f64 (*.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (*.f64 (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (neg.f64 beta) i)) #s(literal -4 binary64))) (/.f64 (fma.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)) alpha) (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)))) (fma.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)) (-.f64 (neg.f64 beta) i))) i (*.f64 (*.f64 #s(literal -4 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (*.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (*.f64 (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (neg.f64 beta) i)) #s(literal -4 binary64))))))) alpha) #s(literal -1 binary64) (fma.f64 (*.f64 (+.f64 beta i) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 i))) i (*.f64 (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (-.f64 (neg.f64 beta) i)) #s(literal -4 binary64)))) alpha))) (*.f64 alpha alpha)) |
(* -1 (* alpha (+ (* -1 beta) (* -1 i)))) |
(*.f64 (-.f64 (neg.f64 beta) i) (neg.f64 alpha)) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))) |
(*.f64 (-.f64 (neg.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) i)) beta) (neg.f64 alpha)) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))) |
(*.f64 (-.f64 (neg.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) i)) beta) (neg.f64 alpha)) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))) |
(*.f64 (-.f64 (neg.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) i)) beta) (neg.f64 alpha)) |
(- (pow (+ alpha beta) 2) 1) |
(-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(- (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) 1) |
(fma.f64 (+.f64 beta alpha) (fma.f64 #s(literal 4 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64)) |
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1) |
(fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta alpha) i)) i (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1) |
(fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta alpha) i)) i (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(+ alpha beta) |
(+.f64 beta alpha) |
(+ alpha (+ beta (* 2 i))) |
(+.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) |
(+ alpha (+ beta (* 2 i))) |
(+.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) |
(+ alpha (+ beta (* 2 i))) |
(+.f64 (fma.f64 i #s(literal 2 binary64) beta) alpha) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(*.f64 (/.f64 (*.f64 beta i) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 alpha (+.f64 beta alpha))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 alpha (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))))) i (*.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (+.f64 beta alpha)))) i) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 alpha (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) beta) alpha) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))))) i (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 alpha (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))))))) i (*.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (+.f64 beta alpha)))) i) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 alpha (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 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#s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 alpha (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 32 binary64) (*.f64 beta alpha)) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))))) i (neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 alpha (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) beta) alpha) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))))))) i (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 alpha (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))))))) i (*.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (+.f64 beta alpha)))) i) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(/.f64 (*.f64 (*.f64 beta alpha) i) (+.f64 beta alpha)) |
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (*.f64 alpha (/.f64 beta (+.f64 beta alpha)))) i) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (*.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 beta alpha))))) i (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (*.f64 alpha (/.f64 beta (+.f64 beta alpha)))) i) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (*.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 beta alpha))))) (+.f64 beta alpha)) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))) i (*.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 beta alpha)))))) i (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (*.f64 alpha (/.f64 beta (+.f64 beta alpha)))) i) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(*.f64 (/.f64 (*.f64 beta i) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 alpha (+.f64 beta alpha))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 alpha (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 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#s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 alpha (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 32 binary64) (*.f64 beta alpha)) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))))) i (neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 alpha (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 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#s(literal 3 binary64)))) beta) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))))))) i (*.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (+.f64 beta alpha)))) i) |
alpha |
(+ alpha i) |
(+.f64 i alpha) |
(+ alpha i) |
(+.f64 i alpha) |
(+ alpha i) |
(+.f64 i alpha) |
(/ i (pow beta 2)) |
(/.f64 i (*.f64 beta beta)) |
(/ i (pow beta 2)) |
(/.f64 i (*.f64 beta beta)) |
(/ i (pow beta 2)) |
(/.f64 i (*.f64 beta beta)) |
(/ i (pow beta 2)) |
(/.f64 i (*.f64 beta beta)) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(*.f64 (/.f64 (*.f64 beta i) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 alpha (+.f64 beta alpha))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* alpha (* beta (* i (+ alpha beta)))) |
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(* i (+ alpha beta)) |
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(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
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(pow (+ alpha beta) 2) |
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(fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta alpha) i)) i (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) |
(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) |
(fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta alpha) i)) i (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) |
(* 1/4 (* i (- (* 2 (+ alpha beta)) (+ alpha beta)))) |
(*.f64 (*.f64 (*.f64 (+.f64 beta alpha) #s(literal 1 binary64)) i) #s(literal 1/4 binary64)) |
(* i (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 beta alpha) #s(literal 1 binary64) i)) i) |
(* i (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 beta alpha) #s(literal 1 binary64) i)) i) |
(* i (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 beta alpha) #s(literal 1 binary64) i)) i) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(/.f64 (*.f64 (*.f64 beta alpha) i) (+.f64 beta alpha)) |
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (*.f64 alpha (/.f64 beta (+.f64 beta alpha)))) i) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (*.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 beta alpha))))) i (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (*.f64 alpha (/.f64 beta (+.f64 beta alpha)))) i) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (*.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 beta alpha))))) (+.f64 beta alpha)) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))) i (*.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 beta alpha)))))) i (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (*.f64 alpha (/.f64 beta (+.f64 beta alpha)))) i) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(*.f64 (/.f64 (*.f64 beta i) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 alpha (+.f64 beta alpha))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 alpha (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))))) i (*.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (+.f64 beta alpha)))) i) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 alpha (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) beta) alpha) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))))) i (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 alpha (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))))))) i (*.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (+.f64 beta alpha)))) i) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))))) (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 alpha (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) beta) alpha) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 alpha (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 32 binary64) (*.f64 beta alpha)) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))))) i (neg.f64 (fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 alpha (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) beta) alpha) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))))))) i (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 alpha (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))))))) i (*.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (+.f64 beta alpha)))) i) |
(* alpha beta) |
(*.f64 beta alpha) |
(+ (* alpha beta) (* i (+ alpha beta))) |
(fma.f64 (+.f64 beta alpha) i (*.f64 beta alpha)) |
(+ (* alpha beta) (* i (+ alpha (+ beta i)))) |
(*.f64 (+.f64 beta i) (+.f64 i alpha)) |
(+ (* alpha beta) (* i (+ alpha (+ beta i)))) |
(*.f64 (+.f64 beta i) (+.f64 i alpha)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(*.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 i i)) |
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2)))) |
(*.f64 (-.f64 (fma.f64 (+.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1 binary64)) #s(literal 4 binary64) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i))) (/.f64 #s(literal 1 binary64) (*.f64 i i))) (*.f64 i i)) |
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2)))) |
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(* 2 i) |
(*.f64 i #s(literal 2 binary64)) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 beta i)) (/.f64 alpha i)) i) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 beta i)) (/.f64 alpha i)) i) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 beta i)) (/.f64 alpha i)) i) |
1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
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(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
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(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))) |
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1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
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i |
(* i (+ 1 (/ alpha i))) |
(*.f64 (+.f64 (/.f64 alpha i) #s(literal 1 binary64)) i) |
(* i (+ 1 (/ alpha i))) |
(*.f64 (+.f64 (/.f64 alpha i) #s(literal 1 binary64)) i) |
(* i (+ 1 (/ alpha i))) |
(*.f64 (+.f64 (/.f64 alpha i) #s(literal 1 binary64)) i) |
(/ i (pow beta 2)) |
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(/ i (pow beta 2)) |
(/.f64 i (*.f64 beta beta)) |
(/ i (pow beta 2)) |
(/.f64 i (*.f64 beta beta)) |
1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
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(/ (pow i 2) (pow beta 2)) |
(*.f64 (/.f64 i beta) (/.f64 i beta)) |
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(*.f64 (+.f64 (/.f64 (/.f64 alpha (*.f64 beta beta)) i) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) (*.f64 i i)) |
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(*.f64 (+.f64 (/.f64 (/.f64 alpha (*.f64 beta beta)) i) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) (*.f64 i i)) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(*.f64 (+.f64 (/.f64 (/.f64 alpha (*.f64 beta beta)) i) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) (*.f64 i i)) |
(/ (pow i 2) beta) |
(/.f64 (*.f64 i i) beta) |
(* (pow i 2) (+ (/ 1 beta) (/ alpha (* beta i)))) |
(*.f64 (+.f64 (/.f64 (/.f64 alpha beta) i) (/.f64 #s(literal 1 binary64) beta)) (*.f64 i i)) |
(* (pow i 2) (+ (/ 1 beta) (/ alpha (* beta i)))) |
(*.f64 (+.f64 (/.f64 (/.f64 alpha beta) i) (/.f64 #s(literal 1 binary64) beta)) (*.f64 i i)) |
(* (pow i 2) (+ (/ 1 beta) (/ alpha (* beta i)))) |
(*.f64 (+.f64 (/.f64 (/.f64 alpha beta) i) (/.f64 #s(literal 1 binary64) beta)) (*.f64 i i)) |
(/ i beta) |
(/.f64 i beta) |
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(*.f64 (+.f64 (/.f64 (/.f64 alpha beta) i) (/.f64 #s(literal 1 binary64) beta)) i) |
(* i (+ (/ 1 beta) (/ alpha (* beta i)))) |
(*.f64 (+.f64 (/.f64 (/.f64 alpha beta) i) (/.f64 #s(literal 1 binary64) beta)) i) |
(* i (+ (/ 1 beta) (/ alpha (* beta i)))) |
(*.f64 (+.f64 (/.f64 (/.f64 alpha beta) i) (/.f64 #s(literal 1 binary64) beta)) i) |
1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
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(pow i 4) |
(pow.f64 i #s(literal 4 binary64)) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i))))) |
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(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (+ (/ (* alpha (* beta (+ alpha beta))) (pow i 3)) (/ (pow (+ alpha beta) 2) (pow i 2)))))))) |
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(pow i 2) |
(*.f64 i i) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
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(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta i)) (/.f64 alpha i)) (*.f64 i i)) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta i)) (/.f64 alpha i)) (*.f64 i i)) |
1/4 |
#s(literal 1/4 binary64) |
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(+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i))) |
(fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 1 binary64)) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) |
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(fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 1 binary64)) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
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(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
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(/ (pow i 2) (pow beta 2)) |
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(* 1/4 (pow i 2)) |
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(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))) |
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(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
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(* 1/4 (pow i 2)) |
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(* 1/4 (pow i 2)) |
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(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))) |
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1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
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(*.f64 i i) |
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(* 2 i) |
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1/16 |
#s(literal 1/16 binary64) |
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(* 1/4 (pow i 2)) |
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1/16 |
#s(literal 1/16 binary64) |
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i |
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1/16 |
#s(literal 1/16 binary64) |
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(*.f64 (fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 1 binary64)) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i)) |
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i) #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal -1/4 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal -1/4 binary64)) (+.f64 beta alpha)) i))) i)) (*.f64 i i)) |
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 (*.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal -1/4 binary64) (/.f64 (-.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta alpha) beta) alpha) i) #s(literal 1/4 binary64)) (-.f64 (*.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/16 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal -1/4 binary64)) (+.f64 beta alpha))))) (fma.f64 (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 1 binary64)) i) #s(literal 1/4 binary64))) #s(literal 1/4 binary64) (/.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/16 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal -1/4 binary64)) (+.f64 beta alpha)))) (+.f64 beta alpha)) (neg.f64 i)))) (neg.f64 i))) i)) (*.f64 i i)) |
1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) i)) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (+.f64 beta alpha)) i) #s(literal -2 binary64) (*.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i) #s(literal -1/256 binary64)))) i)) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(-.f64 #s(literal 1/16 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (+.f64 beta alpha) (/.f64 (-.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta alpha) beta) alpha) i) #s(literal 1/16 binary64)) (-.f64 (*.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (*.f64 #s(literal -1/256 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))))))) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (*.f64 #s(literal -1/256 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64)))))) (+.f64 beta alpha)) i) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64)))) i) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 #s(literal -4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) i) #s(literal -1/256 binary64))))) i)))) i)) |
(pow i 2) |
(*.f64 i i) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta i)) (/.f64 alpha i)) (*.f64 i i)) |
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 alpha (/.f64 beta i) (+.f64 beta alpha))) i)) (*.f64 i i)) |
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 alpha (/.f64 beta i) (+.f64 beta alpha))) i)) (*.f64 i i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 736 |
| 0 | 98 | 639 |
| 1 | 412 | 639 |
| 2 | 3650 | 639 |
| 0 | 9131 | 606 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta)))) |
(+.f64 alpha i) |
(/.f64 i (*.f64 beta beta)) |
(*.f64 beta beta) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)) |
(/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta) |
(*.f64 (/.f64 (+.f64 alpha i) beta) i) |
(/.f64 (+.f64 alpha i) beta) |
(fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)))) i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) |
(*.f64 i (+.f64 (+.f64 alpha beta) i)) |
#s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) |
(*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i)) |
(*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)))) i))) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
#s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)))) i)) |
(/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) |
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
#s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i)) |
| Outputs |
|---|
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Compiled 107 328 to 4 310 computations (96% saved)
29 alts after pruning (26 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 178 | 16 | 2 194 |
| Fresh | 6 | 10 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 187 | 29 | 2 216 |
| Status | Accuracy | Program |
|---|---|---|
| 15.5% | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64))) | |
| ▶ | 33.0% | (/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) i))) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))) |
| 22.7% | (/.f64 (*.f64 (/.f64 i (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (*.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 i beta) i)) (+.f64 (+.f64 i alpha) beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| 22.7% | (/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)))) | |
| ▶ | 10.5% | (/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(approx (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (*.f64 beta (+.f64 alpha i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
| 17.1% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 i alpha) i)) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| 12.7% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 alpha i) i)) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) (* 2 i)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)))) #s(literal 1 binary64))) | |
| 31.4% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (-.f64 #s(approx (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (*.f64 (*.f64 i i) #s(literal 4 binary64))) #s(literal 1 binary64))) | |
| 3.1% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (*.f64 alpha alpha))) | |
| 32.5% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i #s(approx (+ (* (+ beta alpha) 2) (- (neg alpha) beta)) beta))) i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| 24.1% | (*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (+.f64 (+.f64 beta alpha) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)))) | |
| 12.2% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (fma.f64 (+.f64 i alpha) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 i alpha) (+.f64 i (+.f64 i alpha))) beta) (/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)) (+.f64 i alpha)) beta)))) (*.f64 beta beta))) | |
| ▶ | 26.1% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i))) |
| 14.7% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (+.f64 i alpha) (/.f64 (*.f64 beta beta) i))) | |
| ✓ | 26.0% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)) |
| 14.1% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 i alpha) i) (*.f64 beta beta))) | |
| 19.4% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 alpha i) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta i)))) | |
| 9.9% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (*.f64 (+.f64 i alpha) (-.f64 alpha i)) i) (*.f64 (-.f64 alpha i) (*.f64 beta beta)))) | |
| 23.0% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta)) | |
| ▶ | 11.2% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) i) beta)) |
| 19.0% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* (/ (+ alpha i) beta) i) (/.f64 (*.f64 i i) beta)) beta)) | |
| 25.9% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 alpha i)) (/.f64 beta i)))) | |
| 19.6% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 (/.f64 i beta) beta))) | |
| ✓ | 14.7% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta)))) |
| 23.1% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))) | |
| 11.2% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))) | |
| 24.3% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (exp.f64 (*.f64 (log.f64 (/.f64 beta (*.f64 (/.f64 (+.f64 i alpha) beta) i))) #s(literal -1 binary64)))) | |
| ▶ | 8.5% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
| ✓ | 75.9% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
Compiled 1 140 to 693 computations (39.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(approx (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (*.f64 beta (+.f64 alpha i)))) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(approx (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (*.f64 beta (+.f64 alpha i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| cost-diff | 128 | (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) | |
| cost-diff | 128 | (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 alpha i) | |
| cost-diff | 0 | (/.f64 (+.f64 alpha i) beta) | |
| cost-diff | 0 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i))) | |
| cost-diff | 384 | (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i)) | |
| cost-diff | 0 | #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) i) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) i) beta) | |
| cost-diff | 0 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) i) beta)) | |
| cost-diff | 0 | (/.f64 i (*.f64 beta beta)) | |
| cost-diff | 0 | (*.f64 alpha (/.f64 i (*.f64 beta beta))) | |
| cost-diff | 0 | #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (*.f64 alpha (/.f64 i (*.f64 beta beta)))) | |
| cost-diff | 0 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) | |
| cost-diff | 0 | #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) i))) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) i))) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) | |
| cost-diff | 704 | (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) | |
| cost-diff | 704 | (/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) i))) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 856 |
| 0 | 116 | 825 |
| 1 | 266 | 823 |
| 2 | 794 | 823 |
| 3 | 3829 | 757 |
| 4 | 5896 | 757 |
| 0 | 8126 | 738 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) i))) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) i))) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) i))) |
#s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) i)) |
(*.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) i) |
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) |
(+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) |
(fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) |
#s(literal 2 binary64) |
(+.f64 beta alpha) |
beta |
alpha |
(-.f64 (neg.f64 alpha) beta) |
(neg.f64 alpha) |
i |
#s(literal 1/4 binary64) |
(+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) |
#s(literal 1 binary64) |
(fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) |
(-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (/ (* (/ (+ alpha i) beta) i) beta) (*.f64 alpha (/.f64 i (*.f64 beta beta)))) |
(*.f64 alpha (/.f64 i (*.f64 beta beta))) |
alpha |
(/.f64 i (*.f64 beta beta)) |
i |
(*.f64 beta beta) |
beta |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) i) beta)) |
(/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) i) beta) |
(*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) i) |
#s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) |
(/.f64 alpha beta) |
alpha |
beta |
i |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i))) |
(/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i)) |
(/.f64 (+.f64 alpha i) beta) |
(+.f64 alpha i) |
alpha |
i |
beta |
(/.f64 beta i) |
(/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(approx (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (*.f64 beta (+.f64 alpha i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(approx (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (*.f64 beta (+.f64 alpha i)))) |
(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
i |
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) |
#s(literal 2 binary64) |
(+.f64 alpha beta) |
alpha |
beta |
#s(approx (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (*.f64 beta (+.f64 alpha i))) |
(*.f64 beta (+.f64 alpha i)) |
(+.f64 alpha i) |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) i))) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) (+.f64 (+.f64 alpha beta) i)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) i))) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) (+.f64 (+.f64 alpha beta) i)))) (fma.f64 i #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) alpha) beta))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) i))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) (+.f64 (+.f64 alpha beta) i)))) |
#s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) i)) |
#s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) (+.f64 (+.f64 alpha beta) i))) |
(*.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) i) |
(*.f64 (*.f64 #s(literal 1/4 binary64) i) (+.f64 (+.f64 alpha beta) i)) |
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) |
(*.f64 (+.f64 (+.f64 alpha beta) i) #s(literal 1/4 binary64)) |
(+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) |
(+.f64 (+.f64 alpha beta) i) |
(fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) |
(+.f64 alpha beta) |
#s(literal 2 binary64) |
(+.f64 beta alpha) |
(+.f64 alpha beta) |
beta |
alpha |
(-.f64 (neg.f64 alpha) beta) |
(-.f64 (neg.f64 beta) alpha) |
(neg.f64 alpha) |
i |
#s(literal 1/4 binary64) |
(+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) |
(fma.f64 i #s(literal 2 binary64) (+.f64 (+.f64 #s(literal 1 binary64) alpha) beta)) |
#s(literal 1 binary64) |
(fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) |
(fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) |
(-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64)) |
(fma.f64 i #s(literal 2 binary64) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (*.f64 (/.f64 i (*.f64 beta beta)) alpha))) |
#s(approx (/ (* (/ (+ alpha i) beta) i) beta) (*.f64 alpha (/.f64 i (*.f64 beta beta)))) |
#s(approx (/ (* (/ (+ alpha i) beta) i) beta) (*.f64 (/.f64 i (*.f64 beta beta)) alpha)) |
(*.f64 alpha (/.f64 i (*.f64 beta beta))) |
(*.f64 (/.f64 i (*.f64 beta beta)) alpha) |
alpha |
(/.f64 i (*.f64 beta beta)) |
i |
(*.f64 beta beta) |
beta |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) i) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 i beta) #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)))) |
(/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) i) beta) |
(*.f64 (/.f64 i beta) #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta))) |
(*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) i) |
#s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) |
(/.f64 alpha beta) |
alpha |
beta |
i |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (/.f64 (+.f64 i alpha) beta) beta) i)) |
(/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i)) |
(*.f64 (/.f64 (/.f64 (+.f64 i alpha) beta) beta) i) |
(/.f64 (+.f64 alpha i) beta) |
(/.f64 (+.f64 i alpha) beta) |
(+.f64 alpha i) |
(+.f64 i alpha) |
alpha |
i |
beta |
(/.f64 beta i) |
(/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(approx (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (*.f64 beta (+.f64 alpha i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(approx (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (*.f64 (+.f64 i alpha) beta))) |
(*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(approx (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (*.f64 beta (+.f64 alpha i)))) |
(*.f64 (/.f64 #s(approx (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (*.f64 (+.f64 i alpha) beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) i) |
(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
(/.f64 i (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) |
i |
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) |
(fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) |
#s(literal 2 binary64) |
(+.f64 alpha beta) |
alpha |
beta |
#s(approx (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (*.f64 beta (+.f64 alpha i))) |
#s(approx (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (*.f64 (+.f64 i alpha) beta)) |
(*.f64 beta (+.f64 alpha i)) |
(*.f64 (+.f64 i alpha) beta) |
(+.f64 alpha i) |
(+.f64 i alpha) |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
(*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) |
(*.f64 #s(literal 2 binary64) i) |
(*.f64 i #s(literal 2 binary64)) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) | |
| accuracy | 4.54077566892143 | (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(approx (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (*.f64 beta (+.f64 alpha i)))) | |
| accuracy | 35.37367466449744 | (/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(approx (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (*.f64 beta (+.f64 alpha i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| accuracy | 35.44440546334053 | #s(approx (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (*.f64 beta (+.f64 alpha i))) | |
| accuracy | 0 | (/.f64 beta i) | |
| accuracy | 0 | (+.f64 alpha i) | |
| accuracy | 0.171875 | (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i)) | |
| accuracy | 47.24823397617466 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i))) | |
| accuracy | 0.14453125 | (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) i) | |
| accuracy | 5.048552869086693 | (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) i) beta) | |
| accuracy | 47.24823397617466 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) i) beta)) | |
| accuracy | 59.89994045654133 | #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) | |
| accuracy | 8.809961191718429 | (/.f64 i (*.f64 beta beta)) | |
| accuracy | 9.909211496487705 | (*.f64 alpha (/.f64 i (*.f64 beta beta))) | |
| accuracy | 47.24823397617466 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) | |
| accuracy | 56.62415921348416 | #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (*.f64 alpha (/.f64 i (*.f64 beta beta)))) | |
| accuracy | 0 | #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) i)) | |
| accuracy | 0.05859375 | (/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) i))) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))) | |
| accuracy | 11.696601433389562 | #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) i))) | |
| accuracy | 29.831339292661035 | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) i))) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) |
| 181.0ms | 256× | 0 | valid |
Compiled 1 078 to 105 computations (90.3% saved)
ival-mult: 67.0ms (44% of total)ival-div: 64.0ms (42% of total)ival-add: 15.0ms (9.9% of total)ival-sub: 4.0ms (2.6% of total)ival-neg: 1.0ms (0.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) i))) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) i))) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) (patch (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) i))) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (patch (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) i))) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) #<representation binary64>) () ()) |
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| Outputs |
|---|
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 43.0ms | alpha | @ | -inf | ((/ (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ 1 (+ (* i 2) (+ beta alpha)))) (- (+ (* i 2) (+ beta alpha)) 1)) (+ (* 2 (+ beta alpha)) (- (neg alpha) beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ 1 (+ (* i 2) (+ beta alpha)))) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (/ (+ alpha i) beta) i) beta) (* alpha (/ i (* beta beta))) (/ i (* beta beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (/ (+ alpha i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ alpha i) beta) (/ (/ (+ alpha i) beta) (/ beta i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ alpha i) beta) (+ alpha i) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (* (/ i (+ (* 2 i) (+ alpha beta))) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ i (+ (* 2 i) (+ alpha beta))) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta)))) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (/ beta i) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (/ i (+ (* 2 i) (+ alpha beta)))) |
| 14.0ms | i | @ | 0 | ((/ (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ 1 (+ (* i 2) (+ beta alpha)))) (- (+ (* i 2) (+ beta alpha)) 1)) (+ (* 2 (+ beta alpha)) (- (neg alpha) beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ 1 (+ (* i 2) (+ beta alpha)))) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (/ (+ alpha i) beta) i) beta) (* alpha (/ i (* beta beta))) (/ i (* beta beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (/ (+ alpha i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ alpha i) beta) (/ (/ (+ alpha i) beta) (/ beta i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ alpha i) beta) (+ alpha i) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (* (/ i (+ (* 2 i) (+ alpha beta))) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ i (+ (* 2 i) (+ alpha beta))) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta)))) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (/ beta i) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (/ i (+ (* 2 i) (+ alpha beta)))) |
| 11.0ms | beta | @ | -inf | ((/ (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ 1 (+ (* i 2) (+ beta alpha)))) (- (+ (* i 2) (+ beta alpha)) 1)) (+ (* 2 (+ beta alpha)) (- (neg alpha) beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ 1 (+ (* i 2) (+ beta alpha)))) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (/ (+ alpha i) beta) i) beta) (* alpha (/ i (* beta beta))) (/ i (* beta beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (/ (+ alpha i) beta) i) beta) (* (/ (+ alpha i) beta) i) (/ (+ alpha i) beta) (/ (/ (+ alpha i) beta) (/ beta i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (+ alpha i) beta) (+ alpha i) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (* (/ i (+ (* 2 i) (+ alpha beta))) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ i (+ (* 2 i) (+ alpha beta))) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta)))) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (/ beta i) (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (/ i (+ (* 2 i) (+ alpha beta)))) |
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| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2375 | 54670 |
| 0 | 8497 | 49983 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 alpha) alpha) i)))) |
(+ (* 1/4 (* beta i)) (* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 alpha) alpha) i))))) |
(+ (* 1/4 (* beta i)) (* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 alpha) alpha) i))))) |
(+ (* 1/4 (* beta i)) (* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 alpha) alpha) i))))) |
(/ beta i) |
(/ beta i) |
(/ beta i) |
(/ beta i) |
(/ (* i (pow (+ alpha i) 2)) (+ alpha (* 2 i))) |
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(/ i (+ alpha (* 2 i))) |
(+ (* -1 (/ (* beta i) (pow (+ alpha (* 2 i)) 2))) (/ i (+ alpha (* 2 i)))) |
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(/ (* i (+ alpha i)) (pow beta 2)) |
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beta |
(* beta (- (+ 1 (* 2 (/ alpha beta))) (/ alpha beta))) |
(* beta (- (+ 1 (* 2 (/ alpha beta))) (/ alpha beta))) |
(* beta (- (+ 1 (* 2 (/ alpha beta))) (/ alpha beta))) |
(/ (* i (+ alpha i)) beta) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (+ alpha i))) beta)) beta) |
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (+ alpha i))) beta) (+ (/ (* i (* (+ alpha i) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)))) (pow beta 2)) (/ (* (+ 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (+ alpha i))))) (pow beta 2))))) beta) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ 1 (+ alpha (* 2 i))) (* (+ alpha i) (pow (+ alpha (* 2 i)) 2)))) (+ (* (+ 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (+ alpha i)))))))) (* (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (+ alpha i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (+ alpha i))) beta) (+ (/ (* i (* (+ alpha i) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)))) (pow beta 2)) (/ (* (+ 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (+ alpha i))))) (pow beta 2))))) beta) |
(* i (+ alpha i)) |
(- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) |
(- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) beta) |
(/ (* i (+ alpha i)) beta) |
(/ (* i (+ alpha i)) beta) |
(/ (* i (+ alpha i)) beta) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta))))) |
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2)))) |
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2)))) |
beta |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(* i (+ alpha i)) |
(- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) |
(- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(* 1/4 (* beta i)) |
(* beta (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta))) |
(* beta (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta))) |
(* beta (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta))) |
(/ beta i) |
(/ beta i) |
(/ beta i) |
(/ beta i) |
(* beta (+ alpha i)) |
(* beta (- (+ alpha (+ i (+ (/ (* i (+ alpha i)) beta) (/ (pow (+ alpha i) 2) beta)))) (/ (* (+ alpha i) (+ alpha (* 2 i))) beta))) |
(* beta (- (+ alpha (+ i (+ (/ (* i (+ alpha i)) beta) (+ (/ (* i (pow (+ alpha i) 2)) (pow beta 2)) (/ (pow (+ alpha i) 2) beta))))) (+ (/ (* (+ alpha i) (+ alpha (* 2 i))) beta) (/ (* (+ alpha (* 2 i)) (- (+ (* i (+ alpha i)) (pow (+ alpha i) 2)) (* (+ alpha i) (+ alpha (* 2 i))))) (pow beta 2))))) |
(* beta (- (+ alpha (+ i (+ (* -1 (/ (* (+ alpha (* 2 i)) (- (* i (pow (+ alpha i) 2)) (* (+ alpha (* 2 i)) (- (+ (* i (+ alpha i)) (pow (+ alpha i) 2)) (* (+ alpha i) (+ alpha (* 2 i))))))) (pow beta 3))) (+ (/ (* i (+ alpha i)) beta) (+ (/ (* i (pow (+ alpha i) 2)) (pow beta 2)) (/ (pow (+ alpha i) 2) beta)))))) (+ (/ (* (+ alpha i) (+ alpha (* 2 i))) beta) (/ (* (+ alpha (* 2 i)) (- (+ (* i (+ alpha i)) (pow (+ alpha i) 2)) (* (+ alpha i) (+ alpha (* 2 i))))) (pow beta 2))))) |
(/ i beta) |
(/ (+ i (* -1 (/ (* i (+ alpha (* 2 i))) beta))) beta) |
(/ (- (+ i (/ (* i (pow (+ alpha (* 2 i)) 2)) (pow beta 2))) (/ (* i (+ alpha (* 2 i))) beta)) beta) |
(/ (- (+ i (* -1 (/ (* i (pow (+ alpha (* 2 i)) 3)) (pow beta 3)))) (+ (* -1 (/ (* i (pow (+ alpha (* 2 i)) 2)) (pow beta 2))) (/ (* i (+ alpha (* 2 i))) beta))) beta) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))) (* (+ 1 (+ alpha (* 2 i))) (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (+ (/ (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))))))) beta) (/ (* (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))))) beta)))) (+ (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))) beta))) (pow beta 2)) |
beta |
(* -1 (* beta (- (* -1 (/ (- (* 2 alpha) alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (- (* 2 alpha) alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (- (* 2 alpha) alpha) beta)) 1))) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) beta)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i)))) beta)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (/ (- (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (+ (* -1 (* i (* (+ (* -2 (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* -1 (pow (+ alpha (* 2 i)) 2))) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ 1 (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) (+ (* -1 alpha) (* -1 i)))))))))) beta))) (* -1 (* i (* (+ 1 (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i)))) beta)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (+ (* -1 (/ (* i (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))) beta)) (+ (* -1 (/ (* (+ 1 (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) (- (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (+ (* -1 (* i (* (+ (* -2 (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* -1 (pow (+ alpha (* 2 i)) 2))) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ 1 (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) (+ (* -1 alpha) (* -1 i))))))))))) beta)) (* -1 (/ (* (+ (* -2 (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* -1 (pow (+ alpha (* 2 i)) 2))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) (+ (* -1 alpha) (* -1 i))))))) beta))))) (+ (* -1 (* i (* (+ (* -2 (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* -1 (pow (+ alpha (* 2 i)) 2))) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ 1 (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) (+ (* -1 alpha) (* -1 i)))))))))) beta))) (* -1 (* i (* (+ 1 (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i)))) beta)) |
(* -1 (* i (+ (* -1 alpha) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) beta) |
(/ (* i (+ alpha i)) beta) |
(/ (* i (+ alpha i)) beta) |
(/ (* i (+ alpha i)) beta) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta)))) |
beta |
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1))) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(* -1 (* i (+ (* -1 alpha) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(* 1/4 (* beta i)) |
(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta)) (* -1/4 i)))) |
(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta)) (* -1/4 i)))) |
(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta)) (* -1/4 i)))) |
(/ beta i) |
(/ beta i) |
(/ beta i) |
(/ beta i) |
(* -1 (* beta (+ (* -1 alpha) (* -1 i)))) |
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (* -1 (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta)))))) |
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (/ (- (* -1 (* i (pow (+ alpha i) 2))) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) beta))) (* -1 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta)))))) |
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(/ i beta) |
(* -1 (/ (+ (* -1 i) (/ (* i (+ alpha (* 2 i))) beta)) beta)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (/ (* i (pow (+ alpha (* 2 i)) 2)) beta) (* i (+ alpha (* 2 i)))) beta))) beta)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* -1 (/ (- (/ (* i (pow (+ alpha (* 2 i)) 3)) beta) (* i (pow (+ alpha (* 2 i)) 2))) beta)) (* i (+ alpha (* 2 i)))) beta))) beta)) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (+ 1 (+ beta (* 2 i))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1)))) |
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(- (* 2 beta) beta) |
(- (+ alpha (* 2 beta)) beta) |
(- (+ alpha (* 2 beta)) beta) |
(- (+ alpha (* 2 beta)) beta) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (+ 1 (+ beta (* 2 i))) (pow (+ beta (* 2 i)) 2))) |
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(/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)) |
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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
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(/ (pow i 2) (pow beta 2)) |
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(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
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(/ (pow i 2) (pow beta 2)) |
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(/ i beta) |
(+ (/ alpha beta) (/ i beta)) |
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i |
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(- (pow (+ beta (* 2 i)) 2) 1) |
(- (+ (* alpha (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1) |
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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
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(/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)) |
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(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 beta) beta) i)))) |
(+ (* 1/4 (* alpha i)) (* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 beta) beta) i))))) |
(+ (* 1/4 (* alpha i)) (* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 beta) beta) i))))) |
(+ (* 1/4 (* alpha i)) (* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 beta) beta) i))))) |
(/ (* i (pow (+ beta i) 2)) (+ beta (* 2 i))) |
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(/ i (+ beta (* 2 i))) |
(+ (* -1 (/ (* alpha i) (pow (+ beta (* 2 i)) 2))) (/ i (+ beta (* 2 i)))) |
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(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
alpha |
(* alpha (- (+ 1 (* 2 (/ beta alpha))) (/ beta alpha))) |
(* alpha (- (+ 1 (* 2 (/ beta alpha))) (/ beta alpha))) |
(* alpha (- (+ 1 (* 2 (/ beta alpha))) (/ beta alpha))) |
(/ (* i (+ beta i)) alpha) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (+ beta i))) alpha)) alpha) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (+ beta i))) alpha) (+ (/ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)))) (pow alpha 2)) (/ (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (+ beta i))))) (pow alpha 2))))) alpha) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ 1 (+ beta (* 2 i))) (* (+ beta i) (pow (+ beta (* 2 i)) 2)))) (+ (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (+ beta i)))))))) (* (+ (* (+ 1 (+ beta (* 2 i))) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (+ beta i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (+ beta i))) alpha) (+ (/ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)))) (pow alpha 2)) (/ (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (+ beta i))))) (pow alpha 2))))) alpha) |
(* i (+ beta i)) |
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha)) |
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (* alpha i) (pow beta 2)) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (* alpha i) (pow beta 2)) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(/ (* alpha i) beta) |
(* alpha (+ (/ i beta) (/ (pow i 2) (* alpha beta)))) |
(* alpha (+ (/ i beta) (/ (pow i 2) (* alpha beta)))) |
(* alpha (+ (/ i beta) (/ (pow i 2) (* alpha beta)))) |
(/ alpha beta) |
(* alpha (+ (/ 1 beta) (/ i (* alpha beta)))) |
(* alpha (+ (/ 1 beta) (/ i (* alpha beta)))) |
(* alpha (+ (/ 1 beta) (/ i (* alpha beta)))) |
(/ (* alpha i) (pow beta 2)) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ alpha beta) |
(* alpha (+ (/ 1 beta) (/ i (* alpha beta)))) |
(* alpha (+ (/ 1 beta) (/ i (* alpha beta)))) |
(* alpha (+ (/ 1 beta) (/ i (* alpha beta)))) |
alpha |
(* alpha (+ 1 (/ i alpha))) |
(* alpha (+ 1 (/ i alpha))) |
(* alpha (+ 1 (/ i alpha))) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha))))) |
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2)))) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(* i (+ beta i)) |
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha)) |
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(* 1/4 (* alpha i)) |
(* alpha (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha))) |
(* alpha (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha))) |
(* alpha (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha))) |
(* alpha (+ beta i)) |
(* alpha (- (+ beta (+ i (+ (/ (* i (+ beta i)) alpha) (/ (pow (+ beta i) 2) alpha)))) (/ (* (+ beta i) (+ beta (* 2 i))) alpha))) |
(* alpha (- (+ beta (+ i (+ (/ (* i (+ beta i)) alpha) (+ (/ (* i (pow (+ beta i) 2)) (pow alpha 2)) (/ (pow (+ beta i) 2) alpha))))) (+ (/ (* (+ beta i) (+ beta (* 2 i))) alpha) (/ (* (+ beta (* 2 i)) (- (+ (* i (+ beta i)) (pow (+ beta i) 2)) (* (+ beta i) (+ beta (* 2 i))))) (pow alpha 2))))) |
(* alpha (- (+ beta (+ i (+ (* -1 (/ (* (+ beta (* 2 i)) (- (* i (pow (+ beta i) 2)) (* (+ beta (* 2 i)) (- (+ (* i (+ beta i)) (pow (+ beta i) 2)) (* (+ beta i) (+ beta (* 2 i))))))) (pow alpha 3))) (+ (/ (* i (+ beta i)) alpha) (+ (/ (* i (pow (+ beta i) 2)) (pow alpha 2)) (/ (pow (+ beta i) 2) alpha)))))) (+ (/ (* (+ beta i) (+ beta (* 2 i))) alpha) (/ (* (+ beta (* 2 i)) (- (+ (* i (+ beta i)) (pow (+ beta i) 2)) (* (+ beta i) (+ beta (* 2 i))))) (pow alpha 2))))) |
(/ i alpha) |
(/ (+ i (* -1 (/ (* i (+ beta (* 2 i))) alpha))) alpha) |
(/ (- (+ i (/ (* i (pow (+ beta (* 2 i)) 2)) (pow alpha 2))) (/ (* i (+ beta (* 2 i))) alpha)) alpha) |
(/ (- (+ i (* -1 (/ (* i (pow (+ beta (* 2 i)) 3)) (pow alpha 3)))) (+ (* -1 (/ (* i (pow (+ beta (* 2 i)) 2)) (pow alpha 2))) (/ (* i (+ beta (* 2 i))) alpha))) alpha) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))) (* (+ 1 (+ beta (* 2 i))) (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (+ (/ (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))))))) alpha) (/ (* (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))) alpha)))) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
alpha |
(* -1 (* alpha (- (* -1 (/ (- (* 2 beta) beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (- (* 2 beta) beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (- (* 2 beta) beta) alpha)) 1))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) alpha)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (/ (- (* -1 (* (pow i 2) (pow (+ beta i) 2))) (+ (* -1 (* i (* (+ (* -2 (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* -1 (pow (+ beta (* 2 i)) 2))) (+ (* -1 beta) (* -1 i))))) (* -1 (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (+ (* -1 beta) (* -1 i)))))))))) alpha))) (* -1 (* i (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (pow (+ beta i) 2))) (+ (* -1 (/ (* i (* (+ 1 (+ beta (* 2 i))) (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))) alpha)) (+ (* -1 (/ (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (- (* -1 (* (pow i 2) (pow (+ beta i) 2))) (+ (* -1 (* i (* (+ (* -2 (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* -1 (pow (+ beta (* 2 i)) 2))) (+ (* -1 beta) (* -1 i))))) (* -1 (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (+ (* -1 beta) (* -1 i))))))))))) alpha)) (* -1 (/ (* (+ (* -2 (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* -1 (pow (+ beta (* 2 i)) 2))) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (+ (* -1 beta) (* -1 i))))))) alpha))))) (+ (* -1 (* i (* (+ (* -2 (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* -1 (pow (+ beta (* 2 i)) 2))) (+ (* -1 beta) (* -1 i))))) (* -1 (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (+ (* -1 beta) (* -1 i)))))))))) alpha))) (* -1 (* i (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i)))) alpha)) |
(* -1 (* i (+ (* -1 beta) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (* alpha i) (pow beta 2)) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (* alpha i) (pow beta 2)) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(/ (* alpha i) beta) |
(* -1 (* alpha (+ (* -1 (/ i beta)) (* -1 (/ (pow i 2) (* alpha beta)))))) |
(* -1 (* alpha (+ (* -1 (/ i beta)) (* -1 (/ (pow i 2) (* alpha beta)))))) |
(* -1 (* alpha (+ (* -1 (/ i beta)) (* -1 (/ (pow i 2) (* alpha beta)))))) |
(/ alpha beta) |
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta)))) |
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta)))) |
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta)))) |
(/ (* alpha i) (pow beta 2)) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ alpha beta) |
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta)))) |
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta)))) |
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta)))) |
alpha |
(* -1 (* alpha (- (* -1 (/ i alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ i alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ i alpha)) 1))) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha)))) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(* -1 (* i (+ (* -1 beta) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(* 1/4 (* alpha i)) |
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)) (* -1/4 i)))) |
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)) (* -1/4 i)))) |
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)) (* -1/4 i)))) |
(* -1 (* alpha (+ (* -1 beta) (* -1 i)))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (* -1 (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)))))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (/ (- (* -1 (* i (pow (+ beta i) 2))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) alpha))) (* -1 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)))))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (/ (- (+ (* -1 (* i (pow (+ beta i) 2))) (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (* i (pow (+ beta i) 2))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))))) alpha))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) alpha))) (* -1 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)))))) |
(/ i alpha) |
(* -1 (/ (+ (* -1 i) (/ (* i (+ beta (* 2 i))) alpha)) alpha)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (/ (* i (pow (+ beta (* 2 i)) 2)) alpha) (* i (+ beta (* 2 i)))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* -1 (/ (- (/ (* i (pow (+ beta (* 2 i)) 3)) alpha) (* i (pow (+ beta (* 2 i)) 2))) alpha)) (* i (+ beta (* 2 i)))) alpha))) alpha)) |
(/ (* alpha (* beta i)) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1)))) |
(* i (+ (* i (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1)))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (* 2 (/ beta (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))) (+ (/ (* alpha (* beta (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))))) (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1)))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(/ alpha beta) |
(+ (/ alpha beta) (/ i beta)) |
(+ (/ alpha beta) (/ i beta)) |
(+ (/ alpha beta) (/ i beta)) |
alpha |
(+ alpha i) |
(+ alpha i) |
(+ alpha i) |
(- (pow (+ alpha beta) 2) 1) |
(- (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) 1) |
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1) |
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1) |
(+ alpha beta) |
(+ alpha (+ beta (* 2 i))) |
(+ alpha (+ beta (* 2 i))) |
(+ alpha (+ beta (* 2 i))) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(* 1/4 (* i (- (* 2 (+ alpha beta)) (+ alpha beta)))) |
(* i (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))))) |
(* i (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))))) |
(* i (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))))) |
(/ beta i) |
(/ beta i) |
(/ beta i) |
(/ beta i) |
(* alpha beta) |
(+ (* alpha beta) (* i (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))))) |
(+ (* alpha beta) (* i (- (+ alpha (+ beta (+ (* i (- (+ (* 2 (/ alpha (+ alpha beta))) (* 2 (/ beta (+ alpha beta)))) (* 2 (/ (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))) (+ alpha beta))))) (/ (* alpha beta) (+ alpha beta))))) (* 2 (/ (* alpha beta) (+ alpha beta)))))) |
(+ (* alpha beta) (* i (- (+ alpha (+ beta (+ (* i (- (+ (* 2 (/ alpha (+ alpha beta))) (+ (* 2 (/ beta (+ alpha beta))) (* i (- (/ 1 (+ alpha beta)) (* 2 (/ (- (+ (* 2 (/ alpha (+ alpha beta))) (* 2 (/ beta (+ alpha beta)))) (* 2 (/ (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))) (+ alpha beta)))) (+ alpha beta))))))) (* 2 (/ (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))) (+ alpha beta))))) (/ (* alpha beta) (+ alpha beta))))) (* 2 (/ (* alpha beta) (+ alpha beta)))))) |
(/ i (+ alpha beta)) |
(* i (+ (* -2 (/ i (pow (+ alpha beta) 2))) (/ 1 (+ alpha beta)))) |
(* i (+ (* i (- (* 4 (/ i (pow (+ alpha beta) 3))) (* 2 (/ 1 (pow (+ alpha beta) 2))))) (/ 1 (+ alpha beta)))) |
(* i (+ (* i (- (* i (+ (* -8 (/ i (pow (+ alpha beta) 4))) (* 4 (/ 1 (pow (+ alpha beta) 3))))) (* 2 (/ 1 (pow (+ alpha beta) 2))))) (/ 1 (+ alpha beta)))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/256 (/ (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) i))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (pow i 2))) (+ (* 1/256 (/ (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) i)) (* 1/16 (/ (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))) (pow i 2)))))) |
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (pow i 3))) (+ (* 1/256 (/ (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (pow i 2))) (+ (* 1/256 (/ (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) i)) (+ (* 1/16 (/ (* (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))) (pow i 3))) (+ (* 1/16 (/ (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))) (pow i 2))) (* 1/16 (/ (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))) (* 1/16 (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))))))) (pow i 3))))))))) |
(* 1/8 i) |
(* i (- (+ 1/8 (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/64 (/ (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) i)))) |
(* i (- (+ 1/8 (+ (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/8 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/64 (/ (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) i)) (* 1/8 (/ (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))) (pow i 2))))))) |
(* i (- (+ 1/8 (+ (* 1/8 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/8 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/64 (/ (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)) (pow i 3))) (+ (* 1/64 (/ (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) i)) (+ (* 1/8 (/ (* (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))) (pow i 3))) (+ (* 1/8 (/ (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))) (pow i 2))) (* 1/8 (/ (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/64 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta))))) (* 1/8 (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))))))) (pow i 3)))))))))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2)))))) |
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3))))))))) |
(/ (pow i 2) (pow beta 2)) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2)))))) |
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3))))))))) |
(/ (pow i 2) (pow beta 2)) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(/ (pow i 2) beta) |
(* (pow i 2) (+ (/ 1 beta) (/ alpha (* beta i)))) |
(* (pow i 2) (+ (/ 1 beta) (/ alpha (* beta i)))) |
(* (pow i 2) (+ (/ 1 beta) (/ alpha (* beta i)))) |
(/ i beta) |
(* i (+ (/ 1 beta) (/ alpha (* beta i)))) |
(* i (+ (/ 1 beta) (/ alpha (* beta i)))) |
(* i (+ (/ 1 beta) (/ alpha (* beta i)))) |
(/ (pow i 2) (pow beta 2)) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2)))))) |
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3))))))))) |
(/ i beta) |
(* i (+ (/ 1 beta) (/ alpha (* beta i)))) |
(* i (+ (/ 1 beta) (/ alpha (* beta i)))) |
(* i (+ (/ 1 beta) (/ alpha (* beta i)))) |
i |
(* i (+ 1 (/ alpha i))) |
(* i (+ 1 (/ alpha i))) |
(* i (+ 1 (/ alpha i))) |
(* 4 (pow i 2)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2)))) |
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2)))) |
(* 2 i) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2)))))) |
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3))))))))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(/ beta i) |
(/ beta i) |
(/ beta i) |
(/ beta i) |
(* 1/2 (pow i 2)) |
(* (pow i 2) (- (+ 1/2 (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (- (+ 1/2 (+ (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/2 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
(* (pow i 2) (- (+ 1/2 (+ (* 1/2 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/2 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/2 (* (+ alpha beta) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3))))))) |
1/2 |
(+ 1/2 (* -1/4 (/ (+ alpha beta) i))) |
(- (+ 1/2 (* 1/8 (/ (pow (+ alpha beta) 2) (pow i 2)))) (* 1/4 (/ (+ alpha beta) i))) |
(- (+ 1/2 (* -1/16 (/ (pow (+ alpha beta) 3) (pow i 3)))) (+ (* -1/8 (/ (pow (+ alpha beta) 2) (pow i 2))) (* 1/4 (/ (+ alpha beta) i)))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* -1/256 (/ (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1/256 (/ (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) i)) (* 1/16 (/ (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/256 (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))) (* 1/16 (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1/256 (/ (+ (* -2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2))))) i)) (+ (* 1/16 (/ (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/256 (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))) (* 1/16 (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))))))) i)) (* 1/16 (/ (* (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) i))))) i))) i))) |
(* 1/8 i) |
(* -1 (* i (- (* -1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (+ 1/8 (* -1/64 (/ (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) i)))))) |
(* -1 (* i (- (* -1 (/ (- (+ (* -1 (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))) (* -1/8 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1/8 (/ (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))) i)) (* -1/64 (/ (+ (* -4 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* -2 (pow (+ alpha beta) 2))) i)))) i)) 1/8))) |
(* -1 (* i (- (* -1 (/ (+ (* -1 (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))) (* -1 (/ (- (+ (* -1 (- (* -1/8 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/8 (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))))))) (* -1/64 (+ (* -4 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* -2 (pow (+ alpha beta) 2))))))) (* -1/8 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1/8 (/ (* (+ (* -4 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* -2 (pow (+ alpha beta) 2))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))) i)) (+ (* -1/8 (/ (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/8 (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))))))) (* -1/64 (+ (* -4 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* -2 (pow (+ alpha beta) 2))))))) i)) (* -1/64 (/ (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)) i))))) i))) i)) 1/8))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i)))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(/ (pow i 2) (pow beta 2)) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(/ (pow i 2) (pow beta 2)) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(/ (pow i 2) beta) |
(* (pow i 2) (+ (/ 1 beta) (/ alpha (* beta i)))) |
(* (pow i 2) (+ (/ 1 beta) (/ alpha (* beta i)))) |
(* (pow i 2) (+ (/ 1 beta) (/ alpha (* beta i)))) |
(/ i beta) |
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta)))) |
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta)))) |
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta)))) |
(/ (pow i 2) (pow beta 2)) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(/ i beta) |
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta)))) |
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta)))) |
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta)))) |
i |
(* -1 (* i (- (* -1 (/ alpha i)) 1))) |
(* -1 (* i (- (* -1 (/ alpha i)) 1))) |
(* -1 (* i (- (* -1 (/ alpha i)) 1))) |
(* 4 (pow i 2)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i)))) |
(* 2 i) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i)))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(/ beta i) |
(/ beta i) |
(/ beta i) |
(/ beta i) |
(* 1/2 (pow i 2)) |
(* (pow i 2) (+ 1/2 (* -1 (/ (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta))) i)))) |
(* (pow i 2) (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta)))))) i)) (* -1/2 (+ (* 2 alpha) (* 2 beta)))) (* -1/4 (+ alpha beta))) i)))) |
(* (pow i 2) (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* alpha (* beta (+ alpha beta)))) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta))))))))) i)) (* -1/2 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))))) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta)))))) i)) (* -1/2 (+ (* 2 alpha) (* 2 beta)))) (* -1/4 (+ alpha beta))) i)))) |
1/2 |
(+ 1/2 (* -1/4 (/ (+ alpha beta) i))) |
(+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow (+ alpha beta) 2) i)) (* -1/4 (+ alpha beta))) i))) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/16 (/ (pow (+ alpha beta) 3) i)) (* -1/8 (pow (+ alpha beta) 2))) i)) (* -1/4 (+ alpha beta))) i))) |
| Outputs |
|---|
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) |
(*.f64 (/.f64 (*.f64 i i) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))))) |
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2)))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) i) (*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (*.f64 i i)) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))))) beta (*.f64 (/.f64 (*.f64 i i) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))))) |
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (+ (/ (* (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2)))))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2))))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2)))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) i) (*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (*.f64 i i)) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))))) (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 alpha #s(literal 2 binary64) (*.f64 i #s(literal 6 binary64))) alpha) #s(literal 1 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (*.f64 i i)) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64)))))) beta (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) i) (*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (*.f64 i i)) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64)))))) beta (*.f64 (/.f64 (*.f64 i i) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))))) |
(+ (* beta (- (+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))) (- (/ (* i (+ alpha i)) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (+ (/ (* (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2)))))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2))))))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (+ (/ (* (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2)))))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 4 alpha) (* 8 i)))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2)))))))) (/ (* i (+ alpha i)) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (+ (/ (* (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2)))))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2))))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2)))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 beta) (fma.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) i) (*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 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(- (* 2 alpha) alpha) |
(-.f64 (*.f64 alpha #s(literal 2 binary64)) alpha) |
(- (+ beta (* 2 alpha)) alpha) |
(-.f64 (fma.f64 alpha #s(literal 2 binary64) beta) alpha) |
(- (+ beta (* 2 alpha)) alpha) |
(-.f64 (fma.f64 alpha #s(literal 2 binary64) beta) alpha) |
(- (+ beta (* 2 alpha)) alpha) |
(-.f64 (fma.f64 alpha #s(literal 2 binary64) beta) alpha) |
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (+ 1 (+ alpha (* 2 i))) (pow (+ alpha (* 2 i)) 2))) |
(*.f64 (/.f64 (*.f64 i i) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) |
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (+ 1 (+ alpha (* 2 i))) (pow (+ alpha (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 4))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (+ 1 (+ alpha (* 2 i))) (pow (+ alpha (* 2 i)) 2)))) |
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(+ (* beta (- (+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (+ 1 (+ alpha (* 2 i))) (pow (+ alpha (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 4))))) (* (+ 1 (+ alpha (* 2 i))) (pow (+ alpha (* 2 i)) 2))) (+ (/ (* (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) (- (/ (* i (+ alpha i)) (* (+ 1 (+ alpha (* 2 i))) (pow (+ alpha (* 2 i)) 2))) (+ (/ (* (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (+ 1 (+ alpha (* 2 i))) (pow (+ alpha (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 4))))) (* (+ 1 (+ alpha (* 2 i))) (pow (+ alpha (* 2 i)) 2))) (/ (* (pow i 2) (* (+ 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (pow (+ alpha i) 2))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 4)))))) (* (+ 1 (+ alpha (* 2 i))) (pow (+ alpha (* 2 i)) 2))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 4))))))) (/ (* i (+ alpha i)) (* (+ 1 (+ alpha (* 2 i))) (pow (+ alpha (* 2 i)) 2)))) (+ (/ (* (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (+ 1 (+ alpha (* 2 i))) (pow (+ alpha (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 4))))) (* (+ 1 (+ alpha (* 2 i))) (pow (+ alpha (* 2 i)) 2))) (/ (* (pow i 2) (* (+ 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (pow (+ alpha i) 2))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 4)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (+ 1 (+ alpha (* 2 i))) (pow (+ alpha (* 2 i)) 2)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 4))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (+ 1 (+ alpha (* 2 i))) (pow (+ alpha (* 2 i)) 2)))) |
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1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64))))))) beta (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) i) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 i i) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64)))))) beta (*.f64 (/.f64 (*.f64 i i) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))))) |
(/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)) |
(/.f64 (*.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) |
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64)))) beta (/.f64 (*.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) |
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (+.f64 alpha i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))))) beta (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))))) beta (/.f64 (*.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) |
(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 4)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (pow (+ alpha (* 2 i)) 2))))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2))) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 alpha i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))))) beta (-.f64 (/.f64 (*.f64 (+.f64 alpha i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64)))))) beta (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))))) beta (/.f64 (*.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) |
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(fma.f64 (-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 i i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))) (/.f64 (*.f64 (fma.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) beta (/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)) |
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(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 alpha) alpha) i)))) |
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beta |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (/.f64 alpha beta)) #s(literal 1 binary64)) beta) |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (/.f64 alpha beta)) #s(literal 1 binary64)) beta) |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (/.f64 alpha beta)) #s(literal 1 binary64)) beta) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 beta beta)) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
(/.f64 (-.f64 (fma.f64 (+.f64 alpha i) i (/.f64 (*.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) i) beta)) (/.f64 (*.f64 (*.f64 (+.f64 alpha i) i) (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha))) beta)) (*.f64 beta beta)) |
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/.f64 (-.f64 (fma.f64 (+.f64 alpha i) i (fma.f64 i (/.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) beta) (/.f64 (*.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 i i)) (*.f64 beta beta)))) (fma.f64 i (/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta) (fma.f64 i (/.f64 (*.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 alpha i)) (*.f64 beta beta)) (/.f64 (*.f64 (*.f64 i (-.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)))) (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha))) (*.f64 beta beta))))) (*.f64 beta beta)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
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(* i (+ alpha i)) |
(*.f64 (+.f64 alpha i) i) |
(- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) |
(-.f64 (fma.f64 (+.f64 alpha i) i (/.f64 (*.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) i) beta)) (/.f64 (*.f64 (*.f64 (+.f64 alpha i) i) (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64)))) beta)) |
(- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(-.f64 (fma.f64 (+.f64 alpha i) i (fma.f64 i (/.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) beta) (/.f64 (*.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 i i)) (*.f64 beta beta)))) (fma.f64 i (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (+.f64 alpha i)) beta) (fma.f64 i (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (+.f64 alpha i)) (*.f64 beta beta)) (/.f64 (*.f64 (*.f64 i (-.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (+.f64 alpha i)))) (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
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(* 1/4 (* beta i)) |
(*.f64 (*.f64 beta i) #s(literal 1/4 binary64)) |
(* beta (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta))) |
(*.f64 (fma.f64 (*.f64 i i) (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 alpha #s(literal 2 binary64)) alpha) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) beta) (*.f64 #s(literal 1/4 binary64) i)) beta) |
(* beta (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta))) |
(*.f64 (fma.f64 (*.f64 i i) (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 alpha #s(literal 2 binary64)) alpha) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) beta) (*.f64 #s(literal 1/4 binary64) i)) beta) |
(* beta (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta))) |
(*.f64 (fma.f64 (*.f64 i i) (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 alpha #s(literal 2 binary64)) alpha) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) beta) (*.f64 #s(literal 1/4 binary64) i)) beta) |
(/ beta i) |
(/.f64 beta i) |
(/ beta i) |
(/.f64 beta i) |
(/ beta i) |
(/.f64 beta i) |
(/ beta i) |
(/.f64 beta i) |
(* beta (+ alpha i)) |
(*.f64 beta (+.f64 alpha i)) |
(* beta (- (+ alpha (+ i (+ (/ (* i (+ alpha i)) beta) (/ (pow (+ alpha i) 2) beta)))) (/ (* (+ alpha i) (+ alpha (* 2 i))) beta))) |
(*.f64 (-.f64 (+.f64 (+.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) beta)) i) alpha) (*.f64 (+.f64 alpha i) (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta))) beta) |
(* beta (- (+ alpha (+ i (+ (/ (* i (+ alpha i)) beta) (+ (/ (* i (pow (+ alpha i) 2)) (pow beta 2)) (/ (pow (+ alpha i) 2) beta))))) (+ (/ (* (+ alpha i) (+ alpha (* 2 i))) beta) (/ (* (+ alpha (* 2 i)) (- (+ (* i (+ alpha i)) (pow (+ alpha i) 2)) (* (+ alpha i) (+ alpha (* 2 i))))) (pow beta 2))))) |
(*.f64 (-.f64 (+.f64 (+.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) (fma.f64 i (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) beta))) i) alpha) (fma.f64 (+.f64 alpha i) (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) (/.f64 (*.f64 (-.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (+.f64 alpha i))) (fma.f64 #s(literal 2 binary64) i alpha)) (*.f64 beta beta)))) beta) |
(* beta (- (+ alpha (+ i (+ (* -1 (/ (* (+ alpha (* 2 i)) (- (* i (pow (+ alpha i) 2)) (* (+ alpha (* 2 i)) (- (+ (* i (+ alpha i)) (pow (+ alpha i) 2)) (* (+ alpha i) (+ alpha (* 2 i))))))) (pow beta 3))) (+ (/ (* i (+ alpha i)) beta) (+ (/ (* i (pow (+ alpha i) 2)) (pow beta 2)) (/ (pow (+ alpha i) 2) beta)))))) (+ (/ (* (+ alpha i) (+ alpha (* 2 i))) beta) (/ (* (+ alpha (* 2 i)) (- (+ (* i (+ alpha i)) (pow (+ alpha i) 2)) (* (+ alpha i) (+ alpha (* 2 i))))) (pow beta 2))))) |
(*.f64 (-.f64 (+.f64 (+.f64 alpha i) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) i) (*.f64 (-.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (+.f64 alpha i))) (fma.f64 #s(literal 2 binary64) i alpha))) (fma.f64 #s(literal 2 binary64) i alpha)) (pow.f64 beta #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 i (/.f64 (+.f64 alpha i) beta) (fma.f64 i (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 beta beta)) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) beta))))) (fma.f64 (+.f64 alpha i) (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) (/.f64 (*.f64 (-.f64 (fma.f64 (+.f64 alpha i) i (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (+.f64 alpha i))) (fma.f64 #s(literal 2 binary64) i alpha)) (*.f64 beta beta)))) beta) |
(/ i beta) |
(/.f64 i beta) |
(/ (+ i (* -1 (/ (* i (+ alpha (* 2 i))) beta))) beta) |
(/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) i) beta) #s(literal -1 binary64) i) beta) |
(/ (- (+ i (/ (* i (pow (+ alpha (* 2 i)) 2)) (pow beta 2))) (/ (* i (+ alpha (* 2 i))) beta)) beta) |
(/.f64 (-.f64 (fma.f64 i (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (*.f64 beta beta)) i) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) i) beta)) beta) |
(/ (- (+ i (* -1 (/ (* i (pow (+ alpha (* 2 i)) 3)) (pow beta 3)))) (+ (* -1 (/ (* i (pow (+ alpha (* 2 i)) 2)) (pow beta 2))) (/ (* i (+ alpha (* 2 i))) beta))) beta) |
(/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 3 binary64)) i) (pow.f64 beta #s(literal 3 binary64))) #s(literal -1 binary64) i) (fma.f64 i (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) (neg.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) i) (*.f64 beta beta))))) beta) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/.f64 (*.f64 (neg.f64 i) (*.f64 #s(literal -1 binary64) (+.f64 alpha i))) (*.f64 beta beta)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))) beta))) (pow beta 2)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) i (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) (+.f64 alpha i) (*.f64 (neg.f64 i) (+.f64 alpha i))) i) (*.f64 (neg.f64 i) (*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) alpha) #s(literal 1 binary64)) #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (+.f64 alpha i))))) beta))) (*.f64 beta beta)) |
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(* 1/4 (* beta i)) |
(*.f64 (*.f64 beta i) #s(literal 1/4 binary64)) |
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(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta)) (* -1/4 i)))) |
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(/ beta i) |
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(/ beta i) |
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(/ beta i) |
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(* -1 (* beta (+ (* -1 alpha) (* -1 i)))) |
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(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (* -1 (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta)))))) |
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(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (/ (- (* -1 (* i (pow (+ alpha i) 2))) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) beta))) (* -1 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta)))))) |
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(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (/ (- (+ (* -1 (* i (pow (+ alpha i) 2))) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (* i (pow (+ alpha i) 2))) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))))) beta))) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) beta))) (* -1 (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta)))))) |
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(* -1 (/ (+ (* -1 i) (/ (* i (+ alpha (* 2 i))) beta)) beta)) |
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(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* -1 (/ (- (/ (* i (pow (+ alpha (* 2 i)) 3)) beta) (* i (pow (+ alpha (* 2 i)) 2))) beta)) (* i (+ alpha (* 2 i)))) beta))) beta)) |
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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (+ 1 (+ beta (* 2 i))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1)))) |
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(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (+ 1 (+ beta (* 2 i))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ 1 (+ beta (* 2 i))) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ beta (* 2 i)) 1) 2)))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (+ 1 (+ beta (* 2 i))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))))) |
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beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) (*.f64 (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)))) (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 i i)) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))))) alpha (*.f64 (/.f64 (*.f64 i i) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))))) |
(- (* 2 beta) beta) |
(-.f64 (*.f64 beta #s(literal 2 binary64)) beta) |
(- (+ alpha (* 2 beta)) beta) |
(-.f64 (fma.f64 beta #s(literal 2 binary64) alpha) beta) |
(- (+ alpha (* 2 beta)) beta) |
(-.f64 (fma.f64 beta #s(literal 2 binary64) alpha) beta) |
(- (+ alpha (* 2 beta)) beta) |
(-.f64 (fma.f64 beta #s(literal 2 binary64) alpha) beta) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (+ 1 (+ beta (* 2 i))) (pow (+ beta (* 2 i)) 2))) |
(*.f64 (/.f64 (*.f64 i i) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (+ 1 (+ beta (* 2 i))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ 1 (+ beta (* 2 i))) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 4))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (+ 1 (+ beta (* 2 i))) (pow (+ beta (* 2 i)) 2)))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 i i) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (*.f64 (/.f64 (*.f64 i i) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))) |
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (* (+ 1 (+ beta (* 2 i))) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (+ (* (+ 1 (+ beta (* 2 i))) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (+ 1 (+ beta (* 2 i))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ 1 (+ beta (* 2 i))) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 4))))) (* (+ 1 (+ beta (* 2 i))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (pow (+ beta i) 2))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 4)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (+ 1 (+ beta (* 2 i))) (pow (+ beta (* 2 i)) 2)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ 1 (+ beta (* 2 i))) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 4))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (+ 1 (+ beta (* 2 i))) (pow (+ beta (* 2 i)) 2)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)))) (fma.f64 (/.f64 (*.f64 i i) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 6 binary64))) beta) #s(literal 1 binary64)) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 i i) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)))))) alpha (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 i i) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))))) alpha (*.f64 (/.f64 (*.f64 i i) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))) |
(+ (* alpha (- (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (+ 1 (+ beta (* 2 i))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ 1 (+ beta (* 2 i))) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 4))))) (* (+ 1 (+ beta (* 2 i))) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (+ (* (+ 1 (+ beta (* 2 i))) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) (- (/ (* i (+ beta i)) (* (+ 1 (+ beta (* 2 i))) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (+ (* (+ 1 (+ beta (* 2 i))) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (+ 1 (+ beta (* 2 i))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ 1 (+ beta (* 2 i))) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 4))))) (* (+ 1 (+ beta (* 2 i))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (pow (+ beta i) 2))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 4)))))) (* (+ 1 (+ beta (* 2 i))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 4))))))) (/ (* i (+ beta i)) (* (+ 1 (+ beta (* 2 i))) (pow (+ beta (* 2 i)) 2)))) (+ (/ (* (+ (* (+ 1 (+ beta (* 2 i))) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (+ 1 (+ beta (* 2 i))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ 1 (+ beta (* 2 i))) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 4))))) (* (+ 1 (+ beta (* 2 i))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (pow (+ beta i) 2))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 4)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (+ 1 (+ beta (* 2 i))) (pow (+ beta (* 2 i)) 2)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ 1 (+ beta (* 2 i))) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 4))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (+ 1 (+ beta (* 2 i))) (pow (+ beta (* 2 i)) 2)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 alpha) (fma.f64 (+.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 6 binary64))) beta) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 i i) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)))) (fma.f64 (/.f64 (*.f64 i i) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)))) (fma.f64 (/.f64 (*.f64 i i) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 6 binary64))) beta) #s(literal 1 binary64)) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 i i) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)))))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)))))) (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)))) (fma.f64 (/.f64 (*.f64 i i) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 (+.f64 (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 6 binary64))) beta) #s(literal 1 binary64)) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 i i) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64))))))) alpha (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 i i) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))))) alpha (*.f64 (/.f64 (*.f64 i i) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)) |
(/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) |
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
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(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))))) alpha (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
(/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
(fma.f64 (-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 i i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))) (/.f64 (*.f64 (fma.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) alpha (/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (/.f64 (*.f64 i i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))) (/.f64 (*.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 i i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))) (/.f64 (*.f64 (fma.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (fma.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))))) alpha (-.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 i i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))) (/.f64 (*.f64 (fma.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))))) alpha (/.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(+ (* alpha (- (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 4 beta) (* 8 i)))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))))) (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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(/ (pow i 2) (pow beta 2)) |
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(/ (* alpha i) (pow beta 2)) |
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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
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(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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#s(literal 1 binary64)))) |
(/ (pow i 2) (pow beta 2)) |
(/.f64 (*.f64 i i) (*.f64 beta beta)) |
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2))) |
(fma.f64 alpha (/.f64 i (*.f64 beta beta)) (/.f64 (*.f64 i i) (*.f64 beta beta))) |
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2))) |
(fma.f64 alpha (/.f64 i (*.f64 beta beta)) (/.f64 (*.f64 i i) (*.f64 beta beta))) |
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2))) |
(fma.f64 alpha (/.f64 i (*.f64 beta beta)) (/.f64 (*.f64 i i) (*.f64 beta beta))) |
(/ (pow i 2) beta) |
(/.f64 (*.f64 i i) beta) |
(+ (/ (* alpha i) beta) (/ (pow i 2) beta)) |
(fma.f64 alpha (/.f64 i beta) (/.f64 (*.f64 i i) beta)) |
(+ (/ (* alpha i) beta) (/ (pow i 2) beta)) |
(fma.f64 alpha (/.f64 i beta) (/.f64 (*.f64 i i) beta)) |
(+ (/ (* alpha i) beta) (/ (pow i 2) beta)) |
(fma.f64 alpha (/.f64 i beta) (/.f64 (*.f64 i i) beta)) |
(/ i beta) |
(/.f64 i beta) |
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(+.f64 (/.f64 i beta) (/.f64 alpha beta)) |
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(+.f64 (/.f64 i beta) (/.f64 alpha beta)) |
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(+.f64 (/.f64 i beta) (/.f64 alpha beta)) |
(/ (pow i 2) (pow beta 2)) |
(/.f64 (*.f64 i i) (*.f64 beta beta)) |
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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
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(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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i |
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(- (pow (+ beta (* 2 i)) 2) 1) |
(-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(- (+ (* alpha (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1) |
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(- (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) 1) |
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(- (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) 1) |
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(+ (* alpha (- (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 4 beta) (* 8 i)))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))))) (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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#s(literal 1 binary64)))) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)) |
(/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) |
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))))) alpha (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 beta) beta) i)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) beta) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i)) |
(+ (* 1/4 (* alpha i)) (* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 beta) beta) i))))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) beta) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i) (*.f64 #s(literal 1/4 binary64) (*.f64 alpha i))) |
(+ (* 1/4 (* alpha i)) (* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 beta) beta) i))))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) beta) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i) (*.f64 #s(literal 1/4 binary64) (*.f64 alpha i))) |
(+ (* 1/4 (* alpha i)) (* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 beta) beta) i))))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) beta) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i) (*.f64 #s(literal 1/4 binary64) (*.f64 alpha i))) |
(/ (* i (pow (+ beta i) 2)) (+ beta (* 2 i))) |
(/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) i) (fma.f64 #s(literal 2 binary64) i beta)) |
(+ (* alpha (- (+ (/ (* i (+ beta i)) (+ beta (* 2 i))) (/ (pow (+ beta i) 2) (+ beta (* 2 i)))) (/ (* i (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (pow (+ beta i) 2)) (+ beta (* 2 i)))) |
(fma.f64 (-.f64 (fma.f64 i (/.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) i) (fma.f64 #s(literal 2 binary64) i beta))) |
(+ (* alpha (- (+ (* alpha (- (+ (/ beta (+ beta (* 2 i))) (+ (/ i (+ beta (* 2 i))) (/ (* i (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 3)))) (+ (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (/ (pow (+ beta i) 2) (pow (+ beta (* 2 i)) 2))))) (+ (/ (* i (+ beta i)) (+ beta (* 2 i))) (/ (pow (+ beta i) 2) (+ beta (* 2 i))))) (/ (* i (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (pow (+ beta i) 2)) (+ beta (* 2 i)))) |
(fma.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 i (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 3 binary64))) (/.f64 i (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 i (/.f64 (+.f64 beta i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))) alpha (-.f64 (fma.f64 i (/.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) i) (fma.f64 #s(literal 2 binary64) i beta))) |
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (+ (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 3)) (/ (pow (+ beta i) 2) (pow (+ beta (* 2 i)) 3))) (+ (/ beta (pow (+ beta (* 2 i)) 2)) (+ (/ i (pow (+ beta (* 2 i)) 2)) (/ (* i (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4)))))) (+ (/ beta (+ beta (* 2 i))) (+ (/ i (+ beta (* 2 i))) (/ (* i (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 3))))) (+ (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (/ (pow (+ beta i) 2) (pow (+ beta (* 2 i)) 2))))) (+ (/ (* i (+ beta i)) (+ beta (* 2 i))) (/ (pow (+ beta i) 2) (+ beta (* 2 i))))) (/ (* i (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (pow (+ beta i) 2)) (+ beta (* 2 i)))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 i (/.f64 (+.f64 beta i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 3 binary64))) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 3 binary64)))) (+.f64 (fma.f64 i (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))) (/.f64 i (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (/.f64 beta (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))) alpha (-.f64 (+.f64 (fma.f64 i (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 3 binary64))) (/.f64 i (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 beta (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 i (/.f64 (+.f64 beta i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))))) alpha (-.f64 (fma.f64 i (/.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) i) (fma.f64 #s(literal 2 binary64) i beta))) |
(/ i (+ beta (* 2 i))) |
(/.f64 i (fma.f64 #s(literal 2 binary64) i beta)) |
(+ (* -1 (/ (* alpha i) (pow (+ beta (* 2 i)) 2))) (/ i (+ beta (* 2 i)))) |
(fma.f64 (*.f64 alpha (/.f64 i (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) #s(literal -1 binary64) (/.f64 i (fma.f64 #s(literal 2 binary64) i beta))) |
(+ (* alpha (- (/ (* alpha i) (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 2)))) (/ i (+ beta (* 2 i)))) |
(fma.f64 (-.f64 (*.f64 alpha (/.f64 i (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 3 binary64)))) (/.f64 i (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) alpha (/.f64 i (fma.f64 #s(literal 2 binary64) i beta))) |
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha i) (pow (+ beta (* 2 i)) 4))) (* -1 (/ i (pow (+ beta (* 2 i)) 3))))) (/ i (pow (+ beta (* 2 i)) 2)))) (/ i (+ beta (* 2 i)))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (-.f64 (*.f64 alpha (/.f64 i (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) (/.f64 i (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 3 binary64))))) alpha (neg.f64 (/.f64 i (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))) alpha (/.f64 i (fma.f64 #s(literal 2 binary64) i beta))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/.f64 (*.f64 (+.f64 beta i) i) (*.f64 alpha alpha)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/.f64 (-.f64 (fma.f64 (+.f64 beta i) i (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) alpha)) (/.f64 (*.f64 (*.f64 (+.f64 beta i) i) (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta))) alpha)) (*.f64 alpha alpha)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
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(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
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alpha |
(* alpha (- (+ 1 (* 2 (/ beta alpha))) (/ beta alpha))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) beta) alpha)) alpha) |
(* alpha (- (+ 1 (* 2 (/ beta alpha))) (/ beta alpha))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) beta) alpha)) alpha) |
(* alpha (- (+ 1 (* 2 (/ beta alpha))) (/ beta alpha))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) beta) alpha)) alpha) |
(/ (* i (+ beta i)) alpha) |
(/.f64 (*.f64 (+.f64 beta i) i) alpha) |
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(/ (- (+ (* -1 (/ (+ (* i (* (+ 1 (+ beta (* 2 i))) (* (+ beta i) (pow (+ beta (* 2 i)) 2)))) (+ (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (+ beta i)))))))) (* (+ (* (+ 1 (+ beta (* 2 i))) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (+ beta i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (+ beta i))) alpha) (+ (/ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)))) (pow alpha 2)) (/ (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (+ beta i))))) (pow alpha 2))))) alpha) |
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(* i (+ beta i)) |
(*.f64 (+.f64 beta i) i) |
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(/ (* i (+ beta i)) (pow alpha 2)) |
(/.f64 (*.f64 (+.f64 beta i) i) (*.f64 alpha alpha)) |
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(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
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(*.f64 (+.f64 (/.f64 i alpha) #s(literal 1 binary64)) alpha) |
(* alpha (+ 1 (/ i alpha))) |
(*.f64 (+.f64 (/.f64 i alpha) #s(literal 1 binary64)) alpha) |
(* alpha (+ 1 (/ i alpha))) |
(*.f64 (+.f64 (/.f64 i alpha) #s(literal 1 binary64)) alpha) |
(pow alpha 2) |
(*.f64 alpha alpha) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (*.f64 (/.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2)))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (*.f64 alpha alpha)))) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) (*.f64 alpha alpha)) |
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2)))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) #s(literal 1 binary64)) (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (*.f64 alpha alpha)))) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) (*.f64 alpha alpha)) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 i alpha) #s(literal 2 binary64) (/.f64 beta alpha)) #s(literal 1 binary64)) alpha) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 i alpha) #s(literal 2 binary64) (/.f64 beta alpha)) #s(literal 1 binary64)) alpha) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 i alpha) #s(literal 2 binary64) (/.f64 beta alpha)) #s(literal 1 binary64)) alpha) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/.f64 (*.f64 (+.f64 beta i) i) (*.f64 alpha alpha)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/.f64 (-.f64 (fma.f64 (+.f64 beta i) i (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) alpha)) (/.f64 (*.f64 (*.f64 (+.f64 beta i) i) (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta))) alpha)) (*.f64 alpha alpha)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/.f64 (-.f64 (fma.f64 (+.f64 beta i) i (fma.f64 i (/.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) alpha) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (*.f64 alpha alpha)))) (fma.f64 i (/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta)) (+.f64 beta i)) alpha) (fma.f64 i (/.f64 (*.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 beta i)) (*.f64 alpha alpha)) (/.f64 (*.f64 (*.f64 i (-.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta)) (+.f64 beta i)))) (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta))) (*.f64 alpha alpha))))) (*.f64 alpha alpha)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (+.f64 beta i)) i (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (fma.f64 (*.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 beta i)) i (*.f64 (*.f64 i (-.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta)) (+.f64 beta i)))) (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta))))) (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta)) (*.f64 (*.f64 i (-.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta)) (+.f64 beta i)))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64))))) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (fma.f64 (+.f64 beta i) i (fma.f64 i (/.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) alpha) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (*.f64 alpha alpha)))) (fma.f64 i (/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta)) (+.f64 beta i)) alpha) (fma.f64 i (/.f64 (*.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (+.f64 beta i)) (*.f64 alpha alpha)) (/.f64 (*.f64 (*.f64 i (-.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta)) (+.f64 beta i)))) (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta))) (*.f64 alpha alpha)))))) (*.f64 alpha alpha)) |
(* i (+ beta i)) |
(*.f64 (+.f64 beta i) i) |
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha)) |
(-.f64 (fma.f64 (+.f64 beta i) i (/.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) alpha)) (/.f64 (*.f64 (*.f64 (+.f64 beta i) i) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64)))) alpha)) |
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(-.f64 (fma.f64 (+.f64 beta i) i (fma.f64 i (/.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) alpha) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (*.f64 alpha alpha)))) (fma.f64 i (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 beta i)) alpha) (fma.f64 i (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (+.f64 beta i)) (*.f64 alpha alpha)) (/.f64 (*.f64 (*.f64 i (-.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 beta i)))) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64)))) (*.f64 alpha alpha))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (fma.f64 (*.f64 i (-.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 beta i)))) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (*.f64 i (-.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 beta i)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1 binary64) (-.f64 (fma.f64 (+.f64 beta i) i (fma.f64 i (/.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) alpha) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (*.f64 alpha alpha)))) (fma.f64 i (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 beta i)) alpha) (fma.f64 i (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (+.f64 beta i)) (*.f64 alpha alpha)) (/.f64 (*.f64 (*.f64 i (-.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (+.f64 beta i)))) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64)))) (*.f64 alpha alpha)))))) |
(* 1/4 (* alpha i)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 alpha i)) |
(* alpha (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha))) |
(*.f64 (fma.f64 (*.f64 i i) (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) beta) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) alpha) (*.f64 #s(literal 1/4 binary64) i)) alpha) |
(* alpha (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha))) |
(*.f64 (fma.f64 (*.f64 i i) (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) beta) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) alpha) (*.f64 #s(literal 1/4 binary64) i)) alpha) |
(* alpha (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha))) |
(*.f64 (fma.f64 (*.f64 i i) (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) beta) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) alpha) (*.f64 #s(literal 1/4 binary64) i)) alpha) |
(* alpha (+ beta i)) |
(*.f64 (+.f64 beta i) alpha) |
(* alpha (- (+ beta (+ i (+ (/ (* i (+ beta i)) alpha) (/ (pow (+ beta i) 2) alpha)))) (/ (* (+ beta i) (+ beta (* 2 i))) alpha))) |
(*.f64 (-.f64 (+.f64 (+.f64 beta i) (fma.f64 i (/.f64 (+.f64 beta i) alpha) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) alpha))) (*.f64 (+.f64 beta i) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha))) alpha) |
(* alpha (- (+ beta (+ i (+ (/ (* i (+ beta i)) alpha) (+ (/ (* i (pow (+ beta i) 2)) (pow alpha 2)) (/ (pow (+ beta i) 2) alpha))))) (+ (/ (* (+ beta i) (+ beta (* 2 i))) alpha) (/ (* (+ beta (* 2 i)) (- (+ (* i (+ beta i)) (pow (+ beta i) 2)) (* (+ beta i) (+ beta (* 2 i))))) (pow alpha 2))))) |
(*.f64 (-.f64 (+.f64 (+.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) (fma.f64 i (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) alpha))) i) beta) (fma.f64 (+.f64 beta i) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (/.f64 (*.f64 (-.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 alpha alpha)))) alpha) |
(* alpha (- (+ beta (+ i (+ (* -1 (/ (* (+ beta (* 2 i)) (- (* i (pow (+ beta i) 2)) (* (+ beta (* 2 i)) (- (+ (* i (+ beta i)) (pow (+ beta i) 2)) (* (+ beta i) (+ beta (* 2 i))))))) (pow alpha 3))) (+ (/ (* i (+ beta i)) alpha) (+ (/ (* i (pow (+ beta i) 2)) (pow alpha 2)) (/ (pow (+ beta i) 2) alpha)))))) (+ (/ (* (+ beta i) (+ beta (* 2 i))) alpha) (/ (* (+ beta (* 2 i)) (- (+ (* i (+ beta i)) (pow (+ beta i) 2)) (* (+ beta i) (+ beta (* 2 i))))) (pow alpha 2))))) |
(*.f64 (-.f64 (+.f64 (+.f64 beta i) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) i) (*.f64 (-.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 #s(literal 2 binary64) i beta)) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 i (/.f64 (+.f64 beta i) alpha) (fma.f64 i (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 alpha alpha)) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) alpha))))) (fma.f64 (+.f64 beta i) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (/.f64 (*.f64 (-.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 alpha alpha)))) alpha) |
(/ i alpha) |
(/.f64 i alpha) |
(/ (+ i (* -1 (/ (* i (+ beta (* 2 i))) alpha))) alpha) |
(/.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) i) alpha) #s(literal -1 binary64) i) alpha) |
(/ (- (+ i (/ (* i (pow (+ beta (* 2 i)) 2)) (pow alpha 2))) (/ (* i (+ beta (* 2 i))) alpha)) alpha) |
(/.f64 (-.f64 (fma.f64 i (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (*.f64 alpha alpha)) i) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) i) alpha)) alpha) |
(/ (- (+ i (* -1 (/ (* i (pow (+ beta (* 2 i)) 3)) (pow alpha 3)))) (+ (* -1 (/ (* i (pow (+ beta (* 2 i)) 2)) (pow alpha 2))) (/ (* i (+ beta (* 2 i))) alpha))) alpha) |
(/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 3 binary64)) i) (pow.f64 alpha #s(literal 3 binary64))) #s(literal -1 binary64) i) (fma.f64 i (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (neg.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) i) (*.f64 alpha alpha))))) alpha) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/.f64 (*.f64 (neg.f64 i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) i (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i) (*.f64 (neg.f64 i) (*.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) #s(literal 1 binary64)) #s(literal -1 binary64) (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))) (* (+ 1 (+ beta (* 2 i))) (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (+ (/ (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))))))) alpha) (/ (* (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))) alpha)))) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
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alpha |
(* -1 (* alpha (- (* -1 (/ (- (* 2 beta) beta) alpha)) 1))) |
(*.f64 (neg.f64 alpha) (fma.f64 (/.f64 (-.f64 (*.f64 beta #s(literal 2 binary64)) beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64))) |
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(* -1 (* alpha (- (* -1 (/ (- (* 2 beta) beta) alpha)) 1))) |
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(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) alpha)) |
(/.f64 (*.f64 (neg.f64 i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))) alpha) |
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(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (/ (- (* -1 (* (pow i 2) (pow (+ beta i) 2))) (+ (* -1 (* i (* (+ (* -2 (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* -1 (pow (+ beta (* 2 i)) 2))) (+ (* -1 beta) (* -1 i))))) (* -1 (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (+ (* -1 beta) (* -1 i)))))))))) alpha))) (* -1 (* i (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i)))) alpha)) |
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(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (pow (+ beta i) 2))) (+ (* -1 (/ (* i (* (+ 1 (+ beta (* 2 i))) (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))) alpha)) (+ (* -1 (/ (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (- (* -1 (* (pow i 2) (pow (+ beta i) 2))) (+ (* -1 (* i (* (+ (* -2 (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* -1 (pow (+ beta (* 2 i)) 2))) (+ (* -1 beta) (* -1 i))))) (* -1 (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (+ (* -1 beta) (* -1 i))))))))))) alpha)) (* -1 (/ (* (+ (* -2 (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* -1 (pow (+ beta (* 2 i)) 2))) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (+ (* -1 beta) (* -1 i))))))) alpha))))) (+ (* -1 (* i (* (+ (* -2 (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* -1 (pow (+ beta (* 2 i)) 2))) (+ (* -1 beta) (* -1 i))))) (* -1 (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (+ (* -1 beta) (* -1 i)))))))))) alpha))) (* -1 (* i (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i)))) alpha)) |
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(* -1 (* i (+ (* -1 beta) (* -1 i)))) |
(*.f64 (neg.f64 i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))) |
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(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) i (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))))) alpha) #s(literal -1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
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(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/.f64 (*.f64 (neg.f64 i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) i (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) i (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (fma.f64 (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha) #s(literal -1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
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(/ (* alpha i) (pow beta 2)) |
(*.f64 alpha (/.f64 i (*.f64 beta beta))) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
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(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(*.f64 (neg.f64 alpha) (fma.f64 (/.f64 (/.f64 (*.f64 i i) alpha) (*.f64 beta beta)) #s(literal -1 binary64) (/.f64 (neg.f64 i) (*.f64 beta beta)))) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(*.f64 (neg.f64 alpha) (fma.f64 (/.f64 (/.f64 (*.f64 i i) alpha) (*.f64 beta beta)) #s(literal -1 binary64) (/.f64 (neg.f64 i) (*.f64 beta beta)))) |
(/ (* alpha i) (pow beta 2)) |
(*.f64 alpha (/.f64 i (*.f64 beta beta))) |
(/ (* alpha i) (pow beta 2)) |
(*.f64 alpha (/.f64 i (*.f64 beta beta))) |
(/ (* alpha i) (pow beta 2)) |
(*.f64 alpha (/.f64 i (*.f64 beta beta))) |
(/ (* alpha i) (pow beta 2)) |
(*.f64 alpha (/.f64 i (*.f64 beta beta))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/.f64 (*.f64 (neg.f64 i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) i (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) i (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (fma.f64 (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha) #s(literal -1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
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(/ (* alpha i) (pow beta 2)) |
(*.f64 alpha (/.f64 i (*.f64 beta beta))) |
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alpha |
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
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(* -1 (* i (+ (* -1 beta) (* -1 i)))) |
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(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) i (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))))) alpha) #s(literal -1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
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(* 1/4 (* alpha i)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 alpha i)) |
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)) (* -1/4 i)))) |
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(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)) (* -1/4 i)))) |
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(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)) (* -1/4 i)))) |
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(* -1 (* alpha (+ (* -1 beta) (* -1 i)))) |
(*.f64 (neg.f64 alpha) (*.f64 #s(literal -1 binary64) (+.f64 beta i))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (* -1 (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)))))) |
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(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (/ (- (* -1 (* i (pow (+ beta i) 2))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) alpha))) (* -1 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)))))) |
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(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (/ (- (+ (* -1 (* i (pow (+ beta i) 2))) (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (* i (pow (+ beta i) 2))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))))) alpha))) (* -1 (* (+ beta (* 2 i)) (- (* -1 (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) alpha))) (* -1 (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)))))) |
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(/ i alpha) |
(/.f64 i alpha) |
(* -1 (/ (+ (* -1 i) (/ (* i (+ beta (* 2 i))) alpha)) alpha)) |
(neg.f64 (/.f64 (fma.f64 i (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (neg.f64 i)) alpha)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (/ (* i (pow (+ beta (* 2 i)) 2)) alpha) (* i (+ beta (* 2 i)))) alpha))) alpha)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) i) alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) i)) alpha) #s(literal -1 binary64) (neg.f64 i)) alpha)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* -1 (/ (- (/ (* i (pow (+ beta (* 2 i)) 3)) alpha) (* i (pow (+ beta (* 2 i)) 2))) alpha)) (* i (+ beta (* 2 i)))) alpha))) alpha)) |
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(/ (* alpha (* beta i)) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1)))) |
(/.f64 (*.f64 (*.f64 beta alpha) i) (*.f64 (*.f64 (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)) (+.f64 beta alpha)) (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)))) |
(* i (+ (* i (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1)))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (* 2 (/ beta (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))) (+ (/ (* alpha (* beta (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))))) (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1)))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (+ (* 2 (/ beta (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (* i (- (/ 1 (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))) (+ (/ (* alpha (* beta (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))) (+ (/ (* (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (- (+ (* 2 (/ alpha (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (* 2 (/ beta (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))) (+ (/ (* alpha (* beta (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))))) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))) (/ (* (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))))))) (+ (/ (* alpha (* beta (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))))) (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1)))))) |
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(/ (* alpha (* beta i)) (* (+ 1 (+ alpha beta)) (+ alpha beta))) |
(/.f64 (*.f64 (*.f64 beta alpha) i) (*.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) (+.f64 beta alpha))) |
(* i (+ (* i (- (+ (/ 1 (+ 1 (+ alpha beta))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3))))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (+ alpha beta))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))) (* 2 (/ beta (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2))))) (+ (/ (* alpha (* beta (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3))) (/ (* (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (- (+ (/ 1 (+ 1 (+ alpha beta))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3))))) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))))) (+ (/ 1 (+ 1 (+ alpha beta))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2))))) (/ (* alpha (* beta (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3))))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (+ alpha beta))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))) (+ (* 2 (/ beta (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))) (* i (- (/ 1 (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2))) (+ (* 8 (/ (* alpha beta) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3)))) (+ (/ (* (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (- (+ (* 2 (/ alpha (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))) (* 2 (/ beta (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2))))) (+ (/ (* alpha (* beta (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3))) (/ (* (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (- (+ (/ 1 (+ 1 (+ alpha beta))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3))))) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))))) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2))) (/ (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (+ (/ 1 (+ 1 (+ alpha beta))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3))))) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2))))))))) (+ (/ (* alpha (* beta (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3))) (/ (* (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (- (+ (/ 1 (+ 1 (+ alpha beta))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3))))) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))))) (+ (/ 1 (+ 1 (+ alpha beta))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2))))) (/ (* alpha (* beta (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3))))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (+ alpha beta))))) |
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(/ (* alpha (* beta i)) (+ alpha beta)) |
(/.f64 (*.f64 (*.f64 beta alpha) i) (+.f64 beta alpha)) |
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (*.f64 alpha (/.f64 beta (+.f64 beta alpha)))) i) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
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(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(*.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) (*.f64 #s(literal 4 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 beta alpha))))) (+.f64 beta alpha))))) i)) (*.f64 #s(literal 4 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 beta alpha))))) i (*.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (*.f64 alpha (/.f64 beta (+.f64 beta alpha)))) i) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(/.f64 (/.f64 (*.f64 (*.f64 beta alpha) i) (+.f64 beta alpha)) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
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(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
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(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* i (+ (/ alpha beta) (/ i beta))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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#s(literal 20 binary64))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) alpha) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) 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beta) alpha) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))) i (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 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(/ alpha beta) |
(/.f64 alpha beta) |
(+ (/ alpha beta) (/ i beta)) |
(+.f64 (/.f64 i beta) (/.f64 alpha beta)) |
(+ (/ alpha beta) (/ i beta)) |
(+.f64 (/.f64 i beta) (/.f64 alpha beta)) |
(+ (/ alpha beta) (/ i beta)) |
(+.f64 (/.f64 i beta) (/.f64 alpha beta)) |
alpha |
(+ alpha i) |
(+.f64 alpha i) |
(+ alpha i) |
(+.f64 alpha i) |
(+ alpha i) |
(+.f64 alpha i) |
(- (pow (+ alpha beta) 2) 1) |
(-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(- (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) 1) |
(fma.f64 (*.f64 (+.f64 beta alpha) i) #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1) |
(fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 i (+.f64 beta alpha))) i (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1) |
(fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 i (+.f64 beta alpha))) i (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(+ alpha beta) |
(+.f64 beta alpha) |
(+ alpha (+ beta (* 2 i))) |
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) |
(+ alpha (+ beta (* 2 i))) |
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) |
(+ alpha (+ beta (* 2 i))) |
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(/.f64 (/.f64 (*.f64 (*.f64 beta alpha) i) (+.f64 beta alpha)) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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beta) alpha) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))) i (-.f64 (fma.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 beta (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 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(/ (* alpha (* beta i)) (+ alpha beta)) |
(/.f64 (*.f64 (*.f64 beta alpha) i) (+.f64 beta alpha)) |
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
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(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
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(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
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(* 1/4 (* i (- (* 2 (+ alpha beta)) (+ alpha beta)))) |
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(* alpha beta) |
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(+ (* alpha beta) (* i (- (+ alpha (+ beta (+ (* i (- (+ (* 2 (/ alpha (+ alpha beta))) (+ (* 2 (/ beta (+ alpha beta))) (* i (- (/ 1 (+ alpha beta)) (* 2 (/ (- (+ (* 2 (/ alpha (+ alpha beta))) (* 2 (/ beta (+ alpha beta)))) (* 2 (/ (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))) (+ alpha beta)))) (+ alpha beta))))))) (* 2 (/ (- (+ alpha (+ beta (/ (* alpha beta) (+ alpha beta)))) (* 2 (/ (* alpha beta) (+ alpha beta)))) (+ alpha beta))))) (/ (* alpha beta) (+ alpha beta))))) (* 2 (/ (* alpha beta) (+ alpha beta)))))) |
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(/.f64 i (+.f64 beta alpha)) |
(* i (+ (* -2 (/ i (pow (+ alpha beta) 2))) (/ 1 (+ alpha beta)))) |
(*.f64 (fma.f64 (/.f64 i (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 beta alpha))) i) |
(* i (+ (* i (- (* 4 (/ i (pow (+ alpha beta) 3))) (* 2 (/ 1 (pow (+ alpha beta) 2))))) (/ 1 (+ alpha beta)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) #s(literal 4 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (/.f64 #s(literal 1 binary64) (+.f64 beta alpha))) i) |
(* i (+ (* i (- (* i (+ (* -8 (/ i (pow (+ alpha beta) 4))) (* 4 (/ 1 (pow (+ alpha beta) 3))))) (* 2 (/ 1 (pow (+ alpha beta) 2))))) (/ 1 (+ alpha beta)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 i (pow.f64 (+.f64 beta alpha) #s(literal 4 binary64))) #s(literal -8 binary64) (/.f64 #s(literal 4 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) i) (/.f64 #s(literal 2 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (/.f64 #s(literal 1 binary64) (+.f64 beta alpha))) i) |
1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/256 (/ (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) i))) |
(-.f64 (fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64))) #s(literal 2 binary64) (*.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 8 binary64))) i) #s(literal 1/256 binary64))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (pow i 2))) (+ (* 1/256 (/ (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) i)) (* 1/16 (/ (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))) (pow i 2)))))) |
(-.f64 (fma.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (*.f64 i i))) #s(literal 1/16 binary64)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 beta alpha) #s(literal 4 binary64)) (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (fma.f64 (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)))) (*.f64 i i)) #s(literal 1/256 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal -1/256 binary64) (fma.f64 (fma.f64 (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64))) #s(literal 2 binary64) (*.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 8 binary64))))) (fma.f64 (fma.f64 (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64))) #s(literal 2 binary64) (*.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 8 binary64)))) (*.f64 i i)) #s(literal 1/16 binary64) (*.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64))) #s(literal 2 binary64) (*.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 8 binary64))) i) #s(literal 1/256 binary64))))) |
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (pow i 3))) (+ (* 1/256 (/ (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (pow i 2))) (+ (* 1/256 (/ (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) i)) (+ (* 1/16 (/ (* (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))) (pow i 3))) (+ (* 1/16 (/ (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))) (pow i 2))) (* 1/16 (/ (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))) (* 1/16 (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))))))) (pow i 3))))))))) |
(-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta alpha) beta) alpha) (pow.f64 i #s(literal 3 binary64))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (*.f64 i i))))) #s(literal 1/16 binary64)) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 beta alpha) #s(literal 4 binary64)) (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 2 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) (*.f64 (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 2 binary64)) (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)))) (pow.f64 i #s(literal 3 binary64))) #s(literal 1/256 binary64) (fma.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 beta alpha) #s(literal 4 binary64)) (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (fma.f64 (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)))) (*.f64 i i)) #s(literal 1/256 binary64) (fma.f64 (/.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64))) #s(literal 2 binary64) (*.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 8 binary64))) i) #s(literal 1/256 binary64) (fma.f64 (*.f64 (fma.f64 (fma.f64 (*.f64 (+.f64 beta alpha) #s(literal 4 binary64)) (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (fma.f64 (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)))) (/.f64 (fma.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal -1/256 binary64) (fma.f64 (fma.f64 (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64))) #s(literal 2 binary64) (*.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 8 binary64))))) (pow.f64 i #s(literal 3 binary64)))) #s(literal 1/16 binary64) (*.f64 #s(literal 1/16 binary64) (fma.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64))) #s(literal 2 binary64) (*.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 8 binary64))) (/.f64 (fma.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal -1/256 binary64) (fma.f64 (fma.f64 (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64))) #s(literal 2 binary64) (*.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 8 binary64))))) (*.f64 i i)) (*.f64 (fma.f64 (fma.f64 (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64))) #s(literal 2 binary64) (*.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 8 binary64))) (/.f64 (-.f64 (*.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 (*.f64 (+.f64 beta alpha) #s(literal 4 binary64)) (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (fma.f64 (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64))) (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (fma.f64 (fma.f64 (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64))) #s(literal 2 binary64) (*.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 8 binary64)))) (fma.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal -1/256 binary64) (fma.f64 (fma.f64 (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64))) #s(literal 2 binary64) (*.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 8 binary64)))))))) (pow.f64 i #s(literal 3 binary64))))))))))) |
(* 1/8 i) |
(*.f64 #s(literal 1/8 binary64) i) |
(* i (- (+ 1/8 (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/64 (/ (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) i)))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal 1/8 binary64)) (*.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64))) i) #s(literal 1/64 binary64))) i) |
(* i (- (+ 1/8 (+ (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/8 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/64 (/ (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) i)) (* 1/8 (/ (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))) (pow i 2))))))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (*.f64 i i))) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (fma.f64 (*.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64)) (+.f64 beta alpha) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 i i)) #s(literal 1/64 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 #s(literal -1/64 binary64) (fma.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64))))) (fma.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64)))) (*.f64 i i)) #s(literal 1/8 binary64) (*.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64))) i) #s(literal 1/64 binary64))))) i) |
(* i (- (+ 1/8 (+ (* 1/8 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/8 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/64 (/ (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)) (pow i 3))) (+ (* 1/64 (/ (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) i)) (+ (* 1/8 (/ (* (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))) (pow i 3))) (+ (* 1/8 (/ (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))) (pow i 2))) (* 1/8 (/ (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/64 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta))))) (* 1/8 (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))))))) (pow i 3)))))))))) |
(*.f64 (-.f64 (+.f64 (fma.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (*.f64 i i))) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (+.f64 beta alpha) beta) alpha)) (pow.f64 i #s(literal 3 binary64)))) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (+.f64 (+.f64 beta alpha) #s(literal 1 binary64))) (pow.f64 i #s(literal 3 binary64))) #s(literal 1/64 binary64) (fma.f64 (/.f64 (fma.f64 (*.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64)) (+.f64 beta alpha) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 2 binary64))) (*.f64 i i)) #s(literal 1/64 binary64) (fma.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64))) i) #s(literal 1/64 binary64) (fma.f64 (*.f64 (fma.f64 (*.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64)) (+.f64 beta alpha) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 #s(literal -1/64 binary64) (fma.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64))))) (pow.f64 i #s(literal 3 binary64)))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (fma.f64 (fma.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 #s(literal -1/64 binary64) (fma.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64))))) (*.f64 i i)) (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64))) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64)))) (fma.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 #s(literal -1/64 binary64) (fma.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64))))) (*.f64 #s(literal 1/64 binary64) (fma.f64 (*.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64)) (+.f64 beta alpha) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 2 binary64)))))) (pow.f64 i #s(literal 3 binary64))))))))))) i) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/4 binary64))) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (*.f64 i i))) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i)) #s(literal 1/16 binary64) (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (-.f64 (-.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) alpha) beta) #s(literal 1/4 binary64)) (+.f64 beta alpha)) (*.f64 i i))))) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta alpha) beta) alpha) (pow.f64 i #s(literal 3 binary64))) #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (*.f64 i i))))) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i)) #s(literal 1/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (-.f64 (-.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) alpha) beta) #s(literal 1/4 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (pow.f64 i #s(literal 3 binary64))) #s(literal 1/4 binary64) (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/4 binary64) (fma.f64 (+.f64 beta alpha) (/.f64 (-.f64 (*.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1/4 binary64)) (fma.f64 (*.f64 (-.f64 (-.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) alpha) beta) #s(literal 1/4 binary64)) (+.f64 beta alpha) (*.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) (pow.f64 i #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (-.f64 (-.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) alpha) beta) #s(literal 1/4 binary64)) (+.f64 beta alpha)) (*.f64 i i))))))) (*.f64 i i)) |
1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(-.f64 (fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) |
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#s(literal 1/16 binary64) |
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(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
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(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
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(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))) |
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(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
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(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
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(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
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(/ beta i) |
(/.f64 beta i) |
(/ beta i) |
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(/.f64 beta i) |
(/ beta i) |
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(* 1/2 (pow i 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/2 (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
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(* (pow i 2) (- (+ 1/2 (+ (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/2 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
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(* (pow i 2) (- (+ 1/2 (+ (* 1/2 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/2 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/2 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2))) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ (* alpha beta) (pow (+ alpha beta) 2))) (* 1/2 (* (+ alpha beta) (- (* 1/2 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3))))))) |
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1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (/ (+ alpha beta) i))) |
(fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(- (+ 1/2 (* 1/8 (/ (pow (+ alpha beta) 2) (pow i 2)))) (* 1/4 (/ (+ alpha beta) i))) |
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(- (+ 1/2 (* -1/16 (/ (pow (+ alpha beta) 3) (pow i 3)))) (+ (* -1/8 (/ (pow (+ alpha beta) 2) (pow i 2))) (* 1/4 (/ (+ alpha beta) i)))) |
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1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* -1/256 (/ (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) i))) |
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(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1/256 (/ (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) i)) (* 1/16 (/ (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) i)))) i))) |
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(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/256 (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))) (* 1/16 (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1/256 (/ (+ (* -2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2))))) i)) (+ (* 1/16 (/ (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/256 (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))) (* 1/16 (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))))))) i)) (* 1/16 (/ (* (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) i))))) i))) i))) |
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(* 1/8 i) |
(*.f64 #s(literal 1/8 binary64) i) |
(* -1 (* i (- (* -1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (+ 1/8 (* -1/64 (/ (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) i)))))) |
(*.f64 (neg.f64 i) (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i)) (fma.f64 #s(literal -1/64 binary64) (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) #s(literal 8 binary64))) i) #s(literal 1/8 binary64)))) |
(* -1 (* i (- (* -1 (/ (- (+ (* -1 (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))) (* -1/8 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1/8 (/ (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))) i)) (* -1/64 (/ (+ (* -4 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* -2 (pow (+ alpha beta) 2))) i)))) i)) 1/8))) |
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(* -1 (* i (- (* -1 (/ (+ (* -1 (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))) (* -1 (/ (- (+ (* -1 (- (* -1/8 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/8 (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))))))) (* -1/64 (+ (* -4 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* -2 (pow (+ alpha beta) 2))))))) (* -1/8 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1/8 (/ (* (+ (* -4 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* -2 (pow (+ alpha beta) 2))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))) i)) (+ (* -1/8 (/ (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/8 (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))))))) (* -1/64 (+ (* -4 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* -2 (pow (+ alpha beta) 2))))))) i)) (* -1/64 (/ (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)) i))))) i))) i)) 1/8))) |
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(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/4 binary64))) (*.f64 i i)) |
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i)))) |
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(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i)))) |
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1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(-.f64 (fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) |
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(*.f64 (neg.f64 i) (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal -1 binary64) #s(literal -2 binary64))) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(*.f64 (neg.f64 i) (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal -1 binary64) #s(literal -2 binary64))) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(*.f64 (neg.f64 i) (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal -1 binary64) #s(literal -2 binary64))) |
1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(-.f64 (fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i) #s(literal 1/16 binary64) (neg.f64 (fma.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))))) (fma.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))) i) #s(literal -1/256 binary64) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (fma.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))) i))) i) #s(literal -1 binary64) #s(literal 1/16 binary64)) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta alpha) beta) alpha) i) #s(literal 1/16 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (fma.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (*.f64 #s(literal -1/256 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64)))))))) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (fma.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (*.f64 #s(literal -1/256 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64)))))) (+.f64 beta alpha)) i) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64)))) i) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 #s(literal -4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) i) #s(literal -1/256 binary64))))) i) #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/16 binary64) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))))) i) #s(literal -1 binary64) #s(literal 1/16 binary64)) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/4 binary64))) (*.f64 i i)) |
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i) #s(literal 1/4 binary64) (neg.f64 (*.f64 (-.f64 (-.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) alpha) beta) #s(literal 1/4 binary64)))) (fma.f64 (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal -1/16 binary64) (/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 (-.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) alpha) beta) #s(literal 1/4 binary64)) (+.f64 beta alpha))) i))) i) #s(literal -1 binary64) #s(literal 1/4 binary64)) (*.f64 i i)) |
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (-.f64 (-.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) alpha) beta) #s(literal 1/4 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta alpha) beta) alpha) i) #s(literal 1/4 binary64) (neg.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/16 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (-.f64 (-.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) alpha) beta) #s(literal 1/4 binary64)) (+.f64 beta alpha))))))) (fma.f64 (/.f64 (*.f64 (*.f64 (-.f64 (-.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) alpha) beta) #s(literal 1/4 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal 1/4 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/16 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (-.f64 (-.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) alpha) beta) #s(literal 1/4 binary64)) (+.f64 beta alpha))))) (+.f64 beta alpha)) i)))) i))) i) #s(literal -1 binary64) #s(literal 1/4 binary64)) (*.f64 i i)) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) alpha) beta) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i)) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) alpha) beta) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i)) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) alpha) beta) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i)) |
(/ beta i) |
(/.f64 beta i) |
(/ beta i) |
(/.f64 beta i) |
(/ beta i) |
(/.f64 beta i) |
(/ beta i) |
(/.f64 beta i) |
(* 1/2 (pow i 2)) |
(*.f64 #s(literal 1/2 binary64) (*.f64 i i)) |
(* (pow i 2) (+ 1/2 (* -1 (/ (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta))) i)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 (+.f64 beta alpha) #s(literal 1/4 binary64))) i) #s(literal -1 binary64) #s(literal 1/2 binary64)) (*.f64 i i)) |
(* (pow i 2) (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta)))))) i)) (* -1/2 (+ (* 2 alpha) (* 2 beta)))) (* -1/4 (+ alpha beta))) i)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 (+.f64 beta alpha) #s(literal 1/4 binary64))) (+.f64 beta alpha)))) i) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 (+.f64 beta alpha) #s(literal 1/4 binary64)))) i) #s(literal -1 binary64) #s(literal 1/2 binary64)) (*.f64 i i)) |
(* (pow i 2) (+ 1/2 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* alpha (* beta (+ alpha beta)))) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta))))))))) i)) (* -1/2 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))))) (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ (* 2 alpha) (* 2 beta))) (* -1/4 (+ alpha beta)))))) i)) (* -1/2 (+ (* 2 alpha) (* 2 beta)))) (* -1/4 (+ alpha beta))) i)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (*.f64 (+.f64 beta alpha) beta) alpha) (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 (+.f64 beta alpha) #s(literal 1/4 binary64))) (+.f64 beta alpha)))) (+.f64 beta alpha)))) i) #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal -1 binary64) (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 (+.f64 beta alpha) #s(literal 1/4 binary64))) (+.f64 beta alpha))))) i) #s(literal -1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 (+.f64 beta alpha) #s(literal 1/4 binary64)))) i) #s(literal -1 binary64) #s(literal 1/2 binary64)) (*.f64 i i)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* -1/4 (/ (+ alpha beta) i))) |
(fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1 (/ (- (* -1/8 (/ (pow (+ alpha beta) 2) i)) (* -1/4 (+ alpha beta))) i))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal -1/8 binary64) (*.f64 (+.f64 beta alpha) #s(literal 1/4 binary64))) i) #s(literal -1 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* -1 (/ (- (* -1 (/ (- (* -1/16 (/ (pow (+ alpha beta) 3) i)) (* -1/8 (pow (+ alpha beta) 2))) i)) (* -1/4 (+ alpha beta))) i))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) i) #s(literal -1/16 binary64) (*.f64 #s(literal 1/8 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i) #s(literal -1 binary64) (*.f64 (+.f64 beta alpha) #s(literal 1/4 binary64))) i) #s(literal -1 binary64) #s(literal 1/2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 78 | 725 |
| 0 | 116 | 647 |
| 1 | 545 | 640 |
| 2 | 4965 | 640 |
| 0 | 8293 | 627 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) i))) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))) |
(fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) i))) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) i))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (/ (* (/ (+ alpha i) beta) i) beta) (*.f64 alpha (/.f64 i (*.f64 beta beta)))) |
(*.f64 alpha (/.f64 i (*.f64 beta beta))) |
(/.f64 i (*.f64 beta beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) i) beta)) |
(/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) i) beta) |
(*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) i) |
#s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) |
(/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i))) |
(/.f64 (+.f64 alpha i) beta) |
(+.f64 alpha i) |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(approx (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (*.f64 beta (+.f64 alpha i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(approx (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (*.f64 beta (+.f64 alpha i)))) |
#s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) i)) |
(/.f64 beta i) |
#s(approx (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (*.f64 beta (+.f64 alpha i))) |
(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
| Outputs |
|---|
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Compiled 78 604 to 4 969 computations (93.7% saved)
34 alts after pruning (29 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 420 | 15 | 1 435 |
| Fresh | 7 | 14 | 21 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 430 | 34 | 1 464 |
| Status | Accuracy | Program |
|---|---|---|
| 15.5% | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64))) | |
| 25.3% | (/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 alpha i) i)) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))) | |
| 33.0% | (/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 #s(approx (+ (* 2 (+ beta alpha)) (- (neg alpha) beta)) (-.f64 (*.f64 beta #s(literal 2 binary64)) beta)) i) #s(literal 1/4 binary64)) i))) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))) | |
| 22.7% | (/.f64 (*.f64 (/.f64 i (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (*.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 i beta) i)) (+.f64 (+.f64 i alpha) beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| 22.7% | (/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)))) | |
| 10.5% | (/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(approx (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (*.f64 beta (+.f64 alpha i)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) | |
| 32.5% | (/.f64 (neg.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) (+.f64 i (-.f64 (neg.f64 alpha) beta))))))) (*.f64 (fma.f64 i #s(literal 2 binary64) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))) | |
| 21.3% | (/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ 1 (+ (* i 2) (+ beta alpha)))) (/.f64 (*.f64 (+.f64 alpha i) i) beta)) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))) | |
| 75.3% | (/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ 1 (+ (* i 2) (+ beta alpha)))) (*.f64 #s(literal 1/8 binary64) i)) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))) | |
| 17.1% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 i alpha) i)) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| 31.4% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (-.f64 #s(approx (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (*.f64 (*.f64 i i) #s(literal 4 binary64))) #s(literal 1 binary64))) | |
| 3.1% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (*.f64 alpha alpha))) | |
| 32.5% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i #s(approx (+ (* (+ beta alpha) 2) (- (neg alpha) beta)) beta))) i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| 32.9% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 1 binary64))) #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) (+.f64 i (-.f64 (neg.f64 alpha) beta))))))) (fma.f64 i #s(literal 2 binary64) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))) | |
| 24.1% | (*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (+.f64 (+.f64 beta alpha) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)))) | |
| 12.2% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (fma.f64 (+.f64 i alpha) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 i alpha) (+.f64 i (+.f64 i alpha))) beta) (/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)) (+.f64 i alpha)) beta)))) (*.f64 beta beta))) | |
| 19.4% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (+.f64 i alpha) (*.f64 (/.f64 beta i) beta))) | |
| ✓ | 26.0% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)) |
| 9.9% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (*.f64 (+.f64 i alpha) (-.f64 alpha i)) i) (*.f64 (-.f64 alpha i) (*.f64 beta beta)))) | |
| 23.0% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta)) | |
| ✓ | 11.2% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) i) beta)) |
| 23.1% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 beta i))) | |
| 25.6% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (/ (+ alpha i) beta) (*.f64 (+.f64 (/.f64 i (*.f64 beta alpha)) (/.f64 #s(literal 1 binary64) beta)) alpha)) (/.f64 beta i))) | |
| 19.0% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* (/ (+ alpha i) beta) i) (/.f64 (*.f64 i i) beta)) beta)) | |
| 25.9% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 i alpha)) (/.f64 beta i)))) | |
| 80.7% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) | |
| 21.1% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (/.f64 (+.f64 i alpha) beta) beta) i)) | |
| 11.2% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 i beta) #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)))) | |
| ✓ | 14.7% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta)))) |
| 23.1% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))) | |
| 24.3% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (exp.f64 (*.f64 (log.f64 (/.f64 beta (*.f64 (/.f64 (+.f64 i alpha) beta) i))) #s(literal -1 binary64)))) | |
| 13.7% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 (*.f64 i i) (*.f64 beta beta)))) | |
| ✓ | 8.5% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
| ✓ | 75.9% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
Compiled 2 335 to 775 computations (66.8% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 (*.f64 i i) (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 beta beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 i alpha) i) (*.f64 beta beta))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (*.f64 alpha alpha))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 i beta) #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* (/ (+ alpha i) beta) i) (/.f64 (*.f64 i i) beta)) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) i) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta)) |
(/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ 1 (+ (* i 2) (+ beta alpha)))) (*.f64 #s(literal 1/8 binary64) i)) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 (/.f64 i beta) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (/.f64 (+.f64 i alpha) beta) beta) i)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (+.f64 i alpha) (*.f64 (/.f64 beta i) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (+.f64 i alpha) (/.f64 (*.f64 beta beta) i))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 beta i))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (-.f64 #s(approx (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (*.f64 (*.f64 i i) #s(literal 4 binary64))) #s(literal 1 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 alpha i) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta i)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (*.f64 (+.f64 i alpha) (-.f64 alpha i)) i) (*.f64 (-.f64 alpha i) (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 alpha i)) (/.f64 beta i)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 i alpha)) (/.f64 beta i)))) |
(/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ 1 (+ (* i 2) (+ beta alpha)))) (/.f64 (*.f64 (+.f64 alpha i) i) beta)) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 alpha i) i)) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 i alpha) i)) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i #s(approx (+ (* (+ beta alpha) 2) (- (neg alpha) beta)) beta))) i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 alpha i) i)) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (/ (+ alpha i) beta) (*.f64 (+.f64 (/.f64 i (*.f64 beta alpha)) (/.f64 #s(literal 1 binary64) beta)) alpha)) (/.f64 beta i))) |
(/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 #s(approx (+ (* 2 (+ beta alpha)) (- (neg alpha) beta)) (-.f64 (*.f64 beta #s(literal 2 binary64)) beta)) i) #s(literal 1/4 binary64)) i))) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)))) i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 alpha i) i)) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) (* 2 i)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(approx (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (*.f64 beta (+.f64 alpha i)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) (+.f64 i (-.f64 (neg.f64 alpha) beta))))))) (*.f64 (fma.f64 i #s(literal 2 binary64) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) i))) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(approx (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (*.f64 beta (+.f64 alpha i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 1 binary64))) #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) (+.f64 i (-.f64 (neg.f64 alpha) beta))))))) (fma.f64 i #s(literal 2 binary64) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (*.f64 i i) (fma.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)) (/.f64 #s(literal 1/4 binary64) i) #s(literal 1/4 binary64)))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (fma.f64 (+.f64 alpha i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (*.f64 beta beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (fma.f64 (+.f64 i alpha) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 i alpha) (+.f64 i (+.f64 i alpha))) beta) (/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)) (+.f64 i alpha)) beta)))) (*.f64 beta beta))) |
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (*.f64 #s(approx (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (*.f64 (+.f64 beta i) i)) (+.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 i (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (*.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 i beta) i)) (+.f64 (+.f64 i alpha) beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (+.f64 (+.f64 beta alpha) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)))) |
(/.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (*.f64 #s(literal 2 binary64) i) #s(literal -1 binary64)))) |
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) (* 2 i)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)))) #s(literal 1 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (exp.f64 (*.f64 (log.f64 (/.f64 beta (*.f64 (/.f64 (+.f64 i alpha) beta) i))) #s(literal -1 binary64)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (exp.f64 (*.f64 (log.f64 (/.f64 beta i)) #s(literal -1 binary64))))) |
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 #s(approx (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha) (/.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (neg.f64 beta))) beta)) (*.f64 beta beta))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)) (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (*.f64 (+.f64 (+.f64 alpha beta) i) i)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64)))) #s(literal -1 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) |
4 calls:
| 50.0ms | beta |
| 39.0ms | i |
| 17.0ms | alpha |
| 14.0ms | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 2 | alpha |
| 84.1% | 2 | beta |
| 88.3% | 2 | i |
| 88.0% | 2 | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
Compiled 56 to 26 computations (53.6% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 (*.f64 i i) (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 beta beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 i alpha) i) (*.f64 beta beta))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (*.f64 alpha alpha))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 i beta) #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* (/ (+ alpha i) beta) i) (/.f64 (*.f64 i i) beta)) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) i) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta)) |
(/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ 1 (+ (* i 2) (+ beta alpha)))) (*.f64 #s(literal 1/8 binary64) i)) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 (/.f64 i beta) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (/.f64 (+.f64 i alpha) beta) beta) i)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (+.f64 i alpha) (*.f64 (/.f64 beta i) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (+.f64 i alpha) (/.f64 (*.f64 beta beta) i))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 beta i))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (-.f64 #s(approx (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (*.f64 (*.f64 i i) #s(literal 4 binary64))) #s(literal 1 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 alpha i) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta i)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (*.f64 (+.f64 i alpha) (-.f64 alpha i)) i) (*.f64 (-.f64 alpha i) (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 alpha i)) (/.f64 beta i)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 i alpha)) (/.f64 beta i)))) |
(/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ 1 (+ (* i 2) (+ beta alpha)))) (/.f64 (*.f64 (+.f64 alpha i) i) beta)) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 alpha i) i)) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 i alpha) i)) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i #s(approx (+ (* (+ beta alpha) 2) (- (neg alpha) beta)) beta))) i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 alpha i) i)) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (/ (+ alpha i) beta) (*.f64 (+.f64 (/.f64 i (*.f64 beta alpha)) (/.f64 #s(literal 1 binary64) beta)) alpha)) (/.f64 beta i))) |
(/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 #s(approx (+ (* 2 (+ beta alpha)) (- (neg alpha) beta)) (-.f64 (*.f64 beta #s(literal 2 binary64)) beta)) i) #s(literal 1/4 binary64)) i))) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)))) i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 alpha i) i)) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) (* 2 i)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal -1 binary64) #s(literal -1 binary64)) (neg.f64 alpha)))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(approx (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (*.f64 beta (+.f64 alpha i)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) (+.f64 i (-.f64 (neg.f64 alpha) beta))))))) (*.f64 (fma.f64 i #s(literal 2 binary64) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64)))) |
(/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) i) #s(literal 1/4 binary64)) i))) (+.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(approx (/ (* (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (+ alpha beta) i)) (+ (* 2 i) (+ alpha beta))) (*.f64 beta (+.f64 alpha i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) #s(literal 1 binary64))) #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) i) (fma.f64 (+.f64 alpha beta) #s(literal 2 binary64) (+.f64 i (-.f64 (neg.f64 alpha) beta))))))) (fma.f64 i #s(literal 2 binary64) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (*.f64 i i) (fma.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (-.f64 (neg.f64 alpha) beta)) (/.f64 #s(literal 1/4 binary64) i) #s(literal 1/4 binary64)))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (fma.f64 (+.f64 alpha i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (*.f64 beta beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (fma.f64 (+.f64 i alpha) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 i alpha) (+.f64 i (+.f64 i alpha))) beta) (/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)) (+.f64 i alpha)) beta)))) (*.f64 beta beta))) |
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (*.f64 #s(approx (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (*.f64 (+.f64 beta i) i)) (+.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 i (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 (*.f64 #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 i beta) i)) (+.f64 (+.f64 i alpha) beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (+.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i))) |
3 calls:
| 35.0ms | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
| 28.0ms | i |
| 15.0ms | alpha |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 2 | alpha |
| 83.7% | 2 | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
| 82.6% | 2 | i |
Compiled 55 to 23 computations (58.2% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 (*.f64 i i) (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 beta beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 i alpha) i) (*.f64 beta beta))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (*.f64 alpha alpha))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 i beta) #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* (/ (+ alpha i) beta) i) (/.f64 (*.f64 i i) beta)) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) i) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta)) |
(/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ 1 (+ (* i 2) (+ beta alpha)))) (*.f64 #s(literal 1/8 binary64) i)) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 (/.f64 i beta) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (/.f64 (+.f64 i alpha) beta) beta) i)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (+.f64 i alpha) (*.f64 (/.f64 beta i) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (+.f64 i alpha) (/.f64 (*.f64 beta beta) i))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 beta i))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (-.f64 #s(approx (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (*.f64 (*.f64 i i) #s(literal 4 binary64))) #s(literal 1 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 alpha i) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta i)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (*.f64 (+.f64 i alpha) (-.f64 alpha i)) i) (*.f64 (-.f64 alpha i) (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 alpha i)) (/.f64 beta i)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 i alpha)) (/.f64 beta i)))) |
(/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ 1 (+ (* i 2) (+ beta alpha)))) (/.f64 (*.f64 (+.f64 alpha i) i) beta)) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i))) |
2 calls:
| 8.0ms | alpha |
| 8.0ms | beta |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.1% | 2 | beta |
| 82.1% | 2 | alpha |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 (*.f64 i i) (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 beta beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 i alpha) i) (*.f64 beta beta))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (*.f64 alpha alpha))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 i beta) #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* (/ (+ alpha i) beta) i) (/.f64 (*.f64 i i) beta)) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) i) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta)) |
(/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ 1 (+ (* i 2) (+ beta alpha)))) (*.f64 #s(literal 1/8 binary64) i)) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 (/.f64 i beta) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (/.f64 (+.f64 i alpha) beta) beta) i)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (+.f64 i alpha) (*.f64 (/.f64 beta i) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (+.f64 i alpha) (/.f64 (*.f64 beta beta) i))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 beta i))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (-.f64 #s(approx (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (*.f64 (*.f64 i i) #s(literal 4 binary64))) #s(literal 1 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 alpha i) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta i)))) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) |
1 calls:
| 7.0ms | beta |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.0% | 2 | beta |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 (*.f64 i i) (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 beta beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 i alpha) i) (*.f64 beta beta))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (*.f64 alpha alpha))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 i beta) #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* (/ (+ alpha i) beta) i) (/.f64 (*.f64 i i) beta)) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) i) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) i) beta)) |
(/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ 1 (+ (* i 2) (+ beta alpha)))) (*.f64 #s(literal 1/8 binary64) i)) (-.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 (/.f64 i beta) beta))) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))) |
3 calls:
| 14.0ms | beta |
| 5.0ms | i |
| 4.0ms | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.9% | 1 | i |
| 77.9% | 2 | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
| 82.5% | 2 | beta |
Compiled 55 to 23 computations (58.2% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 (*.f64 i i) (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 beta beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 i alpha) i) (*.f64 beta beta))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (*.f64 alpha alpha))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))) |
2 calls:
| 3.0ms | beta |
| 3.0ms | alpha |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.1% | 2 | alpha |
| 78.6% | 2 | beta |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (/ (+ alpha i) beta) (/ beta i)) (/.f64 (*.f64 i i) (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 beta beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 i alpha) i) (*.f64 beta beta))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (*.f64 alpha alpha))) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
1 calls:
| 3.0ms | beta |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.1% | 2 | beta |
Compiled 1 to 3 computations (-200% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
4 calls:
| 5.0ms | beta |
| 1.0ms | alpha |
| 1.0ms | i |
| 1.0ms | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.9% | 1 | i |
| 75.9% | 1 | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
| 75.9% | 1 | alpha |
| 75.9% | 1 | beta |
Compiled 56 to 26 computations (53.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 3.5193905135241953e+99 | 1.847078047566199e+100 |
| 8.0ms | 96× | 0 | valid |
Compiled 470 to 227 computations (51.7% saved)
ival-mult: 3.0ms (49.7% of total)ival-add: 2.0ms (33.1% of total)ival-div: 1.0ms (16.6% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 1.0048545029213877e-52 | 1.8456141320964485e-51 |
| 10.0ms | 112× | 0 | valid |
Compiled 259 to 191 computations (26.3% saved)
ival-mult: 3.0ms (42.5% of total)ival-add: 2.0ms (28.4% of total)ival-sub: 1.0ms (14.2% of total)ival-div: 1.0ms (14.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 7.693705261754049e+126 | 2.3529983335759244e+130 |
| 12.0ms | 128× | 0 | valid |
Compiled 152 to 143 computations (5.9% saved)
ival-mult: 3.0ms (36.6% of total)ival-add: 2.0ms (24.4% of total)ival-sub: 1.0ms (12.2% of total)ival-div: 1.0ms (12.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 7.693705261754049e+126 | 2.3529983335759244e+130 |
Compiled 152 to 143 computations (5.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 4.614987837349591e+222 | 8.817289437476455e+222 |
| 6.0ms | 64× | 0 | valid |
Compiled 100 to 79 computations (21% saved)
ival-mult: 2.0ms (48.7% of total)ival-div: 1.0ms (24.4% of total)ival-add: 1.0ms (24.4% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 5.892578199436509e+225 | 2.1098949782279533e+229 |
| 11.0ms | 128× | 0 | valid |
Compiled 144 to 143 computations (0.7% saved)
ival-mult: 4.0ms (49.1% of total)ival-add: 2.0ms (24.6% of total)ival-sub: 1.0ms (12.3% of total)ival-div: 1.0ms (12.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 1.4052645311348626e+271 | 9.879183846323395e+272 |
| 10.0ms | 112× | 0 | valid |
Compiled 133 to 128 computations (3.8% saved)
ival-mult: 3.0ms (40.9% of total)ival-add: 2.0ms (27.3% of total)ival-sub: 1.0ms (13.6% of total)ival-div: 1.0ms (13.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 946 |
| 1 | 108 | 946 |
| 2 | 126 | 946 |
| 3 | 145 | 946 |
| 4 | 176 | 946 |
| 5 | 219 | 946 |
| 6 | 238 | 946 |
| 7 | 244 | 946 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 i #s(literal 7799999999999999890922283589039872254986001861055050686940614808786571692075408058765992364343296000 binary64)) (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))))) |
(if (<=.f64 alpha #s(literal 6133387866776771/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i)))) |
(if (<=.f64 beta #s(literal 3099999999999999963691257708041061504972679414916980466134738048111685036573700191374088741058836745862913733868089818286141734912 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i)))) |
(if (<=.f64 beta #s(literal 3099999999999999963691257708041061504972679414916980466134738048111685036573700191374088741058836745862913733868089818286141734912 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)))) |
(if (<=.f64 beta #s(literal 4699999999999999897975277074417684623689579400504218126709626046781201436825384082800836720485282951322767387902227308532581409604511125068736217181957864165401133350830924209527707596683529750037695848194526667008511049728 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta)))) |
(if (<=.f64 beta #s(literal 5299999999999999902882171998305122402527979915413280326579865654531469424536926592063569702808625838045333657830700468558510473414146669103209610031444747360888715752753617404973021174102926802521670375805079653388534070470770688 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta)))) |
(if (<=.f64 beta #s(literal 18000000000000001780008343538797832551807609702604492827114516903080237993839429948315573974649423558329658808954231711277123425412106573364373972281286044415155620367551627845531820688153163765486425145430292624930943788436949731116839865067641935785432157828456810283008 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (*.f64 alpha (/.f64 i (*.f64 beta beta)))))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
| Outputs |
|---|
(if (<=.f64 i #s(literal 7799999999999999890922283589039872254986001861055050686940614808786571692075408058765992364343296000 binary64)) (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))))) |
(if (<=.f64 i #s(literal 7799999999999999890922283589039872254986001861055050686940614808786571692075408058765992364343296000 binary64)) (*.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 (+.f64 beta alpha) i)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 beta alpha) i))))) |
(if (<=.f64 alpha #s(literal 6133387866776771/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i)))) |
(if (<=.f64 alpha #s(literal 6133387866776771/3369993333393829974333376885877453834204643052817571560137951281152 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 beta alpha) i)))) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i)))) |
(if (<=.f64 beta #s(literal 3099999999999999963691257708041061504972679414916980466134738048111685036573700191374088741058836745862913733868089818286141734912 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i)))) |
(if (<=.f64 beta #s(literal 3099999999999999963691257708041061504972679414916980466134738048111685036573700191374088741058836745862913733868089818286141734912 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)))) |
(if (<=.f64 beta #s(literal 3099999999999999963691257708041061504972679414916980466134738048111685036573700191374088741058836745862913733868089818286141734912 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 i beta) (/.f64 (+.f64 alpha i) beta)))) |
(if (<=.f64 beta #s(literal 4699999999999999897975277074417684623689579400504218126709626046781201436825384082800836720485282951322767387902227308532581409604511125068736217181957864165401133350830924209527707596683529750037695848194526667008511049728 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta)))) |
(if (<=.f64 beta #s(literal 5299999999999999902882171998305122402527979915413280326579865654531469424536926592063569702808625838045333657830700468558510473414146669103209610031444747360888715752753617404973021174102926802521670375805079653388534070470770688 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta)))) |
(if (<=.f64 beta #s(literal 18000000000000001780008343538797832551807609702604492827114516903080237993839429948315573974649423558329658808954231711277123425412106573364373972281286044415155620367551627845531820688153163765486425145430292624930943788436949731116839865067641935785432157828456810283008 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (*.f64 alpha (/.f64 i (*.f64 beta beta)))))) |
(if (<=.f64 beta #s(literal 18000000000000001780008343538797832551807609702604492827114516903080237993839429948315573974649423558329658808954231711277123425412106573364373972281286044415155620367551627845531820688153163765486425145430292624930943788436949731116839865067641935785432157828456810283008 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (/ (+ alpha i) beta) i) beta) (*.f64 (/.f64 i (*.f64 beta beta)) alpha)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1663 | 50928 |
| 1 | 5901 | 49922 |
| 0 | 8550 | 45954 |
| 0 | 2375 | 54670 |
| 0 | 8497 | 49983 |
| 0 | 1262 | 48439 |
| 1 | 4450 | 44838 |
| 0 | 8836 | 41588 |
| 0 | 1089 | 12630 |
| 1 | 3841 | 11840 |
| 0 | 8258 | 10972 |
| 0 | 64 | 629 |
| 0 | 111 | 531 |
| 1 | 473 | 531 |
| 2 | 4661 | 531 |
| 0 | 8819 | 526 |
| 0 | 17 | 157 |
| 0 | 29 | 127 |
| 1 | 146 | 127 |
| 2 | 1503 | 127 |
| 0 | 8180 | 117 |
| 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× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 402 to 245 computations (39.1% saved)
(sort alpha beta)
Compiled 622 to 228 computations (63.3% saved)
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