Octave 3.8, jcobi/4
Time bar (total: 13.2s)
| 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)
| 1.7s | 8 256× | 0 | valid |
ival-mult: 799.0ms (58.5% of total)ival-add: 256.0ms (18.7% of total)ival-div: 119.0ms (8.7% of total)ival->: 89.0ms (6.5% of total)ival-sub: 68.0ms (5% of total)ival-and: 17.0ms (1.2% of total)exact: 14.0ms (1% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 211 | 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)))) |
| 141 | 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 | 157 | 0 |
| ↳ | (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) | overflow | 146 | |
| ↳ | (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) | overflow | 211 | |
| ↳ | (*.f64 beta alpha) | overflow | 11 | |
| ↳ | (*.f64 i (+.f64 (+.f64 alpha beta) i)) | overflow | 288 | |
| ↳ | (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) | overflow | 4 | |
| ↳ | (*.f64 #s(literal 2 binary64) i) | overflow | 4 | |
| ↳ | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) | overflow | 157 | |
/.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 | 122 | 0 |
| ↳ | (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) | overflow | 146 | |
| ↳ | (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) | overflow | 211 | |
| ↳ | (*.f64 i (+.f64 (+.f64 alpha beta) i)) | overflow | 288 | |
| ↳ | (*.f64 #s(literal 2 binary64) i) | overflow | 4 | |
| ↳ | (*.f64 beta alpha) | overflow | 11 | |
| ↳ | (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) | overflow | 4 | |
| ↳ | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) | overflow | 157 | |
| ↳ | (/.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 | 122 | |
| ↳ | (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) | overflow | 4 | |
| ↳ | (*.f64 #s(literal 2 binary64) i) | overflow | 4 | |
| ↳ | (-.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 | 157 | |
| ↳ | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) | overflow | 157 | |
/.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 | 54 | 0 |
| ↳ | (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) | overflow | 146 | |
| ↳ | (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) | overflow | 211 | |
| ↳ | (*.f64 beta alpha) | overflow | 11 | |
| ↳ | (*.f64 i (+.f64 (+.f64 alpha beta) i)) | overflow | 288 | |
/.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 alpha beta) (*.f64 #s(literal 2 binary64) i)) | overflow | 4 | |
| ↳ | (*.f64 #s(literal 2 binary64) i) | overflow | 4 | |
| ↳ | (-.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 | 157 | |
| ↳ | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) | overflow | 157 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 211 | 0 |
| - | 0 | 45 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 211 | 0 | 0 |
| - | 0 | 0 | 45 |
| number | freq |
|---|---|
| 0 | 45 |
| 1 | 70 |
| 2 | 141 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 58.0ms | 508× | 0 | valid |
| 6.0ms | 2× | 1 | valid |
| 1.0ms | 2× | 3 | valid |
Compiled 423 to 55 computations (87% saved)
ival-mult: 14.0ms (33.8% of total)ival-add: 12.0ms (29% of total)adjust: 6.0ms (14.5% of total)ival-div: 6.0ms (14.5% of total)ival-sub: 2.0ms (4.8% of total)exact: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 12 580× | lower-fma.f64 |
| 12 580× | lower-fma.f32 |
| 4 108× | lower-*.f32 |
| 4 098× | lower-*.f64 |
| 3 894× | lower-+.f32 |
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 |
|---|---|---|
| ▶ | 18.2% | (/.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 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))) |
| 12 580× | lower-fma.f64 |
| 12 580× | lower-fma.f32 |
| 4 108× | lower-*.f32 |
| 4 098× | lower-*.f64 |
| 3 894× | lower-+.f32 |
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 | 0.01171875 | (*.f64 i (+.f64 (+.f64 alpha beta) i)) | |
| accuracy | 0.10384750976844201 | (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) | |
| accuracy | 33.57934620239868 | (/.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 | 45.28720192209959 | (/.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)))) |
| 26.0ms | 254× | 0 | valid |
| 0.0ms | 1× | 3 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 185 to 19 computations (89.7% saved)
ival-mult: 7.0ms (43.5% of total)ival-add: 5.0ms (31.1% of total)ival-div: 3.0ms (18.7% of total)ival-sub: 1.0ms (6.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.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>) () ()) |
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#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 i (+.f64 (+.f64 alpha beta) i)) (patch (*.f64 i (+.f64 (+.f64 alpha beta) i)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* i (+ alpha i)) (taylor 0 beta) (#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>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 141.0ms | i | @ | -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)))) (* i (+ (+ alpha beta) i))) |
| 17.0ms | 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)))) (* i (+ (+ alpha beta) i))) |
| 7.0ms | 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)))) (* i (+ (+ alpha beta) 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)))) (* i (+ (+ alpha beta) i))) |
| 5.0ms | 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)))) (* i (+ (+ alpha beta) i))) |
| 1× | egg-herbie |
| 9 052× | lower-fma.f64 |
| 9 052× | lower-fma.f32 |
| 5 838× | lower-+.f64 |
| 5 838× | lower-+.f32 |
| 4 914× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1076 | 12372 |
| 1 | 3790 | 11572 |
| 0 | 8145 | 10751 |
| 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))) |
(* i (+ alpha i)) |
(+ (* beta i) (* i (+ alpha i))) |
(+ (* beta i) (* i (+ alpha i))) |
(+ (* beta i) (* i (+ alpha i))) |
(* 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))))) |
(* beta i) |
(* beta (+ i (/ (* i (+ alpha i)) beta))) |
(* beta (+ i (/ (* i (+ alpha i)) beta))) |
(* beta (+ i (/ (* i (+ alpha i)) beta))) |
(* -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)))) |
(* 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))))) |
(* 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))) |
(* i (+ beta i)) |
(+ (* alpha i) (* i (+ beta i))) |
(+ (* alpha i) (* i (+ beta i))) |
(+ (* alpha i) (* i (+ beta i))) |
(* 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))))) |
(* alpha i) |
(* alpha (+ i (/ (* i (+ beta i)) alpha))) |
(* alpha (+ i (/ (* i (+ beta i)) alpha))) |
(* alpha (+ i (/ (* i (+ beta i)) alpha))) |
(* -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)))) |
(* 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))))) |
(* 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)))))) |
(* i (+ alpha beta)) |
(* i (+ alpha (+ beta i))) |
(* i (+ alpha (+ beta i))) |
(* i (+ alpha (+ 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)))))) |
(* 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)))))))) |
(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)))) |
(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)))) |
(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)))) |
| Outputs |
|---|
(* i (+ alpha i)) |
(*.f64 (+.f64 alpha i) i) |
(+ (* beta (+ alpha i)) (* i (+ alpha i))) |
(*.f64 (+.f64 beta i) (+.f64 alpha i)) |
(+ (* beta (+ alpha i)) (* i (+ alpha i))) |
(*.f64 (+.f64 beta i) (+.f64 alpha i)) |
(+ (* beta (+ alpha i)) (* i (+ alpha i))) |
(*.f64 (+.f64 beta i) (+.f64 alpha 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))) |
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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 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)))))) (*.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)))))) (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))) |
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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)) |
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(*.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) (+.f64 beta i)) alpha) |
alpha |
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(*.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)) (/ (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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(/ (- (+ (* -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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(* (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 (*.f64 i (+.f64 (/.f64 (*.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) alpha) (+.f64 beta i))) (*.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))))) |
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(* (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))))) |
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(* alpha i) |
(*.f64 alpha i) |
(* alpha (+ i (/ (* i (+ beta i)) alpha))) |
(*.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) i) alpha) |
(* alpha (+ i (/ (* i (+ beta i)) alpha))) |
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(* alpha (+ i (/ (* i (+ beta i)) alpha))) |
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(* -1 (* alpha (+ (* -1 beta) (* -1 i)))) |
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alpha |
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(pow alpha 2) |
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(* (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)) |
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(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) 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)) |
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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 (/ (- (* (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))))) |
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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 i) |
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(* alpha beta) |
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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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(/ (* alpha (* beta i)) (+ alpha beta)) |
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(* 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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(* alpha (* beta (* i (+ alpha beta)))) |
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(* i (+ alpha beta)) |
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(* i (+ alpha (+ beta i))) |
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(* 2 i) |
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(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
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(* 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)))) |
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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))) |
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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)))) |
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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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(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))) |
(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)))) |
(*.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)) |
(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)))) |
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(* (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)))) |
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(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) 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 #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))) |
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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 (/ (- (+ (* -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))) |
(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)))) |
(*.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)) |
| 5 174× | lower-fma.f64 |
| 5 174× | lower-fma.f32 |
| 4 888× | lower-/.f32 |
| 4 884× | lower-/.f64 |
| 4 186× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 149 |
| 0 | 29 | 125 |
| 1 | 146 | 125 |
| 2 | 1503 | 125 |
| 0 | 8180 | 116 |
| 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 i (+.f64 (+.f64 alpha beta) i)) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (neg.f64 (*.f64 alpha beta))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 3 binary64)) (pow.f64 (*.f64 alpha beta) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (neg.f64 (*.f64 alpha beta))) (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 3 binary64)) (pow.f64 (*.f64 alpha beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) alpha) beta))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 3 binary64)) (pow.f64 (*.f64 alpha beta) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (neg.f64 (*.f64 alpha beta))) (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))) (/.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))) (fma.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))) (/.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))) (*.f64 (/.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))) (/.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 alpha beta (*.f64 (+.f64 alpha beta) i)) #s(literal 3 binary64)) (pow.f64 i #s(literal 6 binary64))) (fma.f64 (fma.f64 alpha beta (*.f64 (+.f64 alpha beta) i)) (fma.f64 alpha beta (*.f64 (+.f64 alpha beta) i)) (-.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (fma.f64 alpha beta (*.f64 (+.f64 alpha beta) i)) (*.f64 i i))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha beta) i) #s(literal 3 binary64)) (pow.f64 (fma.f64 i i (*.f64 alpha beta)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 alpha beta) i) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 i i (*.f64 alpha beta)) (fma.f64 i i (*.f64 alpha beta))) (*.f64 (*.f64 (+.f64 alpha beta) i) (fma.f64 i i (*.f64 alpha beta)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (neg.f64 (*.f64 alpha beta))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 3 binary64)) (pow.f64 (*.f64 alpha beta) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (neg.f64 (*.f64 alpha beta))) (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))) (*.f64 (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i)) (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (neg.f64 (*.f64 alpha beta)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 3 binary64)) (pow.f64 (*.f64 alpha beta) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) alpha) beta))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 3 binary64)) (pow.f64 (*.f64 alpha beta) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (neg.f64 (*.f64 alpha beta))) (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64))) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 3 binary64)) (pow.f64 (*.f64 alpha beta) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) alpha) beta)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 3 binary64)) (pow.f64 (*.f64 alpha beta) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (neg.f64 (*.f64 alpha beta))) (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (neg.f64 (*.f64 alpha beta))) (-.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) alpha) beta))) (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 3 binary64)) (pow.f64 (*.f64 alpha beta) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)))) |
(fma.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) i) (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 i i (*.f64 alpha beta))) |
(fma.f64 (*.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) i) (pow.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)) #s(literal -1 binary64)) (fma.f64 i i (*.f64 alpha beta))) |
(fma.f64 (*.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 i i)) i) (pow.f64 (-.f64 (+.f64 alpha beta) i) #s(literal -1 binary64)) (*.f64 alpha beta)) |
(fma.f64 (*.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) i) (pow.f64 (fma.f64 i (-.f64 i (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 alpha beta)) |
(fma.f64 (*.f64 i (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 i i (*.f64 alpha beta))) |
(fma.f64 (*.f64 i (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (pow.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)) #s(literal -1 binary64)) (fma.f64 i i (*.f64 alpha beta))) |
(fma.f64 (*.f64 i (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 i i))) (pow.f64 (-.f64 (+.f64 alpha beta) i) #s(literal -1 binary64)) (*.f64 alpha beta)) |
(fma.f64 (*.f64 i (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (pow.f64 (fma.f64 i (-.f64 i (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 alpha beta)) |
(fma.f64 (-.f64 (pow.f64 (*.f64 (+.f64 alpha beta) i) #s(literal 2 binary64)) (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) i (neg.f64 (*.f64 i i)))) (*.f64 alpha beta)) |
(fma.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha beta) i) #s(literal 3 binary64)) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (+.f64 alpha beta) i) #s(literal 2 binary64)) (-.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 alpha beta) i) (*.f64 i i))))) (*.f64 alpha beta)) |
(fma.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))))) |
(fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) |
(fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta))) |
(fma.f64 i (+.f64 (+.f64 alpha beta) i) (*.f64 alpha beta)) |
(fma.f64 i (+.f64 alpha beta) (fma.f64 i i (*.f64 alpha beta))) |
(fma.f64 alpha beta (*.f64 (+.f64 (+.f64 alpha beta) i) i)) |
(fma.f64 beta alpha (*.f64 (+.f64 (+.f64 alpha beta) i) i)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (neg.f64 (*.f64 alpha beta)))) (/.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (neg.f64 (*.f64 alpha beta))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))) (/.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i)))) |
(+.f64 (fma.f64 alpha beta (*.f64 (+.f64 alpha beta) i)) (*.f64 i i)) |
(+.f64 (/.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))) (neg.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))))) |
(+.f64 (*.f64 (+.f64 alpha beta) i) (fma.f64 i i (*.f64 alpha beta))) |
(+.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) (*.f64 alpha beta)) |
(+.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i)) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (-.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
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(fma.f64 alpha (*.f64 beta (*.f64 (+.f64 (+.f64 alpha beta) i) i)) (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64))) |
(fma.f64 beta (*.f64 alpha (*.f64 (+.f64 (+.f64 alpha beta) i) i)) (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) alpha) beta) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) alpha) beta (neg.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 4 binary64)) (fma.f64 (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) alpha) beta (neg.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)))))) |
(+.f64 (*.f64 (*.f64 (+.f64 alpha beta) i) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta))) (*.f64 (*.f64 i i) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)))) |
(+.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (*.f64 (+.f64 alpha beta) i)) (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (*.f64 i i))) |
(+.f64 (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) alpha) beta) (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) alpha) beta)) |
(*.f64 (*.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 i i)) i) (pow.f64 (-.f64 (+.f64 alpha beta) i) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) i) (pow.f64 (fma.f64 i (-.f64 i (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 i (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 i i))) (pow.f64 (-.f64 (+.f64 alpha beta) i) #s(literal -1 binary64))) |
(*.f64 (*.f64 i (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (pow.f64 (fma.f64 i (-.f64 i (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 alpha beta) i) #s(literal 2 binary64)) (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) i (neg.f64 (*.f64 i i))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha beta) i) #s(literal 3 binary64)) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (+.f64 alpha beta) i) #s(literal 2 binary64)) (-.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 alpha beta) i) (*.f64 i i)))))) |
(*.f64 (+.f64 (+.f64 alpha beta) i) i) |
(*.f64 i (+.f64 (+.f64 alpha beta) i)) |
(/.f64 (+.f64 (pow.f64 (*.f64 alpha i) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 i beta) i) #s(literal 3 binary64))) (fma.f64 (*.f64 alpha i) (*.f64 alpha i) (-.f64 (*.f64 (*.f64 (+.f64 i beta) i) (*.f64 (+.f64 i beta) i)) (*.f64 (*.f64 alpha i) (*.f64 (+.f64 i beta) i))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 i alpha) #s(literal 3 binary64)) (pow.f64 (*.f64 i (+.f64 i beta)) #s(literal 3 binary64))) (fma.f64 (*.f64 i alpha) (*.f64 i alpha) (-.f64 (*.f64 (*.f64 i (+.f64 i beta)) (*.f64 i (+.f64 i beta))) (*.f64 (*.f64 i alpha) (*.f64 i (+.f64 i beta)))))) |
(/.f64 (+.f64 (pow.f64 i #s(literal 6 binary64)) (pow.f64 (*.f64 (+.f64 alpha beta) i) #s(literal 3 binary64))) (+.f64 (pow.f64 i #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (+.f64 alpha beta) i) #s(literal 2 binary64)) (*.f64 (*.f64 i i) (*.f64 (+.f64 alpha beta) i))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 i i)) i)) (neg.f64 (-.f64 (+.f64 alpha beta) i))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) i)) (neg.f64 (fma.f64 i (-.f64 i (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 i (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 i i)))) (neg.f64 (-.f64 (+.f64 alpha beta) i))) |
(/.f64 (neg.f64 (*.f64 i (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))))) (neg.f64 (fma.f64 i (-.f64 i (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 alpha beta) i) #s(literal 2 binary64)) (pow.f64 i #s(literal 4 binary64)))) (neg.f64 (fma.f64 (+.f64 alpha beta) i (neg.f64 (*.f64 i i))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha beta) i) #s(literal 3 binary64)) (pow.f64 i #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha beta) i) #s(literal 2 binary64)) (-.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 alpha beta) i) (*.f64 i i)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 i i)) i) (-.f64 (+.f64 alpha beta) i)) |
(/.f64 (*.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) i) (fma.f64 i (-.f64 i (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(/.f64 (*.f64 i (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 i i))) (-.f64 (+.f64 alpha beta) i)) |
(/.f64 (*.f64 i (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 i (-.f64 i (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 alpha beta) i) #s(literal 2 binary64)) (pow.f64 i #s(literal 4 binary64))) (fma.f64 (+.f64 alpha beta) i (neg.f64 (*.f64 i i)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha beta) i) #s(literal 3 binary64)) (pow.f64 i #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 alpha beta) i) #s(literal 2 binary64)) (-.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 alpha beta) i) (*.f64 i i))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 alpha beta) i) (*.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 i i)) i))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i (-.f64 i (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) i))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 alpha beta) i) (*.f64 i (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 i i))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i (-.f64 i (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 i (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 alpha beta) i (neg.f64 (*.f64 i i))) (-.f64 (pow.f64 (*.f64 (+.f64 alpha beta) i) #s(literal 2 binary64)) (pow.f64 i #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha beta) i) #s(literal 2 binary64)) (-.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 alpha beta) i) (*.f64 i i)))) (+.f64 (pow.f64 (*.f64 (+.f64 alpha beta) i) #s(literal 3 binary64)) (pow.f64 i #s(literal 6 binary64))))) |
(/.f64 i (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 alpha beta) i))) |
(fma.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) i) (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)) (*.f64 i i)) |
(fma.f64 (*.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) i) (pow.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)) #s(literal -1 binary64)) (*.f64 i i)) |
(fma.f64 (*.f64 i (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)) (*.f64 i i)) |
(fma.f64 (*.f64 i (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (pow.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)) #s(literal -1 binary64)) (*.f64 i i)) |
(fma.f64 (+.f64 alpha beta) i (*.f64 i i)) |
(fma.f64 i (+.f64 alpha beta) (*.f64 i i)) |
(fma.f64 i i (*.f64 (+.f64 alpha beta) i)) |
(fma.f64 i alpha (*.f64 i (+.f64 i beta))) |
(fma.f64 alpha i (*.f64 (+.f64 i beta) i)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 alpha beta) i) #s(literal 2 binary64)) (fma.f64 (+.f64 alpha beta) i (neg.f64 (*.f64 i i)))) (/.f64 (pow.f64 i #s(literal 4 binary64)) (fma.f64 (+.f64 alpha beta) i (neg.f64 (*.f64 i i))))) |
(+.f64 (*.f64 alpha i) (*.f64 (+.f64 i beta) i)) |
(+.f64 (*.f64 i alpha) (*.f64 i (+.f64 i beta))) |
(+.f64 (*.f64 (+.f64 alpha beta) i) (*.f64 i i)) |
(+.f64 (*.f64 i i) (*.f64 (+.f64 alpha beta) i)) |
Compiled 68 815 to 3 753 computations (94.5% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 027 | 15 | 1 042 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 1 028 | 15 | 1 043 |
| Status | Accuracy | Program |
|---|---|---|
| 40.3% | (/.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))) | |
| ▶ | 18.2% | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta)))) (*.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))) |
| 18.2% | (/.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))) | |
| 40.4% | (/.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 (+.f64 (+.f64 alpha beta) i) (/.f64 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))) | |
| 24.6% | (/.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))) | |
| ▶ | 14.6% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (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 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) 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))) |
| 19.4% | (/.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))) | |
| ▶ | 33.5% | (/.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))) |
| 39.0% | (/.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))) | |
| 44.3% | (*.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)))) | |
| 40.2% | (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) (+.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)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) | |
| 14.4% | #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 (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))) | |
| 62.6% | #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(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 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))) (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))) (+.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))) | |
| ▶ | 30.6% | #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) (/.f64 i beta))) |
| ▶ | 70.9% | #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 1 204 to 540 computations (55.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta)))) (*.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 | 192 | (fma.f64 (+.f64 alpha beta) i (fma.f64 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 | 320 | (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 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta)))) | |
| cost-diff | 1216 | (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) 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)) |
| 10 232× | lower-fma.f32 |
| 10 222× | lower-fma.f64 |
| 5 938× | lower-*.f32 |
| 5 912× | lower-*.f64 |
| 3 022× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 932 |
| 0 | 106 | 956 |
| 1 | 231 | 953 |
| 2 | 673 | 923 |
| 3 | 3176 | 879 |
| 4 | 6438 | 857 |
| 0 | 8270 | 783 |
| 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 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (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 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) 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))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (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 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))))) |
(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 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta)))) |
(+.f64 alpha i) |
alpha |
i |
(*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))) |
(-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta)) |
(/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) |
(*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) |
(+.f64 (+.f64 alpha i) i) |
beta |
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta) |
(*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) |
(fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) |
#s(literal 4 binary64) |
(*.f64 #s(literal 2 binary64) alpha) |
#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)) |
(*.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)) (fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta)))) (*.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)) (fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta)))) (*.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)) (fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta)))) |
(*.f64 i (+.f64 (+.f64 alpha beta) i)) |
i |
(+.f64 (+.f64 alpha beta) i) |
(+.f64 alpha beta) |
alpha |
beta |
(fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta))) |
(fma.f64 i i (*.f64 alpha beta)) |
(*.f64 alpha beta) |
(*.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 |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) 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) |
(-.f64 (neg.f64 beta) alpha) |
(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 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (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 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) 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 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (fma.f64 (/.f64 (+.f64 alpha i) beta) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) (+.f64 alpha i)) 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))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (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 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (fma.f64 (/.f64 (+.f64 alpha i) beta) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) (+.f64 alpha i)) i)) |
(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 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta)))) |
(*.f64 (fma.f64 (/.f64 (+.f64 alpha i) beta) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) (+.f64 alpha i)) i) |
(+.f64 alpha i) |
alpha |
i |
(*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))) |
(*.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))))) |
(-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta)) |
(*.f64 (/.f64 (+.f64 alpha i) beta) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))))) |
(/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) (+.f64 alpha i)) |
(*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) |
(*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (+.f64 alpha i)) |
(+.f64 (+.f64 alpha i) i) |
(fma.f64 #s(literal 2 binary64) i alpha) |
beta |
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta) |
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) beta) (+.f64 alpha i)) |
(*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) |
(fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) |
#s(literal 4 binary64) |
(*.f64 #s(literal 2 binary64) alpha) |
#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)) |
(*.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 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta)))) (*.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)) (fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta)))) (*.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)) (fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta)))) |
(*.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 |
(fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta))) |
(fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) |
(fma.f64 i i (*.f64 alpha beta)) |
(fma.f64 beta alpha (*.f64 i i)) |
(*.f64 alpha beta) |
(*.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 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (*.f64 i (+.f64 (+.f64 alpha beta) i)) | |
| accuracy | 0.10384750976844201 | (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta)))) | |
| accuracy | 33.57934620239868 | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta)))) (*.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 | 45.28720192209959 | (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) | |
| accuracy | 10.659031146887749 | (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) | |
| accuracy | 25.534976667227905 | (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta)) | |
| accuracy | 33.57934620239868 | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (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 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) 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 | 42.61703976871152 | #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (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 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))))) | |
| accuracy | 0.01171875 | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) | |
| accuracy | 0.05859375 | (*.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 | 13.001906040772806 | #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 | 33.57934620239868 | (/.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 alpha i) | |
| accuracy | 0.00390625 | (/.f64 (+.f64 alpha i) beta) | |
| accuracy | 0.26791000976844204 | (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)) | |
| accuracy | 44.334183611006274 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) 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 | 18.600576891263884 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) 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)) |
| 143.0ms | 254× | 0 | valid |
| 1.0ms | 1× | 3 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 839 to 55 computations (93.4% saved)
ival-mult: 49.0ms (53.4% of total)ival-div: 23.0ms (25.1% of total)ival-add: 14.0ms (15.2% of total)ival-sub: 3.0ms (3.3% of total)exact: 1.0ms (1.1% of total)ival-neg: 1.0ms (1.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 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 (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta)) (patch (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta)) #<representation binary64>) () ()) |
#s(alt (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 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta)))) (patch (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 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta))) (patch (fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta)))) (*.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)) (fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta)))) (*.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 #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>) () ()) |
#s(alt (*.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 (*.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>) () ()) |
#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 (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (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 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))))) (patch #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (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 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha 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)))) (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 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) 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 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (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 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) 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 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (patch (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta)))) (*.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)) (fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta)))) (*.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)) (fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta)))) (patch (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta)))) #<representation binary64>) () ()) |
#s(alt (*.f64 i (+.f64 (+.f64 alpha beta) i)) (patch (*.f64 i (+.f64 (+.f64 alpha beta) i)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (taylor 0 beta) (#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>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | 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 i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ 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)) (/ (* (* 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)) (* (+ (+ 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)))) (/ (/ (* (* i (+ (+ alpha beta) 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) (+ (+ alpha i) i)) beta) (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* i (+ (+ alpha beta) i))) |
| 10.0ms | 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 i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ 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)) (/ (* (* 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)) (* (+ (+ 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)))) (/ (/ (* (* i (+ (+ alpha beta) 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) (+ (+ alpha i) i)) beta) (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* i (+ (+ alpha beta) i))) |
| 9.0ms | beta | @ | 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 i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ 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)) (/ (* (* 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)) (* (+ (+ 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)))) (/ (/ (* (* i (+ (+ alpha beta) 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) (+ (+ alpha i) i)) beta) (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* i (+ (+ alpha beta) i))) |
| 8.0ms | 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 i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ 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)) (/ (* (* 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)) (* (+ (+ 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)))) (/ (/ (* (* i (+ (+ alpha beta) 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) (+ (+ alpha i) i)) beta) (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* i (+ (+ alpha beta) i))) |
| 7.0ms | 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 i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ 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)) (/ (* (* 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)) (* (+ (+ 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)))) (/ (/ (* (* i (+ (+ alpha beta) 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) (+ (+ alpha i) i)) beta) (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* i (+ (+ alpha beta) i))) |
| 1× | egg-herbie |
| 6 380× | lower-fma.f64 |
| 6 380× | lower-fma.f32 |
| 6 222× | lower-*.f64 |
| 6 222× | lower-*.f32 |
| 4 522× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1879 | 49487 |
| 1 | 6748 | 49419 |
| 0 | 8253 | 45286 |
| 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))) |
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(/ (* 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) |
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(* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) |
(+ (* beta (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2))))) (* i (* (+ alpha i) (+ (* alpha i) (pow i 2))))) |
(+ (* beta (+ (* beta (* i (+ alpha i))) (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))))) (* i (* (+ alpha i) (+ (* alpha i) (pow i 2))))) |
(+ (* beta (+ (* beta (* i (+ alpha i))) (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))))) (* i (* (+ alpha i) (+ (* alpha i) (pow i 2))))) |
(* i (+ alpha i)) |
(+ (* beta i) (* i (+ alpha i))) |
(+ (* beta i) (* i (+ alpha i))) |
(+ (* beta i) (* i (+ alpha i))) |
(/ (* 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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(/ (* 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)) (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)))) |
(/ (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) |
(/ (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) |
(/ (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) |
(/ (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) |
(* i (+ alpha i)) |
(+ (* i (+ alpha i)) (/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))) beta)) |
(+ (* i (+ alpha i)) (/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))) beta)) |
(+ (* i (+ alpha i)) (/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))) beta)) |
(* beta (+ alpha i)) |
(* beta (+ alpha (+ i (+ (/ (* alpha i) beta) (/ (pow i 2) beta))))) |
(* beta (+ alpha (+ i (+ (/ (* alpha i) beta) (/ (pow i 2) beta))))) |
(* beta (+ alpha (+ i (+ (/ (* alpha i) beta) (/ (pow i 2) beta))))) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (pow beta 2)) (/ (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) beta))) (+ (/ (* 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 (+ (* alpha i) (+ (pow i 2) (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)) (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* alpha i) (+ (pow i 2) (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 (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (pow beta 2)) (/ (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) beta)))) (+ (/ (* 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 (+ (* alpha i) (+ (pow i 2) (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)) |
(- (+ (* 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))) |
(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)))))) |
(* 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)) |
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta) |
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta) |
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta) |
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta) |
(* i (+ alpha i)) |
(- (+ (* i (+ alpha i)) (/ (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) |
(- (+ (* i (+ alpha i)) (+ (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (pow beta 2)) (/ (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) beta))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (pow beta 2)) (/ (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) beta)))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* alpha i) (+ (pow i 2) (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 (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) beta))) |
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (pow beta 2)) (/ (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) beta)))) |
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (pow beta 2)) (/ (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) beta)))) |
(* beta i) |
(* beta (+ i (/ (* i (+ alpha i)) beta))) |
(* beta (+ i (/ (* i (+ alpha i)) beta))) |
(* beta (+ i (/ (* 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)) |
(* -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 (/ (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))) beta)) |
(* -1 (/ (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))) beta)) |
(* -1 (/ (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))) beta)) |
(* -1 (/ (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))) beta)) |
(* i (+ alpha i)) |
(+ (* -1 (/ (* i (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) beta)) (* i (+ alpha i))) |
(+ (* -1 (/ (* i (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) beta)) (* i (+ alpha i))) |
(+ (* -1 (/ (* i (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) beta)) (* i (+ alpha i))) |
(* -1 (* beta (+ (* -1 alpha) (* -1 i)))) |
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (+ (* alpha i) (pow i 2)) beta)))))) |
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (+ (* alpha i) (pow i 2)) beta)))))) |
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (+ (* alpha i) (pow i 2)) beta)))))) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (+ (* alpha i) (pow i 2))) (* (+ 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 (/ (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (+ (* alpha i) (pow i 2))) (* (+ 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 (+ (* alpha i) (pow i 2))) (* (+ 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)) (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (+ (* alpha i) (pow i 2))) (* (+ 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)) (+ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (/ (* (- (* i (+ (* -1 (+ (* alpha i) (pow i 2))) (* (+ 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 (+ (* alpha i) (pow i 2))) (* (+ 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 (+ (* alpha i) (pow i 2))) (* (+ 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)) |
(* -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)))) |
(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 (* 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)) |
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta) |
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta) |
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta) |
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta) |
(* -1 (* i (+ (* -1 alpha) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (+ (* alpha i) (pow i 2))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (+ (* alpha i) (pow i 2))) (* (+ 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 (+ (* alpha i) (pow i 2))) (* (+ 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)) (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (+ (* alpha i) (pow i 2))) (* (+ 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 (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* -1 (+ (* alpha i) (pow i 2))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (+ (* alpha i) (pow i 2))) (* (+ 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 (+ (* alpha i) (pow i 2))) (* (+ 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 (+ (* alpha i) (pow i 2))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) beta)))) |
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) beta)) (* i (+ (* -1 (+ (* alpha i) (pow i 2))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta)))) |
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) beta)) (* i (+ (* -1 (+ (* alpha i) (pow i 2))) (* (+ 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))))) |
(/ (* (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)))) |
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(/ (pow i 2) (pow beta 2)) |
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(/ i beta) |
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i |
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(* 2 (/ (pow i 2) beta)) |
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(* i (* (+ beta i) (+ (* beta i) (pow i 2)))) |
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(* i (+ beta i)) |
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(/ (* i (+ beta i)) (pow alpha 2)) |
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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)) |
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(/ (* 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)))) |
(* -1 (/ (pow alpha 2) beta)) |
(* (pow alpha 2) (- (/ i (* alpha beta)) (+ (* 4 (/ i (* alpha beta))) (/ 1 beta)))) |
(* (pow alpha 2) (- (+ (* 2 (/ (pow i 2) (* (pow alpha 2) beta))) (/ i (* alpha beta))) (+ (* 4 (/ i (* alpha beta))) (+ (* 4 (/ (pow i 2) (* (pow alpha 2) beta))) (/ 1 beta))))) |
(* (pow alpha 2) (- (+ (* 2 (/ (pow i 2) (* (pow alpha 2) beta))) (/ i (* alpha beta))) (+ (* 4 (/ i (* alpha beta))) (+ (* 4 (/ (pow i 2) (* (pow alpha 2) beta))) (/ 1 beta))))) |
(* -1 (/ (* (pow alpha 2) i) beta)) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (/ i alpha) (/ (* i (- (/ i beta) (* 4 (/ i beta)))) alpha)))) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (/ i alpha) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 4 (/ (pow i 2) beta)))) (pow alpha 2)) (+ (/ (* i (- (/ i beta) (* 4 (/ i beta)))) alpha) (/ (pow i 2) (pow alpha 2))))))) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (/ i alpha) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 4 (/ (pow i 2) beta)))) (pow alpha 2)) (+ (/ (* i (- (/ i beta) (* 4 (/ i beta)))) alpha) (/ (pow i 2) (pow alpha 2))))))) |
(* alpha (+ beta i)) |
(* alpha (+ beta (+ i (+ (/ (* beta i) alpha) (/ (pow i 2) alpha))))) |
(* alpha (+ beta (+ i (+ (/ (* beta i) alpha) (/ (pow i 2) alpha))))) |
(* alpha (+ beta (+ i (+ (/ (* beta i) alpha) (/ (pow i 2) alpha))))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) alpha))) (+ (/ (* 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 (+ (* beta i) (+ (pow i 2) (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)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* beta i) (+ (pow i 2) (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 (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) alpha)))) (+ (/ (* 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 (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 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)) (/ (* 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))) |
(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)))))) |
(* 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) beta) |
(* (pow alpha 2) (+ (* 2 (/ i (* alpha beta))) (+ (/ 1 beta) (/ i (* alpha beta))))) |
(* (pow alpha 2) (+ (* 2 (/ i (* alpha beta))) (+ (* 2 (/ (pow i 2) (* (pow alpha 2) beta))) (+ (/ 1 beta) (/ i (* alpha beta)))))) |
(* (pow alpha 2) (+ (* 2 (/ i (* alpha beta))) (+ (* 2 (/ (pow i 2) (* (pow alpha 2) beta))) (+ (/ 1 beta) (/ i (* alpha beta)))))) |
(* i (+ beta i)) |
(- (+ (* i (+ beta i)) (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha)) |
(- (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) alpha))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) alpha)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* beta i) (+ (pow i 2) (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 (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) alpha))) |
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) alpha)))) |
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) alpha)))) |
(* alpha i) |
(* alpha (+ i (/ (* i (+ beta i)) alpha))) |
(* alpha (+ i (/ (* i (+ beta i)) alpha))) |
(* alpha (+ i (/ (* 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)) |
(* -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 (/ (pow alpha 2) beta)) |
(* (pow alpha 2) (- (* -1 (/ (- (* -1 (/ i beta)) (* -4 (/ i beta))) alpha)) (/ 1 beta))) |
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ i beta)) (* -1 (/ (- (* 2 (/ (pow i 2) beta)) (* 4 (/ (pow i 2) beta))) alpha))) (* -4 (/ i beta))) alpha)) (/ 1 beta))) |
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ i beta)) (* -1 (/ (- (* 2 (/ (pow i 2) beta)) (* 4 (/ (pow i 2) beta))) alpha))) (* -4 (/ i beta))) alpha)) (/ 1 beta))) |
(* -1 (/ (* (pow alpha 2) i) beta)) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (* -1 (/ (+ (* -1 i) (* i (- (* -1 (/ i beta)) (* -4 (/ i beta))))) alpha)))) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (* -1 (/ (+ (* -1 i) (+ (* -1 (/ (+ (* i (- (* 2 (/ (pow i 2) beta)) (* 4 (/ (pow i 2) beta)))) (pow i 2)) alpha)) (* i (- (* -1 (/ i beta)) (* -4 (/ i beta)))))) alpha)))) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (* -1 (/ (+ (* -1 i) (+ (* -1 (/ (+ (* i (- (* 2 (/ (pow i 2) beta)) (* 4 (/ (pow i 2) beta)))) (pow i 2)) alpha)) (* i (- (* -1 (/ i beta)) (* -4 (/ i beta)))))) alpha)))) |
(* -1 (* alpha (+ (* -1 beta) (* -1 i)))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (+ (* beta i) (pow i 2)) alpha)))))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (+ (* beta i) (pow i 2)) alpha)))))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (+ (* beta i) (pow i 2)) alpha)))))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 (/ (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ 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)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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)) (+ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (/ (* (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ 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)) |
(* -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)))) |
(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 (* 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)) |
(/ (pow alpha 2) beta) |
(* (pow alpha 2) (+ (* -1 (/ (+ (* -2 (/ i beta)) (* -1 (/ i beta))) alpha)) (/ 1 beta))) |
(* (pow alpha 2) (+ (* -1 (/ (+ (* -2 (/ i beta)) (+ (* -2 (/ (pow i 2) (* alpha beta))) (* -1 (/ i beta)))) alpha)) (/ 1 beta))) |
(* (pow alpha 2) (+ (* -1 (/ (+ (* -2 (/ i beta)) (+ (* -2 (/ (pow i 2) (* alpha beta))) (* -1 (/ i beta)))) alpha)) (/ 1 beta))) |
(* -1 (* i (+ (* -1 beta) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ 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)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 (* (+ beta i) (+ (* beta i) (pow i 2)))) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha)))) |
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) alpha)) (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha)))) |
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) alpha)) (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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))))) |
(/ (* 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))) |
(- (/ (pow alpha 2) beta) (* 2 (/ (pow alpha 2) beta))) |
(- (+ (* i (- (/ alpha beta) (* 4 (/ alpha beta)))) (/ (pow alpha 2) beta)) (* 2 (/ (pow alpha 2) beta))) |
(- (+ (* i (- (+ (* -2 (/ i beta)) (/ alpha beta)) (* 4 (/ alpha beta)))) (/ (pow alpha 2) beta)) (* 2 (/ (pow alpha 2) beta))) |
(- (+ (* i (- (+ (* -2 (/ i beta)) (/ alpha beta)) (* 4 (/ alpha beta)))) (/ (pow alpha 2) beta)) (* 2 (/ (pow alpha 2) beta))) |
(* i (- (+ alpha (/ (pow alpha 2) beta)) (* 2 (/ (pow alpha 2) beta)))) |
(* i (- (+ alpha (+ (* i (- (+ 1 (/ alpha beta)) (* 4 (/ alpha beta)))) (/ (pow alpha 2) beta))) (* 2 (/ (pow alpha 2) beta)))) |
(* i (- (+ alpha (+ (* i (- (+ 1 (+ (* -2 (/ i beta)) (/ alpha beta))) (* 4 (/ alpha beta)))) (/ (pow alpha 2) beta))) (* 2 (/ (pow alpha 2) beta)))) |
(* i (- (+ alpha (+ (* i (- (+ 1 (+ (* -2 (/ i beta)) (/ alpha beta))) (* 4 (/ alpha beta)))) (/ (pow alpha 2) beta))) (* 2 (/ (pow alpha 2) beta)))) |
(* 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))))) |
(/ (* 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))))) |
(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)) |
(/ (* 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))))) |
(/ (pow alpha 2) beta) |
(+ (* i (+ (* 2 (/ alpha beta)) (/ alpha beta))) (/ (pow alpha 2) beta)) |
(+ (* i (+ (* 2 (/ alpha beta)) (+ (* 2 (/ i beta)) (/ alpha beta)))) (/ (pow alpha 2) beta)) |
(+ (* i (+ (* 2 (/ alpha beta)) (+ (* 2 (/ i beta)) (/ alpha beta)))) (/ (pow alpha 2) 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)))) |
(* 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))) |
1/16 |
(- (+ 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)))) |
(* -2 (/ (pow i 2) beta)) |
(* (pow i 2) (- (/ alpha (* beta i)) (+ (* 2 (/ 1 beta)) (* 4 (/ alpha (* beta i)))))) |
(* (pow i 2) (- (+ (/ alpha (* beta i)) (/ (pow alpha 2) (* beta (pow i 2)))) (+ (* 2 (/ 1 beta)) (+ (* 2 (/ (pow alpha 2) (* beta (pow i 2)))) (* 4 (/ alpha (* beta i))))))) |
(* (pow i 2) (- (+ (/ alpha (* beta i)) (/ (pow alpha 2) (* beta (pow i 2)))) (+ (* 2 (/ 1 beta)) (+ (* 2 (/ (pow alpha 2) (* beta (pow i 2)))) (* 4 (/ alpha (* beta i))))))) |
(* -2 (/ (pow i 3) beta)) |
(* (pow i 3) (- (+ (/ 1 i) (/ alpha (* beta i))) (+ (* 2 (/ 1 beta)) (* 4 (/ alpha (* beta i)))))) |
(* (pow i 3) (- (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (pow alpha 2) (* beta (pow i 2)))))) (+ (* 2 (/ 1 beta)) (+ (* 2 (/ (pow alpha 2) (* beta (pow i 2)))) (* 4 (/ alpha (* beta i))))))) |
(* (pow i 3) (- (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (pow alpha 2) (* beta (pow i 2)))))) (+ (* 2 (/ 1 beta)) (+ (* 2 (/ (pow alpha 2) (* beta (pow i 2)))) (* 4 (/ alpha (* 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))))))))) |
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)))) |
(* 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) (* 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))))))))) |
(* 2 (/ (pow i 2) beta)) |
(* (pow i 2) (+ (* 2 (/ alpha (* beta i))) (+ (* 2 (/ 1 beta)) (/ alpha (* beta i))))) |
(* (pow i 2) (+ (* 2 (/ alpha (* beta i))) (+ (* 2 (/ 1 beta)) (+ (/ alpha (* beta i)) (/ (pow alpha 2) (* beta (pow i 2))))))) |
(* (pow i 2) (+ (* 2 (/ alpha (* beta i))) (+ (* 2 (/ 1 beta)) (+ (/ alpha (* beta i)) (/ (pow alpha 2) (* beta (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)))))))) |
(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)))) |
1/16 |
(- (+ 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))) |
(* -2 (/ (pow i 2) beta)) |
(* (pow i 2) (- (* -1 (/ (- (* -1 (/ alpha beta)) (* -4 (/ alpha beta))) i)) (* 2 (/ 1 beta)))) |
(* (pow i 2) (- (* -1 (/ (- (+ (* -1 (/ alpha beta)) (* -1 (/ (- (/ (pow alpha 2) beta) (* 2 (/ (pow alpha 2) beta))) i))) (* -4 (/ alpha beta))) i)) (* 2 (/ 1 beta)))) |
(* (pow i 2) (- (* -1 (/ (- (+ (* -1 (/ alpha beta)) (* -1 (/ (- (/ (pow alpha 2) beta) (* 2 (/ (pow alpha 2) beta))) i))) (* -4 (/ alpha beta))) i)) (* 2 (/ 1 beta)))) |
(* -2 (/ (pow i 3) beta)) |
(* -1 (* (pow i 3) (+ (* -1 (/ (+ 1 (* -1 (- (* -1 (/ alpha beta)) (* -4 (/ alpha beta))))) i)) (* 2 (/ 1 beta))))) |
(* -1 (* (pow i 3) (+ (* -1 (/ (+ 1 (+ (* -1 (- (* -1 (/ alpha beta)) (* -4 (/ alpha beta)))) (* -1 (/ (+ (* -1 alpha) (* -1 (- (/ (pow alpha 2) beta) (* 2 (/ (pow alpha 2) beta))))) i)))) i)) (* 2 (/ 1 beta))))) |
(* -1 (* (pow i 3) (+ (* -1 (/ (+ 1 (+ (* -1 (- (* -1 (/ alpha beta)) (* -4 (/ alpha beta)))) (* -1 (/ (+ (* -1 alpha) (* -1 (- (/ (pow alpha 2) beta) (* 2 (/ (pow alpha 2) beta))))) i)))) i)) (* 2 (/ 1 beta))))) |
(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))) |
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)))) |
(* 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) (* 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))) |
(* 2 (/ (pow i 2) beta)) |
(* (pow i 2) (+ (* -1 (/ (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) i)) (* 2 (/ 1 beta)))) |
(* (pow i 2) (+ (* -1 (/ (+ (* -2 (/ alpha beta)) (+ (* -1 (/ alpha beta)) (* -1 (/ (pow alpha 2) (* beta i))))) i)) (* 2 (/ 1 beta)))) |
(* (pow i 2) (+ (* -1 (/ (+ (* -2 (/ alpha beta)) (+ (* -1 (/ alpha beta)) (* -1 (/ (pow alpha 2) (* beta i))))) i)) (* 2 (/ 1 beta)))) |
(* 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)))) |
(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)))) |
| 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))))) |
(+ (* 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) (- (pow (+ alpha (* 2 i)) 2) 1))) |
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(*.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))))) |
(/ (* (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) (+ 1/4 (* 1/4 (/ (- (* 2 alpha) alpha) i)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 alpha #s(literal 2 binary64)) alpha) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i)) |
(+ (* 1/4 (* beta i)) (* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 alpha) alpha) i))))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 alpha #s(literal 2 binary64)) alpha) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i) (*.f64 (*.f64 beta i) #s(literal 1/4 binary64))) |
(+ (* 1/4 (* beta i)) (* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 alpha) alpha) i))))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 alpha #s(literal 2 binary64)) alpha) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i) (*.f64 (*.f64 beta i) #s(literal 1/4 binary64))) |
(+ (* 1/4 (* beta i)) (* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 alpha) alpha) i))))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 alpha #s(literal 2 binary64)) alpha) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i) (*.f64 (*.f64 beta i) #s(literal 1/4 binary64))) |
(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)) |
(fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) beta (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) |
(+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) |
(fma.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) beta) beta (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) |
(+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) |
(fma.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) beta) beta (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))) |
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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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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
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2 binary64))) #s(literal 2 binary64))) #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 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 (-.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))))) (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 (-.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 (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))))) |
(/ (* (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 (*.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))) |
(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 beta #s(literal 2 binary64))) 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 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) 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 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) alpha) alpha (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))) |
(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))) |
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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 #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)))) |
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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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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)))) (*.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 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))))) (-.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 (-.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 (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))) (/.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 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))))) (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 (-.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 (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))))) |
(* 2 (/ (pow i 2) beta)) |
(*.f64 (/.f64 (*.f64 i i) beta) #s(literal 2 binary64)) |
(+ (* 2 (/ (pow i 2) beta)) (* alpha (+ (* 2 (/ i beta)) (/ i beta)))) |
(fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 i beta)) alpha (*.f64 (/.f64 (*.f64 i i) beta) #s(literal 2 binary64))) |
(+ (* 2 (/ (pow i 2) beta)) (* alpha (+ (* 2 (/ i beta)) (+ (/ alpha beta) (/ i beta))))) |
(fma.f64 (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (+.f64 (/.f64 i beta) (/.f64 alpha beta))) alpha (*.f64 (/.f64 (*.f64 i i) beta) #s(literal 2 binary64))) |
(+ (* 2 (/ (pow i 2) beta)) (* alpha (+ (* 2 (/ i beta)) (+ (/ alpha beta) (/ i beta))))) |
(fma.f64 (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (+.f64 (/.f64 i beta) (/.f64 alpha beta))) alpha (*.f64 (/.f64 (*.f64 i i) beta) #s(literal 2 binary64))) |
(/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow (+ beta (* 2 i)) 2)) |
(/.f64 (*.f64 (*.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) |
(+ (* alpha (- (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (pow (+ beta (* 2 i)) 2)) (/ (* i (* (+ beta i) (* (+ (* 2 beta) (* 4 i)) (+ (* beta i) (pow i 2))))) (pow (+ beta (* 2 i)) 4)))) (/ (* i (* (+ beta i) (+ (* beta i) (pow 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 (+.f64 beta i) i) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta i) i))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) alpha (/.f64 (*.f64 (*.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta 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)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (pow (+ beta (* 2 i)) 2)) (/ (* i (* (+ beta i) (* (+ (* 2 beta) (* 4 i)) (+ (* beta i) (pow i 2))))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (pow (+ beta (* 2 i)) 2))) (/ (* i (* (+ beta i) (* (+ (* 2 beta) (* 4 i)) (+ (* beta i) (pow i 2))))) (pow (+ beta (* 2 i)) 4)))) (/ (* i (* (+ beta i) (+ (* beta i) (pow 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 (+.f64 beta i) i) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta 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) i) (*.f64 (+.f64 beta 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 (+.f64 beta i) i) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta i) i))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (/.f64 (*.f64 (*.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* i (* (+ beta i) (* (+ (* 2 beta) (* 4 i)) (+ (* beta i) (pow i 2))))) (pow (+ beta (* 2 i)) 6)) (+ (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (pow (+ beta (* 2 i)) 2)) (/ (* i (* (+ beta i) (* (+ (* 2 beta) (* 4 i)) (+ (* beta i) (pow i 2))))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2))))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2))) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (pow (+ beta (* 2 i)) 2)) (/ (* i (* (+ beta i) (* (+ (* 2 beta) (* 4 i)) (+ (* beta i) (pow i 2))))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (pow (+ beta (* 2 i)) 2))) (/ (* i (* (+ beta i) (* (+ (* 2 beta) (* 4 i)) (+ (* beta i) (pow i 2))))) (pow (+ beta (* 2 i)) 4)))) (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta 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 (+.f64 beta i) i) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta 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) i) (*.f64 (+.f64 beta 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 (+.f64 beta i) i) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta 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) i) (*.f64 (+.f64 beta 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 (+.f64 beta i) i) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta i) i))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (/.f64 (*.f64 (*.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) |
(* i (* (+ beta i) (+ (* beta i) (pow i 2)))) |
(*.f64 (*.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) i)) |
(+ (* alpha (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2))))) (* i (* (+ beta i) (+ (* beta i) (pow i 2))))) |
(fma.f64 (*.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i) alpha (*.f64 (*.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) i))) |
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))))) (* i (* (+ beta i) (+ (* beta i) (pow i 2))))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i (*.f64 (*.f64 (+.f64 beta i) i) alpha)) alpha (*.f64 (*.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) i))) |
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))))) (* i (* (+ beta i) (+ (* beta i) (pow i 2))))) |
(fma.f64 (fma.f64 (fma.f64 (+.f64 beta i) i (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) i (*.f64 (*.f64 (+.f64 beta i) i) alpha)) alpha (*.f64 (*.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta 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) |
(/ (* 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 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta)) (*.f64 (+.f64 beta i) i)) 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)) |
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(* (pow alpha 2) (+ (* -1 (/ i beta)) (* -1 (/ (+ (* -1 i) (+ (* -1 (/ (+ (* i (- (* 2 (/ (pow i 2) beta)) (* 4 (/ (pow i 2) beta)))) (pow i 2)) alpha)) (* i (- (* -1 (/ i beta)) (* -4 (/ i beta)))))) alpha)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) i (fma.f64 (*.f64 (/.f64 i beta) #s(literal 3 binary64)) i (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 i i) beta)) i (*.f64 i i)) alpha)))) alpha) #s(literal -1 binary64) (/.f64 (neg.f64 i) beta)) (*.f64 alpha alpha)) |
(* -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 (/ (+ (* beta i) (pow i 2)) alpha)))))) |
(*.f64 (neg.f64 alpha) (fma.f64 #s(literal -1 binary64) (fma.f64 i (/.f64 (+.f64 beta i) alpha) i) (neg.f64 beta))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (+ (* beta i) (pow i 2)) alpha)))))) |
(*.f64 (neg.f64 alpha) (fma.f64 #s(literal -1 binary64) (fma.f64 i (/.f64 (+.f64 beta i) alpha) i) (neg.f64 beta))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (+ (* beta i) (pow i 2)) alpha)))))) |
(*.f64 (neg.f64 alpha) (fma.f64 #s(literal -1 binary64) (fma.f64 i (/.f64 (+.f64 beta i) alpha) i) (neg.f64 beta))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(*.f64 (/.f64 (neg.f64 i) alpha) (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 i (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ 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 (*.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta 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 i (fma.f64 #s(literal 2 binary64) i beta)) (*.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 i (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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)) (+ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (/ (* (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ 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))) (pow alpha 2))) |
(*.f64 (/.f64 (neg.f64 i) alpha) (/.f64 (*.f64 #s(literal -1 binary64) (+.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)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) i (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i) (neg.f64 (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 i (fma.f64 #s(literal 2 binary64) i beta)) (*.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 i (fma.f64 #s(literal 2 binary64) i beta)) (*.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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(* -1 (* i (+ (* -1 beta) (* -1 i)))) |
(*.f64 (neg.f64 i) (*.f64 #s(literal -1 binary64) (+.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))) |
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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))) (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 (* 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)))) (* -1 (/ (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 (/ (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ 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 (*.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta 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 i (fma.f64 #s(literal 2 binary64) i beta)) (*.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 i (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 (* (+ beta i) (+ (* beta i) (pow i 2)))) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ 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))))) |
(neg.f64 (*.f64 (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) i) (*.f64 alpha alpha))) |
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha)))) |
(*.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) i (*.f64 i (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) alpha)))) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) alpha)) (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha)))) |
(*.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 (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) i)) alpha))) alpha))) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) alpha)) (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha)))) |
(*.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 (neg.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) i)) alpha))) alpha))) (*.f64 alpha alpha)) |
(* alpha i) |
(*.f64 alpha i) |
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))) |
(*.f64 (neg.f64 alpha) (*.f64 #s(literal -1 binary64) (fma.f64 i (/.f64 (+.f64 beta i) alpha) i))) |
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))) |
(*.f64 (neg.f64 alpha) (*.f64 #s(literal -1 binary64) (fma.f64 i (/.f64 (+.f64 beta i) alpha) i))) |
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha))))) |
(*.f64 (neg.f64 alpha) (*.f64 #s(literal -1 binary64) (fma.f64 i (/.f64 (+.f64 beta i) 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 (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) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 alpha (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 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))))) |
(*.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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(/ (* 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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alpha |
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(* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)) |
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(* i (- (+ alpha (/ (pow alpha 2) beta)) (* 2 (/ (pow alpha 2) beta)))) |
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(* i (- (+ alpha (+ (* i (- (+ 1 (/ alpha beta)) (* 4 (/ alpha beta)))) (/ (pow alpha 2) beta))) (* 2 (/ (pow alpha 2) beta)))) |
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(* alpha beta) |
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(+ (* alpha beta) (* i (+ alpha (+ beta i)))) |
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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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(/ (* 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))))) |
(*.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 (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) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 alpha (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 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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#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 (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) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 alpha (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 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)) |
(/.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 (-.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))))) 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 (-.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) |
(* 1/4 (* i (- (* 2 (+ alpha beta)) (+ alpha beta)))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) i) (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta)) |
(* i (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))))) |
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(* i (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta))) i) |
(* i (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta))) i) |
(pow (+ alpha beta) 2) |
(pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) |
(+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) |
(fma.f64 (*.f64 (+.f64 beta alpha) i) #s(literal 4 binary64) (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 i (+.f64 beta alpha))) 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 i (+.f64 beta alpha))) i (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) |
(/ (* 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)))) |
(*.f64 (fma.f64 (-.f64 (+.f64 (fma.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))))) 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 (-.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 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 (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) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 alpha (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 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))))) |
(*.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 (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) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 alpha (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 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) |
(/ (pow alpha 2) beta) |
(/.f64 (*.f64 alpha alpha) beta) |
(+ (* i (+ (* 2 (/ alpha beta)) (/ alpha beta))) (/ (pow alpha 2) beta)) |
(fma.f64 (*.f64 #s(literal 3 binary64) (/.f64 alpha beta)) i (/.f64 (*.f64 alpha alpha) beta)) |
(+ (* i (+ (* 2 (/ alpha beta)) (+ (* 2 (/ i beta)) (/ alpha beta)))) (/ (pow alpha 2) beta)) |
(fma.f64 (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (/.f64 alpha beta))) i (/.f64 (*.f64 alpha alpha) beta)) |
(+ (* i (+ (* 2 (/ alpha beta)) (+ (* 2 (/ i beta)) (/ alpha beta)))) (/ (pow alpha 2) beta)) |
(fma.f64 (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (/.f64 alpha beta))) i (/.f64 (*.f64 alpha alpha) beta)) |
(/ (* 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)))) |
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(* 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))))) |
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(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ i (+ (* 2 alpha) (* 2 beta)))) (pow (+ alpha beta) 2)))))) |
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(* i (+ alpha beta)) |
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(* i (+ alpha (+ beta i))) |
(*.f64 (+.f64 (+.f64 beta alpha) i) i) |
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1/16 |
#s(literal 1/16 binary64) |
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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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(* (pow i 3) (- (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (pow alpha 2) (* beta (pow i 2)))))) (+ (* 2 (/ 1 beta)) (+ (* 2 (/ (pow alpha 2) (* beta (pow i 2)))) (* 4 (/ alpha (* beta i))))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (/.f64 alpha (*.f64 i i)) (/.f64 alpha beta) (/.f64 alpha (*.f64 i i))) (/.f64 (/.f64 alpha beta) i)) (/.f64 #s(literal 1 binary64) i)) (/.f64 #s(literal 2 binary64) beta)) (fma.f64 (/.f64 #s(literal 4 binary64) i) (/.f64 alpha beta) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 i i)) (/.f64 (*.f64 alpha alpha) beta)))) (pow.f64 i #s(literal 3 binary64))) |
(* (pow i 3) (- (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (pow alpha 2) (* beta (pow i 2)))))) (+ (* 2 (/ 1 beta)) (+ (* 2 (/ (pow alpha 2) (* beta (pow i 2)))) (* 4 (/ alpha (* beta i))))))) |
(*.f64 (-.f64 (-.f64 (+.f64 (+.f64 (fma.f64 (/.f64 alpha (*.f64 i i)) (/.f64 alpha beta) (/.f64 alpha (*.f64 i i))) (/.f64 (/.f64 alpha beta) i)) (/.f64 #s(literal 1 binary64) i)) (/.f64 #s(literal 2 binary64) beta)) (fma.f64 (/.f64 #s(literal 4 binary64) i) (/.f64 alpha beta) (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 i i)) (/.f64 (*.f64 alpha alpha) beta)))) (pow.f64 i #s(literal 3 binary64))) |
(pow i 2) |
(*.f64 i i) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 (/.f64 alpha i) #s(literal 1 binary64)) (/.f64 beta i)) (*.f64 i i)) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 alpha i) #s(literal 1 binary64)) (fma.f64 (/.f64 alpha i) (/.f64 beta i) (/.f64 beta i))) (*.f64 i i)) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2)))))) |
(*.f64 (+.f64 (+.f64 (/.f64 alpha i) #s(literal 1 binary64)) (fma.f64 (/.f64 alpha i) (/.f64 beta i) (/.f64 beta 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 (+ (* 1/16 (/ (+ (* 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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1/16 |
#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)))))) |
(-.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 #s(literal 1/256 binary64) i) (/.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) (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)) (*.f64 i i)) #s(literal 2 binary64) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 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 (/ (+ (* 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))))))))) |
(-.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 (*.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)))) (pow.f64 i #s(literal 3 binary64))) #s(literal 1/256 binary64) (fma.f64 (/.f64 #s(literal 1/256 binary64) i) (/.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) (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)))) (pow.f64 i #s(literal 3 binary64))) #s(literal 1/16 binary64) (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 (+.f64 beta alpha) (/.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 i i)) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (fma.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)) #s(literal 2 binary64) (*.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)) (pow.f64 i #s(literal 3 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 (fma.f64 (/.f64 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (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)))))) |
(*.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 #s(literal 1/16 binary64) i) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) (fma.f64 (/.f64 (+.f64 beta alpha) i) (*.f64 (/.f64 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta) i) #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 (/ (* 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 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 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 (+.f64 beta alpha) i) (*.f64 (/.f64 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta) i) #s(literal 1/4 binary64)) (/.f64 (*.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 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (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)) (pow.f64 i #s(literal 3 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 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (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 beta)) (+ alpha beta)) i)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (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 beta)) (+ alpha beta)) i)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 i i)) |
(* 4 (pow i 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 i i)) |
(* (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 (+.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 4 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 (+.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 4 binary64) #s(literal 4 binary64)) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i))) (*.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) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (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)))))) |
(*.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 #s(literal 1/16 binary64) i) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) (fma.f64 (/.f64 (+.f64 beta alpha) i) (*.f64 (/.f64 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta) i) #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 (/ (* 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 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 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 (+.f64 beta alpha) i) (*.f64 (/.f64 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta) i) #s(literal 1/4 binary64)) (/.f64 (*.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 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (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)) (pow.f64 i #s(literal 3 binary64)))))))) (*.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 (+ (* 1/16 (/ (+ (* 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)))))) |
(-.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 #s(literal 1/256 binary64) i) (/.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) (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)) (*.f64 i i)) #s(literal 2 binary64) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 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 (/ (+ (* 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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(* 2 (/ (pow i 2) beta)) |
(*.f64 (/.f64 (*.f64 i i) beta) #s(literal 2 binary64)) |
(* (pow i 2) (+ (* 2 (/ alpha (* beta i))) (+ (* 2 (/ 1 beta)) (/ alpha (* beta i))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) i) (/.f64 alpha beta) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 (/.f64 alpha beta) i))) (*.f64 i i)) |
(* (pow i 2) (+ (* 2 (/ alpha (* beta i))) (+ (* 2 (/ 1 beta)) (+ (/ alpha (* beta i)) (/ (pow alpha 2) (* beta (pow i 2))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) i) (/.f64 alpha beta) (+.f64 (fma.f64 (/.f64 alpha (*.f64 i i)) (/.f64 alpha beta) (/.f64 (/.f64 alpha beta) i)) (/.f64 #s(literal 2 binary64) beta))) (*.f64 i i)) |
(* (pow i 2) (+ (* 2 (/ alpha (* beta i))) (+ (* 2 (/ 1 beta)) (+ (/ alpha (* beta i)) (/ (pow alpha 2) (* beta (pow i 2))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 2 binary64) i) (/.f64 alpha beta) (+.f64 (fma.f64 (/.f64 alpha (*.f64 i i)) (/.f64 alpha beta) (/.f64 (/.f64 alpha beta) i)) (/.f64 #s(literal 2 binary64) beta))) (*.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) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (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)))))) |
(*.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 #s(literal 1/16 binary64) i) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) (fma.f64 (/.f64 (+.f64 beta alpha) i) (*.f64 (/.f64 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta) i) #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 (/ (* 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 alpha i) (/.f64 beta 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 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 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 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)) (pow.f64 i #s(literal 4 binary64))) |
(pow i 2) |
(*.f64 i i) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 (/.f64 alpha i) #s(literal 1 binary64)) (/.f64 beta i)) (*.f64 i i)) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 (/.f64 alpha i) #s(literal 1 binary64)) (/.f64 beta i)) (*.f64 i i)) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 (/.f64 alpha i) #s(literal 1 binary64)) (/.f64 beta 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))) |
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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))) |
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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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(+ 1/16 (* -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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(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i 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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(* 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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(* 4 (pow i 2)) |
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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)))) |
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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))) |
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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))) |
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(* 2 (/ (pow i 2) beta)) |
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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 (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 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 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) (neg.f64 (*.f64 (+.f64 beta alpha) (*.f64 (/.f64 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta) i) #s(literal 1/4 binary64)))))) 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 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (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 (*.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)) (*.f64 (neg.f64 (+.f64 beta alpha)) (*.f64 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta) #s(literal 1/4 binary64))))))) (fma.f64 (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta) i) #s(literal 1/4 binary64))) #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)) (*.f64 (neg.f64 (+.f64 beta alpha)) (*.f64 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta) #s(literal 1/4 binary64))))) (+.f64 beta alpha)) i)))) i))) i) #s(literal -1 binary64) #s(literal 1/4 binary64)) (*.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 alpha i) (/.f64 beta 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 (fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 alpha (/.f64 beta i) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i)) (neg.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i) #s(literal -1 binary64) #s(literal 1 binary64)) (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 (fma.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (/.f64 (fma.f64 alpha (/.f64 (*.f64 (+.f64 beta alpha) beta) i) (neg.f64 (*.f64 #s(literal -1 binary64) (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))) i))) i) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 i #s(literal 4 binary64))) |
(pow i 2) |
(*.f64 i i) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 (/.f64 alpha i) #s(literal 1 binary64)) (/.f64 beta i)) (*.f64 i i)) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 (/.f64 alpha i) #s(literal 1 binary64)) (/.f64 beta i)) (*.f64 i i)) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 (/.f64 alpha i) #s(literal 1 binary64)) (/.f64 beta i)) (*.f64 i i)) |
| 4 500× | lower-*.f32 |
| 4 474× | lower-*.f64 |
| 3 904× | lower-fma.f32 |
| 3 894× | lower-fma.f64 |
| 3 266× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 688 |
| 0 | 106 | 590 |
| 1 | 478 | 571 |
| 2 | 4571 | 571 |
| 0 | 8243 | 536 |
| 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)) |
(-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta)) |
(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 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta)))) |
(fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta))) |
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta)))) (*.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 #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 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (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 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (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 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) 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 i) (+.f64 (+.f64 alpha i) i)) beta) |
(/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta)))) (*.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)) (fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta)))) |
(*.f64 i (+.f64 (+.f64 alpha 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) i) (pow.f64 beta #s(literal -2 binary64)))) |
(*.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) (pow.f64 beta #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 alpha i) i) (pow.f64 beta #s(literal -2 binary64))) |
(*.f64 (/.f64 i beta) (/.f64 (+.f64 alpha i) beta)) |
(*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)) |
(*.f64 (+.f64 alpha i) (/.f64 (/.f64 i beta) beta)) |
(*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta))) |
(*.f64 (+.f64 alpha i) (pow.f64 (*.f64 beta (/.f64 beta i)) #s(literal -1 binary64))) |
(*.f64 i (/.f64 (+.f64 alpha i) (*.f64 beta beta))) |
(*.f64 i (pow.f64 (*.f64 beta (/.f64 beta (+.f64 alpha i))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 beta (*.f64 (/.f64 (+.f64 alpha i) beta) i)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha i) i)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 beta i) (/.f64 beta (+.f64 alpha i))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 beta (+.f64 alpha i)) (/.f64 beta i)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 i) (/.f64 (+.f64 alpha i) beta)) (neg.f64 beta)) |
(/.f64 (*.f64 (neg.f64 (+.f64 alpha i)) (/.f64 i beta)) (neg.f64 beta)) |
(/.f64 (*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) (neg.f64 beta)) |
(/.f64 (*.f64 (/.f64 i beta) #s(literal 1 binary64)) (/.f64 beta (+.f64 alpha i))) |
(/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) (neg.f64 i)) (neg.f64 beta)) |
(/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) #s(literal 1 binary64)) (/.f64 beta i)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i)) (neg.f64 beta)) |
(/.f64 (neg.f64 (*.f64 (+.f64 alpha i) i)) (neg.f64 (*.f64 beta beta))) |
(/.f64 (*.f64 (neg.f64 i) (neg.f64 (+.f64 alpha i))) (pow.f64 (neg.f64 beta) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 i) (+.f64 alpha i)) (*.f64 (neg.f64 beta) beta)) |
(/.f64 (*.f64 (neg.f64 i) #s(literal 1 binary64)) (*.f64 (neg.f64 beta) (/.f64 beta (+.f64 alpha i)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 alpha i))) (*.f64 (/.f64 beta i) (neg.f64 beta))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 alpha i)) (*.f64 (/.f64 beta i) beta)) |
(/.f64 (*.f64 i (neg.f64 (+.f64 alpha i))) (*.f64 beta (neg.f64 beta))) |
(/.f64 (*.f64 i #s(literal 1 binary64)) (*.f64 beta (/.f64 beta (+.f64 alpha i)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 alpha i)) (neg.f64 i)) (pow.f64 (neg.f64 beta) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (+.f64 alpha i)) #s(literal 1 binary64)) (*.f64 (neg.f64 beta) (/.f64 beta i))) |
(/.f64 (*.f64 (neg.f64 (+.f64 alpha i)) i) (*.f64 (neg.f64 beta) beta)) |
(/.f64 (*.f64 (+.f64 alpha i) (neg.f64 i)) (*.f64 beta (neg.f64 beta))) |
(/.f64 (*.f64 (+.f64 alpha i) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta i))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 i)) (*.f64 (/.f64 beta (+.f64 alpha i)) (neg.f64 beta))) |
(/.f64 (*.f64 #s(literal 1 binary64) i) (*.f64 (/.f64 beta (+.f64 alpha i)) beta)) |
(/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta) |
(/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 beta beta)) |
(/.f64 (/.f64 i beta) (/.f64 beta (+.f64 alpha i))) |
(/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i)) |
(/.f64 #s(literal 1 binary64) (/.f64 beta (*.f64 (/.f64 (+.f64 alpha i) beta) i))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha i) i))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta i) (/.f64 beta (+.f64 alpha i)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 alpha i)) (/.f64 beta i))) |
(*.f64 (pow.f64 (/.f64 beta (*.f64 (+.f64 alpha i) (-.f64 alpha i))) #s(literal -1 binary64)) (pow.f64 (-.f64 alpha i) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 beta (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 beta #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 alpha i) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 beta #s(literal -1 binary64)) (+.f64 alpha i)) |
(*.f64 (neg.f64 (+.f64 alpha i)) (pow.f64 (neg.f64 beta) #s(literal -1 binary64))) |
(*.f64 (+.f64 alpha i) (pow.f64 beta #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha i) beta)) |
(pow.f64 (/.f64 (/.f64 beta (+.f64 alpha i)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 beta (+.f64 alpha i)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (+.f64 alpha i) (-.f64 alpha i)) (pow.f64 beta #s(literal -1 binary64))) (-.f64 alpha i)) |
(/.f64 (*.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 beta #s(literal -1 binary64))) (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 alpha i))) (neg.f64 (neg.f64 beta))) |
(/.f64 (*.f64 (+.f64 alpha i) #s(literal 1 binary64)) beta) |
(/.f64 (*.f64 (*.f64 (+.f64 alpha i) (-.f64 alpha i)) #s(literal 1 binary64)) (*.f64 (-.f64 alpha i) beta)) |
(/.f64 (*.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)) beta)) |
(/.f64 (*.f64 (+.f64 alpha i) (-.f64 alpha i)) (*.f64 beta (-.f64 alpha i))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 beta (+.f64 alpha i)))) |
(/.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (*.f64 beta (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)))) |
(/.f64 (neg.f64 (+.f64 alpha i)) (neg.f64 beta)) |
(/.f64 (+.f64 alpha i) beta) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 beta (+.f64 alpha i)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 alpha i))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 alpha i)) beta)) |
(neg.f64 (/.f64 (+.f64 alpha i) (neg.f64 beta))) |
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 alpha i))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 alpha i) (-.f64 alpha i)) (pow.f64 (-.f64 alpha i) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 alpha i) (*.f64 (+.f64 alpha i) (-.f64 alpha i))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)) (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 i i) (*.f64 alpha alpha)) (-.f64 i alpha)) |
(/.f64 (neg.f64 (*.f64 (+.f64 alpha i) (-.f64 alpha i))) (neg.f64 (-.f64 alpha i))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)))) |
(/.f64 (*.f64 (+.f64 alpha i) (-.f64 alpha i)) (-.f64 alpha i)) |
(/.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 i i (-.f64 (*.f64 alpha alpha) (*.f64 alpha i)))) |
(/.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha i) (*.f64 (+.f64 alpha i) (-.f64 alpha i)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)) (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) |
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha i)) (/.f64 (*.f64 i i) (-.f64 alpha i))) |
(+.f64 alpha i) |
(+.f64 i alpha) |
(*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (neg.f64 alpha) beta) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 (neg.f64 alpha) beta)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) (pow.f64 (-.f64 (neg.f64 alpha) beta) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (-.f64 (neg.f64 alpha) beta) (-.f64 (-.f64 (neg.f64 alpha) beta) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 (neg.f64 alpha) beta)) (-.f64 (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (neg.f64 alpha) beta) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
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(+.f64 (*.f64 (*.f64 (*.f64 (+.f64 beta alpha) i) i) (+.f64 (+.f64 beta alpha) i)) (*.f64 (*.f64 (fma.f64 i i (*.f64 beta alpha)) i) (+.f64 (+.f64 beta alpha) i))) |
(+.f64 (*.f64 (*.f64 (*.f64 beta alpha) i) (+.f64 (+.f64 beta alpha) i)) (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 beta alpha) i) (+.f64 (+.f64 beta alpha) i))) |
(*.f64 (+.f64 (+.f64 beta alpha) i) i) |
(*.f64 i (+.f64 (+.f64 beta alpha) i)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i)) i) (-.f64 (+.f64 beta alpha) i)) |
(/.f64 (*.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) i) (fma.f64 i (-.f64 i (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) |
(/.f64 (*.f64 i (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i))) (-.f64 (+.f64 beta alpha) i)) |
(/.f64 (*.f64 i (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (fma.f64 i (-.f64 i (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 beta alpha) i) #s(literal 2 binary64)) (pow.f64 i #s(literal 4 binary64))) (-.f64 (*.f64 (+.f64 beta alpha) i) (*.f64 i i))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 beta alpha) i) #s(literal 3 binary64)) (pow.f64 i #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 beta alpha) i) #s(literal 2 binary64)) (-.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 beta alpha) i) (*.f64 i i))))) |
(fma.f64 (exp.f64 (log.f64 i)) (exp.f64 (log.f64 i)) (*.f64 (+.f64 beta alpha) i)) |
(fma.f64 (+.f64 beta alpha) i (*.f64 i i)) |
(fma.f64 alpha i (*.f64 (+.f64 beta i) i)) |
(fma.f64 alpha i (*.f64 i (+.f64 beta i))) |
(fma.f64 i (+.f64 beta alpha) (*.f64 i i)) |
(fma.f64 i alpha (*.f64 (+.f64 beta i) i)) |
(fma.f64 i alpha (*.f64 i (+.f64 beta i))) |
(fma.f64 i i (*.f64 (+.f64 beta alpha) i)) |
(+.f64 (*.f64 alpha i) (*.f64 (+.f64 beta i) i)) |
(+.f64 (*.f64 alpha i) (*.f64 i (+.f64 beta i))) |
(+.f64 (*.f64 (+.f64 beta alpha) i) (*.f64 i i)) |
(+.f64 (*.f64 i i) (*.f64 (+.f64 beta alpha) i)) |
Compiled 142 982 to 6 372 computations (95.5% saved)
33 alts after pruning (31 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 313 | 29 | 2 342 |
| Fresh | 8 | 2 | 10 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 324 | 33 | 2 357 |
| Status | Accuracy | Program |
|---|---|---|
| 40.3% | (/.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))) | |
| 40.3% | (/.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -2 binary64))) (*.f64 (+.f64 (+.f64 beta alpha) i) i)) (+.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))) | |
| 18.2% | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta)))) (*.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 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.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)))) (*.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))) | |
| ▶ | 18.2% | (/.f64 (/.f64 #s(approx (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (*.f64 (*.f64 (+.f64 beta i) 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))) |
| 40.4% | (/.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 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.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))) | |
| 24.6% | (/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))) (fma.f64 #s(literal 2 binary64) i (+.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))) | |
| 19.4% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ 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))) | |
| 39.0% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ 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))) | |
| 14.6% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (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 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) (* 2 i)) (+.f64 beta alpha))) #s(literal 1 binary64))) | |
| 18.8% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (*.f64 i #s(approx (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (neg.f64 (/.f64 (*.f64 alpha 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))) | |
| 28.5% | (/.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)) #s(approx (+ (+ alpha beta) (* 2 i)) (*.f64 (neg.f64 beta) (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) #s(literal -1 binary64) #s(literal -1 binary64))))) #s(literal 1 binary64))) | |
| 33.5% | (/.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)) (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 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| 14.7% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) 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))) | |
| 14.1% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 i i) 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))) | |
| 23.2% | (/.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 (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))) (-.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))) | |
| ▶ | 33.5% | (/.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 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (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))) |
| 30.6% | #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) (/.f64 beta i))) | |
| 30.6% | #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 (+.f64 alpha i) beta) i) beta)) | |
| 16.3% | #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)) (/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 beta beta))) | |
| ▶ | 23.7% | #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 #s(literal 1 binary64)) (*.f64 beta (/.f64 beta (+.f64 alpha i))))) |
| 16.3% | #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)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha i) i)))) | |
| 30.1% | #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(literal 1 binary64) (/.f64 beta (*.f64 (/.f64 (+.f64 alpha i) beta) i)))) | |
| ▶ | 62.6% | #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(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 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))) (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))) (+.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))) |
| ✓ | 30.6% | #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) (/.f64 i beta))) |
| 18.4% | #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 (+.f64 alpha i) (-.f64 alpha i)) (*.f64 beta (-.f64 alpha i))) (/.f64 i beta))) | |
| 23.4% | #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 alpha i) (/.f64 (/.f64 i beta) beta))) | |
| 29.0% | #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 (exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 alpha i))) #s(literal -1 binary64))) (/.f64 i beta))) | |
| 28.9% | #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(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))) | |
| 11.7% | #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 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))) | |
| 29.1% | #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 (+.f64 (/.f64 i (*.f64 beta alpha)) (/.f64 #s(literal 1 binary64) beta)) alpha)) (/.f64 i beta))) | |
| ▶ | 17.0% | #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 i (/.f64 (+.f64 alpha i) (*.f64 beta beta)))) |
| ✓ | 70.9% | #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 1 830 to 1 003 computations (45.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(approx (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (*.f64 (*.f64 (+.f64 beta i) 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)))) | |
| 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 | 384 | (/.f64 (/.f64 #s(approx (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (*.f64 (*.f64 (+.f64 beta i) 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))) | |
| 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 | 320 | (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) | |
| cost-diff | 384 | (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta) | |
| cost-diff | 0 | (*.f64 beta (/.f64 beta (+.f64 alpha i))) | |
| cost-diff | 0 | (/.f64 (*.f64 i #s(literal 1 binary64)) (*.f64 beta (/.f64 beta (+.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 i #s(literal 1 binary64)) (*.f64 beta (/.f64 beta (+.f64 alpha i))))) | |
| cost-diff | 320 | (*.f64 i #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 beta beta) | |
| cost-diff | 0 | (+.f64 alpha i) | |
| cost-diff | 0 | (*.f64 i (/.f64 (+.f64 alpha 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)) (*.f64 i (/.f64 (+.f64 alpha i) (*.f64 beta beta)))) | |
| cost-diff | 512 | (*.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))) (+.f64 beta alpha)) | |
| cost-diff | 704 | (/.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))) (+.f64 beta alpha)) i) | |
| cost-diff | 1408 | (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) | |
| cost-diff | 7168 | (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))) |
| 9 560× | lower-fma.f32 |
| 9 554× | lower-fma.f64 |
| 3 712× | lower-*.f32 |
| 3 682× | lower-*.f64 |
| 2 824× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 1295 |
| 0 | 142 | 1282 |
| 1 | 342 | 1192 |
| 2 | 1203 | 1052 |
| 3 | 6109 | 948 |
| 0 | 8205 | 883 |
| 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)) (-.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 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))) (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))) (+.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))) |
(-.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 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))) (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))) (+.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)) |
#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 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))) (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))) (+.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) |
(-.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 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))) (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))) (+.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)))) |
(-.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 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i) #s(literal 1/16 binary64)) |
(/.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i) |
(neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) |
(fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) |
beta |
alpha |
(pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) |
(+.f64 beta alpha) |
#s(literal 2 binary64) |
i |
(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 2 binary64) (+.f64 beta alpha)) |
(*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)) |
#s(literal -1/8 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))) (+.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))) |
(/.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))) (+.f64 beta alpha)) i) |
(*.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))) (+.f64 beta alpha)) |
#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)) |
(/.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) |
(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)) |
#s(literal 1 binary64) |
#s(literal 4 binary64) |
(*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64)) |
#s(literal 20 binary64) |
#s(literal -1/256 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 i (/.f64 (+.f64 alpha i) (*.f64 beta beta)))) |
(*.f64 i (/.f64 (+.f64 alpha i) (*.f64 beta beta))) |
i |
(/.f64 (+.f64 alpha i) (*.f64 beta beta)) |
(+.f64 alpha i) |
alpha |
(*.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 i #s(literal 1 binary64)) (*.f64 beta (/.f64 beta (+.f64 alpha i))))) |
(/.f64 (*.f64 i #s(literal 1 binary64)) (*.f64 beta (/.f64 beta (+.f64 alpha i)))) |
(*.f64 i #s(literal 1 binary64)) |
i |
#s(literal 1 binary64) |
(*.f64 beta (/.f64 beta (+.f64 alpha i))) |
beta |
(/.f64 beta (+.f64 alpha i)) |
(+.f64 alpha i) |
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) (+.f64 i (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (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 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (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 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta))) i)) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta))) i) |
(*.f64 #s(literal 1/4 binary64) (+.f64 i (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta))) |
#s(literal 1/4 binary64) |
(+.f64 i (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta)) |
i |
(-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta) |
(fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) |
(+.f64 beta alpha) |
beta |
alpha |
#s(literal 2 binary64) |
(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 #s(approx (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (*.f64 (*.f64 (+.f64 beta i) 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 #s(approx (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (*.f64 (*.f64 (+.f64 beta i) 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)))) |
#s(approx (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (*.f64 (*.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) i))) |
(*.f64 (*.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) i)) |
(*.f64 (+.f64 beta i) i) |
(+.f64 beta i) |
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 alpha 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)) |
#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 #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 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))) (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))) (+.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))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) 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 1/16 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) (*.f64 #s(literal 1/256 binary64) (/.f64 (fma.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 24 binary64) #s(literal -4 binary64)) 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 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))) (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))) (+.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)) |
(-.f64 #s(literal 1/16 binary64) (/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) (*.f64 #s(literal 1/256 binary64) (/.f64 (fma.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 24 binary64) #s(literal -4 binary64)) i))) i)) |
#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 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))) (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))) (+.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) |
(/.f64 (fma.f64 #s(literal -1/16 binary64) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) (*.f64 #s(literal 1/256 binary64) (/.f64 (fma.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 24 binary64) #s(literal -4 binary64)) i))) i) |
(-.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 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))) (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))) (+.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)))) |
(fma.f64 #s(literal -1/16 binary64) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) (*.f64 #s(literal 1/256 binary64) (/.f64 (fma.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 24 binary64) #s(literal -4 binary64)) i))) |
(-.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 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))) |
(*.f64 #s(literal -1/16 binary64) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i)) |
(*.f64 (/.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i) #s(literal 1/16 binary64)) |
(*.f64 #s(literal -1/16 binary64) (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i)) |
(/.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i) |
(neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) |
(fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) |
beta |
alpha |
(pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) |
(+.f64 beta alpha) |
#s(literal 2 binary64) |
i |
(fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) |
#s(literal 0 binary64) |
(*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) |
(*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) |
(*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)) |
#s(literal -1/8 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))) (+.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))) |
(*.f64 #s(literal -1/256 binary64) (/.f64 (fma.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 24 binary64) #s(literal -4 binary64)) i)) |
(/.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))) (+.f64 beta alpha)) i) |
#s(literal 0 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))) (+.f64 beta alpha)) |
#s(literal 0 binary64) |
#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)) |
(*.f64 #s(literal -1/256 binary64) (/.f64 (fma.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 24 binary64) #s(literal -4 binary64)) i)) |
(/.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) |
(/.f64 (fma.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 24 binary64) #s(literal -4 binary64)) i) |
(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 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 24 binary64) #s(literal -4 binary64)) |
(-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 4 binary64) |
(*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64)) |
(*.f64 #s(literal 20 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) |
#s(literal 20 binary64) |
#s(literal -1/256 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 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 (/.f64 (/.f64 i beta) beta) (+.f64 alpha i))) |
(*.f64 i (/.f64 (+.f64 alpha i) (*.f64 beta beta))) |
(*.f64 (/.f64 (/.f64 i beta) beta) (+.f64 alpha i)) |
i |
(/.f64 (+.f64 alpha i) (*.f64 beta beta)) |
(/.f64 (/.f64 (+.f64 alpha i) beta) beta) |
(+.f64 alpha i) |
alpha |
(*.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 i #s(literal 1 binary64)) (*.f64 beta (/.f64 beta (+.f64 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 i beta) beta) (+.f64 alpha i))) |
(/.f64 (*.f64 i #s(literal 1 binary64)) (*.f64 beta (/.f64 beta (+.f64 alpha i)))) |
(*.f64 (/.f64 (/.f64 i beta) beta) (+.f64 alpha i)) |
(*.f64 i #s(literal 1 binary64)) |
i |
i |
#s(literal 1 binary64) |
(*.f64 beta (/.f64 beta (+.f64 alpha i))) |
(*.f64 (/.f64 beta (+.f64 alpha i)) beta) |
beta |
(/.f64 beta (+.f64 alpha i)) |
(+.f64 alpha i) |
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) (+.f64 i (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (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 #s(literal 1/4 binary64) i) (+.f64 (+.f64 beta i) 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))) |
#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 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (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 #s(literal 1/4 binary64) i) (+.f64 (+.f64 beta i) alpha)))) |
#s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (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) i) (+.f64 (+.f64 beta i) alpha))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta))) i) |
(*.f64 (*.f64 #s(literal 1/4 binary64) i) (+.f64 (+.f64 beta i) alpha)) |
(*.f64 #s(literal 1/4 binary64) (+.f64 i (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta))) |
(*.f64 #s(literal 1/4 binary64) (+.f64 (+.f64 beta i) alpha)) |
#s(literal 1/4 binary64) |
(+.f64 i (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta)) |
(+.f64 (+.f64 beta i) alpha) |
i |
(-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta) |
(+.f64 beta alpha) |
(fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) |
(fma.f64 #s(literal 2 binary64) beta alpha) |
(+.f64 beta alpha) |
beta |
alpha |
#s(literal 2 binary64) |
(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 #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 #s(approx (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (*.f64 (*.f64 (+.f64 beta i) 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 #s(approx (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (*.f64 (*.f64 (*.f64 (+.f64 beta i) i) i) (+.f64 beta i))) (*.f64 (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 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(/.f64 #s(approx (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (*.f64 (*.f64 (+.f64 beta i) 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 #s(approx (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (*.f64 (*.f64 (*.f64 (+.f64 beta i) i) i) (+.f64 beta i))) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
#s(approx (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (*.f64 (*.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) i))) |
#s(approx (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (*.f64 (*.f64 (*.f64 (+.f64 beta i) i) i) (+.f64 beta i))) |
(*.f64 (*.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) i)) |
(*.f64 (*.f64 (*.f64 (+.f64 beta i) i) i) (+.f64 beta i)) |
(*.f64 (+.f64 beta i) i) |
(+.f64 beta i) |
beta |
i |
(*.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) |
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 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01171875 | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) | |
| accuracy | 0.10384750976844201 | (*.f64 (*.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) i)) | |
| accuracy | 33.337131228978386 | (/.f64 (/.f64 #s(approx (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (*.f64 (*.f64 (+.f64 beta i) 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 | 45.08798317209959 | (/.f64 #s(approx (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (*.f64 (*.f64 (+.f64 beta i) 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 | 0.01953125 | (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) | |
| accuracy | 0.22063163174397277 | (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta) | |
| accuracy | 13.001906040772806 | #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 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta))) i))) | |
| accuracy | 33.337131228978386 | (/.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 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (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 i #s(literal 1 binary64)) | |
| accuracy | 0.125 | (*.f64 beta (/.f64 beta (+.f64 alpha i))) | |
| accuracy | 4.550160035590143 | (/.f64 (*.f64 i #s(literal 1 binary64)) (*.f64 beta (/.f64 beta (+.f64 alpha i)))) | |
| accuracy | 44.12327028508327 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) 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 #s(literal 1 binary64)) (*.f64 beta (/.f64 beta (+.f64 alpha i))))) | |
| accuracy | 0 | (*.f64 beta beta) | |
| accuracy | 4.2747470118328454 | (*.f64 i (/.f64 (+.f64 alpha i) (*.f64 beta beta))) | |
| accuracy | 8.924295612479254 | (/.f64 (+.f64 alpha i) (*.f64 beta beta)) | |
| accuracy | 44.12327028508327 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) 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 i (/.f64 (+.f64 alpha i) (*.f64 beta beta)))) | |
| accuracy | 8.046430179448999 | (/.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) | |
| accuracy | 8.066795404146864 | (/.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i) | |
| accuracy | 8.383335302821699 | (-.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 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))) (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))) (+.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)))) | |
| accuracy | 18.937171959122505 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) 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 1/16 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 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))) (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))) (+.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))) |
| 298.0ms | 214× | 1 | valid |
| 38.0ms | 27× | 2 | valid |
| 10.0ms | 14× | 0 | valid |
| 1.0ms | 1× | 2 | exit |
Compiled 1 112 to 82 computations (92.6% saved)
ival-div: 84.0ms (30.3% of total)ival-mult: 83.0ms (29.9% of total)adjust: 43.0ms (15.5% of total)ival-add: 34.0ms (12.3% of total)ival-sub: 15.0ms (5.4% of total)ival-pow2: 13.0ms (4.7% of total)ival-neg: 3.0ms (1.1% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (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))) (patch (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))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (patch (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) #<representation binary64>) () ()) |
#s(alt (/.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))) (+.f64 beta alpha)) i) (patch (/.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))) (+.f64 beta alpha)) i) #<representation binary64>) () ()) |
#s(alt (*.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))) (+.f64 beta alpha)) (patch (*.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))) (+.f64 beta alpha)) #<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 i (/.f64 (+.f64 alpha 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 i (/.f64 (+.f64 alpha i) (*.f64 beta beta)))) #<representation binary64>) () ()) |
#s(alt (*.f64 i (/.f64 (+.f64 alpha i) (*.f64 beta beta))) (patch (*.f64 i (/.f64 (+.f64 alpha i) (*.f64 beta beta))) #<representation binary64>) () ()) |
#s(alt (+.f64 alpha i) (patch (+.f64 alpha i) #<representation binary64>) () ()) |
#s(alt (*.f64 beta beta) (patch (*.f64 beta beta) #<representation binary64>) () ()) |
#s(alt (*.f64 i #s(literal 1 binary64)) (patch (*.f64 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)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 i #s(literal 1 binary64)) (*.f64 beta (/.f64 beta (+.f64 alpha i))))) (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 i #s(literal 1 binary64)) (*.f64 beta (/.f64 beta (+.f64 alpha i))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 i #s(literal 1 binary64)) (*.f64 beta (/.f64 beta (+.f64 alpha i)))) (patch (/.f64 (*.f64 i #s(literal 1 binary64)) (*.f64 beta (/.f64 beta (+.f64 alpha i)))) #<representation binary64>) () ()) |
#s(alt (*.f64 beta (/.f64 beta (+.f64 alpha i))) (patch (*.f64 beta (/.f64 beta (+.f64 alpha i))) #<representation binary64>) () ()) |
#s(alt (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta) (patch (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) (patch (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) #<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 (/.f64 (/.f64 #s(approx (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (*.f64 (*.f64 (+.f64 beta i) 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 #s(approx (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (*.f64 (*.f64 (+.f64 beta i) 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 (/.f64 #s(approx (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (*.f64 (*.f64 (+.f64 beta i) 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 #s(approx (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (*.f64 (*.f64 (+.f64 beta i) 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 #s(approx (/ (/ (* (* i (+ (+ alpha beta) 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 1/16 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 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))) (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))) (+.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))) (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 #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 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))) (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))) (+.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))) #<representation binary64>) () ()) |
#s(alt (-.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 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))) (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))) (+.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)))) (patch (-.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 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))) (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))) (+.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)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i) (patch (/.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i) #<representation binary64>) () ()) |
#s(alt (/.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) (patch (/.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) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 alpha i) (*.f64 beta beta)) (patch (/.f64 (+.f64 alpha i) (*.f64 beta 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 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (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 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (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 #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 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (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 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta))) i))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) i)) (patch (*.f64 (*.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) 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 |
|---|
#s(alt (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) (taylor 0 beta) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (- (pow alpha 2) 1)) (+ (* 20 (pow alpha 2)) (* beta (+ (* 8 alpha) (* 40 alpha))))) (taylor 0 beta) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (- (pow alpha 2) 1)) (+ (* 20 (pow alpha 2)) (* beta (+ (* 8 alpha) (+ (* 24 beta) (* 40 alpha)))))) (taylor 0 beta) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 4 (- (pow alpha 2) 1)) (+ (* 20 (pow alpha 2)) (* beta (+ (* 8 alpha) (+ (* 24 beta) (* 40 alpha)))))) (taylor 0 beta) (#s(alt (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))) (patch (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))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/8 alpha) (* 1/8 alpha)) (taylor 0 beta) (#s(alt (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (patch (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/8 alpha) (* 1/8 alpha)) (taylor 0 beta) (#s(alt (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (patch (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/8 alpha) (* 1/8 alpha)) (taylor 0 beta) (#s(alt (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (patch (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/8 alpha) (* 1/8 alpha)) (taylor 0 beta) (#s(alt (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (patch (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i) (taylor 0 beta) (#s(alt (/.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))) (+.f64 beta alpha)) i) (patch (/.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))) (+.f64 beta alpha)) i) #<representation binary64>) () ())) ()) |
#s(alt (+ (* beta (+ (* -1/8 (/ alpha i)) (* 1/8 (/ alpha i)))) (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) (taylor 0 beta) (#s(alt (/.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))) (+.f64 beta alpha)) i) (patch (/.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))) (+.f64 beta alpha)) i) #<representation binary64>) () ())) ()) |
#s(alt (+ (* beta (+ (* -1/8 (/ alpha i)) (* 1/8 (/ alpha i)))) (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) (taylor 0 beta) (#s(alt (/.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))) (+.f64 beta alpha)) i) (patch (/.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))) (+.f64 beta alpha)) i) #<representation binary64>) () ())) ()) |
#s(alt (+ (* beta (+ (* -1/8 (/ alpha i)) (* 1/8 (/ alpha i)))) (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) (taylor 0 beta) (#s(alt (/.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))) (+.f64 beta alpha)) i) (patch (/.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))) (+.f64 beta alpha)) i) #<representation binary64>) () ())) ()) |
#s(alt (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (taylor 0 beta) (#s(alt (*.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))) (+.f64 beta alpha)) (patch (*.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))) (+.f64 beta alpha)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* beta (+ (* -1/8 alpha) (* 1/8 alpha)))) (taylor 0 beta) (#s(alt (*.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))) (+.f64 beta alpha)) (patch (*.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))) (+.f64 beta alpha)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* beta (+ (* -1/8 alpha) (* 1/8 alpha)))) (taylor 0 beta) (#s(alt (*.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))) (+.f64 beta alpha)) (patch (*.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))) (+.f64 beta alpha)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* beta (+ (* -1/8 alpha) (* 1/8 alpha)))) (taylor 0 beta) (#s(alt (*.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))) (+.f64 beta alpha)) (patch (*.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))) (+.f64 beta alpha)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (taylor 0 beta) (#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 i (/.f64 (+.f64 alpha 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 i (/.f64 (+.f64 alpha i) (*.f64 beta beta)))) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 26.0ms | i | @ | -inf | ((+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) (/ (/ (* (* i (+ (+ alpha beta) 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 i) (* beta beta))) (+ alpha i) (* beta beta) (* 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 1) (* beta (/ beta (+ alpha i)))) (* beta (/ beta (+ alpha i))) (- (+ (* (+ beta alpha) 2) (neg alpha)) beta) (+ (* (+ beta alpha) 2) (neg alpha)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ 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)) (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) (/ (+ alpha 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)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* (+ beta i) i) (* (+ beta i) i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) |
| 21.0ms | beta | @ | -inf | ((+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) (/ (/ (* (* i (+ (+ alpha beta) 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 i) (* beta beta))) (+ alpha i) (* beta beta) (* 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 1) (* beta (/ beta (+ alpha i)))) (* beta (/ beta (+ alpha i))) (- (+ (* (+ beta alpha) 2) (neg alpha)) beta) (+ (* (+ beta alpha) 2) (neg alpha)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ 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)) (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) (/ (+ alpha 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)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* (+ beta i) i) (* (+ beta i) i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) |
| 12.0ms | alpha | @ | inf | ((+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) (/ (/ (* (* i (+ (+ alpha beta) 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 i) (* beta beta))) (+ alpha i) (* beta beta) (* 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 1) (* beta (/ beta (+ alpha i)))) (* beta (/ beta (+ alpha i))) (- (+ (* (+ beta alpha) 2) (neg alpha)) beta) (+ (* (+ beta alpha) 2) (neg alpha)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ 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)) (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) (/ (+ alpha 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)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* (+ beta i) i) (* (+ beta i) i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) |
| 6.0ms | beta | @ | 0 | ((+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) (/ (/ (* (* i (+ (+ alpha beta) 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 i) (* beta beta))) (+ alpha i) (* beta beta) (* 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 1) (* beta (/ beta (+ alpha i)))) (* beta (/ beta (+ alpha i))) (- (+ (* (+ beta alpha) 2) (neg alpha)) beta) (+ (* (+ beta alpha) 2) (neg alpha)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ 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)) (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) (/ (+ alpha 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)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* (+ beta i) i) (* (+ beta i) i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) |
| 6.0ms | beta | @ | inf | ((+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) (/ (/ (* (* i (+ (+ alpha beta) 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 i) (* beta beta))) (+ alpha i) (* beta beta) (* 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 1) (* beta (/ beta (+ alpha i)))) (* beta (/ beta (+ alpha i))) (- (+ (* (+ beta alpha) 2) (neg alpha)) beta) (+ (* (+ beta alpha) 2) (neg alpha)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ 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)) (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) (/ (+ alpha 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)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* (+ beta i) i) (* (+ beta i) i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) |
| 1× | egg-herbie |
| 6 972× | lower-*.f64 |
| 6 972× | lower-*.f32 |
| 6 836× | lower-fma.f64 |
| 6 836× | lower-fma.f32 |
| 4 142× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2061 | 47012 |
| 1 | 7326 | 46976 |
| 0 | 8620 | 43057 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) |
(+ (* 4 (- (pow alpha 2) 1)) (+ (* 20 (pow alpha 2)) (* beta (+ (* 8 alpha) (* 40 alpha))))) |
(+ (* 4 (- (pow alpha 2) 1)) (+ (* 20 (pow alpha 2)) (* beta (+ (* 8 alpha) (+ (* 24 beta) (* 40 alpha)))))) |
(+ (* 4 (- (pow alpha 2) 1)) (+ (* 20 (pow alpha 2)) (* beta (+ (* 8 alpha) (+ (* 24 beta) (* 40 alpha)))))) |
(+ (* -1/8 alpha) (* 1/8 alpha)) |
(+ (* -1/8 alpha) (* 1/8 alpha)) |
(+ (* -1/8 alpha) (* 1/8 alpha)) |
(+ (* -1/8 alpha) (* 1/8 alpha)) |
(/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i) |
(+ (* beta (+ (* -1/8 (/ alpha i)) (* 1/8 (/ alpha i)))) (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) |
(+ (* beta (+ (* -1/8 (/ alpha i)) (* 1/8 (/ alpha i)))) (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) |
(+ (* beta (+ (* -1/8 (/ alpha i)) (* 1/8 (/ alpha i)))) (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) |
(* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) |
(+ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* beta (+ (* -1/8 alpha) (* 1/8 alpha)))) |
(+ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* beta (+ (* -1/8 alpha) (* 1/8 alpha)))) |
(+ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* beta (+ (* -1/8 alpha) (* 1/8 alpha)))) |
(/ (* (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)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(pow beta 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)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (pow beta 2) (+ alpha i)) |
(/ (pow beta 2) (+ alpha i)) |
(/ (pow beta 2) (+ alpha i)) |
(/ (pow beta 2) (+ alpha i)) |
(- (* 2 alpha) alpha) |
(- (+ beta (* 2 alpha)) alpha) |
(- (+ beta (* 2 alpha)) alpha) |
(- (+ beta (* 2 alpha)) alpha) |
(- (* 2 alpha) alpha) |
(- (+ (* 2 alpha) (* 2 beta)) alpha) |
(- (+ (* 2 alpha) (* 2 beta)) alpha) |
(- (+ (* 2 alpha) (* 2 beta)) alpha) |
(- (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) |
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(pow i 4) |
(+ (* 2 (* beta (pow i 3))) (pow i 4)) |
(+ (* beta (+ (* 2 (pow i 3)) (* beta (pow i 2)))) (pow i 4)) |
(+ (* beta (+ (* 2 (pow i 3)) (* beta (pow i 2)))) (pow i 4)) |
(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)) |
(* 24 (pow beta 2)) |
(* (pow beta 2) (+ 24 (+ (* 8 (/ alpha beta)) (* 40 (/ alpha beta))))) |
(* (pow beta 2) (+ 24 (+ (* 4 (/ (- (pow alpha 2) 1) (pow beta 2))) (+ (* 8 (/ alpha beta)) (+ (* 20 (/ (pow alpha 2) (pow beta 2))) (* 40 (/ alpha beta))))))) |
(* (pow beta 2) (+ 24 (+ (* 4 (/ (- (pow alpha 2) 1) (pow beta 2))) (+ (* 8 (/ alpha beta)) (+ (* 20 (/ (pow alpha 2) (pow beta 2))) (* 40 (/ alpha beta))))))) |
(+ (* -1/8 alpha) (* 1/8 alpha)) |
(+ (* -1/8 alpha) (* 1/8 alpha)) |
(+ (* -1/8 alpha) (* 1/8 alpha)) |
(+ (* -1/8 alpha) (* 1/8 alpha)) |
(/ (* beta (+ (* -1/8 alpha) (* 1/8 alpha))) i) |
(* beta (+ (* -1/8 (/ alpha i)) (+ (* 1/8 (/ alpha i)) (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* beta i))))) |
(* beta (+ (* -1/8 (/ alpha i)) (+ (* 1/8 (/ alpha i)) (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* beta i))))) |
(* beta (+ (* -1/8 (/ alpha i)) (+ (* 1/8 (/ alpha i)) (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* beta i))))) |
(* beta (+ (* -1/8 alpha) (* 1/8 alpha))) |
(* beta (+ (* -1/8 alpha) (+ (* 1/8 alpha) (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) beta)))) |
(* beta (+ (* -1/8 alpha) (+ (* 1/8 alpha) (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) beta)))) |
(* beta (+ (* -1/8 alpha) (+ (* 1/8 alpha) (/ (* alpha (+ (* -1/8 alpha) (* 1/8 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)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha 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)) |
(/ (pow beta 2) (+ alpha i)) |
(/ (pow beta 2) (+ alpha i)) |
(/ (pow beta 2) (+ alpha i)) |
(/ (pow beta 2) (+ alpha i)) |
beta |
(* beta (- (+ 1 (* 2 (/ alpha beta))) (/ alpha beta))) |
(* beta (- (+ 1 (* 2 (/ alpha beta))) (/ alpha beta))) |
(* beta (- (+ 1 (* 2 (/ alpha beta))) (/ alpha beta))) |
(* 2 beta) |
(* beta (- (+ 2 (* 2 (/ alpha beta))) (/ alpha beta))) |
(* beta (- (+ 2 (* 2 (/ alpha beta))) (/ alpha beta))) |
(* beta (- (+ 2 (* 2 (/ alpha 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)))) |
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 (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (pow beta 2)) (/ (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) beta))) (+ (/ (* 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 (+ (* alpha i) (+ (pow i 2) (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)) (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* alpha i) (+ (pow i 2) (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 (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (pow beta 2)) (/ (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) beta)))) (+ (/ (* 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 (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(* i (+ alpha i)) |
(- (+ (* i (+ alpha i)) (/ (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) |
(- (+ (* i (+ alpha i)) (+ (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (pow beta 2)) (/ (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) beta))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (pow beta 2)) (/ (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) beta)))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* alpha i) (+ (pow i 2) (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)) |
(* 1/32 (/ (pow beta 2) i)) |
(* (pow beta 2) (- (+ (* -1/16 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) beta)) (* 1/32 (/ 1 i))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta i))) (* -1/256 (/ (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))) beta))))) |
(* (pow beta 2) (- (+ (* -1/16 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) beta)) (+ (* -1/16 (/ (pow alpha 2) (* (pow beta 2) i))) (* 1/32 (/ 1 i)))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* (pow beta 2) i))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta i))) (+ (* -1/8 (/ alpha (pow beta 2))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) (pow beta 2))) (+ (* -1/256 (/ (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))) beta)) (* 1/8 (/ alpha (pow beta 2)))))))))) |
(* (pow beta 2) (- (+ (* -1/16 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) beta)) (+ (* -1/16 (/ (pow alpha 2) (* (pow beta 2) i))) (* 1/32 (/ 1 i)))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* (pow beta 2) i))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta i))) (+ (* -1/8 (/ alpha (pow beta 2))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) (pow beta 2))) (+ (* -1/256 (/ (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))) beta)) (* 1/8 (/ alpha (pow beta 2)))))))))) |
(* -1 (/ (pow beta 2) i)) |
(* (pow beta 2) (- (* -1 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) beta)) (/ 1 i))) |
(* (pow beta 2) (- (+ (* -1 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) beta)) (* -1 (/ (pow alpha 2) (* (pow beta 2) i)))) (/ 1 i))) |
(* (pow beta 2) (- (+ (* -1 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) beta)) (* -1 (/ (pow alpha 2) (* (pow beta 2) i)))) (/ 1 i))) |
(* 24 (/ (pow beta 2) i)) |
(* (pow beta 2) (+ (* 8 (/ alpha (* beta i))) (+ (* 40 (/ alpha (* beta i))) (* 24 (/ 1 i))))) |
(* (pow beta 2) (+ (* 4 (/ (- (pow alpha 2) 1) (* (pow beta 2) i))) (+ (* 8 (/ alpha (* beta i))) (+ (* 20 (/ (pow alpha 2) (* (pow beta 2) i))) (+ (* 40 (/ alpha (* beta i))) (* 24 (/ 1 i))))))) |
(* (pow beta 2) (+ (* 4 (/ (- (pow alpha 2) 1) (* (pow beta 2) i))) (+ (* 8 (/ alpha (* beta i))) (+ (* 20 (/ (pow alpha 2) (* (pow beta 2) i))) (+ (* 40 (/ alpha (* beta i))) (* 24 (/ 1 i))))))) |
(/ (+ alpha i) (pow beta 2)) |
(/ (+ alpha i) (pow beta 2)) |
(/ (+ alpha i) (pow beta 2)) |
(/ (+ 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)) |
(* 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 i 2)) |
(* (pow beta 2) (+ (* 2 (/ (pow i 3) beta)) (pow i 2))) |
(* (pow beta 2) (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2)))) |
(* (pow beta 2) (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 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)))))) |
(* 24 (pow beta 2)) |
(* (pow beta 2) (+ 24 (* -1 (/ (+ (* -40 alpha) (* -8 alpha)) beta)))) |
(* (pow beta 2) (+ 24 (* -1 (/ (+ (* -40 alpha) (+ (* -8 alpha) (* -1 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) beta)))) beta)))) |
(* (pow beta 2) (+ 24 (* -1 (/ (+ (* -40 alpha) (+ (* -8 alpha) (* -1 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) beta)))) beta)))) |
(+ (* -1/8 alpha) (* 1/8 alpha)) |
(+ (* -1/8 alpha) (* 1/8 alpha)) |
(+ (* -1/8 alpha) (* 1/8 alpha)) |
(+ (* -1/8 alpha) (* 1/8 alpha)) |
(/ (* beta (+ (* -1/8 alpha) (* 1/8 alpha))) i) |
(* -1 (* beta (+ (* -1 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* beta i))) (* -1 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i))))) |
(* -1 (* beta (+ (* -1 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* beta i))) (* -1 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i))))) |
(* -1 (* beta (+ (* -1 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* beta i))) (* -1 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i))))) |
(* beta (+ (* -1/8 alpha) (* 1/8 alpha))) |
(* -1 (* beta (+ (* -1 (+ (* -1/8 alpha) (* 1/8 alpha))) (* -1 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) beta))))) |
(* -1 (* beta (+ (* -1 (+ (* -1/8 alpha) (* 1/8 alpha))) (* -1 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) beta))))) |
(* -1 (* beta (+ (* -1 (+ (* -1/8 alpha) (* 1/8 alpha))) (* -1 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) 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)) |
(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)) |
(/ (pow beta 2) (+ alpha i)) |
(/ (pow beta 2) (+ alpha i)) |
(/ (pow beta 2) (+ alpha i)) |
(/ (pow beta 2) (+ alpha i)) |
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))) |
(* 2 beta) |
(* -1 (* beta (- (* -1 (/ (- (* 2 alpha) alpha) beta)) 2))) |
(* -1 (* beta (- (* -1 (/ (- (* 2 alpha) alpha) beta)) 2))) |
(* -1 (* beta (- (* -1 (/ (- (* 2 alpha) alpha) beta)) 2))) |
(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 (+ (* alpha i) (pow i 2))) (* (+ 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 (/ (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (+ (* alpha i) (pow i 2))) (* (+ 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 (+ (* alpha i) (pow i 2))) (* (+ 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)) (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (+ (* alpha i) (pow i 2))) (* (+ 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)) (+ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (/ (* (- (* i (+ (* -1 (+ (* alpha i) (pow i 2))) (* (+ 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 (+ (* alpha i) (pow i 2))) (* (+ 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 (+ (* alpha i) (pow i 2))) (* (+ 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 (+ (* alpha i) (pow i 2))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (+ (* alpha i) (pow i 2))) (* (+ 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 (+ (* alpha i) (pow i 2))) (* (+ 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)) (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (+ (* alpha i) (pow i 2))) (* (+ 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 (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* -1 (+ (* alpha i) (pow i 2))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (+ (* alpha i) (pow i 2))) (* (+ 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 (+ (* alpha i) (pow i 2))) (* (+ 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)) |
(* 1/32 (/ (pow beta 2) i)) |
(* (pow beta 2) (+ (* -1 (/ (- (* -1/16 (+ (* -2 (/ alpha i)) (* -1 (/ alpha i)))) (+ (* -1/256 (+ (* -40 (/ alpha i)) (* -8 (/ alpha i)))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i)))) beta)) (* 1/32 (/ 1 i)))) |
(* (pow beta 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow alpha 2) i)) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) (+ (* -1/8 alpha) (+ (* -1/256 (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i)))) (* 1/8 alpha))))) beta)) (* -1/16 (+ (* -2 (/ alpha i)) (* -1 (/ alpha i))))) (+ (* -1/256 (+ (* -40 (/ alpha i)) (* -8 (/ alpha i)))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i)))) beta)) (* 1/32 (/ 1 i)))) |
(* (pow beta 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow alpha 2) i)) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) (+ (* -1/8 alpha) (+ (* -1/256 (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i)))) (* 1/8 alpha))))) beta)) (* -1/16 (+ (* -2 (/ alpha i)) (* -1 (/ alpha i))))) (+ (* -1/256 (+ (* -40 (/ alpha i)) (* -8 (/ alpha i)))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i)))) beta)) (* 1/32 (/ 1 i)))) |
(* -1 (/ (pow beta 2) i)) |
(* (pow beta 2) (- (+ (* -2 (/ alpha (* beta i))) (* -1 (/ alpha (* beta i)))) (/ 1 i))) |
(* (pow beta 2) (- (* -1 (/ (+ (* -1 (+ (* -2 (/ alpha i)) (* -1 (/ alpha i)))) (/ (pow alpha 2) (* beta i))) beta)) (/ 1 i))) |
(* (pow beta 2) (- (* -1 (/ (+ (* -1 (+ (* -2 (/ alpha i)) (* -1 (/ alpha i)))) (/ (pow alpha 2) (* beta i))) beta)) (/ 1 i))) |
(* 24 (/ (pow beta 2) i)) |
(* (pow beta 2) (+ (* -1 (/ (+ (* -40 (/ alpha i)) (* -8 (/ alpha i))) beta)) (* 24 (/ 1 i)))) |
(* (pow beta 2) (+ (* -1 (/ (+ (* -40 (/ alpha i)) (+ (* -8 (/ alpha i)) (* -1 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) beta)))) beta)) (* 24 (/ 1 i)))) |
(* (pow beta 2) (+ (* -1 (/ (+ (* -40 (/ alpha i)) (+ (* -8 (/ alpha i)) (* -1 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) beta)))) beta)) (* 24 (/ 1 i)))) |
(/ (+ alpha i) (pow beta 2)) |
(/ (+ alpha i) (pow beta 2)) |
(/ (+ alpha i) (pow beta 2)) |
(/ (+ 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)) |
(* -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 i 2)) |
(* (pow beta 2) (+ (* 2 (/ (pow i 3) beta)) (pow i 2))) |
(* (pow beta 2) (+ (* -1 (/ (+ (* -2 (pow i 3)) (* -1 (/ (pow i 4) beta))) beta)) (pow i 2))) |
(* (pow beta 2) (+ (* -1 (/ (+ (* -2 (pow i 3)) (* -1 (/ (pow i 4) beta))) beta)) (pow i 2))) |
(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)))) |
(+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) |
(+ (* 4 (- (pow beta 2) 1)) (+ (* 20 (pow beta 2)) (* alpha (+ (* 8 beta) (* 40 beta))))) |
(+ (* 4 (- (pow beta 2) 1)) (+ (* 20 (pow beta 2)) (* alpha (+ (* 8 beta) (+ (* 24 alpha) (* 40 beta)))))) |
(+ (* 4 (- (pow beta 2) 1)) (+ (* 20 (pow beta 2)) (* alpha (+ (* 8 beta) (+ (* 24 alpha) (* 40 beta)))))) |
(+ (* -1/8 beta) (* 1/8 beta)) |
(+ (* -1/8 beta) (* 1/8 beta)) |
(+ (* -1/8 beta) (* 1/8 beta)) |
(+ (* -1/8 beta) (* 1/8 beta)) |
(/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i) |
(+ (* alpha (+ (* -1/8 (/ beta i)) (* 1/8 (/ beta i)))) (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) |
(+ (* alpha (+ (* -1/8 (/ beta i)) (* 1/8 (/ beta i)))) (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) |
(+ (* alpha (+ (* -1/8 (/ beta i)) (* 1/8 (/ beta i)))) (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) |
(* beta (+ (* -1/8 beta) (* 1/8 beta))) |
(+ (* alpha (+ (* -1/8 beta) (* 1/8 beta))) (* beta (+ (* -1/8 beta) (* 1/8 beta)))) |
(+ (* alpha (+ (* -1/8 beta) (* 1/8 beta))) (* beta (+ (* -1/8 beta) (* 1/8 beta)))) |
(+ (* alpha (+ (* -1/8 beta) (* 1/8 beta))) (* beta (+ (* -1/8 beta) (* 1/8 beta)))) |
(/ (* (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)))) |
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(- (+ (* -1/16 (/ (pow beta 2) i)) (* alpha (- (* -1/16 (+ (* 2 (/ beta i)) (/ beta i))) (+ (* -2 (+ (* -1/8 (/ beta i)) (* 1/8 (/ beta i)))) (* -1/256 (+ (* 8 (/ beta i)) (* 40 (/ beta i)))))))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (+ (* -1/8 beta) (+ (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) i)) (* 1/8 beta))))) |
(- (+ (* -1/16 (/ (pow beta 2) i)) (* alpha (- (+ (* -1/16 (+ (* 2 (/ beta i)) (/ beta i))) (* 1/32 (/ alpha i))) (+ (* -2 (+ (* -1/8 (/ beta i)) (* 1/8 (/ beta i)))) (* -1/256 (+ (* 8 (/ beta i)) (* 40 (/ beta i)))))))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (+ (* -1/8 beta) (+ (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) i)) (* 1/8 beta))))) |
(- (+ (* -1/16 (/ (pow beta 2) i)) (* alpha (- (+ (* -1/16 (+ (* 2 (/ beta i)) (/ beta i))) (* 1/32 (/ alpha i))) (+ (* -2 (+ (* -1/8 (/ beta i)) (* 1/8 (/ beta i)))) (* -1/256 (+ (* 8 (/ beta i)) (* 40 (/ beta i)))))))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (+ (* -1/8 beta) (+ (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) i)) (* 1/8 beta))))) |
(* -1 (/ (pow beta 2) i)) |
(+ (* -1 (* alpha (+ (* 2 (/ beta i)) (/ beta i)))) (* -1 (/ (pow beta 2) i))) |
(+ (* -1 (/ (pow beta 2) i)) (* alpha (+ (* -1 (+ (* 2 (/ beta i)) (/ beta i))) (* -1 (/ alpha i))))) |
(+ (* -1 (/ (pow beta 2) i)) (* alpha (+ (* -1 (+ (* 2 (/ beta i)) (/ beta i))) (* -1 (/ alpha i))))) |
(/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) i) |
(+ (* 4 (/ (- (pow beta 2) 1) i)) (+ (* 20 (/ (pow beta 2) i)) (* alpha (+ (* 8 (/ beta i)) (* 40 (/ beta i)))))) |
(+ (* 4 (/ (- (pow beta 2) 1) i)) (+ (* 20 (/ (pow beta 2) i)) (* alpha (+ (* 8 (/ beta i)) (+ (* 24 (/ alpha i)) (* 40 (/ beta i))))))) |
(+ (* 4 (/ (- (pow beta 2) 1) i)) (+ (* 20 (/ (pow beta 2) i)) (* alpha (+ (* 8 (/ beta i)) (+ (* 24 (/ alpha i)) (* 40 (/ beta i))))))) |
(/ i (pow beta 2)) |
(+ (/ alpha (pow beta 2)) (/ i (pow beta 2))) |
(+ (/ alpha (pow beta 2)) (/ i (pow beta 2))) |
(+ (/ alpha (pow beta 2)) (/ 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 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 (+ 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)) |
(* 24 (pow alpha 2)) |
(* (pow alpha 2) (+ 24 (+ (* 8 (/ beta alpha)) (* 40 (/ beta alpha))))) |
(* (pow alpha 2) (+ 24 (+ (* 4 (/ (- (pow beta 2) 1) (pow alpha 2))) (+ (* 8 (/ beta alpha)) (+ (* 20 (/ (pow beta 2) (pow alpha 2))) (* 40 (/ beta alpha))))))) |
(* (pow alpha 2) (+ 24 (+ (* 4 (/ (- (pow beta 2) 1) (pow alpha 2))) (+ (* 8 (/ beta alpha)) (+ (* 20 (/ (pow beta 2) (pow alpha 2))) (* 40 (/ beta alpha))))))) |
(+ (* -1/8 beta) (* 1/8 beta)) |
(+ (* -1/8 beta) (* 1/8 beta)) |
(+ (* -1/8 beta) (* 1/8 beta)) |
(+ (* -1/8 beta) (* 1/8 beta)) |
(/ (* alpha (+ (* -1/8 beta) (* 1/8 beta))) i) |
(* alpha (+ (* -1/8 (/ beta i)) (+ (* 1/8 (/ beta i)) (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* alpha i))))) |
(* alpha (+ (* -1/8 (/ beta i)) (+ (* 1/8 (/ beta i)) (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* alpha i))))) |
(* alpha (+ (* -1/8 (/ beta i)) (+ (* 1/8 (/ beta i)) (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* alpha i))))) |
(* alpha (+ (* -1/8 beta) (* 1/8 beta))) |
(* alpha (+ (* -1/8 beta) (+ (* 1/8 beta) (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) alpha)))) |
(* alpha (+ (* -1/8 beta) (+ (* 1/8 beta) (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) alpha)))) |
(* alpha (+ (* -1/8 beta) (+ (* 1/8 beta) (/ (* beta (+ (* -1/8 beta) (* 1/8 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)) |
(/ (* 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 |
(* 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))))) |
(/ (pow beta 2) alpha) |
(/ (+ (* -1 (/ (* (pow beta 2) i) alpha)) (pow beta 2)) alpha) |
(/ (- (+ (/ (* (pow beta 2) (pow i 2)) (pow alpha 2)) (pow beta 2)) (/ (* (pow beta 2) i) alpha)) alpha) |
(/ (- (+ (* -1 (/ (* (pow beta 2) (pow i 3)) (pow alpha 3))) (pow beta 2)) (+ (* -1 (/ (* (pow beta 2) (pow i 2)) (pow alpha 2))) (/ (* (pow beta 2) i) alpha))) alpha) |
alpha |
(* alpha (- (+ 1 (* 2 (/ beta alpha))) (/ beta alpha))) |
(* alpha (- (+ 1 (* 2 (/ beta alpha))) (/ beta alpha))) |
(* alpha (- (+ 1 (* 2 (/ beta alpha))) (/ beta alpha))) |
alpha |
(* alpha (+ 1 (* 2 (/ beta alpha)))) |
(* alpha (+ 1 (* 2 (/ beta alpha)))) |
(* alpha (+ 1 (* 2 (/ 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)))) |
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 (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) alpha))) (+ (/ (* 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 (+ (* beta i) (+ (pow i 2) (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)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* beta i) (+ (pow i 2) (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 (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) alpha)))) (+ (/ (* 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 (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(* i (+ beta i)) |
(- (+ (* i (+ beta i)) (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha)) |
(- (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) alpha))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) alpha)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* beta i) (+ (pow i 2) (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)) |
(* 1/32 (/ (pow alpha 2) i)) |
(* (pow alpha 2) (- (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) alpha)) (* 1/32 (/ 1 i))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha i))) (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) alpha))))) |
(* (pow alpha 2) (- (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) alpha)) (+ (* -1/16 (/ (pow beta 2) (* (pow alpha 2) i))) (* 1/32 (/ 1 i)))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* (pow alpha 2) i))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha i))) (+ (* -1/8 (/ beta (pow alpha 2))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) (pow alpha 2))) (+ (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) alpha)) (* 1/8 (/ beta (pow alpha 2)))))))))) |
(* (pow alpha 2) (- (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) alpha)) (+ (* -1/16 (/ (pow beta 2) (* (pow alpha 2) i))) (* 1/32 (/ 1 i)))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* (pow alpha 2) i))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha i))) (+ (* -1/8 (/ beta (pow alpha 2))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) (pow alpha 2))) (+ (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) alpha)) (* 1/8 (/ beta (pow alpha 2)))))))))) |
(* -1 (/ (pow alpha 2) i)) |
(* (pow alpha 2) (- (* -1 (/ (+ (* 2 (/ beta i)) (/ beta i)) alpha)) (/ 1 i))) |
(* (pow alpha 2) (- (+ (* -1 (/ (+ (* 2 (/ beta i)) (/ beta i)) alpha)) (* -1 (/ (pow beta 2) (* (pow alpha 2) i)))) (/ 1 i))) |
(* (pow alpha 2) (- (+ (* -1 (/ (+ (* 2 (/ beta i)) (/ beta i)) alpha)) (* -1 (/ (pow beta 2) (* (pow alpha 2) i)))) (/ 1 i))) |
(* 24 (/ (pow alpha 2) i)) |
(* (pow alpha 2) (+ (* 8 (/ beta (* alpha i))) (+ (* 40 (/ beta (* alpha i))) (* 24 (/ 1 i))))) |
(* (pow alpha 2) (+ (* 4 (/ (- (pow beta 2) 1) (* (pow alpha 2) i))) (+ (* 8 (/ beta (* alpha i))) (+ (* 20 (/ (pow beta 2) (* (pow alpha 2) i))) (+ (* 40 (/ beta (* alpha i))) (* 24 (/ 1 i))))))) |
(* (pow alpha 2) (+ (* 4 (/ (- (pow beta 2) 1) (* (pow alpha 2) i))) (+ (* 8 (/ beta (* alpha i))) (+ (* 20 (/ (pow beta 2) (* (pow alpha 2) i))) (+ (* 40 (/ beta (* alpha i))) (* 24 (/ 1 i))))))) |
(/ alpha (pow beta 2)) |
(* alpha (+ (/ 1 (pow beta 2)) (/ i (* alpha (pow beta 2))))) |
(* alpha (+ (/ 1 (pow beta 2)) (/ i (* alpha (pow beta 2))))) |
(* alpha (+ (/ 1 (pow beta 2)) (/ i (* 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)) |
(* 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)))))) |
(* 24 (pow alpha 2)) |
(* (pow alpha 2) (+ 24 (* -1 (/ (+ (* -40 beta) (* -8 beta)) alpha)))) |
(* (pow alpha 2) (+ 24 (* -1 (/ (+ (* -40 beta) (+ (* -8 beta) (* -1 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) alpha)))) alpha)))) |
(* (pow alpha 2) (+ 24 (* -1 (/ (+ (* -40 beta) (+ (* -8 beta) (* -1 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) alpha)))) alpha)))) |
(+ (* -1/8 beta) (* 1/8 beta)) |
(+ (* -1/8 beta) (* 1/8 beta)) |
(+ (* -1/8 beta) (* 1/8 beta)) |
(+ (* -1/8 beta) (* 1/8 beta)) |
(/ (* alpha (+ (* -1/8 beta) (* 1/8 beta))) i) |
(* -1 (* alpha (+ (* -1 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* alpha i))) (* -1 (/ (+ (* -1/8 beta) (* 1/8 beta)) i))))) |
(* -1 (* alpha (+ (* -1 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* alpha i))) (* -1 (/ (+ (* -1/8 beta) (* 1/8 beta)) i))))) |
(* -1 (* alpha (+ (* -1 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* alpha i))) (* -1 (/ (+ (* -1/8 beta) (* 1/8 beta)) i))))) |
(* alpha (+ (* -1/8 beta) (* 1/8 beta))) |
(* -1 (* alpha (+ (* -1 (+ (* -1/8 beta) (* 1/8 beta))) (* -1 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) alpha))))) |
(* -1 (* alpha (+ (* -1 (+ (* -1/8 beta) (* 1/8 beta))) (* -1 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) alpha))))) |
(* -1 (* alpha (+ (* -1 (+ (* -1/8 beta) (* 1/8 beta))) (* -1 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) 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 |
(* -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))))))) |
(/ (pow beta 2) alpha) |
(* -1 (/ (+ (* -1 (pow beta 2)) (/ (* (pow beta 2) i) alpha)) alpha)) |
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow beta 2) (pow i 2)) alpha) (* (pow beta 2) i)) alpha)) (* -1 (pow beta 2))) alpha)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow beta 2) (pow i 3)) alpha) (* (pow beta 2) (pow i 2))) alpha)) (* (pow beta 2) i)) alpha)) (* -1 (pow beta 2))) alpha)) |
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))) |
alpha |
(* -1 (* alpha (- (* -2 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -2 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -2 (/ beta 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 (+ (* beta i) (pow i 2))) (* (+ 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 (/ (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ 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)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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)) (+ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (/ (* (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ 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)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 (* (+ beta i) (+ (* beta i) (pow i 2)))) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ 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)) |
(* 1/32 (/ (pow alpha 2) i)) |
(* (pow alpha 2) (+ (* -1 (/ (- (* -1/16 (+ (* -2 (/ beta i)) (* -1 (/ beta i)))) (+ (* -1/256 (+ (* -40 (/ beta i)) (* -8 (/ beta i)))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)))) alpha)) (* 1/32 (/ 1 i)))) |
(* (pow alpha 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow beta 2) i)) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (+ (* -1/8 beta) (+ (* -1/256 (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i)))) (* 1/8 beta))))) alpha)) (* -1/16 (+ (* -2 (/ beta i)) (* -1 (/ beta i))))) (+ (* -1/256 (+ (* -40 (/ beta i)) (* -8 (/ beta i)))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)))) alpha)) (* 1/32 (/ 1 i)))) |
(* (pow alpha 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow beta 2) i)) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (+ (* -1/8 beta) (+ (* -1/256 (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i)))) (* 1/8 beta))))) alpha)) (* -1/16 (+ (* -2 (/ beta i)) (* -1 (/ beta i))))) (+ (* -1/256 (+ (* -40 (/ beta i)) (* -8 (/ beta i)))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)))) alpha)) (* 1/32 (/ 1 i)))) |
(* -1 (/ (pow alpha 2) i)) |
(* (pow alpha 2) (- (+ (* -2 (/ beta (* alpha i))) (* -1 (/ beta (* alpha i)))) (/ 1 i))) |
(* (pow alpha 2) (- (* -1 (/ (+ (* -1 (+ (* -2 (/ beta i)) (* -1 (/ beta i)))) (/ (pow beta 2) (* alpha i))) alpha)) (/ 1 i))) |
(* (pow alpha 2) (- (* -1 (/ (+ (* -1 (+ (* -2 (/ beta i)) (* -1 (/ beta i)))) (/ (pow beta 2) (* alpha i))) alpha)) (/ 1 i))) |
(* 24 (/ (pow alpha 2) i)) |
(* (pow alpha 2) (+ (* -1 (/ (+ (* -40 (/ beta i)) (* -8 (/ beta i))) alpha)) (* 24 (/ 1 i)))) |
(* (pow alpha 2) (+ (* -1 (/ (+ (* -40 (/ beta i)) (+ (* -8 (/ beta i)) (* -1 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) alpha)))) alpha)) (* 24 (/ 1 i)))) |
(* (pow alpha 2) (+ (* -1 (/ (+ (* -40 (/ beta i)) (+ (* -8 (/ beta i)) (* -1 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) alpha)))) alpha)) (* 24 (/ 1 i)))) |
(/ alpha (pow beta 2)) |
(* -1 (* alpha (- (* -1 (/ i (* alpha (pow beta 2)))) (/ 1 (pow beta 2))))) |
(* -1 (* alpha (- (* -1 (/ i (* alpha (pow beta 2)))) (/ 1 (pow beta 2))))) |
(* -1 (* alpha (- (* -1 (/ i (* alpha (pow beta 2)))) (/ 1 (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)) |
(* -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)))) |
(/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i) |
(/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i) |
(/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i) |
(/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ 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))))) |
(/ (* 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 |
(+ alpha i) |
(+ alpha i) |
(+ alpha i) |
i |
i |
i |
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 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)))) |
(/ (pow beta 2) alpha) |
(+ (* -1 (/ (* (pow beta 2) i) (pow alpha 2))) (/ (pow beta 2) alpha)) |
(+ (* i (- (/ (* (pow beta 2) i) (pow alpha 3)) (/ (pow beta 2) (pow alpha 2)))) (/ (pow beta 2) alpha)) |
(+ (* i (- (* i (- (* -1 (/ (* (pow beta 2) i) (pow alpha 4))) (* -1 (/ (pow beta 2) (pow alpha 3))))) (/ (pow beta 2) (pow alpha 2)))) (/ (pow beta 2) 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))))) |
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(/ (* 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)))) |
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(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
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(/ (- (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) i) |
(/ (- (+ (* -1 (* i (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) i) |
(/ (- (+ (* -1 (* i (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) i) |
(/ (- (+ (* -1 (* i (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) i) |
(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) |
(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) |
(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) |
(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) |
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i) |
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i) |
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i) |
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i) |
(/ alpha (pow beta 2)) |
(+ (/ alpha (pow beta 2)) (/ i (pow beta 2))) |
(+ (/ alpha (pow beta 2)) (/ i (pow beta 2))) |
(+ (/ alpha (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))))) |
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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 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 beta 2) (pow i 2)) |
(* (pow i 2) (+ (* 2 (* beta i)) (pow beta 2))) |
(* (pow i 2) (+ (* i (+ i (* 2 beta))) (pow beta 2))) |
(* (pow i 2) (+ (* i (+ i (* 2 beta))) (pow 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)) |
(/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i) |
(/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i) |
(/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i) |
(/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ 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 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 |
(* i (+ 1 (/ alpha i))) |
(* i (+ 1 (/ alpha i))) |
(* i (+ 1 (/ alpha i))) |
i |
i |
i |
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 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 beta 2) i) |
(/ (+ (* -1 (/ (* alpha (pow beta 2)) i)) (pow beta 2)) i) |
(/ (- (+ (/ (* (pow alpha 2) (pow beta 2)) (pow i 2)) (pow beta 2)) (/ (* alpha (pow beta 2)) i)) i) |
(/ (- (+ (* -1 (/ (* (pow alpha 3) (pow beta 2)) (pow i 3))) (pow beta 2)) (+ (* -1 (/ (* (pow alpha 2) (pow beta 2)) (pow i 2))) (/ (* alpha (pow beta 2)) i))) 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))))))))) |
(* -1 (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) |
(- (* -1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) (+ (* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i)) (+ (* -1/8 (+ alpha beta)) (+ (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)) (* 1/8 (+ alpha beta)))))) |
(- (* -1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) (+ (* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i)) (+ (* -1/8 (+ alpha beta)) (+ (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)) (* 1/8 (+ alpha beta)))))) |
(- (* -1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) (+ (* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i)) (+ (* -1/8 (+ alpha beta)) (+ (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)) (* 1/8 (+ alpha beta)))))) |
(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) |
(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) |
(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) |
(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) |
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i) |
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i) |
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i) |
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i) |
(/ i (pow beta 2)) |
(* i (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* i (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* i (+ (/ 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))))))))) |
(* 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 (/ beta i)))) |
(* (pow i 4) (+ 1 (+ (* 2 (/ beta i)) (/ (pow beta 2) (pow i 2))))) |
(* (pow i 4) (+ 1 (+ (* 2 (/ beta i)) (/ (pow 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))))) |
(/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i) |
(/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i) |
(/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i) |
(/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) 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 |
(* -1 (* i (- (* -1 (/ alpha i)) 1))) |
(* -1 (* i (- (* -1 (/ alpha i)) 1))) |
(* -1 (* i (- (* -1 (/ alpha i)) 1))) |
i |
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)))) |
(/ (pow beta 2) i) |
(* -1 (/ (+ (* -1 (pow beta 2)) (/ (* alpha (pow beta 2)) i)) i)) |
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow alpha 2) (pow beta 2)) i) (* alpha (pow beta 2))) i)) (* -1 (pow beta 2))) i)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow alpha 3) (pow beta 2)) i) (* (pow alpha 2) (pow beta 2))) i)) (* alpha (pow beta 2))) i)) (* -1 (pow beta 2))) 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))) |
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))) |
(* -1 (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) |
(- (* -1 (/ (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))) (* 2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))))) i)) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) |
(- (* -1 (/ (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))) (* 2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))))) i)) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) |
(- (* -1 (/ (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))) (* 2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))))) i)) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) |
(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) |
(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) |
(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) |
(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) |
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i) |
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i) |
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i) |
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i) |
(/ i (pow beta 2)) |
(* -1 (* i (- (* -1 (/ alpha (* (pow beta 2) i))) (/ 1 (pow beta 2))))) |
(* -1 (* i (- (* -1 (/ alpha (* (pow beta 2) i))) (/ 1 (pow beta 2))))) |
(* -1 (* i (- (* -1 (/ alpha (* (pow beta 2) i))) (/ 1 (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))) |
(* 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 (/ beta i)))) |
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) i))) i)))) |
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) 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 |
|---|
(+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) |
(fma.f64 #s(literal 20 binary64) (*.f64 alpha alpha) (*.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) #s(literal 4 binary64))) |
(+ (* 4 (- (pow alpha 2) 1)) (+ (* 20 (pow alpha 2)) (* beta (+ (* 8 alpha) (* 40 alpha))))) |
(fma.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) #s(literal 4 binary64) (fma.f64 (*.f64 alpha #s(literal 48 binary64)) beta (*.f64 #s(literal 20 binary64) (*.f64 alpha alpha)))) |
(+ (* 4 (- (pow alpha 2) 1)) (+ (* 20 (pow alpha 2)) (* beta (+ (* 8 alpha) (+ (* 24 beta) (* 40 alpha)))))) |
(fma.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal 8 binary64) alpha (fma.f64 #s(literal 24 binary64) beta (*.f64 #s(literal 40 binary64) alpha))) beta (*.f64 #s(literal 20 binary64) (*.f64 alpha alpha)))) |
(+ (* 4 (- (pow alpha 2) 1)) (+ (* 20 (pow alpha 2)) (* beta (+ (* 8 alpha) (+ (* 24 beta) (* 40 alpha)))))) |
(fma.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) #s(literal 4 binary64) (fma.f64 (fma.f64 #s(literal 8 binary64) alpha (fma.f64 #s(literal 24 binary64) beta (*.f64 #s(literal 40 binary64) alpha))) beta (*.f64 #s(literal 20 binary64) (*.f64 alpha alpha)))) |
(+ (* -1/8 alpha) (* 1/8 alpha)) |
(*.f64 alpha #s(literal 0 binary64)) |
(+ (* -1/8 alpha) (* 1/8 alpha)) |
(*.f64 alpha #s(literal 0 binary64)) |
(+ (* -1/8 alpha) (* 1/8 alpha)) |
(*.f64 alpha #s(literal 0 binary64)) |
(+ (* -1/8 alpha) (* 1/8 alpha)) |
(*.f64 alpha #s(literal 0 binary64)) |
(/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i) |
(/.f64 (*.f64 (*.f64 alpha #s(literal 0 binary64)) alpha) i) |
(+ (* beta (+ (* -1/8 (/ alpha i)) (* 1/8 (/ alpha i)))) (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) |
(fma.f64 (*.f64 (/.f64 alpha i) #s(literal 0 binary64)) beta (/.f64 (*.f64 (*.f64 alpha #s(literal 0 binary64)) alpha) i)) |
(+ (* beta (+ (* -1/8 (/ alpha i)) (* 1/8 (/ alpha i)))) (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) |
(fma.f64 (*.f64 (/.f64 alpha i) #s(literal 0 binary64)) beta (/.f64 (*.f64 (*.f64 alpha #s(literal 0 binary64)) alpha) i)) |
(+ (* beta (+ (* -1/8 (/ alpha i)) (* 1/8 (/ alpha i)))) (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) |
(fma.f64 (*.f64 (/.f64 alpha i) #s(literal 0 binary64)) beta (/.f64 (*.f64 (*.f64 alpha #s(literal 0 binary64)) alpha) i)) |
(* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) |
(*.f64 (*.f64 alpha #s(literal 0 binary64)) alpha) |
(+ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* beta (+ (* -1/8 alpha) (* 1/8 alpha)))) |
(*.f64 (*.f64 alpha #s(literal 0 binary64)) (+.f64 beta alpha)) |
(+ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* beta (+ (* -1/8 alpha) (* 1/8 alpha)))) |
(*.f64 (*.f64 alpha #s(literal 0 binary64)) (+.f64 beta alpha)) |
(+ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* beta (+ (* -1/8 alpha) (* 1/8 alpha)))) |
(*.f64 (*.f64 alpha #s(literal 0 binary64)) (+.f64 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 (fma.f64 (+.f64 i alpha) i (pow.f64 (+.f64 i alpha) #s(literal 2 binary64))) 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 (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 (fma.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #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 (-.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 i #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) (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 (fma.f64 (+.f64 i alpha) i (pow.f64 (+.f64 i alpha) #s(literal 2 binary64))) 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 (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 (fma.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 4 binary64))))) (fma.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 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 (fma.f64 (+.f64 i alpha) i (pow.f64 (+.f64 i alpha) #s(literal 2 binary64))) 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 (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 (fma.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #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 (fma.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (/.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 (-.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 i #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) (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 (fma.f64 (+.f64 i alpha) i (pow.f64 (+.f64 i alpha) #s(literal 2 binary64))) 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 (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 (fma.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)))) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 4 binary64))))) (fma.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 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 (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 (fma.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 i 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(/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (pow (+ alpha (* 2 i)) 2)) |
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)) |
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(+ (* 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 i alpha) i (pow.f64 (+.f64 i alpha) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) alpha)) (pow.f64 (+.f64 i alpha) #s(literal 2 binary64))) (*.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) alpha) #s(literal 4 binary64)))) beta (/.f64 (*.f64 (pow.f64 (+.f64 i alpha) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) 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))) |
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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 4) |
(pow.f64 i #s(literal 4 binary64)) |
(+ (* 2 (* beta (pow i 3))) (pow i 4)) |
(fma.f64 (*.f64 (pow.f64 i #s(literal 3 binary64)) beta) #s(literal 2 binary64) (pow.f64 i #s(literal 4 binary64))) |
(+ (* beta (+ (* 2 (pow i 3)) (* beta (pow i 2)))) (pow i 4)) |
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(+ (* beta (+ (* 2 (pow i 3)) (* beta (pow i 2)))) (pow i 4)) |
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(pow (+ alpha (* 2 i)) 2) |
(pow.f64 (fma.f64 i #s(literal 2 binary64) 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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(* 24 (pow beta 2)) |
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(* (pow beta 2) (+ 24 (+ (* 8 (/ alpha beta)) (* 40 (/ alpha beta))))) |
(*.f64 (fma.f64 (/.f64 alpha beta) #s(literal 48 binary64) #s(literal 24 binary64)) (*.f64 beta beta)) |
(* (pow beta 2) (+ 24 (+ (* 4 (/ (- (pow alpha 2) 1) (pow beta 2))) (+ (* 8 (/ alpha beta)) (+ (* 20 (/ (pow alpha 2) (pow beta 2))) (* 40 (/ alpha beta))))))) |
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(* (pow beta 2) (+ 24 (+ (* 4 (/ (- (pow alpha 2) 1) (pow beta 2))) (+ (* 8 (/ alpha beta)) (+ (* 20 (/ (pow alpha 2) (pow beta 2))) (* 40 (/ alpha beta))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) beta) (/.f64 #s(literal 4 binary64) beta) (fma.f64 (/.f64 alpha beta) #s(literal 8 binary64) (fma.f64 (/.f64 #s(literal 20 binary64) beta) (/.f64 (*.f64 alpha alpha) beta) (*.f64 (/.f64 alpha beta) #s(literal 40 binary64))))) #s(literal 24 binary64)) (*.f64 beta beta)) |
(+ (* -1/8 alpha) (* 1/8 alpha)) |
(*.f64 alpha #s(literal 0 binary64)) |
(+ (* -1/8 alpha) (* 1/8 alpha)) |
(*.f64 alpha #s(literal 0 binary64)) |
(+ (* -1/8 alpha) (* 1/8 alpha)) |
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(+ (* -1/8 alpha) (* 1/8 alpha)) |
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(*.f64 (fma.f64 (/.f64 alpha i) #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 alpha #s(literal 0 binary64)) beta) (/.f64 alpha i))) beta) |
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(*.f64 (fma.f64 (/.f64 alpha i) #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 alpha #s(literal 0 binary64)) beta) (/.f64 alpha i))) beta) |
(* beta (+ (* -1/8 alpha) (* 1/8 alpha))) |
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(* beta (+ (* -1/8 alpha) (+ (* 1/8 alpha) (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) beta)))) |
(*.f64 (fma.f64 alpha #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 alpha #s(literal 0 binary64)) alpha) beta)) beta) |
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(*.f64 (fma.f64 alpha #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 alpha #s(literal 0 binary64)) alpha) beta)) beta) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta)) |
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(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
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(* 1/32 (/ (pow beta 2) i)) |
(*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64)) |
(* (pow beta 2) (+ (* -1 (/ (- (* -1/16 (+ (* -2 (/ alpha i)) (* -1 (/ alpha i)))) (+ (* -1/256 (+ (* -40 (/ alpha i)) (* -8 (/ alpha i)))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i)))) beta)) (* 1/32 (/ 1 i)))) |
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(/ (pow i 2) (pow beta 2)) |
(*.f64 (/.f64 i beta) (/.f64 i beta)) |
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(fma.f64 (/.f64 i beta) (/.f64 i beta) (*.f64 (/.f64 i beta) (/.f64 alpha beta))) |
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(fma.f64 (/.f64 i beta) (/.f64 i beta) (*.f64 (/.f64 i beta) (/.f64 alpha beta))) |
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2))) |
(fma.f64 (/.f64 i beta) (/.f64 i beta) (*.f64 (/.f64 i beta) (/.f64 alpha beta))) |
i |
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binary64)))) (fma.f64 (/.f64 (*.f64 (+.f64 i beta) 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 (-.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 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 i beta) i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) 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 i beta) 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 (fma.f64 i #s(literal 4 binary64) (*.f64 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 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.f64 (+.f64 i beta) i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (fma.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 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 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 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)))))) (fma.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 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 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 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)))))) (-.f64 (/.f64 (*.f64 (+.f64 i beta) 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 (+.f64 i beta) 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 (-.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 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 i beta) i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) 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 i beta) 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 (fma.f64 i #s(literal 4 binary64) (*.f64 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 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.f64 (+.f64 i beta) i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))))) (fma.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 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 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 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 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) 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 i beta) 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 (fma.f64 i #s(literal 4 binary64) (*.f64 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 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (*.f64 (+.f64 i beta) i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) alpha (*.f64 (/.f64 (*.f64 (+.f64 i beta) i) (-.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 i beta) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))) |
(/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow (+ beta (* 2 i)) 2)) |
(/.f64 (*.f64 (*.f64 (+.f64 i beta) i) (*.f64 (+.f64 i beta) i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(+ (* alpha (- (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (pow (+ beta (* 2 i)) 2)) (/ (* i (* (+ beta i) (* (+ (* 2 beta) (* 4 i)) (+ (* beta i) (pow i 2))))) (pow (+ beta (* 2 i)) 4)))) (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 i beta) i) (*.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 i beta) i))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64)))) alpha (/.f64 (*.f64 (*.f64 (+.f64 i beta) i) (*.f64 (+.f64 i beta) 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)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (pow (+ beta (* 2 i)) 2)) (/ (* i (* (+ beta i) (* (+ (* 2 beta) (* 4 i)) (+ (* beta i) (pow i 2))))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (pow (+ beta (* 2 i)) 2))) (/ (* i (* (+ beta i) (* (+ (* 2 beta) (* 4 i)) (+ (* beta i) (pow i 2))))) (pow (+ beta (* 2 i)) 4)))) (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (+.f64 i beta) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 i beta) i) (*.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 i beta) 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 i beta) i) (*.f64 (+.f64 i beta) i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 i beta) i) (*.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 i beta) i))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (/.f64 (*.f64 (*.f64 (+.f64 i beta) i) (*.f64 (+.f64 i beta) i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* i (* (+ beta i) (* (+ (* 2 beta) (* 4 i)) (+ (* beta i) (pow i 2))))) (pow (+ beta (* 2 i)) 6)) (+ (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (pow (+ beta (* 2 i)) 2)) (/ (* i (* (+ beta i) (* (+ (* 2 beta) (* 4 i)) (+ (* beta i) (pow i 2))))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2))))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2))) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (pow (+ beta (* 2 i)) 2)) (/ (* i (* (+ beta i) (* (+ (* 2 beta) (* 4 i)) (+ (* beta i) (pow i 2))))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (pow (+ beta (* 2 i)) 2))) (/ (* i (* (+ beta i) (* (+ (* 2 beta) (* 4 i)) (+ (* beta i) (pow i 2))))) (pow (+ beta (* 2 i)) 4)))) (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 i beta) i) (*.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 i beta) i))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 6 binary64))) (fma.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 i beta) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 i beta) i) (*.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 i beta) 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 i beta) i) (*.f64 (+.f64 i beta) 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 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (-.f64 (/.f64 (*.f64 (+.f64 i beta) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 i beta) i) (*.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 i beta) 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 i beta) i) (*.f64 (+.f64 i beta) i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) alpha (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 i beta) i) (*.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 i beta) i))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (/.f64 (*.f64 (*.f64 (+.f64 i beta) i) (*.f64 (+.f64 i beta) i)) (pow.f64 (fma.f64 i #s(literal 2 binary64) 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 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 i beta) #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 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) 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 (fma.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 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 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 (*.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))))) 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 i beta) #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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#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 i #s(literal 4 binary64) (*.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 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) 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 (fma.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 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 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 (*.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))))) (fma.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 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 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 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 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) 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 (fma.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 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 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)))) (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 (*.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)))))) 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 i beta) #s(literal 2 binary64)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)) |
(/.f64 (*.f64 (pow.f64 (+.f64 i beta) #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 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 i 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 i beta) #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 i beta) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 i 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 i 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 (*.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 i 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 i beta) #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 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 i 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 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 i beta) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 i 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 i 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 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 4 binary64))))) alpha (-.f64 (/.f64 (*.f64 (+.f64 i beta) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 i 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 i 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 (*.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) (pow.f64 (+.f64 i 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 i beta) #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 i #s(literal 4 binary64) (*.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 (+.f64 (fma.f64 i #s(literal 4 binary64) (*.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 (+.f64 (fma.f64 i #s(literal 4 binary64) (*.f64 beta #s(literal 2 binary64))) alpha) alpha (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))) |
(* 24 (pow alpha 2)) |
(*.f64 #s(literal 24 binary64) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ 24 (+ (* 8 (/ beta alpha)) (* 40 (/ beta alpha))))) |
(*.f64 (fma.f64 (/.f64 beta alpha) #s(literal 48 binary64) #s(literal 24 binary64)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ 24 (+ (* 4 (/ (- (pow beta 2) 1) (pow alpha 2))) (+ (* 8 (/ beta alpha)) (+ (* 20 (/ (pow beta 2) (pow alpha 2))) (* 40 (/ beta alpha))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) alpha) (/.f64 #s(literal 4 binary64) alpha) (fma.f64 (/.f64 beta alpha) #s(literal 8 binary64) (fma.f64 (/.f64 #s(literal 20 binary64) alpha) (/.f64 (*.f64 beta beta) alpha) (*.f64 (/.f64 beta alpha) #s(literal 40 binary64))))) #s(literal 24 binary64)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ 24 (+ (* 4 (/ (- (pow beta 2) 1) (pow alpha 2))) (+ (* 8 (/ beta alpha)) (+ (* 20 (/ (pow beta 2) (pow alpha 2))) (* 40 (/ beta alpha))))))) |
(*.f64 (+.f64 (fma.f64 (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) alpha) (/.f64 #s(literal 4 binary64) alpha) (fma.f64 (/.f64 beta alpha) #s(literal 8 binary64) (fma.f64 (/.f64 #s(literal 20 binary64) alpha) (/.f64 (*.f64 beta beta) alpha) (*.f64 (/.f64 beta alpha) #s(literal 40 binary64))))) #s(literal 24 binary64)) (*.f64 alpha alpha)) |
(+ (* -1/8 beta) (* 1/8 beta)) |
(*.f64 beta #s(literal 0 binary64)) |
(+ (* -1/8 beta) (* 1/8 beta)) |
(*.f64 beta #s(literal 0 binary64)) |
(+ (* -1/8 beta) (* 1/8 beta)) |
(*.f64 beta #s(literal 0 binary64)) |
(+ (* -1/8 beta) (* 1/8 beta)) |
(*.f64 beta #s(literal 0 binary64)) |
(/ (* alpha (+ (* -1/8 beta) (* 1/8 beta))) i) |
(/.f64 (*.f64 (*.f64 beta #s(literal 0 binary64)) alpha) i) |
(* alpha (+ (* -1/8 (/ beta i)) (+ (* 1/8 (/ beta i)) (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* alpha i))))) |
(*.f64 (fma.f64 (/.f64 beta i) #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 beta #s(literal 0 binary64)) alpha) (/.f64 beta i))) alpha) |
(* alpha (+ (* -1/8 (/ beta i)) (+ (* 1/8 (/ beta i)) (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* alpha i))))) |
(*.f64 (fma.f64 (/.f64 beta i) #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 beta #s(literal 0 binary64)) alpha) (/.f64 beta i))) alpha) |
(* alpha (+ (* -1/8 (/ beta i)) (+ (* 1/8 (/ beta i)) (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* alpha i))))) |
(*.f64 (fma.f64 (/.f64 beta i) #s(literal 0 binary64) (*.f64 (/.f64 (*.f64 beta #s(literal 0 binary64)) alpha) (/.f64 beta i))) alpha) |
(* alpha (+ (* -1/8 beta) (* 1/8 beta))) |
(*.f64 (*.f64 beta #s(literal 0 binary64)) alpha) |
(* alpha (+ (* -1/8 beta) (+ (* 1/8 beta) (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) alpha)))) |
(*.f64 (fma.f64 beta #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 beta #s(literal 0 binary64)) beta) alpha)) alpha) |
(* alpha (+ (* -1/8 beta) (+ (* 1/8 beta) (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) alpha)))) |
(*.f64 (fma.f64 beta #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 beta #s(literal 0 binary64)) beta) alpha)) alpha) |
(* alpha (+ (* -1/8 beta) (+ (* 1/8 beta) (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) alpha)))) |
(*.f64 (fma.f64 beta #s(literal 0 binary64) (/.f64 (*.f64 (*.f64 beta #s(literal 0 binary64)) beta) alpha)) alpha) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(*.f64 (/.f64 (+.f64 i beta) 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 i beta) i (/.f64 (*.f64 (fma.f64 (+.f64 i beta) i (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) i) alpha)) (/.f64 (*.f64 (fma.f64 i #s(literal 8 binary64) (*.f64 beta #s(literal 4 binary64))) (*.f64 (+.f64 i beta) i)) 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)) |
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(/ (* 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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(/ (- (+ (* -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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(* 1/32 (/ (pow alpha 2) i)) |
(*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 alpha alpha) i)) |
(* (pow alpha 2) (- (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) alpha)) (* 1/32 (/ 1 i))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha i))) (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) alpha))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 beta i)) alpha) #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) i)) (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (*.f64 beta #s(literal 0 binary64)) i) (*.f64 (/.f64 (*.f64 (/.f64 beta i) #s(literal 48 binary64)) alpha) #s(literal -1/256 binary64)))) (*.f64 alpha alpha)) |
(* (pow alpha 2) (- (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) alpha)) (+ (* -1/16 (/ (pow beta 2) (* (pow alpha 2) i))) (* 1/32 (/ 1 i)))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* (pow alpha 2) i))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha i))) (+ (* -1/8 (/ beta (pow alpha 2))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) (pow alpha 2))) (+ (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) alpha)) (* 1/8 (/ beta (pow alpha 2)))))))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 beta i)) alpha) #s(literal -1/16 binary64) (fma.f64 (/.f64 #s(literal -1/16 binary64) i) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 #s(literal 1/32 binary64) i))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha)) (/.f64 (*.f64 (*.f64 beta #s(literal 0 binary64)) beta) i) (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (*.f64 beta #s(literal 0 binary64)) i) (fma.f64 (/.f64 #s(literal -1/8 binary64) alpha) (/.f64 beta alpha) (fma.f64 (/.f64 #s(literal -1/256 binary64) alpha) (/.f64 (fma.f64 (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) i) #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 20 binary64))) alpha) (fma.f64 (/.f64 beta (*.f64 alpha alpha)) #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (/.f64 beta i) #s(literal 48 binary64)) alpha) #s(literal -1/256 binary64)))))))) (*.f64 alpha alpha)) |
(* (pow alpha 2) (- (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) alpha)) (+ (* -1/16 (/ (pow beta 2) (* (pow alpha 2) i))) (* 1/32 (/ 1 i)))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* (pow alpha 2) i))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha i))) (+ (* -1/8 (/ beta (pow alpha 2))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) (pow alpha 2))) (+ (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) alpha)) (* 1/8 (/ beta (pow alpha 2)))))))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 beta i)) alpha) #s(literal -1/16 binary64) (fma.f64 (/.f64 #s(literal -1/16 binary64) i) (*.f64 (/.f64 beta alpha) (/.f64 beta alpha)) (/.f64 #s(literal 1/32 binary64) i))) (fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 alpha alpha)) (/.f64 (*.f64 (*.f64 beta #s(literal 0 binary64)) beta) i) (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (*.f64 beta #s(literal 0 binary64)) i) (fma.f64 (/.f64 #s(literal -1/8 binary64) alpha) (/.f64 beta alpha) (fma.f64 (/.f64 #s(literal -1/256 binary64) alpha) (/.f64 (fma.f64 (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) i) #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 20 binary64))) alpha) (fma.f64 (/.f64 beta (*.f64 alpha alpha)) #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (/.f64 beta i) #s(literal 48 binary64)) alpha) #s(literal -1/256 binary64)))))))) (*.f64 alpha alpha)) |
(* -1 (/ (pow alpha 2) i)) |
(neg.f64 (/.f64 (*.f64 alpha alpha) i)) |
(* (pow alpha 2) (- (* -1 (/ (+ (* 2 (/ beta i)) (/ beta i)) alpha)) (/ 1 i))) |
(*.f64 (-.f64 (/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (/.f64 beta i))) alpha) (/.f64 #s(literal 1 binary64) i)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (- (+ (* -1 (/ (+ (* 2 (/ beta i)) (/ beta i)) alpha)) (* -1 (/ (pow beta 2) (* (pow alpha 2) i)))) (/ 1 i))) |
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) i) (/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (/.f64 beta i))) alpha)) (/.f64 #s(literal 1 binary64) i)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (- (+ (* -1 (/ (+ (* 2 (/ beta i)) (/ beta i)) alpha)) (* -1 (/ (pow beta 2) (* (pow alpha 2) i)))) (/ 1 i))) |
(*.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (/.f64 (*.f64 beta beta) i) (/.f64 (neg.f64 (*.f64 #s(literal 3 binary64) (/.f64 beta i))) alpha)) (/.f64 #s(literal 1 binary64) i)) (*.f64 alpha alpha)) |
(* 24 (/ (pow alpha 2) i)) |
(*.f64 (/.f64 (*.f64 alpha alpha) i) #s(literal 24 binary64)) |
(* (pow alpha 2) (+ (* 8 (/ beta (* alpha i))) (+ (* 40 (/ beta (* alpha i))) (* 24 (/ 1 i))))) |
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(* (pow alpha 2) (+ (* 4 (/ (- (pow beta 2) 1) (* (pow alpha 2) i))) (+ (* 8 (/ beta (* alpha i))) (+ (* 20 (/ (pow beta 2) (* (pow alpha 2) i))) (+ (* 40 (/ beta (* alpha i))) (* 24 (/ 1 i))))))) |
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(* (pow alpha 2) (+ (* 4 (/ (- (pow beta 2) 1) (* (pow alpha 2) i))) (+ (* 8 (/ beta (* alpha i))) (+ (* 20 (/ (pow beta 2) (* (pow alpha 2) i))) (+ (* 40 (/ beta (* alpha i))) (* 24 (/ 1 i))))))) |
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(/ alpha (pow beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(* alpha (+ (/ 1 (pow beta 2)) (/ i (* alpha (pow beta 2))))) |
(*.f64 (+.f64 (/.f64 i (*.f64 (*.f64 beta beta) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) alpha) |
(* alpha (+ (/ 1 (pow beta 2)) (/ i (* alpha (pow beta 2))))) |
(*.f64 (+.f64 (/.f64 i (*.f64 (*.f64 beta beta) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) alpha) |
(* alpha (+ (/ 1 (pow beta 2)) (/ i (* alpha (pow beta 2))))) |
(*.f64 (+.f64 (/.f64 i (*.f64 (*.f64 beta beta) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) alpha) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(*.f64 (/.f64 (+.f64 i beta) 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)) |
(*.f64 (+.f64 i beta) i) |
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha)) |
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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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(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)))))) |
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(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2)))))) |
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(* 24 (pow alpha 2)) |
(*.f64 #s(literal 24 binary64) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ 24 (* -1 (/ (+ (* -40 beta) (* -8 beta)) alpha)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 beta #s(literal -48 binary64)) alpha) #s(literal -1 binary64) #s(literal 24 binary64)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ 24 (* -1 (/ (+ (* -40 beta) (+ (* -8 beta) (* -1 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) alpha)))) alpha)))) |
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(* (pow alpha 2) (+ 24 (* -1 (/ (+ (* -40 beta) (+ (* -8 beta) (* -1 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) alpha)))) alpha)))) |
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(+ (* -1/8 beta) (* 1/8 beta)) |
(*.f64 beta #s(literal 0 binary64)) |
(+ (* -1/8 beta) (* 1/8 beta)) |
(*.f64 beta #s(literal 0 binary64)) |
(+ (* -1/8 beta) (* 1/8 beta)) |
(*.f64 beta #s(literal 0 binary64)) |
(+ (* -1/8 beta) (* 1/8 beta)) |
(*.f64 beta #s(literal 0 binary64)) |
(/ (* alpha (+ (* -1/8 beta) (* 1/8 beta))) i) |
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(* alpha (+ (* -1/8 beta) (* 1/8 beta))) |
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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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(*.f64 (/.f64 (neg.f64 i) alpha) (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) 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)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) i (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (*.f64 i i)) (fma.f64 (*.f64 #s(literal -4 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (*.f64 (neg.f64 i) (+.f64 i beta))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta))))) (*.f64 (neg.f64 i) (*.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 #s(literal -1 binary64) (+.f64 i beta)))))) alpha) #s(literal -1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (*.f64 (neg.f64 i) (+.f64 i beta))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta)))))) 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)) |
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(/ (pow beta 2) alpha) |
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alpha |
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alpha |
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(pow alpha 2) |
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(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha)))) |
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(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) i (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (*.f64 (neg.f64 i) (+.f64 i beta))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta))))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ 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 i beta)) i (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 i beta) i) (*.f64 (+.f64 i beta) i)) (fma.f64 (*.f64 #s(literal -4 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (*.f64 (neg.f64 i) (+.f64 i beta))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta))))) (*.f64 (neg.f64 i) (*.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 #s(literal -1 binary64) (+.f64 i beta)))))) alpha) #s(literal -1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (*.f64 (neg.f64 i) (+.f64 i beta))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta)))))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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)) (+ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (/ (* (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ 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 i beta)) i (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 i beta) i) (*.f64 (+.f64 i beta) i)) (fma.f64 (*.f64 #s(literal -4 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (*.f64 (neg.f64 i) (+.f64 i beta))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta))))) (*.f64 (neg.f64 i) (*.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 #s(literal -1 binary64) (+.f64 i beta)))))) alpha)) #s(literal -4 binary64) (-.f64 (fma.f64 (*.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 #s(literal -1 binary64) (+.f64 i beta))) alpha)) #s(literal -1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (*.f64 (neg.f64 i) (+.f64 i beta))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta))))) (/.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 (*.f64 (+.f64 i beta) i) (*.f64 (+.f64 i beta) i)))) (fma.f64 (*.f64 #s(literal -4 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (*.f64 (neg.f64 i) (+.f64 i beta))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta))))) (*.f64 (neg.f64 i) (*.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 #s(literal -1 binary64) (+.f64 i beta))))))) alpha) #s(literal -1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (*.f64 (neg.f64 i) (+.f64 i beta))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta)))))) alpha))) (*.f64 alpha alpha)) |
(* -1 (* i (+ (* -1 beta) (* -1 i)))) |
(*.f64 (neg.f64 i) (*.f64 #s(literal -1 binary64) (+.f64 i beta))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 i beta)) i (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (*.f64 (neg.f64 i) (+.f64 i beta))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ 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 i beta)) i (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 i beta) i) (+.f64 i beta)) i (neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (*.f64 (neg.f64 i) (+.f64 i beta))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))))) alpha) #s(literal -1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (*.f64 (neg.f64 i) (+.f64 i beta))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 (* (+ beta i) (+ (* beta i) (pow i 2)))) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ 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 i beta)) i (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 i beta) i) (+.f64 i beta)) i (neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (*.f64 (neg.f64 i) (+.f64 i beta))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))))) alpha)) #s(literal -2 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (*.f64 (neg.f64 i) (+.f64 i beta))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta))))) alpha) (*.f64 (*.f64 (+.f64 i beta) i) (*.f64 (+.f64 i beta) i))) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (*.f64 (neg.f64 i) (+.f64 i beta))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (pow.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal 2 binary64))))))) alpha) #s(literal -1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (*.f64 (neg.f64 i) (+.f64 i beta))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta)))))) alpha))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(*.f64 (/.f64 (neg.f64 i) alpha) (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) 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 i beta)) i (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (*.f64 (neg.f64 i) (+.f64 i beta))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta))))) 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 i beta)) i (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (*.f64 i i)) (fma.f64 (*.f64 #s(literal -4 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (*.f64 (neg.f64 i) (+.f64 i beta))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta))))) (*.f64 (neg.f64 i) (*.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 #s(literal -1 binary64) (+.f64 i beta)))))) alpha) #s(literal -1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (*.f64 (neg.f64 i) (+.f64 i beta))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta)))))) 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 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) i (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (*.f64 i i)) (fma.f64 (*.f64 #s(literal -4 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (*.f64 (neg.f64 i) (+.f64 i beta))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta))))) (*.f64 (neg.f64 i) (*.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 #s(literal -1 binary64) (+.f64 i beta)))))) alpha)) #s(literal -4 binary64) (-.f64 (fma.f64 (*.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 #s(literal -1 binary64) (+.f64 i beta))) alpha)) #s(literal -1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (*.f64 (neg.f64 i) (+.f64 i beta))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta))))) (/.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 i beta) #s(literal 2 binary64)) (*.f64 i i)))) (fma.f64 (*.f64 #s(literal -4 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (*.f64 (neg.f64 i) (+.f64 i beta))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta))))) (*.f64 (neg.f64 i) (*.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 #s(literal -1 binary64) (+.f64 i beta))))))) alpha) #s(literal -1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (*.f64 (neg.f64 i) (+.f64 i beta))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta)))))) alpha))) (*.f64 alpha alpha)) |
(* 1/32 (/ (pow alpha 2) i)) |
(*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 alpha alpha) i)) |
(* (pow alpha 2) (+ (* -1 (/ (- (* -1/16 (+ (* -2 (/ beta i)) (* -1 (/ beta i)))) (+ (* -1/256 (+ (* -40 (/ beta i)) (* -8 (/ beta i)))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)))) alpha)) (* 1/32 (/ 1 i)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 beta i) #s(literal -3 binary64)) #s(literal -1/16 binary64)) (fma.f64 (*.f64 (/.f64 beta i) #s(literal -48 binary64)) #s(literal -1/256 binary64) (*.f64 (/.f64 (*.f64 beta #s(literal 0 binary64)) i) #s(literal 2 binary64)))) alpha) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) i)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow beta 2) i)) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (+ (* -1/8 beta) (+ (* -1/256 (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i)))) (* 1/8 beta))))) alpha)) (* -1/16 (+ (* -2 (/ beta i)) (* -1 (/ beta i))))) (+ (* -1/256 (+ (* -40 (/ beta i)) (* -8 (/ beta i)))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)))) alpha)) (* 1/32 (/ 1 i)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (/.f64 beta i) #s(literal -3 binary64)) #s(literal -1/16 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal -1/16 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 beta #s(literal 0 binary64)) beta) i) #s(literal -2 binary64) (fma.f64 #s(literal -1/8 binary64) beta (fma.f64 (fma.f64 (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) i) #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 20 binary64))) #s(literal -1/256 binary64) (*.f64 #s(literal 1/8 binary64) beta))))) alpha))) (fma.f64 (*.f64 (/.f64 beta i) #s(literal -48 binary64)) #s(literal -1/256 binary64) (*.f64 (/.f64 (*.f64 beta #s(literal 0 binary64)) i) #s(literal 2 binary64)))) alpha) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) i)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow beta 2) i)) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (+ (* -1/8 beta) (+ (* -1/256 (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i)))) (* 1/8 beta))))) alpha)) (* -1/16 (+ (* -2 (/ beta i)) (* -1 (/ beta i))))) (+ (* -1/256 (+ (* -40 (/ beta i)) (* -8 (/ beta i)))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)))) alpha)) (* 1/32 (/ 1 i)))) |
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(* -1 (/ (pow alpha 2) i)) |
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(* 24 (/ (pow alpha 2) i)) |
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(* (pow alpha 2) (+ (* -1 (/ (+ (* -40 (/ beta i)) (+ (* -8 (/ beta i)) (* -1 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) alpha)))) alpha)) (* 24 (/ 1 i)))) |
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(* (pow alpha 2) (+ (* -1 (/ (+ (* -40 (/ beta i)) (+ (* -8 (/ beta i)) (* -1 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) alpha)))) alpha)) (* 24 (/ 1 i)))) |
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(/ alpha (pow beta 2)) |
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(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) i (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (*.f64 (neg.f64 i) (+.f64 i beta))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta))))) 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 i beta)) i (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (*.f64 i i)) (fma.f64 (*.f64 #s(literal -4 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (*.f64 (neg.f64 i) (+.f64 i beta))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta))))) (*.f64 (neg.f64 i) (*.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 #s(literal -1 binary64) (+.f64 i beta)))))) alpha) #s(literal -1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 i beta)) (+.f64 i beta) (*.f64 (neg.f64 i) (+.f64 i beta))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 #s(literal -1 binary64) (+.f64 i beta)))))) 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 (* 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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(pow alpha 2) |
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(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha)))) |
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(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(/.f64 (*.f64 (*.f64 i beta) alpha) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.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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(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(*.f64 (+.f64 (/.f64 i (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) i) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
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(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(*.f64 (+.f64 (/.f64 i (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) i) |
alpha |
(+ alpha i) |
(+.f64 i alpha) |
(+ alpha i) |
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i |
i |
i |
i |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(/.f64 (*.f64 (*.f64 i beta) alpha) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.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) (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 i beta) alpha) (+.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)))) |
(*.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 i beta) alpha) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.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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(/ (- (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) i) |
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(/ (- (+ (* -1 (* i (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) i) |
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(/ (- (+ (* -1 (* i (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) i) |
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(/ (- (+ (* -1 (* i (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) i) |
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(/.f64 (*.f64 (*.f64 i beta) alpha) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.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 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))))) i)) (fma.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) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 alpha (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 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)) |
(/.f64 (*.f64 (*.f64 i beta) alpha) (+.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)))) |
(*.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) |
(* (pow beta 2) (pow i 2)) |
(*.f64 (*.f64 beta beta) (*.f64 i i)) |
(* (pow i 2) (+ (* 2 (* beta i)) (pow beta 2))) |
(*.f64 (fma.f64 (*.f64 i beta) #s(literal 2 binary64) (*.f64 beta beta)) (*.f64 i i)) |
(* (pow i 2) (+ (* i (+ i (* 2 beta))) (pow beta 2))) |
(*.f64 (fma.f64 (fma.f64 beta #s(literal 2 binary64) i) i (*.f64 beta beta)) (*.f64 i i)) |
(* (pow i 2) (+ (* i (+ i (* 2 beta))) (pow beta 2))) |
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(pow (+ alpha beta) 2) |
(pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) |
(+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) |
(fma.f64 (*.f64 (+.f64 beta alpha) i) #s(literal 4 binary64) (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 i (+.f64 beta alpha))) 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 i (+.f64 beta alpha))) i (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) |
(/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i) |
(*.f64 (+.f64 beta alpha) (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 0 binary64)) i)) |
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(*.f64 (+.f64 beta alpha) (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 0 binary64)) i)) |
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(*.f64 (+.f64 beta alpha) (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 0 binary64)) i)) |
1/16 |
#s(literal 1/16 binary64) |
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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 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) #s(literal -1/8 binary64))) 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 (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) |
(neg.f64 (*.f64 (+.f64 beta alpha) #s(literal 0 binary64))) |
(- (* -1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) (+ (* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i)) (+ (* -1/8 (+ alpha beta)) (+ (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)) (* 1/8 (+ alpha beta)))))) |
(-.f64 (*.f64 (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal -1/16 binary64)) (fma.f64 (*.f64 (+.f64 beta alpha) (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 0 binary64)) i)) #s(literal -2 binary64) (fma.f64 (+.f64 beta alpha) #s(literal -1/8 binary64) (fma.f64 (+.f64 beta alpha) #s(literal 1/8 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))) #s(literal -1/256 binary64)) i))))) |
(- (* -1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) (+ (* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i)) (+ (* -1/8 (+ alpha beta)) (+ (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)) (* 1/8 (+ alpha beta)))))) |
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(- (* -1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) (+ (* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i)) (+ (* -1/8 (+ alpha beta)) (+ (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)) (* 1/8 (+ alpha beta)))))) |
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(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) |
(neg.f64 (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i)) |
(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) |
(neg.f64 (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i)) |
(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) |
(neg.f64 (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i)) |
(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) |
(neg.f64 (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i)) |
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i) |
(/.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) |
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i) |
(/.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) |
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i) |
(/.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) |
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i) |
(/.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) |
(/ i (pow beta 2)) |
(/.f64 i (*.f64 beta beta)) |
(* i (+ (/ 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))) i) |
(* i (+ (/ 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))) i) |
(* i (+ (/ 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))) 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 (+.f64 beta alpha) #s(literal -1/8 binary64))) 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)))))) |
(-.f64 (fma.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) 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 #s(literal 1/256 binary64) i) (/.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) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) #s(literal -1/8 binary64))) (+.f64 beta alpha)) (*.f64 i i)) #s(literal 2 binary64) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 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 (/ (+ (* 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) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) 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)))))) |
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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 4) |
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i |
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i |
i |
i |
i |
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#s(literal 1/16 binary64) |
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(* 2 i) |
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#s(literal 1/16 binary64) |
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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))) |
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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) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) 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)))) |
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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))) |
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(+ 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))) |
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(* -1 (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) |
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(- (* -1 (/ (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))) (* 2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))))) i)) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) |
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(- (* -1 (/ (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))) (* 2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))))) i)) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) |
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(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) |
(neg.f64 (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i)) |
(* -1 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) |
(neg.f64 (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i)) |
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(neg.f64 (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i)) |
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(neg.f64 (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i)) |
(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i) |
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(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i) |
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(/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i) |
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(/ i (pow beta 2)) |
(/.f64 i (*.f64 beta beta)) |
(* -1 (* i (- (* -1 (/ alpha (* (pow beta 2) i))) (/ 1 (pow beta 2))))) |
(*.f64 (neg.f64 i) (-.f64 (/.f64 (neg.f64 alpha) (*.f64 (*.f64 beta beta) i)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))) |
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(*.f64 (neg.f64 i) (-.f64 (/.f64 (neg.f64 alpha) (*.f64 (*.f64 beta beta) i)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))) |
(* -1 (* i (- (* -1 (/ alpha (* (pow beta 2) i))) (/ 1 (pow beta 2))))) |
(*.f64 (neg.f64 i) (-.f64 (/.f64 (neg.f64 alpha) (*.f64 (*.f64 beta beta) i)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))) |
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 (+.f64 beta alpha) #s(literal -1/8 binary64))) 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))) |
(fma.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i)) #s(literal 1/16 binary64) (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) #s(literal -1/8 binary64))))) (fma.f64 (*.f64 (+.f64 beta alpha) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) #s(literal -1/8 binary64))) 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))) #s(literal -1/256 binary64)) 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 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) #s(literal -1/8 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))) #s(literal -1/256 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 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) #s(literal -1/8 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))) #s(literal -1/256 binary64)))) (+.f64 beta alpha)) i) #s(literal -2 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 (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) #s(literal -1/8 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 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) #s(literal -1/8 binary64))))) 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 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) 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 (fma.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i)) #s(literal 1/4 binary64) (neg.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))))) (fma.f64 (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal -1/16 binary64) (/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) (+.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 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)) (/.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 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal -1/16 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) (+.f64 beta alpha))))))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.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 #s(literal -1 binary64) (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (fma.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal -1/16 binary64) (neg.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) (+.f64 beta alpha))))) (+.f64 beta alpha)) i)))) i))) i) #s(literal -1 binary64) #s(literal 1/4 binary64)) (*.f64 i i)) |
(pow i 4) |
(pow.f64 i #s(literal 4 binary64)) |
(* (pow i 4) (+ 1 (* 2 (/ beta i)))) |
(*.f64 (fma.f64 (/.f64 beta i) #s(literal 2 binary64) #s(literal 1 binary64)) (pow.f64 i #s(literal 4 binary64))) |
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) i))) i)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta (neg.f64 (/.f64 (*.f64 beta beta) i))) i) #s(literal -1 binary64) #s(literal 1 binary64)) (pow.f64 i #s(literal 4 binary64))) |
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -2 beta) (* -1 (/ (pow beta 2) i))) i)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -2 binary64) beta (neg.f64 (/.f64 (*.f64 beta beta) i))) i) #s(literal -1 binary64) #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 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 beta alpha) #s(literal -4 binary64) (/.f64 (neg.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i)) i) #s(literal -1 binary64) #s(literal 4 binary64)) (*.f64 i i)) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (+.f64 beta alpha) #s(literal -4 binary64) (/.f64 (neg.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i)) i) #s(literal -1 binary64) #s(literal 4 binary64)) (*.f64 i i)) |
| 4 754× | lower-*.f32 |
| 4 732× | lower-fma.f32 |
| 4 722× | lower-*.f64 |
| 4 722× | lower-fma.f64 |
| 3 270× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 798 |
| 0 | 143 | 683 |
| 1 | 704 | 641 |
| 2 | 6836 | 641 |
| 0 | 8481 | 611 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) |
(/.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))) (+.f64 beta alpha)) i) |
(*.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))) (+.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 i (/.f64 (+.f64 alpha i) (*.f64 beta beta)))) |
(*.f64 i (/.f64 (+.f64 alpha i) (*.f64 beta beta))) |
(+.f64 alpha i) |
(*.f64 beta beta) |
(*.f64 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 i #s(literal 1 binary64)) (*.f64 beta (/.f64 beta (+.f64 alpha i))))) |
(/.f64 (*.f64 i #s(literal 1 binary64)) (*.f64 beta (/.f64 beta (+.f64 alpha i)))) |
(*.f64 beta (/.f64 beta (+.f64 alpha i))) |
(-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta) |
(fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (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 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(/.f64 (/.f64 #s(approx (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (*.f64 (*.f64 (+.f64 beta i) 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 #s(approx (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (*.f64 (*.f64 (+.f64 beta i) 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)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) 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 1/16 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 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))) (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))) (+.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))) |
(-.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 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))) (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))) (+.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)))) |
(/.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i) |
(/.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) |
(/.f64 (+.f64 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)))) #s(approx (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 i (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (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 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta))) i))) |
(*.f64 (*.f64 (+.f64 beta i) 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))) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 400 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 8000 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal -20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (-.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 400 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal 8000 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 400 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 20 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal -4 binary64)))) |
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(/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (*.f64 (*.f64 (+.f64 alpha beta) #s(literal 0 binary64)) (*.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)))) (*.f64 (-.f64 beta alpha) (*.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)))) |
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(fma.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 alpha beta)) (+.f64 alpha beta) (*.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) |
(fma.f64 (*.f64 (+.f64 alpha beta) #s(literal 0 binary64)) alpha (*.f64 (*.f64 (+.f64 alpha beta) #s(literal 0 binary64)) beta)) |
(fma.f64 (*.f64 (+.f64 alpha beta) #s(literal 0 binary64)) beta (*.f64 (*.f64 (+.f64 alpha beta) #s(literal 0 binary64)) alpha)) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 alpha beta)) (+.f64 alpha beta) (*.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) |
(fma.f64 (+.f64 alpha beta) (*.f64 #s(literal 1/8 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (*.f64 #s(literal -1/8 binary64) (+.f64 alpha beta)))) |
(fma.f64 (+.f64 alpha beta) (*.f64 #s(literal -1/8 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (*.f64 #s(literal 1/8 binary64) (+.f64 alpha beta)))) |
(fma.f64 alpha (*.f64 (+.f64 alpha beta) #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 alpha beta) #s(literal 0 binary64)) beta)) |
(fma.f64 beta (*.f64 (+.f64 alpha beta) #s(literal 0 binary64)) (*.f64 (*.f64 (+.f64 alpha beta) #s(literal 0 binary64)) alpha)) |
(+.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)) (*.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) |
(+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)) (*.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) |
(+.f64 (*.f64 (+.f64 alpha beta) (*.f64 #s(literal 1/8 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 alpha beta) (*.f64 #s(literal -1/8 binary64) (+.f64 alpha beta)))) |
(+.f64 (*.f64 (+.f64 alpha beta) (*.f64 #s(literal -1/8 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 alpha beta) (*.f64 #s(literal 1/8 binary64) (+.f64 alpha beta)))) |
(+.f64 (*.f64 (*.f64 (+.f64 alpha beta) #s(literal 0 binary64)) beta) (*.f64 (*.f64 (+.f64 alpha beta) #s(literal 0 binary64)) alpha)) |
(+.f64 (*.f64 (*.f64 (+.f64 alpha beta) #s(literal 0 binary64)) alpha) (*.f64 (*.f64 (+.f64 alpha beta) #s(literal 0 binary64)) 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 (*.f64 beta beta)) (+.f64 i alpha))) |
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(*.f64 (/.f64 i (*.f64 beta beta)) (+.f64 i alpha)) |
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(*.f64 (*.f64 (*.f64 (pow.f64 beta #s(literal -2 binary64)) (+.f64 i alpha)) #s(literal 1 binary64)) i) |
(*.f64 (/.f64 i (/.f64 beta (+.f64 i alpha))) (pow.f64 beta #s(literal -1 binary64))) |
(*.f64 (pow.f64 beta #s(literal -1 binary64)) (/.f64 i (/.f64 beta (+.f64 i alpha)))) |
(*.f64 (*.f64 (+.f64 i alpha) i) (pow.f64 beta #s(literal -2 binary64))) |
(*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta)) |
(*.f64 (/.f64 i beta) (/.f64 (+.f64 i alpha) beta)) |
(*.f64 (neg.f64 i) (pow.f64 (*.f64 (neg.f64 beta) (/.f64 beta (+.f64 i alpha))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 i (*.f64 beta beta)) (+.f64 i alpha)) #s(literal 1 binary64)) |
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(*.f64 (+.f64 i alpha) (*.f64 (pow.f64 beta #s(literal -2 binary64)) i)) |
(*.f64 i (*.f64 (pow.f64 beta #s(literal -2 binary64)) (+.f64 i alpha))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 i (*.f64 beta beta)) (+.f64 i alpha))) |
(pow.f64 (/.f64 (/.f64 beta (+.f64 i alpha)) (/.f64 i beta)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 beta (+.f64 i alpha)) beta) i) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (+.f64 i alpha) i) beta) beta) |
(/.f64 (/.f64 (/.f64 i beta) beta) (pow.f64 (+.f64 i alpha) #s(literal -1 binary64))) |
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(/.f64 (*.f64 i (/.f64 (+.f64 i alpha) beta)) beta) |
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(/.f64 (/.f64 i (/.f64 beta (+.f64 i alpha))) beta) |
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(/.f64 (/.f64 i beta) (/.f64 beta (+.f64 i alpha))) |
(/.f64 (neg.f64 i) (*.f64 (neg.f64 beta) (/.f64 beta (+.f64 i alpha)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 beta (+.f64 i alpha)) (/.f64 i beta))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 beta (+.f64 i alpha)) beta) i)) |
(neg.f64 (/.f64 (neg.f64 i) (*.f64 (/.f64 beta (+.f64 i alpha)) beta))) |
(neg.f64 (/.f64 i (*.f64 (neg.f64 beta) (/.f64 beta (+.f64 i alpha))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (/.f64 beta (+.f64 i alpha)) beta) i)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 i alpha) (-.f64 alpha i)) (pow.f64 (-.f64 alpha i) #s(literal -1 binary64))) |
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(pow.f64 (/.f64 (-.f64 alpha i) (*.f64 (+.f64 i alpha) (-.f64 alpha i))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)) (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 i #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 i i) (*.f64 alpha alpha)) (-.f64 i alpha)) |
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(/.f64 (*.f64 (+.f64 i alpha) (-.f64 alpha i)) (-.f64 alpha i)) |
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(/.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 i #s(literal 3 binary64))) (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha))) |
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(fma.f64 i #s(literal 1 binary64) alpha) |
(fma.f64 #s(literal 1 binary64) i alpha) |
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha i)) (/.f64 (*.f64 i i) (-.f64 alpha i))) |
(+.f64 i alpha) |
(+.f64 alpha i) |
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(*.f64 beta beta) |
(pow.f64 beta #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 beta) #s(literal 2 binary64))) |
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(*.f64 #s(literal 1 binary64) 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 i (*.f64 beta beta)) (+.f64 i alpha))) |
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(*.f64 (/.f64 i (*.f64 beta beta)) (+.f64 i alpha)) |
(*.f64 (/.f64 (/.f64 i beta) beta) (+.f64 i alpha)) |
(*.f64 (*.f64 (*.f64 (pow.f64 beta #s(literal -2 binary64)) (+.f64 i alpha)) #s(literal 1 binary64)) i) |
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(*.f64 (*.f64 (+.f64 i alpha) i) (pow.f64 beta #s(literal -2 binary64))) |
(*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta)) |
(*.f64 (/.f64 i beta) (/.f64 (+.f64 i alpha) beta)) |
(*.f64 (neg.f64 i) (pow.f64 (*.f64 (neg.f64 beta) (/.f64 beta (+.f64 i alpha))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 i (*.f64 beta beta)) (+.f64 i alpha)) #s(literal 1 binary64)) |
(*.f64 (*.f64 (pow.f64 beta #s(literal -2 binary64)) (+.f64 i alpha)) i) |
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(*.f64 i (*.f64 (pow.f64 beta #s(literal -2 binary64)) (+.f64 i alpha))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 i (*.f64 beta beta)) (+.f64 i alpha))) |
(pow.f64 (/.f64 (/.f64 beta (+.f64 i alpha)) (/.f64 i beta)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (/.f64 beta (+.f64 i alpha)) beta) i) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (+.f64 i alpha) i) beta) beta) |
(/.f64 (/.f64 (/.f64 i beta) beta) (pow.f64 (+.f64 i alpha) #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) beta) |
(/.f64 (*.f64 (neg.f64 (+.f64 i alpha)) i) (*.f64 (neg.f64 beta) beta)) |
(/.f64 (*.f64 (/.f64 i beta) #s(literal 1 binary64)) (/.f64 beta (+.f64 i alpha))) |
(/.f64 (*.f64 i (/.f64 (+.f64 i alpha) beta)) beta) |
(/.f64 (*.f64 i (neg.f64 (+.f64 i alpha))) (*.f64 (neg.f64 beta) beta)) |
(/.f64 (/.f64 i (/.f64 beta (+.f64 i alpha))) beta) |
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(/.f64 (*.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (*.f64 (*.f64 (+.f64 i beta) i) i)) (fma.f64 i (-.f64 i beta) (*.f64 beta beta))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 i beta) i)) #s(literal 2 binary64))) |
(*.f64 (pow.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 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) |
(*.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64))) |
(pow.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (*.f64 i i) #s(literal 4 binary64))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (-.f64 (+.f64 alpha beta) (*.f64 i #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (fma.f64 (*.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 i #s(literal 2 binary64)) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (*.f64 i i) #s(literal 4 binary64)))) (-.f64 (+.f64 alpha beta) (*.f64 i #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (fma.f64 (*.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 i #s(literal 2 binary64)) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (*.f64 (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 2 binary64)))) (-.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)) (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)) (-.f64 (*.f64 (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 2 binary64)) (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)) (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (*.f64 i i) #s(literal 4 binary64))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (*.f64 i i) #s(literal 4 binary64)))) (*.f64 (-.f64 (+.f64 alpha beta) (*.f64 i #s(literal 2 binary64))) (-.f64 (+.f64 alpha beta) (*.f64 i #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (*.f64 i i) #s(literal 4 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (*.f64 (-.f64 (+.f64 alpha beta) (*.f64 i #s(literal 2 binary64))) (fma.f64 (*.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 i #s(literal 2 binary64)) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (*.f64 i i) #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 i #s(literal 2 binary64)) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 (+.f64 alpha beta) (*.f64 i #s(literal 2 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 i #s(literal 2 binary64)) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 (*.f64 i #s(literal 2 binary64)) (-.f64 (*.f64 i #s(literal 2 binary64)) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) |
(fma.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 2 binary64) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) |
(fma.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal 2 binary64)) i (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) |
(fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 i #s(literal 2 binary64)) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) |
(fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta) (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 2 binary64))) |
(fma.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) alpha (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) beta))) |
(fma.f64 (*.f64 i #s(literal 2 binary64)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) |
(fma.f64 i (*.f64 #s(literal 2 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) |
(fma.f64 #s(literal 2 binary64) (*.f64 i (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) |
(fma.f64 (+.f64 alpha beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 2 binary64))) |
(fma.f64 alpha (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) |
(+.f64 (*.f64 alpha (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) |
(+.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) alpha) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 i #s(literal 2 binary64) beta))) |
(+.f64 (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 2 binary64)) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) |
(+.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)) (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) i) #s(literal 2 binary64))) |
Compiled 123 420 to 7 014 computations (94.3% saved)
29 alts after pruning (27 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 042 | 12 | 2 054 |
| Fresh | 11 | 15 | 26 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 2 | 2 |
| Total | 2 058 | 29 | 2 087 |
| Status | Accuracy | Program |
|---|---|---|
| 18.2% | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta)))) (*.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 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) | |
| 18.2% | (/.f64 (/.f64 #s(approx (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (*.f64 (*.f64 (+.f64 beta i) 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 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) | |
| 40.4% | (/.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 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.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))) | |
| 24.6% | (/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))) (fma.f64 #s(literal 2 binary64) i (+.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))) | |
| ▶ | 19.4% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ 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))) |
| 39.0% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ 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))) | |
| 14.6% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (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 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) (* 2 i)) (+.f64 beta alpha))) #s(literal 1 binary64))) | |
| 18.8% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (*.f64 i #s(approx (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (neg.f64 (/.f64 (*.f64 alpha 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))) | |
| 33.5% | (/.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)) (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 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| ▶ | 14.7% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) 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))) |
| 14.1% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 i i) 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))) | |
| 33.5% | (/.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 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.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))) | |
| 30.6% | #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) (/.f64 beta i))) | |
| 30.5% | #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)) (/.f64 (/.f64 i (/.f64 beta (+.f64 i alpha))) beta)) | |
| ▶ | 30.6% | #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 (+.f64 i alpha) beta) i) beta)) |
| 16.3% | #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)) (/.f64 (*.f64 (+.f64 i alpha) i) (*.f64 beta beta))) | |
| 23.7% | #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 i (*.f64 (/.f64 beta (+.f64 i alpha)) beta))) | |
| 16.3% | #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)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha i) i)))) | |
| 30.1% | #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(literal 1 binary64) (/.f64 beta (*.f64 (/.f64 (+.f64 alpha i) beta) i)))) | |
| ▶ | 62.8% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) 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 1/16 binary64) (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) i))) |
| ✓ | 30.6% | #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) (/.f64 i beta))) |
| 18.4% | #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 (+.f64 alpha i) (-.f64 alpha i)) (*.f64 beta (-.f64 alpha i))) (/.f64 i beta))) | |
| 28.9% | #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(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))) | |
| 11.7% | #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 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))) | |
| 22.6% | #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 i (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 beta (+.f64 i alpha)) beta)) #s(literal -1 binary64))))) | |
| 16.5% | #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)) (*.f64 i #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 i (*.f64 beta beta))))) | |
| ▶ | 10.6% | #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 i #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))) |
| 22.8% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) 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 (*.f64 (/.f64 beta (+.f64 i alpha)) beta) i)) #s(literal -1 binary64)))) | |
| ✓ | 70.9% | #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 1 272 to 749 computations (41.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 i (+.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) (+.f64 alpha i))) | |
| cost-diff | 192 | (+.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) (+.f64 alpha i)) | |
| cost-diff | 768 | (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) | |
| cost-diff | 0 | #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 i alpha) i)) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ 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))) | |
| 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 (+.f64 i alpha) beta) | |
| cost-diff | 0 | (*.f64 (/.f64 (+.f64 i alpha) beta) i) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 (+.f64 i 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 (/.f64 (+.f64 i alpha) beta) i) beta)) | |
| cost-diff | 0 | (/.f64 alpha (*.f64 beta beta)) | |
| cost-diff | 0 | #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.f64 beta beta))) | |
| cost-diff | 0 | (*.f64 i #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.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)) (*.f64 i #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))) | |
| cost-diff | 0 | #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) i) | |
| cost-diff | 0 | (-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) 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 #s(literal 1/16 binary64) (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) i))) |
| 11 884× | lower-fma.f32 |
| 11 880× | lower-fma.f64 |
| 3 778× | lower-*.f32 |
| 3 758× | lower-*.f64 |
| 3 544× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 1053 |
| 0 | 120 | 1033 |
| 1 | 296 | 951 |
| 2 | 899 | 845 |
| 3 | 4525 | 792 |
| 4 | 7651 | 792 |
| 0 | 8359 | 756 |
| 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)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) i))) |
(-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) i)) |
#s(literal 1/16 binary64) |
(/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) i) |
#s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) |
(*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64)) |
(/.f64 (*.f64 beta beta) i) |
(*.f64 beta beta) |
beta |
i |
#s(literal 1/32 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 i #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))) |
(*.f64 i #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.f64 beta beta)))) |
i |
#s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.f64 beta beta))) |
(/.f64 alpha (*.f64 beta beta)) |
alpha |
(*.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 i alpha) beta) i) beta)) |
(/.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) beta) |
(*.f64 (/.f64 (+.f64 i alpha) beta) i) |
(/.f64 (+.f64 i alpha) beta) |
(+.f64 i alpha) |
i |
alpha |
beta |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ 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))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 i alpha) i)) |
(*.f64 (+.f64 i alpha) i) |
(+.f64 i alpha) |
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)) |
(*.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) |
beta |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 2 binary64) |
#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 i (+.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) 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))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) (+.f64 alpha i)))) |
(*.f64 i (+.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) (+.f64 alpha i))) |
i |
(+.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) (+.f64 alpha i)) |
(/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) |
(*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) |
(+.f64 alpha i) |
alpha |
(-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) |
(fma.f64 #s(literal 2 binary64) i alpha) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) |
#s(literal 4 binary64) |
(*.f64 #s(literal 2 binary64) 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 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 #s(literal 1/16 binary64) (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 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)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 beta beta) i))) i))) |
(-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) i)) |
(-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 beta beta) i))) i)) |
#s(literal 1/16 binary64) |
(/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) i) |
(/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 beta beta) i))) i) |
#s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) |
#s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 beta beta) i))) |
(*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64)) |
(*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 beta beta) i)) |
(/.f64 (*.f64 beta beta) i) |
(*.f64 beta beta) |
beta |
i |
#s(literal 1/32 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 i #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.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(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.f64 beta beta))) i)) |
(*.f64 i #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.f64 beta beta)))) |
(*.f64 #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.f64 beta beta))) i) |
i |
#s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.f64 beta beta))) |
(/.f64 alpha (*.f64 beta beta)) |
alpha |
(*.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 i 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) (/.f64 (+.f64 alpha i) beta))) |
(/.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) beta) |
(*.f64 (/.f64 i beta) (/.f64 (+.f64 alpha i) beta)) |
(*.f64 (/.f64 (+.f64 i alpha) beta) i) |
(*.f64 (/.f64 i beta) (+.f64 alpha i)) |
(/.f64 (+.f64 i alpha) beta) |
(/.f64 (+.f64 alpha i) beta) |
(+.f64 i alpha) |
(+.f64 alpha i) |
i |
alpha |
beta |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ 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)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 alpha i) 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))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 i alpha) i)) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 alpha i) i)) |
(*.f64 (+.f64 i alpha) i) |
(*.f64 (+.f64 alpha i) i) |
(+.f64 i alpha) |
(+.f64 alpha i) |
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 #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) |
beta |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 2 binary64) |
#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 i (+.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) 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(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 alpha i) (fma.f64 (/.f64 (fma.f64 i #s(literal -2 binary64) (neg.f64 alpha)) beta) i 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))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) (+.f64 alpha i)))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 alpha i) (fma.f64 (/.f64 (fma.f64 i #s(literal -2 binary64) (neg.f64 alpha)) beta) i i))) |
(*.f64 i (+.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) (+.f64 alpha i))) |
(*.f64 (+.f64 alpha i) (fma.f64 (/.f64 (fma.f64 i #s(literal -2 binary64) (neg.f64 alpha)) beta) i i)) |
i |
(+.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) (+.f64 alpha i)) |
(*.f64 (+.f64 (/.f64 (fma.f64 i #s(literal -2 binary64) (neg.f64 alpha)) beta) #s(literal 1 binary64)) (+.f64 alpha i)) |
(/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) |
(*.f64 (fma.f64 i #s(literal -2 binary64) (neg.f64 alpha)) (/.f64 (+.f64 alpha i) beta)) |
(*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) |
(*.f64 (fma.f64 i #s(literal -2 binary64) (neg.f64 alpha)) (+.f64 alpha i)) |
(+.f64 alpha i) |
alpha |
(-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) |
(fma.f64 i #s(literal -2 binary64) (neg.f64 alpha)) |
(fma.f64 #s(literal 2 binary64) i alpha) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) |
#s(literal 4 binary64) |
(*.f64 #s(literal 2 binary64) 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)) |
(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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.49999587166041165 | (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) | |
| accuracy | 10.659031146887749 | (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) | |
| accuracy | 33.57934620239868 | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) 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 | 42.61703976871152 | #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) (+.f64 alpha i)))) | |
| accuracy | 0.00390625 | (*.f64 (+.f64 i alpha) i) | |
| accuracy | 0.01171875 | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) | |
| accuracy | 17.248082166361456 | #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 i alpha) i)) | |
| accuracy | 33.57934620239868 | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ 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))) | |
| accuracy | 0.00390625 | (/.f64 (+.f64 i alpha) beta) | |
| accuracy | 0.1484375 | (*.f64 (/.f64 (+.f64 i alpha) beta) i) | |
| accuracy | 3.42814799927956 | (/.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) beta) | |
| accuracy | 44.334183611006274 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) 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) i) beta)) | |
| accuracy | 4.2786532618328454 | (*.f64 i #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.f64 beta beta)))) | |
| accuracy | 8.863287646601844 | (/.f64 alpha (*.f64 beta beta)) | |
| accuracy | 44.334183611006274 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) 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 i #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))) | |
| accuracy | 52.107251194119 | #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.f64 beta beta))) | |
| accuracy | 4.793339369570182 | (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) i) | |
| accuracy | 8.278145747769345 | (/.f64 (*.f64 beta beta) i) | |
| accuracy | 19.141328859649455 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) 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 1/16 binary64) (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) i))) | |
| accuracy | 24.8072665471683 | #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) |
| 154.0ms | 114× | 1 | valid |
| 92.0ms | 142× | 0 | valid |
Compiled 860 to 79 computations (90.8% saved)
ival-mult: 94.0ms (46.1% of total)ival-add: 32.0ms (15.7% of total)ival-div: 31.0ms (15.2% of total)ival-neg: 16.0ms (7.8% of total)adjust: 15.0ms (7.4% of total)ival-sub: 9.0ms (4.4% of total)ival-pow2: 6.0ms (2.9% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 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)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) i))) (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 #s(literal 1/16 binary64) (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) i))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) i)) (patch (-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) i)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) i) (patch (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) i) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) (patch #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 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 i #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.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 i #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))) #<representation binary64>) () ()) |
#s(alt (*.f64 i #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.f64 beta beta)))) (patch (*.f64 i #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.f64 beta beta)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.f64 beta beta))) (patch #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.f64 beta beta))) #<representation binary64>) () ()) |
#s(alt (/.f64 alpha (*.f64 beta beta)) (patch (/.f64 alpha (*.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 i alpha) 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 i alpha) beta) i) beta)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) beta) (patch (/.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) beta) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (+.f64 i alpha) beta) i) (patch (*.f64 (/.f64 (+.f64 i alpha) beta) i) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 i alpha) beta) (patch (/.f64 (+.f64 i alpha) beta) #<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 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ 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))) (patch (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ 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))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 i alpha) i)) (patch #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 i alpha) i)) #<representation binary64>) () ()) |
#s(alt (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) (patch (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) (+.f64 alpha i)) (patch (+.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) (+.f64 alpha i)) #<representation binary64>) () ()) |
#s(alt (*.f64 i (+.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) (+.f64 alpha i))) (patch (*.f64 i (+.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) (+.f64 alpha i))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 beta beta) i) (patch (/.f64 (*.f64 beta 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 (*.f64 (+.f64 i alpha) i) (patch (*.f64 (+.f64 i alpha) 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)))) (*.f64 i (+.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) (+.f64 alpha i)))) (patch #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) (+.f64 alpha 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 i (+.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) 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))) (patch (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) 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))) #<representation binary64>) () ()) |
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| Outputs |
|---|
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#s(alt (- (+ 1/16 (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (pow i 2))) (+ (* -1/8 (/ alpha i)) (+ (* -1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) (pow i 2))) (* 1/8 (/ alpha i)))))) (* -1/16 (/ (pow alpha 2) (pow i 2)))) (taylor 0 beta) (#s(alt (-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) i)) (patch (-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) i)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1/16 (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (pow i 2))) (+ (* -1/8 (/ alpha i)) (+ (* -1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) (pow i 2))) (+ (* 1/8 (/ alpha i)) (* beta (- (+ (* -2 (+ (* -1/8 (/ alpha (pow i 2))) (* 1/8 (/ alpha (pow i 2))))) (* -1/256 (+ (* 8 (/ alpha (pow i 2))) (* 40 (/ alpha (pow i 2)))))) (* -1/16 (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2))))))))))) (* -1/16 (/ (pow alpha 2) (pow i 2)))) (taylor 0 beta) (#s(alt (-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) i)) (patch (-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) i)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1/16 (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (pow i 2))) (+ (* -1/8 (/ alpha i)) (+ (* -1/256 (/ (+ (* 4 (- (pow alpha 2) 1)) (* 20 (pow alpha 2))) (pow i 2))) (+ (* 1/8 (/ alpha i)) (* beta (- (+ (* -2 (+ (* -1/8 (/ alpha (pow i 2))) (* 1/8 (/ alpha (pow i 2))))) (+ (* -1/32 (/ beta (pow i 2))) (* -1/256 (+ (* 8 (/ alpha (pow i 2))) (* 40 (/ alpha (pow i 2))))))) (* -1/16 (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2))))))))))) (* -1/16 (/ (pow alpha 2) (pow i 2)))) (taylor 0 beta) (#s(alt (-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) i)) (patch (-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) i)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 306.0ms | 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)) (- 1/16 (/ (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) i)) (/ (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) i) (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (/ (/ (* (* i (+ (+ alpha beta) 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 i) (* beta beta))) (/ (+ alpha i) (* beta beta)) (/ alpha (* 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)) (/ (* (/ (+ i alpha) beta) i) beta) (* (/ (+ i alpha) beta) i) (/ (+ i alpha) beta) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha))) (+ (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta) (+ alpha i)) (* i (+ (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta) (+ alpha i))) (/ (* beta beta) i) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (* (+ i alpha) 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)) (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta)) |
| 11.0ms | 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)) (- 1/16 (/ (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) i)) (/ (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) i) (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (/ (/ (* (* i (+ (+ alpha beta) 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 i) (* beta beta))) (/ (+ alpha i) (* beta beta)) (/ alpha (* 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)) (/ (* (/ (+ i alpha) beta) i) beta) (* (/ (+ i alpha) beta) i) (/ (+ i alpha) beta) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha))) (+ (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta) (+ alpha i)) (* i (+ (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta) (+ alpha i))) (/ (* beta beta) i) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (* (+ i alpha) 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)) (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta)) |
| 10.0ms | 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)) (- 1/16 (/ (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) i)) (/ (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) i) (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (/ (/ (* (* i (+ (+ alpha beta) 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 i) (* beta beta))) (/ (+ alpha i) (* beta beta)) (/ alpha (* 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)) (/ (* (/ (+ i alpha) beta) i) beta) (* (/ (+ i alpha) beta) i) (/ (+ i alpha) beta) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha))) (+ (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta) (+ alpha i)) (* i (+ (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta) (+ alpha i))) (/ (* beta beta) i) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (* (+ i alpha) 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)) (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta)) |
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| 1× | egg-herbie |
| 5 864× | lower-fma.f64 |
| 5 864× | lower-fma.f32 |
| 5 598× | lower-*.f64 |
| 5 598× | lower-*.f32 |
| 4 788× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2273 | 51374 |
| 1 | 8000 | 51338 |
| 0 | 8309 | 47162 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(/ (* (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)))) |
(/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta) |
(/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta) |
(/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta) |
(/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 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)) |
(* -1/32 (/ (pow beta 2) (pow i 2))) |
(* (pow beta 2) (- (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta (pow i 2)))) (* -1/256 (/ (+ (* 8 (/ alpha (pow i 2))) (* 40 (/ alpha (pow i 2)))) beta))) (+ (* -1/16 (/ (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2))) beta)) (* 1/32 (/ 1 (pow i 2)))))) |
(* (pow beta 2) (- (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* (pow beta 2) (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta (pow i 2)))) (+ (* -1/8 (/ alpha (* (pow beta 2) i))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) (pow i 2))) (* 20 (/ (pow alpha 2) (pow i 2)))) (pow beta 2))) (+ (* -1/256 (/ (+ (* 8 (/ alpha (pow i 2))) (* 40 (/ alpha (pow i 2)))) beta)) (+ (* 1/8 (/ alpha (* (pow beta 2) i))) (/ 1/16 (pow beta 2)))))))) (+ (* -1/16 (/ (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2))) beta)) (+ (* -1/16 (/ (pow alpha 2) (* (pow beta 2) (pow i 2)))) (* 1/32 (/ 1 (pow i 2))))))) |
(* (pow beta 2) (- (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* (pow beta 2) (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta (pow i 2)))) (+ (* -1/8 (/ alpha (* (pow beta 2) i))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) (pow i 2))) (* 20 (/ (pow alpha 2) (pow i 2)))) (pow beta 2))) (+ (* -1/256 (/ (+ (* 8 (/ alpha (pow i 2))) (* 40 (/ alpha (pow i 2)))) beta)) (+ (* 1/8 (/ alpha (* (pow beta 2) i))) (/ 1/16 (pow beta 2)))))))) (+ (* -1/16 (/ (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2))) beta)) (+ (* -1/16 (/ (pow alpha 2) (* (pow beta 2) (pow i 2)))) (* 1/32 (/ 1 (pow i 2))))))) |
(* 1/32 (/ (pow beta 2) (pow i 2))) |
(* (pow beta 2) (- (+ (* -1/16 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) (* beta i))) (* 1/32 (/ 1 (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta (pow i 2)))) (* -1/256 (/ (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))) (* beta i)))))) |
(* (pow beta 2) (- (+ (* -1/16 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) (* beta i))) (+ (* -1/16 (/ (pow alpha 2) (* (pow beta 2) (pow i 2)))) (* 1/32 (/ 1 (pow i 2))))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* (pow beta 2) (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta (pow i 2)))) (+ (* -1/8 (/ alpha (* (pow beta 2) i))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) (* (pow beta 2) i))) (+ (* -1/256 (/ (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))) (* beta i))) (* 1/8 (/ alpha (* (pow beta 2) i)))))))))) |
(* (pow beta 2) (- (+ (* -1/16 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) (* beta i))) (+ (* -1/16 (/ (pow alpha 2) (* (pow beta 2) (pow i 2)))) (* 1/32 (/ 1 (pow i 2))))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* (pow beta 2) (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta (pow i 2)))) (+ (* -1/8 (/ alpha (* (pow beta 2) i))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) (* (pow beta 2) i))) (+ (* -1/256 (/ (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))) (* beta i))) (* 1/8 (/ alpha (* (pow beta 2) i)))))))))) |
(* 1/32 (/ (pow beta 2) i)) |
(* (pow beta 2) (- (+ (* -1/16 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) beta)) (* 1/32 (/ 1 i))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta i))) (* -1/256 (/ (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))) beta))))) |
(* (pow beta 2) (- (+ (* -1/16 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) beta)) (+ (* -1/16 (/ (pow alpha 2) (* (pow beta 2) i))) (* 1/32 (/ 1 i)))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* (pow beta 2) i))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta i))) (+ (* -1/8 (/ alpha (pow beta 2))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) (pow beta 2))) (+ (* -1/256 (/ (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))) beta)) (* 1/8 (/ alpha (pow beta 2)))))))))) |
(* (pow beta 2) (- (+ (* -1/16 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) beta)) (+ (* -1/16 (/ (pow alpha 2) (* (pow beta 2) i))) (* 1/32 (/ 1 i)))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* (pow beta 2) i))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta i))) (+ (* -1/8 (/ alpha (pow beta 2))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) (pow beta 2))) (+ (* -1/256 (/ (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))) beta)) (* 1/8 (/ alpha (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)) |
(/ alpha (pow beta 2)) |
(/ alpha (pow beta 2)) |
(/ alpha (pow beta 2)) |
(/ alpha (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) |
(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 (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (pow beta 2)) (/ (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) beta))) (+ (/ (* 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 (+ (* alpha i) (+ (pow i 2) (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)) (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* alpha i) (+ (pow i 2) (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 (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (pow beta 2)) (/ (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) beta)))) (+ (/ (* 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 (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(* i (+ alpha i)) |
(- (+ (* i (+ alpha i)) (/ (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) |
(- (+ (* i (+ alpha i)) (+ (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (pow beta 2)) (/ (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) beta))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (pow beta 2)) (/ (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) beta)))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* alpha i) (+ (pow i 2) (pow (+ alpha i) 2)))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(+ alpha i) |
(+ alpha (+ i (/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta))) |
(+ alpha (+ i (/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta))) |
(+ alpha (+ i (/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta))) |
(* i (+ alpha i)) |
(+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))))) beta)) |
(+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))))) beta)) |
(+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))))) beta)) |
(/ (pow beta 2) i) |
(/ (pow beta 2) i) |
(/ (pow beta 2) i) |
(/ (pow beta 2) 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)))))) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 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))))) |
(/ (* 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) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta) |
(/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta) |
(/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta) |
(/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 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)) |
(* -1/32 (/ (pow beta 2) (pow i 2))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1/256 (+ (* -40 (/ alpha (pow i 2))) (* -8 (/ alpha (pow i 2))))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (pow i 2)))) (* -1/16 (+ (* -2 (/ alpha (pow i 2))) (* -1 (/ alpha (pow i 2)))))) beta)) (* 1/32 (/ 1 (pow i 2))))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1/16 (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (pow i 2))) (+ (* -1/8 (/ alpha i)) (+ (* -1/256 (+ (* 4 (/ (- (pow alpha 2) 1) (pow i 2))) (* 20 (/ (pow alpha 2) (pow i 2))))) (* 1/8 (/ alpha i)))))) (* -1/16 (/ (pow alpha 2) (pow i 2)))) beta)) (+ (* -1/256 (+ (* -40 (/ alpha (pow i 2))) (* -8 (/ alpha (pow i 2))))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (pow i 2))))) (* -1/16 (+ (* -2 (/ alpha (pow i 2))) (* -1 (/ alpha (pow i 2)))))) beta)) (* 1/32 (/ 1 (pow i 2))))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1/16 (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (pow i 2))) (+ (* -1/8 (/ alpha i)) (+ (* -1/256 (+ (* 4 (/ (- (pow alpha 2) 1) (pow i 2))) (* 20 (/ (pow alpha 2) (pow i 2))))) (* 1/8 (/ alpha i)))))) (* -1/16 (/ (pow alpha 2) (pow i 2)))) beta)) (+ (* -1/256 (+ (* -40 (/ alpha (pow i 2))) (* -8 (/ alpha (pow i 2))))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (pow i 2))))) (* -1/16 (+ (* -2 (/ alpha (pow i 2))) (* -1 (/ alpha (pow i 2)))))) beta)) (* 1/32 (/ 1 (pow i 2))))) |
(* 1/32 (/ (pow beta 2) (pow i 2))) |
(* (pow beta 2) (+ (* -1 (/ (- (* -1/16 (/ (+ (* -2 (/ alpha i)) (* -1 (/ alpha i))) i)) (+ (* -1/256 (/ (+ (* -40 (/ alpha i)) (* -8 (/ alpha i))) i)) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (pow i 2))))) beta)) (* 1/32 (/ 1 (pow i 2))))) |
(* (pow beta 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow alpha 2) (pow i 2))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (pow i 2))) (+ (* -1/8 (/ alpha i)) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) i)) (* 1/8 (/ alpha i)))))) beta)) (* -1/16 (/ (+ (* -2 (/ alpha i)) (* -1 (/ alpha i))) i))) (+ (* -1/256 (/ (+ (* -40 (/ alpha i)) (* -8 (/ alpha i))) i)) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (pow i 2))))) beta)) (* 1/32 (/ 1 (pow i 2))))) |
(* (pow beta 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow alpha 2) (pow i 2))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (pow i 2))) (+ (* -1/8 (/ alpha i)) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) i)) (* 1/8 (/ alpha i)))))) beta)) (* -1/16 (/ (+ (* -2 (/ alpha i)) (* -1 (/ alpha i))) i))) (+ (* -1/256 (/ (+ (* -40 (/ alpha i)) (* -8 (/ alpha i))) i)) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (pow i 2))))) beta)) (* 1/32 (/ 1 (pow i 2))))) |
(* 1/32 (/ (pow beta 2) i)) |
(* (pow beta 2) (+ (* -1 (/ (- (* -1/16 (+ (* -2 (/ alpha i)) (* -1 (/ alpha i)))) (+ (* -1/256 (+ (* -40 (/ alpha i)) (* -8 (/ alpha i)))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i)))) beta)) (* 1/32 (/ 1 i)))) |
(* (pow beta 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow alpha 2) i)) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) (+ (* -1/8 alpha) (+ (* -1/256 (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i)))) (* 1/8 alpha))))) beta)) (* -1/16 (+ (* -2 (/ alpha i)) (* -1 (/ alpha i))))) (+ (* -1/256 (+ (* -40 (/ alpha i)) (* -8 (/ alpha i)))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i)))) beta)) (* 1/32 (/ 1 i)))) |
(* (pow beta 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow alpha 2) i)) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) (+ (* -1/8 alpha) (+ (* -1/256 (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i)))) (* 1/8 alpha))))) beta)) (* -1/16 (+ (* -2 (/ alpha i)) (* -1 (/ alpha i))))) (+ (* -1/256 (+ (* -40 (/ alpha i)) (* -8 (/ alpha i)))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i)))) beta)) (* 1/32 (/ 1 i)))) |
(* -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)) |
(/ alpha (pow beta 2)) |
(/ alpha (pow beta 2)) |
(/ alpha (pow beta 2)) |
(/ alpha (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) |
(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 (+ (* alpha i) (pow i 2))) (* (+ 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 (/ (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (+ (* alpha i) (pow i 2))) (* (+ 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 (+ (* alpha i) (pow i 2))) (* (+ 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)) (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (+ (* alpha i) (pow i 2))) (* (+ 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)) (+ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (/ (* (- (* i (+ (* -1 (+ (* alpha i) (pow i 2))) (* (+ 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 (+ (* alpha i) (pow i 2))) (* (+ 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 (+ (* alpha i) (pow i 2))) (* (+ 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 (+ (* alpha i) (pow i 2))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (+ (* alpha i) (pow i 2))) (* (+ 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 (+ (* alpha i) (pow i 2))) (* (+ 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)) (- (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (+ (* alpha i) (pow i 2))) (* (+ 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 (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* -1 (+ (* alpha i) (pow i 2))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (+ (* alpha i) (pow i 2))) (* (+ 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 (+ (* alpha i) (pow i 2))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ alpha i) |
(+ alpha (+ i (/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta))) |
(+ alpha (+ i (/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta))) |
(+ alpha (+ i (/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta))) |
(* i (+ alpha i)) |
(+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))))) beta)) |
(+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))))) beta)) |
(+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))))) beta)) |
(/ (pow beta 2) i) |
(/ (pow beta 2) i) |
(/ (pow beta 2) i) |
(/ (pow beta 2) 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) beta))) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) 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))) |
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(/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) 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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(/ (pow i 2) (pow beta 2)) |
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(/ i (pow beta 2)) |
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(/ alpha (pow beta 2)) |
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(/ (* i (- (* 2 i) (* 4 i))) beta) |
(+ (* alpha (- (+ (* -1 (/ i beta)) (* 2 (/ i beta))) (* 4 (/ i beta)))) (/ (* i (- (* 2 i) (* 4 i))) beta)) |
(+ (* alpha (- (+ (* -1 (/ alpha beta)) (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (* 4 (/ i beta)))) (/ (* i (- (* 2 i) (* 4 i))) beta)) |
(+ (* alpha (- (+ (* -1 (/ alpha beta)) (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (* 4 (/ i beta)))) (/ (* i (- (* 2 i) (* 4 i))) beta)) |
(/ (* 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)) |
(* -1/32 (/ (pow alpha 2) (pow i 2))) |
(* (pow alpha 2) (- (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha (pow i 2)))) (* -1/256 (/ (+ (* 8 (/ beta (pow i 2))) (* 40 (/ beta (pow i 2)))) alpha))) (+ (* -1/16 (/ (+ (* 2 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (* 1/32 (/ 1 (pow i 2)))))) |
(* (pow alpha 2) (- (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* (pow alpha 2) (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha (pow i 2)))) (+ (* -1/8 (/ beta (* (pow alpha 2) i))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (* 20 (/ (pow beta 2) (pow i 2)))) (pow alpha 2))) (+ (* -1/256 (/ (+ (* 8 (/ beta (pow i 2))) (* 40 (/ beta (pow i 2)))) alpha)) (+ (* 1/8 (/ beta (* (pow alpha 2) i))) (/ 1/16 (pow alpha 2)))))))) (+ (* -1/16 (/ (+ (* 2 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (+ (* -1/16 (/ (pow beta 2) (* (pow alpha 2) (pow i 2)))) (* 1/32 (/ 1 (pow i 2))))))) |
(* (pow alpha 2) (- (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* (pow alpha 2) (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha (pow i 2)))) (+ (* -1/8 (/ beta (* (pow alpha 2) i))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (* 20 (/ (pow beta 2) (pow i 2)))) (pow alpha 2))) (+ (* -1/256 (/ (+ (* 8 (/ beta (pow i 2))) (* 40 (/ beta (pow i 2)))) alpha)) (+ (* 1/8 (/ beta (* (pow alpha 2) i))) (/ 1/16 (pow alpha 2)))))))) (+ (* -1/16 (/ (+ (* 2 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (+ (* -1/16 (/ (pow beta 2) (* (pow alpha 2) (pow i 2)))) (* 1/32 (/ 1 (pow i 2))))))) |
(* 1/32 (/ (pow alpha 2) (pow i 2))) |
(* (pow alpha 2) (- (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) (* alpha i))) (* 1/32 (/ 1 (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha (pow i 2)))) (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) (* alpha i)))))) |
(* (pow alpha 2) (- (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) (* alpha i))) (+ (* -1/16 (/ (pow beta 2) (* (pow alpha 2) (pow i 2)))) (* 1/32 (/ 1 (pow i 2))))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* (pow alpha 2) (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha (pow i 2)))) (+ (* -1/8 (/ beta (* (pow alpha 2) i))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) (* (pow alpha 2) i))) (+ (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) (* alpha i))) (* 1/8 (/ beta (* (pow alpha 2) i)))))))))) |
(* (pow alpha 2) (- (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) (* alpha i))) (+ (* -1/16 (/ (pow beta 2) (* (pow alpha 2) (pow i 2)))) (* 1/32 (/ 1 (pow i 2))))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* (pow alpha 2) (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha (pow i 2)))) (+ (* -1/8 (/ beta (* (pow alpha 2) i))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) (* (pow alpha 2) i))) (+ (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) (* alpha i))) (* 1/8 (/ beta (* (pow alpha 2) i)))))))))) |
(* 1/32 (/ (pow alpha 2) i)) |
(* (pow alpha 2) (- (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) alpha)) (* 1/32 (/ 1 i))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha i))) (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) alpha))))) |
(* (pow alpha 2) (- (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) alpha)) (+ (* -1/16 (/ (pow beta 2) (* (pow alpha 2) i))) (* 1/32 (/ 1 i)))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* (pow alpha 2) i))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha i))) (+ (* -1/8 (/ beta (pow alpha 2))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) (pow alpha 2))) (+ (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) alpha)) (* 1/8 (/ beta (pow alpha 2)))))))))) |
(* (pow alpha 2) (- (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) alpha)) (+ (* -1/16 (/ (pow beta 2) (* (pow alpha 2) i))) (* 1/32 (/ 1 i)))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* (pow alpha 2) i))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha i))) (+ (* -1/8 (/ beta (pow alpha 2))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) (pow alpha 2))) (+ (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) alpha)) (* 1/8 (/ beta (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 (pow beta 2)) |
(* alpha (+ (/ 1 (pow beta 2)) (/ i (* alpha (pow beta 2))))) |
(* alpha (+ (/ 1 (pow beta 2)) (/ i (* alpha (pow beta 2))))) |
(* alpha (+ (/ 1 (pow beta 2)) (/ i (* alpha (pow beta 2))))) |
(/ alpha (pow beta 2)) |
(/ alpha (pow beta 2)) |
(/ alpha (pow beta 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 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)))) |
(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 (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) alpha))) (+ (/ (* 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 (+ (* beta i) (+ (pow i 2) (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)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* beta i) (+ (pow i 2) (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 (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) alpha)))) (+ (/ (* 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 (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(* i (+ beta i)) |
(- (+ (* i (+ beta i)) (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha)) |
(- (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) alpha))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow alpha 2)) (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) alpha)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(* -1 alpha) |
(* alpha (- (* 2 (/ i alpha)) (+ 1 (* 4 (/ i alpha))))) |
(* alpha (- (* 2 (/ i alpha)) (+ 1 (* 4 (/ i alpha))))) |
(* alpha (- (* 2 (/ i alpha)) (+ 1 (* 4 (/ i alpha))))) |
(* -1 (/ (pow alpha 2) beta)) |
(* (pow alpha 2) (- (+ (* -1 (/ i (* alpha beta))) (+ (* 2 (/ i (* alpha beta))) (/ 1 alpha))) (+ (* 4 (/ i (* alpha beta))) (/ 1 beta)))) |
(* (pow alpha 2) (- (+ (* -1 (/ i (* alpha beta))) (+ (* 2 (/ i (* alpha beta))) (+ (/ 1 alpha) (+ (/ i (pow alpha 2)) (/ (* i (- (* 2 i) (* 4 i))) (* (pow alpha 2) beta)))))) (+ (* 4 (/ i (* alpha beta))) (/ 1 beta)))) |
(* (pow alpha 2) (- (+ (* -1 (/ i (* alpha beta))) (+ (* 2 (/ i (* alpha beta))) (+ (/ 1 alpha) (+ (/ i (pow alpha 2)) (/ (* i (- (* 2 i) (* 4 i))) (* (pow alpha 2) beta)))))) (+ (* 4 (/ i (* alpha beta))) (/ 1 beta)))) |
(* -1 (/ (* (pow alpha 2) i) beta)) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (/ (* i (- (+ 1 (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (* 4 (/ i beta)))) alpha))) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (/ (* i (+ i (/ (* i (- (* 2 i) (* 4 i))) beta))) (pow alpha 2)) (/ (* i (- (+ 1 (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (* 4 (/ i beta)))) alpha)))) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (/ (* i (+ i (/ (* i (- (* 2 i) (* 4 i))) beta))) (pow alpha 2)) (/ (* i (- (+ 1 (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (* 4 (/ i 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)))))) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2)))))) |
(* alpha i) |
(* alpha (+ i (/ (pow i 2) alpha))) |
(* alpha (+ i (/ (pow i 2) alpha))) |
(* alpha (+ i (/ (pow 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)) |
(* -1 (/ (pow alpha 2) beta)) |
(* (pow alpha 2) (- (+ (* -1 (/ i (* alpha beta))) (* 2 (/ i (* alpha beta)))) (+ (* 4 (/ i (* alpha beta))) (/ 1 beta)))) |
(* (pow alpha 2) (- (+ (* -1 (/ i (* alpha beta))) (+ (* 2 (/ i (* alpha beta))) (/ (* i (- (* 2 i) (* 4 i))) (* (pow alpha 2) beta)))) (+ (* 4 (/ i (* alpha beta))) (/ 1 beta)))) |
(* (pow alpha 2) (- (+ (* -1 (/ i (* alpha beta))) (+ (* 2 (/ i (* alpha beta))) (/ (* i (- (* 2 i) (* 4 i))) (* (pow alpha 2) beta)))) (+ (* 4 (/ i (* alpha beta))) (/ 1 beta)))) |
(* -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)) |
(* -1/32 (/ (pow alpha 2) (pow i 2))) |
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1/256 (+ (* -40 (/ beta (pow i 2))) (* -8 (/ beta (pow i 2))))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (pow i 2)))) (* -1/16 (+ (* -2 (/ beta (pow i 2))) (* -1 (/ beta (pow i 2)))))) alpha)) (* 1/32 (/ 1 (pow i 2))))) |
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1/16 (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (pow i 2))) (+ (* -1/8 (/ beta i)) (+ (* -1/256 (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (* 20 (/ (pow beta 2) (pow i 2))))) (* 1/8 (/ beta i)))))) (* -1/16 (/ (pow beta 2) (pow i 2)))) alpha)) (+ (* -1/256 (+ (* -40 (/ beta (pow i 2))) (* -8 (/ beta (pow i 2))))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (pow i 2))))) (* -1/16 (+ (* -2 (/ beta (pow i 2))) (* -1 (/ beta (pow i 2)))))) alpha)) (* 1/32 (/ 1 (pow i 2))))) |
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1/16 (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (pow i 2))) (+ (* -1/8 (/ beta i)) (+ (* -1/256 (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (* 20 (/ (pow beta 2) (pow i 2))))) (* 1/8 (/ beta i)))))) (* -1/16 (/ (pow beta 2) (pow i 2)))) alpha)) (+ (* -1/256 (+ (* -40 (/ beta (pow i 2))) (* -8 (/ beta (pow i 2))))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (pow i 2))))) (* -1/16 (+ (* -2 (/ beta (pow i 2))) (* -1 (/ beta (pow i 2)))))) alpha)) (* 1/32 (/ 1 (pow i 2))))) |
(* 1/32 (/ (pow alpha 2) (pow i 2))) |
(* (pow alpha 2) (+ (* -1 (/ (- (* -1/16 (/ (+ (* -2 (/ beta i)) (* -1 (/ beta i))) i)) (+ (* -1/256 (/ (+ (* -40 (/ beta i)) (* -8 (/ beta i))) i)) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (pow i 2))))) alpha)) (* 1/32 (/ 1 (pow i 2))))) |
(* (pow alpha 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow beta 2) (pow i 2))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (pow i 2))) (+ (* -1/8 (/ beta i)) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) i)) (* 1/8 (/ beta i)))))) alpha)) (* -1/16 (/ (+ (* -2 (/ beta i)) (* -1 (/ beta i))) i))) (+ (* -1/256 (/ (+ (* -40 (/ beta i)) (* -8 (/ beta i))) i)) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (pow i 2))))) alpha)) (* 1/32 (/ 1 (pow i 2))))) |
(* (pow alpha 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow beta 2) (pow i 2))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (pow i 2))) (+ (* -1/8 (/ beta i)) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) i)) (* 1/8 (/ beta i)))))) alpha)) (* -1/16 (/ (+ (* -2 (/ beta i)) (* -1 (/ beta i))) i))) (+ (* -1/256 (/ (+ (* -40 (/ beta i)) (* -8 (/ beta i))) i)) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (pow i 2))))) alpha)) (* 1/32 (/ 1 (pow i 2))))) |
(* 1/32 (/ (pow alpha 2) i)) |
(* (pow alpha 2) (+ (* -1 (/ (- (* -1/16 (+ (* -2 (/ beta i)) (* -1 (/ beta i)))) (+ (* -1/256 (+ (* -40 (/ beta i)) (* -8 (/ beta i)))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)))) alpha)) (* 1/32 (/ 1 i)))) |
(* (pow alpha 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow beta 2) i)) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (+ (* -1/8 beta) (+ (* -1/256 (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i)))) (* 1/8 beta))))) alpha)) (* -1/16 (+ (* -2 (/ beta i)) (* -1 (/ beta i))))) (+ (* -1/256 (+ (* -40 (/ beta i)) (* -8 (/ beta i)))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)))) alpha)) (* 1/32 (/ 1 i)))) |
(* (pow alpha 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow beta 2) i)) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (+ (* -1/8 beta) (+ (* -1/256 (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i)))) (* 1/8 beta))))) alpha)) (* -1/16 (+ (* -2 (/ beta i)) (* -1 (/ beta i))))) (+ (* -1/256 (+ (* -40 (/ beta i)) (* -8 (/ beta i)))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)))) alpha)) (* 1/32 (/ 1 i)))) |
(* -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 (pow beta 2)) |
(* -1 (* alpha (- (* -1 (/ i (* alpha (pow beta 2)))) (/ 1 (pow beta 2))))) |
(* -1 (* alpha (- (* -1 (/ i (* alpha (pow beta 2)))) (/ 1 (pow beta 2))))) |
(* -1 (* alpha (- (* -1 (/ i (* alpha (pow beta 2)))) (/ 1 (pow beta 2))))) |
(/ alpha (pow beta 2)) |
(/ alpha (pow beta 2)) |
(/ alpha (pow beta 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 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)))) |
(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 (+ (* beta i) (pow i 2))) (* (+ 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 (/ (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ 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)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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)) (+ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (/ (* (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ 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)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 (* (+ beta i) (+ (* beta i) (pow i 2)))) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(* -1 alpha) |
(* -1 (* alpha (+ 1 (* -1 (/ (- (* 2 i) (* 4 i)) alpha))))) |
(* -1 (* alpha (+ 1 (* -1 (/ (- (* 2 i) (* 4 i)) alpha))))) |
(* -1 (* alpha (+ 1 (* -1 (/ (- (* 2 i) (* 4 i)) alpha))))) |
(* -1 (/ (pow alpha 2) beta)) |
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta)) 1) alpha)) (/ 1 beta))) |
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (+ i (/ (* i (- (* 2 i) (* 4 i))) beta)) alpha)) (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta))) 1) alpha)) (/ 1 beta))) |
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (+ i (/ (* i (- (* 2 i) (* 4 i))) beta)) alpha)) (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta))) 1) alpha)) (/ 1 beta))) |
(* -1 (/ (* (pow alpha 2) i) beta)) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (* -1 (/ (* i (- (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta)) 1)) alpha)))) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (* -1 (/ (+ (* -1 (/ (* i (+ i (/ (* i (- (* 2 i) (* 4 i))) beta))) alpha)) (* i (- (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta)) 1))) alpha)))) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (* -1 (/ (+ (* -1 (/ (* i (+ i (/ (* i (- (* 2 i) (* 4 i))) beta))) alpha)) (* i (- (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta)) 1))) 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 i) |
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha))))) |
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) alpha))))) |
(* -1 (* alpha (+ (* -1 i) (* -1 (/ (pow i 2) 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) beta)) |
(* (pow alpha 2) (- (* -1 (/ (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta)) alpha)) (/ 1 beta))) |
(* (pow alpha 2) (- (* -1 (/ (+ (* -1 (/ (* i (- (* 2 i) (* 4 i))) (* alpha beta))) (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta))) alpha)) (/ 1 beta))) |
(* (pow alpha 2) (- (* -1 (/ (+ (* -1 (/ (* i (- (* 2 i) (* 4 i))) (* alpha beta))) (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta))) alpha)) (/ 1 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))))) |
(/ (- (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (pow i 2)) |
(/ (- (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (+ (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))) (* i (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (pow i 2)) |
(/ (- (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (+ (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))) (* i (+ (* -1/8 (+ alpha beta)) (+ (* 1/16 i) (* 1/8 (+ alpha beta))))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (pow i 2)) |
(/ (- (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (+ (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))) (* i (+ (* -1/8 (+ alpha beta)) (+ (* 1/16 i) (* 1/8 (+ alpha beta))))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (pow i 2)) |
(/ (- (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) (pow i 2)) |
(/ (- (+ (* -1 (* i (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) (pow i 2)) |
(/ (- (+ (* -1 (* i (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) (pow i 2)) |
(/ (- (+ (* -1 (* i (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) (pow i 2)) |
(/ (- (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) i) |
(/ (- (+ (* -1 (* i (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) i) |
(/ (- (+ (* -1 (* i (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) i) |
(/ (- (+ (* -1 (* i (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ 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 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 (pow beta 2)) |
(+ (/ alpha (pow beta 2)) (/ i (pow beta 2))) |
(+ (/ alpha (pow beta 2)) (/ i (pow beta 2))) |
(+ (/ alpha (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)) |
(- (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))))) |
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(/ (* 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 (* 2 alpha)) |
(- (+ alpha (* -2 i)) (* 2 alpha)) |
(- (+ alpha (* -2 i)) (* 2 alpha)) |
(- (+ alpha (* -2 i)) (* 2 alpha)) |
(+ alpha (/ (* alpha (- alpha (* 2 alpha))) beta)) |
(+ alpha (+ (* i (- (+ 1 (+ (* -2 (/ alpha beta)) (/ alpha beta))) (* 2 (/ alpha beta)))) (/ (* alpha (- alpha (* 2 alpha))) beta))) |
(+ alpha (+ (* i (- (+ 1 (+ (* -2 (/ alpha beta)) (+ (* -2 (/ i beta)) (/ alpha beta)))) (* 2 (/ alpha beta)))) (/ (* alpha (- alpha (* 2 alpha))) beta))) |
(+ alpha (+ (* i (- (+ 1 (+ (* -2 (/ alpha beta)) (+ (* -2 (/ i beta)) (/ alpha beta)))) (* 2 (/ alpha beta)))) (/ (* alpha (- alpha (* 2 alpha))) beta))) |
(* i (+ alpha (/ (* alpha (- alpha (* 2 alpha))) beta))) |
(* i (+ alpha (+ (* i (- (+ 1 (+ (* -2 (/ alpha beta)) (/ alpha beta))) (* 2 (/ alpha beta)))) (/ (* alpha (- alpha (* 2 alpha))) beta)))) |
(* i (+ alpha (+ (* i (- (+ 1 (+ (* -2 (/ alpha beta)) (+ (* -2 (/ i beta)) (/ alpha beta)))) (* 2 (/ alpha beta)))) (/ (* alpha (- alpha (* 2 alpha))) beta)))) |
(* i (+ alpha (+ (* i (- (+ 1 (+ (* -2 (/ alpha beta)) (+ (* -2 (/ i beta)) (/ alpha beta)))) (* 2 (/ alpha beta)))) (/ (* alpha (- alpha (* 2 alpha))) beta)))) |
(/ (pow beta 2) i) |
(/ (pow beta 2) i) |
(/ (pow beta 2) i) |
(/ (pow beta 2) i) |
(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)) |
(* alpha i) |
(* i (+ alpha i)) |
(* i (+ alpha i)) |
(* i (+ alpha i)) |
(/ (* 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 (* 2 alpha))) beta) |
(+ (* i (- (+ (* -2 (/ alpha beta)) (/ alpha beta)) (* 2 (/ alpha beta)))) (/ (* alpha (- alpha (* 2 alpha))) beta)) |
(+ (* i (- (+ (* -2 (/ alpha beta)) (+ (* -2 (/ i beta)) (/ alpha beta))) (* 2 (/ alpha beta)))) (/ (* alpha (- alpha (* 2 alpha))) beta)) |
(+ (* i (- (+ (* -2 (/ alpha beta)) (+ (* -2 (/ i beta)) (/ alpha beta))) (* 2 (/ alpha beta)))) (/ (* alpha (- alpha (* 2 alpha))) 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))))))))) |
1/16 |
(+ 1/16 (+ (* -1/8 (/ (+ alpha beta) i)) (* 1/8 (/ (+ alpha beta) i)))) |
(- (+ 1/16 (+ (* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) (pow i 2))) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) (pow i 2))))) (+ (* -1 (/ (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))) i)) (* -1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) |
(- (+ 1/16 (+ (* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) (pow i 2))) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) (pow i 2))))) (+ (* -1 (/ (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))) i)) (* -1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) |
(* -1 (/ (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))) i)) |
(/ (- (+ (* -1 (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) (* -1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i))) (+ (* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)))) i) |
(/ (- (+ (* -1 (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) (* -1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i))) (+ (* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)))) i) |
(/ (- (+ (* -1 (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) (* -1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i))) (+ (* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)))) i) |
(* -1 (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) |
(- (* -1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) (+ (* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i)) (+ (* -1/8 (+ alpha beta)) (+ (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)) (* 1/8 (+ alpha beta)))))) |
(- (* -1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) (+ (* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i)) (+ (* -1/8 (+ alpha beta)) (+ (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)) (* 1/8 (+ alpha beta)))))) |
(- (* -1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) (+ (* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i)) (+ (* -1/8 (+ alpha beta)) (+ (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)) (* 1/8 (+ alpha 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))))))))) |
(/ (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 (pow beta 2)) |
(* i (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* i (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* i (+ (/ 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))))))))) |
(/ (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)))) |
(* 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)))))))) |
(* -2 i) |
(* i (- (/ alpha i) (+ 2 (* 2 (/ alpha i))))) |
(* i (- (/ alpha i) (+ 2 (* 2 (/ alpha i))))) |
(* i (- (/ alpha i) (+ 2 (* 2 (/ alpha i))))) |
(* -2 (/ (pow i 2) beta)) |
(* (pow i 2) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ 1 i) (/ alpha (* beta i)))) (+ (* 2 (/ 1 beta)) (* 2 (/ alpha (* beta i)))))) |
(* (pow i 2) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (* alpha (- alpha (* 2 alpha))) (* beta (pow i 2))))))) (+ (* 2 (/ 1 beta)) (* 2 (/ alpha (* beta i)))))) |
(* (pow i 2) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (* alpha (- alpha (* 2 alpha))) (* beta (pow i 2))))))) (+ (* 2 (/ 1 beta)) (* 2 (/ alpha (* beta i)))))) |
(* -2 (/ (pow i 3) beta)) |
(* (pow i 3) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ 1 i) (/ alpha (* beta i)))) (+ (* 2 (/ alpha (* beta i))) (* 2 (/ 1 beta))))) |
(* (pow i 3) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (* alpha (- alpha (* 2 alpha))) (* beta (pow i 2))))))) (+ (* 2 (/ alpha (* beta i))) (* 2 (/ 1 beta))))) |
(* (pow i 3) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (* alpha (- alpha (* 2 alpha))) (* beta (pow i 2))))))) (+ (* 2 (/ alpha (* beta i))) (* 2 (/ 1 beta))))) |
(/ (pow beta 2) i) |
(/ (pow beta 2) i) |
(/ (pow beta 2) i) |
(/ (pow beta 2) 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))))) |
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2))))) |
(pow i 2) |
(* (pow i 2) (+ 1 (/ alpha i))) |
(* (pow i 2) (+ 1 (/ alpha i))) |
(* (pow i 2) (+ 1 (/ alpha 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))))))))) |
(* -2 (/ (pow i 2) beta)) |
(* (pow i 2) (- (+ (* -2 (/ alpha (* beta i))) (/ alpha (* beta i))) (+ (* 2 (/ alpha (* beta i))) (* 2 (/ 1 beta))))) |
(* (pow i 2) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ alpha (* beta i)) (/ (* alpha (- alpha (* 2 alpha))) (* beta (pow i 2))))) (+ (* 2 (/ alpha (* beta i))) (* 2 (/ 1 beta))))) |
(* (pow i 2) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ alpha (* beta i)) (/ (* alpha (- alpha (* 2 alpha))) (* beta (pow i 2))))) (+ (* 2 (/ alpha (* beta i))) (* 2 (/ 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))) |
1/16 |
(+ 1/16 (+ (* -1/8 (/ (+ alpha beta) i)) (* 1/8 (/ (+ alpha beta) i)))) |
(+ 1/16 (* -1 (/ (- (* -1 (/ (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))) (* 2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))))) i)) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i))) |
(+ 1/16 (* -1 (/ (- (* -1 (/ (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))) (* 2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))))) i)) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i))) |
(* -1 (/ (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))) i)) |
(* -1 (/ (- (+ (* -1/8 (+ alpha beta)) (+ (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) (* 1/8 (+ alpha beta)))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)) (* 2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i)))) i)) |
(* -1 (/ (- (+ (* -1/8 (+ alpha beta)) (+ (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) (* 1/8 (+ alpha beta)))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)) (* 2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i)))) i)) |
(* -1 (/ (- (+ (* -1/8 (+ alpha beta)) (+ (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) (* 1/8 (+ alpha beta)))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)) (* 2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i)))) i)) |
(* -1 (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) |
(- (* -1 (/ (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))) (* 2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))))) i)) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) |
(- (* -1 (/ (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))) (* 2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))))) i)) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) |
(- (* -1 (/ (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))) (* 2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))))) i)) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha 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 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 (pow beta 2)) |
(* -1 (* i (- (* -1 (/ alpha (* (pow beta 2) i))) (/ 1 (pow beta 2))))) |
(* -1 (* i (- (* -1 (/ alpha (* (pow beta 2) i))) (/ 1 (pow beta 2))))) |
(* -1 (* i (- (* -1 (/ alpha (* (pow beta 2) i))) (/ 1 (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)))) |
(* 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)))) |
(* -2 i) |
(* -1 (* i (+ 2 (* -1 (/ (- alpha (* 2 alpha)) i))))) |
(* -1 (* i (+ 2 (* -1 (/ (- alpha (* 2 alpha)) i))))) |
(* -1 (* i (+ 2 (* -1 (/ (- alpha (* 2 alpha)) i))))) |
(* -2 (/ (pow i 2) beta)) |
(* (pow i 2) (- (* -1 (/ (- (+ (* -1 (/ (- alpha (* 2 alpha)) beta)) (* 2 (/ alpha beta))) 1) i)) (* 2 (/ 1 beta)))) |
(* (pow i 2) (- (* -1 (/ (- (+ (* -1 (/ (+ alpha (/ (* alpha (- alpha (* 2 alpha))) beta)) i)) (+ (* -1 (/ (- alpha (* 2 alpha)) beta)) (* 2 (/ alpha beta)))) 1) i)) (* 2 (/ 1 beta)))) |
(* (pow i 2) (- (* -1 (/ (- (+ (* -1 (/ (+ alpha (/ (* alpha (- alpha (* 2 alpha))) beta)) i)) (+ (* -1 (/ (- alpha (* 2 alpha)) beta)) (* 2 (/ alpha beta)))) 1) i)) (* 2 (/ 1 beta)))) |
(* -2 (/ (pow i 3) beta)) |
(* -1 (* (pow i 3) (- (+ (* -1 (/ (- alpha (* 2 alpha)) (* beta i))) (+ (* 2 (/ alpha (* beta i))) (* 2 (/ 1 beta)))) (/ 1 i)))) |
(* -1 (* (pow i 3) (+ (* -1 (/ (+ (* -1 (- (+ (* -1 (/ (- alpha (* 2 alpha)) beta)) (* 2 (/ alpha beta))) 1)) (+ (/ alpha i) (/ (* alpha (- alpha (* 2 alpha))) (* beta i)))) i)) (* 2 (/ 1 beta))))) |
(* -1 (* (pow i 3) (+ (* -1 (/ (+ (* -1 (- (+ (* -1 (/ (- alpha (* 2 alpha)) beta)) (* 2 (/ alpha beta))) 1)) (+ (/ alpha i) (/ (* alpha (- alpha (* 2 alpha))) (* beta i)))) i)) (* 2 (/ 1 beta))))) |
(/ (pow beta 2) i) |
(/ (pow beta 2) i) |
(/ (pow beta 2) i) |
(/ (pow beta 2) 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)))) |
(pow i 2) |
(* (pow i 2) (+ 1 (/ alpha i))) |
(* (pow i 2) (+ 1 (/ alpha i))) |
(* (pow i 2) (+ 1 (/ alpha 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))) |
(* -2 (/ (pow i 2) beta)) |
(* (pow i 2) (- (* -1 (/ (+ (* -1 (/ (- alpha (* 2 alpha)) beta)) (* 2 (/ alpha beta))) i)) (* 2 (/ 1 beta)))) |
(* (pow i 2) (- (* -1 (/ (+ (* -1 (/ (* alpha (- alpha (* 2 alpha))) (* beta i))) (+ (* -1 (/ (- alpha (* 2 alpha)) beta)) (* 2 (/ alpha beta)))) i)) (* 2 (/ 1 beta)))) |
(* (pow i 2) (- (* -1 (/ (+ (* -1 (/ (* alpha (- alpha (* 2 alpha))) (* beta i))) (+ (* -1 (/ (- alpha (* 2 alpha)) beta)) (* 2 (/ alpha beta)))) i)) (* 2 (/ 1 beta)))) |
| Outputs |
|---|
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
(*.f64 (/.f64 (*.f64 i i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 alpha i) #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 (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 i i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))) (/.f64 (*.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 (+.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 i i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 alpha i) #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)))) |
(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 i i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))) (/.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 (-.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 i i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))) (/.f64 (*.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 (+.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))))) (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 i i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))) (/.f64 (*.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 (+.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 i i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 alpha i) #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 (- (+ (* -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 (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 (/.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 i i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))) (/.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 (-.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 i i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))) (/.f64 (*.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 (+.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))))) (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)))))) (*.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 (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 (-.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 i i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))) (/.f64 (*.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 (+.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))))) (*.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 i i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))) (/.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 (-.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 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 i i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))) (/.f64 (*.f64 (-.f64 (fma.f64 (pow.f64 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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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(+ (* 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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(+ alpha (+ beta (* 2 i))) |
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) |
(/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
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(/ (* i (* (+ alpha i) (+ (* alpha i) (pow i 2)))) (pow (+ alpha (* 2 i)) 2)) |
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(/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta) |
(/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64)))) (+.f64 alpha i)) beta) |
(/ (+ (* beta (+ alpha i)) (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))))) beta) |
(/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64)))) (+.f64 alpha i) (*.f64 beta (+.f64 alpha i))) beta) |
(/ (+ (* beta (+ alpha i)) (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))))) beta) |
(/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64)))) (+.f64 alpha i) (*.f64 beta (+.f64 alpha i))) beta) |
(/ (+ (* beta (+ alpha i)) (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))))) beta) |
(/.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64)))) (+.f64 alpha i) (*.f64 beta (+.f64 alpha i))) beta) |
(/ (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))))) beta) |
(/.f64 (*.f64 (*.f64 (+.f64 alpha i) i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))))) beta) |
(/ (+ (* beta (* i (+ alpha i))) (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))))) beta) |
(/.f64 (fma.f64 (*.f64 beta i) (+.f64 alpha i) (*.f64 (*.f64 (+.f64 alpha i) i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64)))))) beta) |
(/ (+ (* beta (* i (+ alpha i))) (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))))) beta) |
(/.f64 (fma.f64 (*.f64 beta i) (+.f64 alpha i) (*.f64 (*.f64 (+.f64 alpha i) i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64)))))) beta) |
(/ (+ (* beta (* i (+ alpha i))) (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))))) beta) |
(/.f64 (fma.f64 (*.f64 beta i) (+.f64 alpha i) (*.f64 (*.f64 (+.f64 alpha i) i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64)))))) beta) |
(/ (pow beta 2) i) |
(/.f64 (*.f64 beta beta) i) |
(/ (pow beta 2) i) |
(/.f64 (*.f64 beta beta) i) |
(/ (pow beta 2) i) |
(/.f64 (*.f64 beta beta) i) |
(/ (pow beta 2) i) |
(/.f64 (*.f64 beta beta) i) |
(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)) |
(fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) beta (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) |
(+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) |
(fma.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) beta) beta (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) |
(+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) |
(fma.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) beta) beta (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))) |
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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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(+ (* 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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(+ (* 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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(/ (- (+ (* 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)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (*.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)))) (+.f64 alpha 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 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)))) (-.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 (fma.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 i i) (neg.f64 (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 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 (-.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 (+.f64 alpha i) i))))) (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha))))) (pow.f64 beta #s(literal 3 binary64))) #s(literal -1 binary64) (-.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)) |
(* -1/32 (/ (pow beta 2) (pow i 2))) |
(/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 beta beta)) (*.f64 i i)) |
(* (pow beta 2) (- (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta (pow i 2)))) (* -1/256 (/ (+ (* 8 (/ alpha (pow i 2))) (* 40 (/ alpha (pow i 2)))) beta))) (+ (* -1/16 (/ (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2))) beta)) (* 1/32 (/ 1 (pow i 2)))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (/.f64 alpha (*.f64 i i)) #s(literal 48 binary64)) beta) #s(literal -1/256 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 alpha #s(literal 0 binary64))) (*.f64 beta (*.f64 i i)))) (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 alpha (*.f64 i i))) beta) #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 i i)))) (*.f64 beta beta)) |
(* (pow beta 2) (- (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* (pow beta 2) (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta (pow i 2)))) (+ (* -1/8 (/ alpha (* (pow beta 2) i))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) (pow i 2))) (* 20 (/ (pow alpha 2) (pow i 2)))) (pow beta 2))) (+ (* -1/256 (/ (+ (* 8 (/ alpha (pow i 2))) (* 40 (/ alpha (pow i 2)))) beta)) (+ (* 1/8 (/ alpha (* (pow beta 2) i))) (/ 1/16 (pow beta 2)))))))) (+ (* -1/16 (/ (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2))) beta)) (+ (* -1/16 (/ (pow alpha 2) (* (pow beta 2) (pow i 2)))) (* 1/32 (/ 1 (pow i 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 alpha #s(literal 0 binary64)) alpha) (*.f64 (*.f64 beta beta) (*.f64 i i))) #s(literal -2 binary64) (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 alpha #s(literal 0 binary64)) beta) (*.f64 i i)) #s(literal -2 binary64) (fma.f64 (/.f64 (/.f64 alpha (*.f64 beta beta)) i) #s(literal -1/8 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (*.f64 i i)) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 20 binary64) (*.f64 alpha alpha)) (*.f64 i i))) (*.f64 beta beta)) #s(literal -1/256 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 alpha (*.f64 i i)) #s(literal 48 binary64)) beta) #s(literal -1/256 binary64) (fma.f64 (/.f64 (/.f64 alpha (*.f64 beta beta)) i) #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 beta beta))))))) (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 alpha (*.f64 i i))) beta) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (*.f64 beta beta) (*.f64 i i))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 i i)))))) (*.f64 beta beta)) |
(* (pow beta 2) (- (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* (pow beta 2) (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta (pow i 2)))) (+ (* -1/8 (/ alpha (* (pow beta 2) i))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) (pow i 2))) (* 20 (/ (pow alpha 2) (pow i 2)))) (pow beta 2))) (+ (* -1/256 (/ (+ (* 8 (/ alpha (pow i 2))) (* 40 (/ alpha (pow i 2)))) beta)) (+ (* 1/8 (/ alpha (* (pow beta 2) i))) (/ 1/16 (pow beta 2)))))))) (+ (* -1/16 (/ (+ (* 2 (/ alpha (pow i 2))) (/ alpha (pow i 2))) beta)) (+ (* -1/16 (/ (pow alpha 2) (* (pow beta 2) (pow i 2)))) (* 1/32 (/ 1 (pow i 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 alpha #s(literal 0 binary64)) alpha) (*.f64 (*.f64 beta beta) (*.f64 i i))) #s(literal -2 binary64) (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 alpha #s(literal 0 binary64)) beta) (*.f64 i i)) #s(literal -2 binary64) (fma.f64 (/.f64 (/.f64 alpha (*.f64 beta beta)) i) #s(literal -1/8 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (*.f64 i i)) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 20 binary64) (*.f64 alpha alpha)) (*.f64 i i))) (*.f64 beta beta)) #s(literal -1/256 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 alpha (*.f64 i i)) #s(literal 48 binary64)) beta) #s(literal -1/256 binary64) (fma.f64 (/.f64 (/.f64 alpha (*.f64 beta beta)) i) #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 beta beta))))))) (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 alpha (*.f64 i i))) beta) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (*.f64 beta beta) (*.f64 i i))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 i i)))))) (*.f64 beta beta)) |
(* 1/32 (/ (pow beta 2) (pow i 2))) |
(/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 beta beta)) (*.f64 i i)) |
(* (pow beta 2) (- (+ (* -1/16 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) (* beta i))) (* 1/32 (/ 1 (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta (pow i 2)))) (* -1/256 (/ (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))) (* beta i)))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 alpha i)) beta) i) #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 i i))) (fma.f64 (/.f64 (/.f64 (*.f64 (/.f64 alpha i) #s(literal 48 binary64)) beta) i) #s(literal -1/256 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 alpha #s(literal 0 binary64))) (*.f64 beta (*.f64 i i))))) (*.f64 beta beta)) |
(* (pow beta 2) (- (+ (* -1/16 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) (* beta i))) (+ (* -1/16 (/ (pow alpha 2) (* (pow beta 2) (pow i 2)))) (* 1/32 (/ 1 (pow i 2))))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* (pow beta 2) (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta (pow i 2)))) (+ (* -1/8 (/ alpha (* (pow beta 2) i))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) (* (pow beta 2) i))) (+ (* -1/256 (/ (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))) (* beta i))) (* 1/8 (/ alpha (* (pow beta 2) i)))))))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 alpha i)) beta) i) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (*.f64 beta beta) (*.f64 i i))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 i i)))) (fma.f64 (/.f64 (*.f64 (*.f64 alpha #s(literal 0 binary64)) alpha) (*.f64 (*.f64 beta beta) (*.f64 i i))) #s(literal -2 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 alpha #s(literal 0 binary64)) beta) (*.f64 i i)) #s(literal -2 binary64) (fma.f64 (/.f64 (/.f64 alpha (*.f64 beta beta)) i) #s(literal -1/8 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) i) #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 alpha alpha) i) #s(literal 20 binary64))) (*.f64 (*.f64 beta beta) i)) #s(literal -1/256 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 (/.f64 alpha i) #s(literal 48 binary64)) beta) i) #s(literal -1/256 binary64) (*.f64 (/.f64 (/.f64 alpha (*.f64 beta beta)) i) #s(literal 1/8 binary64)))))))) (*.f64 beta beta)) |
(* (pow beta 2) (- (+ (* -1/16 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) (* beta i))) (+ (* -1/16 (/ (pow alpha 2) (* (pow beta 2) (pow i 2)))) (* 1/32 (/ 1 (pow i 2))))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* (pow beta 2) (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta (pow i 2)))) (+ (* -1/8 (/ alpha (* (pow beta 2) i))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) (* (pow beta 2) i))) (+ (* -1/256 (/ (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))) (* beta i))) (* 1/8 (/ alpha (* (pow beta 2) i)))))))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 alpha i)) beta) i) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (*.f64 beta beta) (*.f64 i i))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 i i)))) (fma.f64 (/.f64 (*.f64 (*.f64 alpha #s(literal 0 binary64)) alpha) (*.f64 (*.f64 beta beta) (*.f64 i i))) #s(literal -2 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 alpha #s(literal 0 binary64)) beta) (*.f64 i i)) #s(literal -2 binary64) (fma.f64 (/.f64 (/.f64 alpha (*.f64 beta beta)) i) #s(literal -1/8 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) i) #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 alpha alpha) i) #s(literal 20 binary64))) (*.f64 (*.f64 beta beta) i)) #s(literal -1/256 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 (/.f64 alpha i) #s(literal 48 binary64)) beta) i) #s(literal -1/256 binary64) (*.f64 (/.f64 (/.f64 alpha (*.f64 beta beta)) i) #s(literal 1/8 binary64)))))))) (*.f64 beta beta)) |
(* 1/32 (/ (pow beta 2) i)) |
(*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64)) |
(* (pow beta 2) (- (+ (* -1/16 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) beta)) (* 1/32 (/ 1 i))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta i))) (* -1/256 (/ (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))) beta))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 alpha i)) beta) #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) i)) (fma.f64 (/.f64 (*.f64 (/.f64 alpha i) #s(literal 48 binary64)) beta) #s(literal -1/256 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 alpha #s(literal 0 binary64))) (*.f64 beta i)))) (*.f64 beta beta)) |
(* (pow beta 2) (- (+ (* -1/16 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) beta)) (+ (* -1/16 (/ (pow alpha 2) (* (pow beta 2) i))) (* 1/32 (/ 1 i)))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* (pow beta 2) i))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta i))) (+ (* -1/8 (/ alpha (pow beta 2))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) (pow beta 2))) (+ (* -1/256 (/ (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))) beta)) (* 1/8 (/ alpha (pow beta 2)))))))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 alpha i)) beta) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (*.f64 beta beta) i)) #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))) (fma.f64 (*.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (*.f64 alpha #s(literal 0 binary64)) i)) #s(literal -2 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 alpha #s(literal 0 binary64)) beta) i) #s(literal -2 binary64) (fma.f64 (/.f64 alpha (*.f64 beta beta)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) i) #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 alpha alpha) i) #s(literal 20 binary64))) (*.f64 beta beta)) #s(literal -1/256 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 alpha i) #s(literal 48 binary64)) beta) #s(literal -1/256 binary64) (*.f64 (/.f64 alpha (*.f64 beta beta)) #s(literal 1/8 binary64)))))))) (*.f64 beta beta)) |
(* (pow beta 2) (- (+ (* -1/16 (/ (+ (* 2 (/ alpha i)) (/ alpha i)) beta)) (+ (* -1/16 (/ (pow alpha 2) (* (pow beta 2) i))) (* 1/32 (/ 1 i)))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (* (pow beta 2) i))) (+ (* -2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (* beta i))) (+ (* -1/8 (/ alpha (pow beta 2))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) (pow beta 2))) (+ (* -1/256 (/ (+ (* 8 (/ alpha i)) (* 40 (/ alpha i))) beta)) (* 1/8 (/ alpha (pow beta 2)))))))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 alpha i)) beta) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (*.f64 beta beta) i)) #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))) (fma.f64 (*.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 (*.f64 alpha #s(literal 0 binary64)) i)) #s(literal -2 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 alpha #s(literal 0 binary64)) beta) i) #s(literal -2 binary64) (fma.f64 (/.f64 alpha (*.f64 beta beta)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) i) #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 alpha alpha) i) #s(literal 20 binary64))) (*.f64 beta beta)) #s(literal -1/256 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 alpha i) #s(literal 48 binary64)) beta) #s(literal -1/256 binary64) (*.f64 (/.f64 alpha (*.f64 beta beta)) #s(literal 1/8 binary64)))))))) (*.f64 beta 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 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)) (*.f64 (+.f64 alpha i) i)) 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)) |
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(/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta) |
(/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64)))) (+.f64 alpha i)) beta) |
(/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta) |
(/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64)))) (+.f64 alpha i)) beta) |
(/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta) |
(/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64)))) (+.f64 alpha i)) beta) |
(/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta) |
(/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64)))) (+.f64 alpha i)) 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))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) i (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) (+.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 #s(literal -1 binary64) (+.f64 alpha i))))) 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)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) i (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 i i)) (fma.f64 (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) i alpha)) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) (+.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 #s(literal -1 binary64) (+.f64 alpha i))))) (*.f64 (neg.f64 i) (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 alpha i)))))) beta) #s(literal -1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) (+.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 #s(literal -1 binary64) (+.f64 alpha i)))))) beta))) (*.f64 beta beta)) |
(/ (+ (* -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)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) i (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 i i)) (fma.f64 (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) i alpha)) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) (+.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 #s(literal -1 binary64) (+.f64 alpha i))))) (*.f64 (neg.f64 i) (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 alpha i)))))) beta)) #s(literal -4 binary64) (-.f64 (fma.f64 (*.f64 i (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (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 2 binary64) i alpha) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (+.f64 alpha i))) beta)) #s(literal -1 binary64) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) (+.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 #s(literal -1 binary64) (+.f64 alpha i))))) (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)) beta) (*.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 i i)))) (fma.f64 (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) i alpha)) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) (+.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 #s(literal -1 binary64) (+.f64 alpha i))))) (*.f64 (neg.f64 i) (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 alpha i))))))) beta) #s(literal -1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) (+.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 #s(literal -1 binary64) (+.f64 alpha i)))))) beta))) (*.f64 beta beta)) |
(* -1/32 (/ (pow beta 2) (pow i 2))) |
(/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 beta beta)) (*.f64 i i)) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1/256 (+ (* -40 (/ alpha (pow i 2))) (* -8 (/ alpha (pow i 2))))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (pow i 2)))) (* -1/16 (+ (* -2 (/ alpha (pow i 2))) (* -1 (/ alpha (pow i 2)))))) beta)) (* 1/32 (/ 1 (pow i 2))))) |
(*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 alpha #s(literal 0 binary64)) (*.f64 i i)) #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 alpha (*.f64 i i)) #s(literal -48 binary64)) #s(literal -1/256 binary64))) (*.f64 (*.f64 (/.f64 alpha (*.f64 i i)) #s(literal -3 binary64)) #s(literal -1/16 binary64))) beta)) (/.f64 #s(literal 1/32 binary64) (*.f64 i i))) (*.f64 beta beta)) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1/16 (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (pow i 2))) (+ (* -1/8 (/ alpha i)) (+ (* -1/256 (+ (* 4 (/ (- (pow alpha 2) 1) (pow i 2))) (* 20 (/ (pow alpha 2) (pow i 2))))) (* 1/8 (/ alpha i)))))) (* -1/16 (/ (pow alpha 2) (pow i 2)))) beta)) (+ (* -1/256 (+ (* -40 (/ alpha (pow i 2))) (* -8 (/ alpha (pow i 2))))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (pow i 2))))) (* -1/16 (+ (* -2 (/ alpha (pow i 2))) (* -1 (/ alpha (pow i 2)))))) beta)) (* 1/32 (/ 1 (pow i 2))))) |
(*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 alpha #s(literal 0 binary64)) alpha) (*.f64 i i)) #s(literal -2 binary64) (fma.f64 (/.f64 alpha i) #s(literal -1/8 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (*.f64 i i)) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 20 binary64) (*.f64 alpha alpha)) (*.f64 i i))) #s(literal -1/256 binary64) (*.f64 (/.f64 alpha i) #s(literal 1/8 binary64))))) #s(literal 1/16 binary64)) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 alpha alpha)) (*.f64 i i))) beta) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (*.f64 alpha #s(literal 0 binary64)) (*.f64 i i)) #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 alpha (*.f64 i i)) #s(literal -48 binary64)) #s(literal -1/256 binary64))) (*.f64 (*.f64 (/.f64 alpha (*.f64 i i)) #s(literal -3 binary64)) #s(literal -1/16 binary64)))) beta)) (/.f64 #s(literal 1/32 binary64) (*.f64 i i))) (*.f64 beta beta)) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1/16 (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (pow i 2))) (+ (* -1/8 (/ alpha i)) (+ (* -1/256 (+ (* 4 (/ (- (pow alpha 2) 1) (pow i 2))) (* 20 (/ (pow alpha 2) (pow i 2))))) (* 1/8 (/ alpha i)))))) (* -1/16 (/ (pow alpha 2) (pow i 2)))) beta)) (+ (* -1/256 (+ (* -40 (/ alpha (pow i 2))) (* -8 (/ alpha (pow i 2))))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (pow i 2))))) (* -1/16 (+ (* -2 (/ alpha (pow i 2))) (* -1 (/ alpha (pow i 2)))))) beta)) (* 1/32 (/ 1 (pow i 2))))) |
(*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 alpha #s(literal 0 binary64)) alpha) (*.f64 i i)) #s(literal -2 binary64) (fma.f64 (/.f64 alpha i) #s(literal -1/8 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) (*.f64 i i)) #s(literal 4 binary64) (/.f64 (*.f64 #s(literal 20 binary64) (*.f64 alpha alpha)) (*.f64 i i))) #s(literal -1/256 binary64) (*.f64 (/.f64 alpha i) #s(literal 1/8 binary64))))) #s(literal 1/16 binary64)) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 alpha alpha)) (*.f64 i i))) beta) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (*.f64 alpha #s(literal 0 binary64)) (*.f64 i i)) #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 alpha (*.f64 i i)) #s(literal -48 binary64)) #s(literal -1/256 binary64))) (*.f64 (*.f64 (/.f64 alpha (*.f64 i i)) #s(literal -3 binary64)) #s(literal -1/16 binary64)))) beta)) (/.f64 #s(literal 1/32 binary64) (*.f64 i i))) (*.f64 beta beta)) |
(* 1/32 (/ (pow beta 2) (pow i 2))) |
(/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 beta beta)) (*.f64 i i)) |
(* (pow beta 2) (+ (* -1 (/ (- (* -1/16 (/ (+ (* -2 (/ alpha i)) (* -1 (/ alpha i))) i)) (+ (* -1/256 (/ (+ (* -40 (/ alpha i)) (* -8 (/ alpha i))) i)) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (pow i 2))))) beta)) (* 1/32 (/ 1 (pow i 2))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 alpha i) #s(literal -3 binary64)) i) #s(literal -1/16 binary64)) (fma.f64 (/.f64 (*.f64 (/.f64 alpha i) #s(literal -48 binary64)) i) #s(literal -1/256 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 0 binary64))) (*.f64 i i)))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 i i))) (*.f64 beta beta)) |
(* (pow beta 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow alpha 2) (pow i 2))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (pow i 2))) (+ (* -1/8 (/ alpha i)) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) i)) (* 1/8 (/ alpha i)))))) beta)) (* -1/16 (/ (+ (* -2 (/ alpha i)) (* -1 (/ alpha i))) i))) (+ (* -1/256 (/ (+ (* -40 (/ alpha i)) (* -8 (/ alpha i))) i)) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (pow i 2))))) beta)) (* 1/32 (/ 1 (pow i 2))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (/.f64 alpha i) #s(literal -3 binary64)) i) #s(literal -1/16 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 alpha alpha)) (*.f64 i i)) (fma.f64 (/.f64 (*.f64 (*.f64 alpha #s(literal 0 binary64)) alpha) (*.f64 i i)) #s(literal -2 binary64) (fma.f64 (/.f64 alpha i) #s(literal -1/8 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) i) #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 alpha alpha) i) #s(literal 20 binary64))) i) #s(literal -1/256 binary64) (*.f64 (/.f64 alpha i) #s(literal 1/8 binary64)))))) beta))) (fma.f64 (/.f64 (*.f64 (/.f64 alpha i) #s(literal -48 binary64)) i) #s(literal -1/256 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 0 binary64))) (*.f64 i i)))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 i i))) (*.f64 beta beta)) |
(* (pow beta 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow alpha 2) (pow i 2))) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) (pow i 2))) (+ (* -1/8 (/ alpha i)) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i))) i)) (* 1/8 (/ alpha i)))))) beta)) (* -1/16 (/ (+ (* -2 (/ alpha i)) (* -1 (/ alpha i))) i))) (+ (* -1/256 (/ (+ (* -40 (/ alpha i)) (* -8 (/ alpha i))) i)) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) (pow i 2))))) beta)) (* 1/32 (/ 1 (pow i 2))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (/.f64 alpha i) #s(literal -3 binary64)) i) #s(literal -1/16 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 alpha alpha)) (*.f64 i i)) (fma.f64 (/.f64 (*.f64 (*.f64 alpha #s(literal 0 binary64)) alpha) (*.f64 i i)) #s(literal -2 binary64) (fma.f64 (/.f64 alpha i) #s(literal -1/8 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) i) #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 alpha alpha) i) #s(literal 20 binary64))) i) #s(literal -1/256 binary64) (*.f64 (/.f64 alpha i) #s(literal 1/8 binary64)))))) beta))) (fma.f64 (/.f64 (*.f64 (/.f64 alpha i) #s(literal -48 binary64)) i) #s(literal -1/256 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 alpha #s(literal 0 binary64))) (*.f64 i i)))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 i i))) (*.f64 beta beta)) |
(* 1/32 (/ (pow beta 2) i)) |
(*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64)) |
(* (pow beta 2) (+ (* -1 (/ (- (* -1/16 (+ (* -2 (/ alpha i)) (* -1 (/ alpha i)))) (+ (* -1/256 (+ (* -40 (/ alpha i)) (* -8 (/ alpha i)))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i)))) beta)) (* 1/32 (/ 1 i)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 alpha i) #s(literal -3 binary64)) #s(literal -1/16 binary64)) (fma.f64 (/.f64 (*.f64 alpha #s(literal 0 binary64)) i) #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 alpha i) #s(literal -48 binary64)) #s(literal -1/256 binary64)))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) i)) (*.f64 beta beta)) |
(* (pow beta 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow alpha 2) i)) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) (+ (* -1/8 alpha) (+ (* -1/256 (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i)))) (* 1/8 alpha))))) beta)) (* -1/16 (+ (* -2 (/ alpha i)) (* -1 (/ alpha i))))) (+ (* -1/256 (+ (* -40 (/ alpha i)) (* -8 (/ alpha i)))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i)))) beta)) (* 1/32 (/ 1 i)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (/.f64 alpha i) #s(literal -3 binary64)) #s(literal -1/16 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 alpha alpha) i) #s(literal -1/16 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 alpha #s(literal 0 binary64)) alpha) i) #s(literal -2 binary64) (fma.f64 #s(literal -1/8 binary64) alpha (fma.f64 (fma.f64 (/.f64 (fma.f64 alpha alpha #s(literal -1 binary64)) i) #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 alpha alpha) i) #s(literal 20 binary64))) #s(literal -1/256 binary64) (*.f64 #s(literal 1/8 binary64) alpha))))) beta))) (fma.f64 (/.f64 (*.f64 alpha #s(literal 0 binary64)) i) #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 alpha i) #s(literal -48 binary64)) #s(literal -1/256 binary64)))) beta) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) i)) (*.f64 beta beta)) |
(* (pow beta 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow alpha 2) i)) (+ (* -2 (/ (* alpha (+ (* -1/8 alpha) (* 1/8 alpha))) i)) (+ (* -1/8 alpha) (+ (* -1/256 (+ (* 4 (/ (- (pow alpha 2) 1) i)) (* 20 (/ (pow alpha 2) i)))) (* 1/8 alpha))))) beta)) (* -1/16 (+ (* -2 (/ alpha i)) (* -1 (/ alpha i))))) (+ (* -1/256 (+ (* -40 (/ alpha i)) (* -8 (/ alpha i)))) (* 2 (/ (+ (* -1/8 alpha) (* 1/8 alpha)) i)))) beta)) (* 1/32 (/ 1 i)))) |
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(* -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))))) (* 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 (/ (- (* (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))) (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))))) (* 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 (/ (- (* (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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(*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) i (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 i i)) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) (+.f64 alpha i) (*.f64 (neg.f64 i) (+.f64 alpha i))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (*.f64 #s(literal -1 binary64) (+.f64 alpha i))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))))) beta)) #s(literal -2 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) (+.f64 alpha i) (*.f64 (neg.f64 i) (+.f64 alpha i))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (*.f64 #s(literal -1 binary64) (+.f64 alpha i))))) beta) (*.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 i i))) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha)) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) (+.f64 alpha i) (*.f64 (neg.f64 i) (+.f64 alpha i))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (*.f64 #s(literal -1 binary64) (+.f64 alpha i))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))))))) beta) #s(literal -1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) (+.f64 alpha i) (*.f64 (neg.f64 i) (+.f64 alpha i))) i (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (*.f64 #s(literal -1 binary64) (+.f64 alpha i)))))) 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))))) (* 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 (/ (- (* (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)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) i (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 i i)) (fma.f64 (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) i alpha)) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) (+.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 #s(literal -1 binary64) (+.f64 alpha i))))) (*.f64 (neg.f64 i) (*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 alpha i)))))) beta) #s(literal -1 binary64) (fma.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) (+.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 #s(literal -1 binary64) (+.f64 alpha i)))))) beta))) (*.f64 beta beta)) |
(/ (+ (* -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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(/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta) |
(/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64)))) (+.f64 alpha i)) beta) |
(/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta) |
(/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64)))) (+.f64 alpha i)) beta) |
(/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta) |
(/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64)))) (+.f64 alpha i)) beta) |
(/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta) |
(/.f64 (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64)))) (+.f64 alpha i)) beta) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
(*.f64 (/.f64 (*.f64 i 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)) (-.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 (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 i i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))) (/.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 (-.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) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
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(- (+ (* -1/16 (/ (pow beta 2) i)) (* alpha (- (+ (* -1/16 (+ (* 2 (/ beta i)) (/ beta i))) (* 1/32 (/ alpha i))) (+ (* -2 (+ (* -1/8 (/ beta i)) (* 1/8 (/ beta i)))) (* -1/256 (+ (* 8 (/ beta i)) (* 40 (/ beta i)))))))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (+ (* -1/8 beta) (+ (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) i)) (* 1/8 beta))))) |
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(- (+ (* -1/16 (/ (pow beta 2) i)) (* alpha (- (+ (* -1/16 (+ (* 2 (/ beta i)) (/ beta i))) (* 1/32 (/ alpha i))) (+ (* -2 (+ (* -1/8 (/ beta i)) (* 1/8 (/ beta i)))) (* -1/256 (+ (* 8 (/ beta i)) (* 40 (/ beta i)))))))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (+ (* -1/8 beta) (+ (* -1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (* 20 (pow beta 2))) i)) (* 1/8 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 (- (/ (* 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 1 binary64))))) |
(/ (pow i 2) (pow beta 2)) |
(/.f64 (*.f64 i i) (*.f64 beta beta)) |
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(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))) |
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(/ i (pow beta 2)) |
(/.f64 i (*.f64 beta beta)) |
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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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(+.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 (* (+ beta i) (+ (* beta i) (pow i 2)))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
(*.f64 (/.f64 i (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 beta i) i) (+.f64 beta i)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(+ (* alpha (- (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* i (* (+ beta i) (* (+ (* beta i) (pow 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))))) (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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(+ (* alpha (- (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* i (* (+ beta i) (* (+ (* 4 beta) (* 8 i)) (+ (* beta i) (pow i 2))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (+ (/ (* (+ (* (+ (* 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))) (+ (/ (* i (* (+ beta i) (* (+ (* beta i) (pow 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))) (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* i (* (+ beta i) (* (+ (* beta i) (pow 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 (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1) (- (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* i (* (+ beta i) (* (+ (* beta i) (pow 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))))))) (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (+ (/ (* i (* (+ beta i) (* (+ (* beta i) (pow 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))) (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* i (* (+ beta i) (* (+ (* beta i) (pow 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)))))) (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (* (+ beta i) (* (+ (* beta i) (pow 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))))) (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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(/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow (+ beta (* 2 i)) 2)) |
(/.f64 (*.f64 (*.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) |
(+ (* alpha (- (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (pow (+ beta (* 2 i)) 2)) (/ (* i (* (+ beta i) (* (+ (* 2 beta) (* 4 i)) (+ (* beta i) (pow i 2))))) (pow (+ beta (* 2 i)) 4)))) (/ (* i (* (+ beta i) (+ (* beta i) (pow 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 (+.f64 beta i) i) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta i) i))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) alpha (/.f64 (*.f64 (*.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta 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)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (pow (+ beta (* 2 i)) 2)) (/ (* i (* (+ beta i) (* (+ (* 2 beta) (* 4 i)) (+ (* beta i) (pow i 2))))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (pow (+ beta (* 2 i)) 2))) (/ (* i (* (+ beta i) (* (+ (* 2 beta) (* 4 i)) (+ (* beta i) (pow i 2))))) (pow (+ beta (* 2 i)) 4)))) (/ (* i (* (+ beta i) (+ (* beta i) (pow 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 (+.f64 beta i) i) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta 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) i) (*.f64 (+.f64 beta 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 (+.f64 beta i) i) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta i) i))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (/.f64 (*.f64 (*.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* i (* (+ beta i) (* (+ (* 2 beta) (* 4 i)) (+ (* beta i) (pow i 2))))) (pow (+ beta (* 2 i)) 6)) (+ (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (pow (+ beta (* 2 i)) 2)) (/ (* i (* (+ beta i) (* (+ (* 2 beta) (* 4 i)) (+ (* beta i) (pow i 2))))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2))))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2))) (+ (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (pow (+ beta (* 2 i)) 2)) (/ (* i (* (+ beta i) (* (+ (* 2 beta) (* 4 i)) (+ (* beta i) (pow i 2))))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ (* beta i) (+ (pow i 2) (pow (+ beta i) 2)))) (pow (+ beta (* 2 i)) 2))) (/ (* i (* (+ beta i) (* (+ (* 2 beta) (* 4 i)) (+ (* beta i) (pow i 2))))) (pow (+ beta (* 2 i)) 4)))) (/ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta 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 (+.f64 beta i) i) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta 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) i) (*.f64 (+.f64 beta 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 (+.f64 beta i) i) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta 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) i) (*.f64 (+.f64 beta 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 (+.f64 beta i) i) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta i) i))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (/.f64 (*.f64 (*.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) |
(- (* 2 i) (* 4 i)) |
(*.f64 #s(literal -2 binary64) i) |
(- (+ (* -1 alpha) (* 2 i)) (* 4 i)) |
(fma.f64 #s(literal -1 binary64) alpha (*.f64 #s(literal -2 binary64) i)) |
(- (+ (* -1 alpha) (* 2 i)) (* 4 i)) |
(fma.f64 #s(literal -1 binary64) alpha (*.f64 #s(literal -2 binary64) i)) |
(- (+ (* -1 alpha) (* 2 i)) (* 4 i)) |
(fma.f64 #s(literal -1 binary64) alpha (*.f64 #s(literal -2 binary64) i)) |
(+ i (/ (* i (- (* 2 i) (* 4 i))) beta)) |
(fma.f64 i (*.f64 (/.f64 i beta) #s(literal -2 binary64)) i) |
(+ i (+ (* alpha (- (+ 1 (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (* 4 (/ i beta)))) (/ (* i (- (* 2 i) (* 4 i))) beta))) |
(+.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 i beta) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 i beta) #s(literal 4 binary64))) alpha (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) i) i) beta)) i) |
(+ i (+ (* alpha (- (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ i beta)) (* 2 (/ i beta))))) (* 4 (/ i beta)))) (/ (* i (- (* 2 i) (* 4 i))) beta))) |
(+.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (/.f64 i beta) #s(literal 1 binary64) (/.f64 (neg.f64 alpha) beta)) #s(literal 1 binary64)) (*.f64 (/.f64 i beta) #s(literal 4 binary64))) alpha (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) i) i) beta)) i) |
(+ i (+ (* alpha (- (+ 1 (+ (* -1 (/ alpha beta)) (+ (* -1 (/ i beta)) (* 2 (/ i beta))))) (* 4 (/ i beta)))) (/ (* i (- (* 2 i) (* 4 i))) beta))) |
(+.f64 (fma.f64 (-.f64 (+.f64 (fma.f64 (/.f64 i beta) #s(literal 1 binary64) (/.f64 (neg.f64 alpha) beta)) #s(literal 1 binary64)) (*.f64 (/.f64 i beta) #s(literal 4 binary64))) alpha (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) i) i) beta)) i) |
(* i (+ i (/ (* i (- (* 2 i) (* 4 i))) beta))) |
(*.f64 (fma.f64 i (*.f64 (/.f64 i beta) #s(literal -2 binary64)) i) i) |
(+ (* alpha (* i (- (+ 1 (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (* 4 (/ i beta))))) (* i (+ i (/ (* i (- (* 2 i) (* 4 i))) beta)))) |
(fma.f64 (fma.f64 i (*.f64 (/.f64 i beta) #s(literal -2 binary64)) i) i (*.f64 (*.f64 alpha i) (-.f64 (fma.f64 (/.f64 i beta) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 i beta) #s(literal 4 binary64))))) |
(+ (* alpha (+ (* -1 (/ (* alpha i) beta)) (* i (- (+ 1 (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (* 4 (/ i beta)))))) (* i (+ i (/ (* i (- (* 2 i) (* 4 i))) beta)))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 i beta) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 i beta) #s(literal 4 binary64))) i (neg.f64 (*.f64 alpha (/.f64 i beta)))) alpha (*.f64 (fma.f64 i (*.f64 (/.f64 i beta) #s(literal -2 binary64)) i) i)) |
(+ (* alpha (+ (* -1 (/ (* alpha i) beta)) (* i (- (+ 1 (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (* 4 (/ i beta)))))) (* i (+ i (/ (* i (- (* 2 i) (* 4 i))) beta)))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 (/.f64 i beta) #s(literal 1 binary64) #s(literal 1 binary64)) (*.f64 (/.f64 i beta) #s(literal 4 binary64))) i (neg.f64 (*.f64 alpha (/.f64 i beta)))) alpha (*.f64 (fma.f64 i (*.f64 (/.f64 i beta) #s(literal -2 binary64)) 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 beta #s(literal 2 binary64))) 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 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) 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 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) alpha) alpha (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) |
(pow i 2) |
(*.f64 i i) |
(+ (* alpha i) (pow i 2)) |
(*.f64 (+.f64 alpha i) i) |
(+ (* alpha i) (pow i 2)) |
(*.f64 (+.f64 alpha i) i) |
(+ (* alpha i) (pow i 2)) |
(*.f64 (+.f64 alpha i) 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 (-.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) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
(*.f64 (/.f64 (*.f64 i 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)) (-.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)))) |
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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 1 binary64))))) |
(/ (* i (- (* 2 i) (* 4 i))) beta) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) i) i) beta) |
(+ (* alpha (- (+ (* -1 (/ i beta)) (* 2 (/ i beta))) (* 4 (/ i beta)))) (/ (* i (- (* 2 i) (* 4 i))) beta)) |
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(+ (* alpha (- (+ (* -1 (/ alpha beta)) (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (* 4 (/ i beta)))) (/ (* i (- (* 2 i) (* 4 i))) beta)) |
(fma.f64 (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) (fma.f64 (/.f64 i beta) #s(literal -1 binary64) (*.f64 (/.f64 i beta) #s(literal -2 binary64)))) alpha (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) i) i) beta)) |
(+ (* alpha (- (+ (* -1 (/ alpha beta)) (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (* 4 (/ i beta)))) (/ (* i (- (* 2 i) (* 4 i))) beta)) |
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(/ (* 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 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta)) (*.f64 (+.f64 beta i) i)) 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 (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 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)) (*.f64 (fma.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i) (neg.f64 (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 (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 (+.f64 beta i) i))))) (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta))))) (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)) |
(* -1/32 (/ (pow alpha 2) (pow i 2))) |
(/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 alpha alpha)) (*.f64 i i)) |
(* (pow alpha 2) (- (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha (pow i 2)))) (* -1/256 (/ (+ (* 8 (/ beta (pow i 2))) (* 40 (/ beta (pow i 2)))) alpha))) (+ (* -1/16 (/ (+ (* 2 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (* 1/32 (/ 1 (pow i 2)))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (/.f64 beta (*.f64 i i)) #s(literal 48 binary64)) alpha) #s(literal -1/256 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 0 binary64))) (*.f64 alpha (*.f64 i i)))) (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 beta (*.f64 i i))) alpha) #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 i i)))) (*.f64 alpha alpha)) |
(* (pow alpha 2) (- (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* (pow alpha 2) (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha (pow i 2)))) (+ (* -1/8 (/ beta (* (pow alpha 2) i))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (* 20 (/ (pow beta 2) (pow i 2)))) (pow alpha 2))) (+ (* -1/256 (/ (+ (* 8 (/ beta (pow i 2))) (* 40 (/ beta (pow i 2)))) alpha)) (+ (* 1/8 (/ beta (* (pow alpha 2) i))) (/ 1/16 (pow alpha 2)))))))) (+ (* -1/16 (/ (+ (* 2 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (+ (* -1/16 (/ (pow beta 2) (* (pow alpha 2) (pow i 2)))) (* 1/32 (/ 1 (pow i 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 beta #s(literal 0 binary64)) beta) (*.f64 (*.f64 alpha alpha) (*.f64 i i))) #s(literal -2 binary64) (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 beta #s(literal 0 binary64)) alpha) (*.f64 i i)) #s(literal -2 binary64) (fma.f64 (/.f64 beta (*.f64 (*.f64 alpha alpha) i)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) (*.f64 i i)) #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 beta beta) #s(literal 20 binary64)) (*.f64 i i))) (*.f64 alpha alpha)) #s(literal -1/256 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 beta (*.f64 i i)) #s(literal 48 binary64)) alpha) #s(literal -1/256 binary64) (fma.f64 (/.f64 beta (*.f64 (*.f64 alpha alpha) i)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 alpha alpha))))))) (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 beta (*.f64 i i))) alpha) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 beta beta) (*.f64 (*.f64 alpha alpha) (*.f64 i i))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 i i)))))) (*.f64 alpha alpha)) |
(* (pow alpha 2) (- (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* (pow alpha 2) (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha (pow i 2)))) (+ (* -1/8 (/ beta (* (pow alpha 2) i))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (* 20 (/ (pow beta 2) (pow i 2)))) (pow alpha 2))) (+ (* -1/256 (/ (+ (* 8 (/ beta (pow i 2))) (* 40 (/ beta (pow i 2)))) alpha)) (+ (* 1/8 (/ beta (* (pow alpha 2) i))) (/ 1/16 (pow alpha 2)))))))) (+ (* -1/16 (/ (+ (* 2 (/ beta (pow i 2))) (/ beta (pow i 2))) alpha)) (+ (* -1/16 (/ (pow beta 2) (* (pow alpha 2) (pow i 2)))) (* 1/32 (/ 1 (pow i 2))))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 beta #s(literal 0 binary64)) beta) (*.f64 (*.f64 alpha alpha) (*.f64 i i))) #s(literal -2 binary64) (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 beta #s(literal 0 binary64)) alpha) (*.f64 i i)) #s(literal -2 binary64) (fma.f64 (/.f64 beta (*.f64 (*.f64 alpha alpha) i)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) (*.f64 i i)) #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 beta beta) #s(literal 20 binary64)) (*.f64 i i))) (*.f64 alpha alpha)) #s(literal -1/256 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 beta (*.f64 i i)) #s(literal 48 binary64)) alpha) #s(literal -1/256 binary64) (fma.f64 (/.f64 beta (*.f64 (*.f64 alpha alpha) i)) #s(literal 1/8 binary64) (/.f64 #s(literal 1/16 binary64) (*.f64 alpha alpha))))))) (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 beta (*.f64 i i))) alpha) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 beta beta) (*.f64 (*.f64 alpha alpha) (*.f64 i i))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 i i)))))) (*.f64 alpha alpha)) |
(* 1/32 (/ (pow alpha 2) (pow i 2))) |
(/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 alpha alpha)) (*.f64 i i)) |
(* (pow alpha 2) (- (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) (* alpha i))) (* 1/32 (/ 1 (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha (pow i 2)))) (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) (* alpha i)))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 beta i)) alpha) i) #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 i i))) (fma.f64 (/.f64 (/.f64 (*.f64 (/.f64 beta i) #s(literal 48 binary64)) alpha) i) #s(literal -1/256 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 0 binary64))) (*.f64 alpha (*.f64 i i))))) (*.f64 alpha alpha)) |
(* (pow alpha 2) (- (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) (* alpha i))) (+ (* -1/16 (/ (pow beta 2) (* (pow alpha 2) (pow i 2)))) (* 1/32 (/ 1 (pow i 2))))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* (pow alpha 2) (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha (pow i 2)))) (+ (* -1/8 (/ beta (* (pow alpha 2) i))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) (* (pow alpha 2) i))) (+ (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) (* alpha i))) (* 1/8 (/ beta (* (pow alpha 2) i)))))))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 beta i)) alpha) i) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 beta beta) (*.f64 (*.f64 alpha alpha) (*.f64 i i))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 i i)))) (fma.f64 (/.f64 (*.f64 (*.f64 beta #s(literal 0 binary64)) beta) (*.f64 (*.f64 alpha alpha) (*.f64 i i))) #s(literal -2 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 beta #s(literal 0 binary64)) alpha) (*.f64 i i)) #s(literal -2 binary64) (fma.f64 (/.f64 beta (*.f64 (*.f64 alpha alpha) i)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) i) #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 20 binary64))) (*.f64 (*.f64 alpha alpha) i)) #s(literal -1/256 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 (/.f64 beta i) #s(literal 48 binary64)) alpha) i) #s(literal -1/256 binary64) (*.f64 (/.f64 beta (*.f64 (*.f64 alpha alpha) i)) #s(literal 1/8 binary64)))))))) (*.f64 alpha alpha)) |
(* (pow alpha 2) (- (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) (* alpha i))) (+ (* -1/16 (/ (pow beta 2) (* (pow alpha 2) (pow i 2)))) (* 1/32 (/ 1 (pow i 2))))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* (pow alpha 2) (pow i 2)))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha (pow i 2)))) (+ (* -1/8 (/ beta (* (pow alpha 2) i))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) (* (pow alpha 2) i))) (+ (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) (* alpha i))) (* 1/8 (/ beta (* (pow alpha 2) i)))))))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 beta i)) alpha) i) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 beta beta) (*.f64 (*.f64 alpha alpha) (*.f64 i i))) #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 i i)))) (fma.f64 (/.f64 (*.f64 (*.f64 beta #s(literal 0 binary64)) beta) (*.f64 (*.f64 alpha alpha) (*.f64 i i))) #s(literal -2 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 beta #s(literal 0 binary64)) alpha) (*.f64 i i)) #s(literal -2 binary64) (fma.f64 (/.f64 beta (*.f64 (*.f64 alpha alpha) i)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) i) #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 20 binary64))) (*.f64 (*.f64 alpha alpha) i)) #s(literal -1/256 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 (/.f64 beta i) #s(literal 48 binary64)) alpha) i) #s(literal -1/256 binary64) (*.f64 (/.f64 beta (*.f64 (*.f64 alpha alpha) i)) #s(literal 1/8 binary64)))))))) (*.f64 alpha alpha)) |
(* 1/32 (/ (pow alpha 2) i)) |
(*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 alpha alpha) i)) |
(* (pow alpha 2) (- (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) alpha)) (* 1/32 (/ 1 i))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha i))) (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) alpha))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 beta i)) alpha) #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) i)) (fma.f64 (/.f64 (*.f64 (/.f64 beta i) #s(literal 48 binary64)) alpha) #s(literal -1/256 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 0 binary64))) (*.f64 alpha i)))) (*.f64 alpha alpha)) |
(* (pow alpha 2) (- (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) alpha)) (+ (* -1/16 (/ (pow beta 2) (* (pow alpha 2) i))) (* 1/32 (/ 1 i)))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* (pow alpha 2) i))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha i))) (+ (* -1/8 (/ beta (pow alpha 2))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) (pow alpha 2))) (+ (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) alpha)) (* 1/8 (/ beta (pow alpha 2)))))))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 beta i)) alpha) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 beta beta) (*.f64 (*.f64 alpha alpha) i)) #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))) (fma.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta #s(literal 0 binary64)) i)) #s(literal -2 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 beta #s(literal 0 binary64)) alpha) i) #s(literal -2 binary64) (fma.f64 (/.f64 beta (*.f64 alpha alpha)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) i) #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 20 binary64))) (*.f64 alpha alpha)) #s(literal -1/256 binary64) (fma.f64 (/.f64 beta (*.f64 alpha alpha)) #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (/.f64 beta i) #s(literal 48 binary64)) alpha) #s(literal -1/256 binary64)))))))) (*.f64 alpha alpha)) |
(* (pow alpha 2) (- (+ (* -1/16 (/ (+ (* 2 (/ beta i)) (/ beta i)) alpha)) (+ (* -1/16 (/ (pow beta 2) (* (pow alpha 2) i))) (* 1/32 (/ 1 i)))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (* (pow alpha 2) i))) (+ (* -2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (* alpha i))) (+ (* -1/8 (/ beta (pow alpha 2))) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) (pow alpha 2))) (+ (* -1/256 (/ (+ (* 8 (/ beta i)) (* 40 (/ beta i))) alpha)) (* 1/8 (/ beta (pow alpha 2)))))))))) |
(*.f64 (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 3 binary64) (/.f64 beta i)) alpha) #s(literal -1/16 binary64) (fma.f64 (/.f64 (*.f64 beta beta) (*.f64 (*.f64 alpha alpha) i)) #s(literal -1/16 binary64) (/.f64 #s(literal 1/32 binary64) i))) (fma.f64 (*.f64 (/.f64 beta (*.f64 alpha alpha)) (/.f64 (*.f64 beta #s(literal 0 binary64)) i)) #s(literal -2 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 beta #s(literal 0 binary64)) alpha) i) #s(literal -2 binary64) (fma.f64 (/.f64 beta (*.f64 alpha alpha)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) i) #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 20 binary64))) (*.f64 alpha alpha)) #s(literal -1/256 binary64) (fma.f64 (/.f64 beta (*.f64 alpha alpha)) #s(literal 1/8 binary64) (*.f64 (/.f64 (*.f64 (/.f64 beta i) #s(literal 48 binary64)) alpha) #s(literal -1/256 binary64)))))))) (*.f64 alpha 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 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta)) (*.f64 (+.f64 beta i) i)) 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)) |
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(* -1 (/ (* (pow alpha 2) i) beta)) |
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(pow alpha 2) |
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(* alpha i) |
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(/ (* i (+ beta i)) (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)) |
(/.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)) |
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(* -1 (/ (pow alpha 2) beta)) |
(neg.f64 (/.f64 (*.f64 alpha alpha) beta)) |
(* (pow alpha 2) (- (+ (* -1 (/ i (* alpha beta))) (* 2 (/ i (* alpha beta)))) (+ (* 4 (/ i (* alpha beta))) (/ 1 beta)))) |
(*.f64 (-.f64 (*.f64 (/.f64 i (*.f64 beta alpha)) #s(literal 1 binary64)) (fma.f64 (/.f64 i (*.f64 beta alpha)) #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) beta))) (*.f64 alpha alpha)) |
(* (pow alpha 2) (- (+ (* -1 (/ i (* alpha beta))) (+ (* 2 (/ i (* alpha beta))) (/ (* i (- (* 2 i) (* 4 i))) (* (pow alpha 2) beta)))) (+ (* 4 (/ i (* alpha beta))) (/ 1 beta)))) |
(*.f64 (-.f64 (fma.f64 (/.f64 i (*.f64 beta alpha)) #s(literal 1 binary64) (*.f64 (/.f64 i (*.f64 alpha alpha)) (*.f64 (/.f64 i beta) #s(literal -2 binary64)))) (fma.f64 (/.f64 i (*.f64 beta alpha)) #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) beta))) (*.f64 alpha alpha)) |
(* (pow alpha 2) (- (+ (* -1 (/ i (* alpha beta))) (+ (* 2 (/ i (* alpha beta))) (/ (* i (- (* 2 i) (* 4 i))) (* (pow alpha 2) beta)))) (+ (* 4 (/ i (* alpha beta))) (/ 1 beta)))) |
(*.f64 (-.f64 (fma.f64 (/.f64 i (*.f64 beta alpha)) #s(literal 1 binary64) (*.f64 (/.f64 i (*.f64 alpha alpha)) (*.f64 (/.f64 i beta) #s(literal -2 binary64)))) (fma.f64 (/.f64 i (*.f64 beta alpha)) #s(literal 4 binary64) (/.f64 #s(literal 1 binary64) beta))) (*.f64 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))))) (* 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 i (fma.f64 #s(literal 2 binary64) i beta)) (*.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 i (fma.f64 #s(literal 2 binary64) i beta)) (*.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 i (fma.f64 #s(literal 2 binary64) i beta)) (*.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)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) i (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (/.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 i (fma.f64 #s(literal 2 binary64) i beta)) (*.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 -4 binary64) (-.f64 (fma.f64 (*.f64 i (/.f64 (*.f64 (*.f64 #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 2 binary64) i beta) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (+.f64 beta i))) alpha)) #s(literal -1 binary64) (fma.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 i (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 #s(literal -1 binary64) (+.f64 beta 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)) alpha) (*.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 i (fma.f64 #s(literal 2 binary64) i beta)) (*.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 i (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha))) (*.f64 alpha alpha)) |
(* -1/32 (/ (pow alpha 2) (pow i 2))) |
(/.f64 (*.f64 #s(literal -1/32 binary64) (*.f64 alpha alpha)) (*.f64 i i)) |
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1/256 (+ (* -40 (/ beta (pow i 2))) (* -8 (/ beta (pow i 2))))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (pow i 2)))) (* -1/16 (+ (* -2 (/ beta (pow i 2))) (* -1 (/ beta (pow i 2)))))) alpha)) (* 1/32 (/ 1 (pow i 2))))) |
(*.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 beta #s(literal 0 binary64)) (*.f64 i i)) #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 beta (*.f64 i i)) #s(literal -48 binary64)) #s(literal -1/256 binary64))) (*.f64 (*.f64 (/.f64 beta (*.f64 i i)) #s(literal -3 binary64)) #s(literal -1/16 binary64))) alpha)) (/.f64 #s(literal 1/32 binary64) (*.f64 i i))) (*.f64 alpha alpha)) |
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1/16 (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (pow i 2))) (+ (* -1/8 (/ beta i)) (+ (* -1/256 (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (* 20 (/ (pow beta 2) (pow i 2))))) (* 1/8 (/ beta i)))))) (* -1/16 (/ (pow beta 2) (pow i 2)))) alpha)) (+ (* -1/256 (+ (* -40 (/ beta (pow i 2))) (* -8 (/ beta (pow i 2))))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (pow i 2))))) (* -1/16 (+ (* -2 (/ beta (pow i 2))) (* -1 (/ beta (pow i 2)))))) alpha)) (* 1/32 (/ 1 (pow i 2))))) |
(*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 beta #s(literal 0 binary64)) beta) (*.f64 i i)) #s(literal -2 binary64) (fma.f64 (/.f64 beta i) #s(literal -1/8 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) (*.f64 i i)) #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 beta beta) #s(literal 20 binary64)) (*.f64 i i))) #s(literal -1/256 binary64) (*.f64 (/.f64 beta i) #s(literal 1/8 binary64))))) #s(literal 1/16 binary64)) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 beta beta)) (*.f64 i i))) alpha) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (*.f64 beta #s(literal 0 binary64)) (*.f64 i i)) #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 beta (*.f64 i i)) #s(literal -48 binary64)) #s(literal -1/256 binary64))) (*.f64 (*.f64 (/.f64 beta (*.f64 i i)) #s(literal -3 binary64)) #s(literal -1/16 binary64)))) alpha)) (/.f64 #s(literal 1/32 binary64) (*.f64 i i))) (*.f64 alpha alpha)) |
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (+ 1/16 (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (pow i 2))) (+ (* -1/8 (/ beta i)) (+ (* -1/256 (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (* 20 (/ (pow beta 2) (pow i 2))))) (* 1/8 (/ beta i)))))) (* -1/16 (/ (pow beta 2) (pow i 2)))) alpha)) (+ (* -1/256 (+ (* -40 (/ beta (pow i 2))) (* -8 (/ beta (pow i 2))))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (pow i 2))))) (* -1/16 (+ (* -2 (/ beta (pow i 2))) (* -1 (/ beta (pow i 2)))))) alpha)) (* 1/32 (/ 1 (pow i 2))))) |
(*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (*.f64 beta #s(literal 0 binary64)) beta) (*.f64 i i)) #s(literal -2 binary64) (fma.f64 (/.f64 beta i) #s(literal -1/8 binary64) (fma.f64 (fma.f64 (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) (*.f64 i i)) #s(literal 4 binary64) (/.f64 (*.f64 (*.f64 beta beta) #s(literal 20 binary64)) (*.f64 i i))) #s(literal -1/256 binary64) (*.f64 (/.f64 beta i) #s(literal 1/8 binary64))))) #s(literal 1/16 binary64)) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 beta beta)) (*.f64 i i))) alpha) #s(literal -1 binary64) (-.f64 (fma.f64 (/.f64 (*.f64 beta #s(literal 0 binary64)) (*.f64 i i)) #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 beta (*.f64 i i)) #s(literal -48 binary64)) #s(literal -1/256 binary64))) (*.f64 (*.f64 (/.f64 beta (*.f64 i i)) #s(literal -3 binary64)) #s(literal -1/16 binary64)))) alpha)) (/.f64 #s(literal 1/32 binary64) (*.f64 i i))) (*.f64 alpha alpha)) |
(* 1/32 (/ (pow alpha 2) (pow i 2))) |
(/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 alpha alpha)) (*.f64 i i)) |
(* (pow alpha 2) (+ (* -1 (/ (- (* -1/16 (/ (+ (* -2 (/ beta i)) (* -1 (/ beta i))) i)) (+ (* -1/256 (/ (+ (* -40 (/ beta i)) (* -8 (/ beta i))) i)) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (pow i 2))))) alpha)) (* 1/32 (/ 1 (pow i 2))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (/.f64 beta i) #s(literal -3 binary64)) i) #s(literal -1/16 binary64)) (fma.f64 (/.f64 (*.f64 (/.f64 beta i) #s(literal -48 binary64)) i) #s(literal -1/256 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 0 binary64))) (*.f64 i i)))) alpha) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 i i))) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow beta 2) (pow i 2))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (pow i 2))) (+ (* -1/8 (/ beta i)) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) i)) (* 1/8 (/ beta i)))))) alpha)) (* -1/16 (/ (+ (* -2 (/ beta i)) (* -1 (/ beta i))) i))) (+ (* -1/256 (/ (+ (* -40 (/ beta i)) (* -8 (/ beta i))) i)) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (pow i 2))))) alpha)) (* 1/32 (/ 1 (pow i 2))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (/.f64 beta i) #s(literal -3 binary64)) i) #s(literal -1/16 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 beta beta)) (*.f64 i i)) (fma.f64 (/.f64 (*.f64 (*.f64 beta #s(literal 0 binary64)) beta) (*.f64 i i)) #s(literal -2 binary64) (fma.f64 (/.f64 beta i) #s(literal -1/8 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) i) #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 20 binary64))) i) #s(literal -1/256 binary64) (*.f64 (/.f64 beta i) #s(literal 1/8 binary64)))))) alpha))) (fma.f64 (/.f64 (*.f64 (/.f64 beta i) #s(literal -48 binary64)) i) #s(literal -1/256 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 0 binary64))) (*.f64 i i)))) alpha) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 i i))) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow beta 2) (pow i 2))) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) (pow i 2))) (+ (* -1/8 (/ beta i)) (+ (* -1/256 (/ (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i))) i)) (* 1/8 (/ beta i)))))) alpha)) (* -1/16 (/ (+ (* -2 (/ beta i)) (* -1 (/ beta i))) i))) (+ (* -1/256 (/ (+ (* -40 (/ beta i)) (* -8 (/ beta i))) i)) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) (pow i 2))))) alpha)) (* 1/32 (/ 1 (pow i 2))))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (/.f64 beta i) #s(literal -3 binary64)) i) #s(literal -1/16 binary64) (neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 beta beta)) (*.f64 i i)) (fma.f64 (/.f64 (*.f64 (*.f64 beta #s(literal 0 binary64)) beta) (*.f64 i i)) #s(literal -2 binary64) (fma.f64 (/.f64 beta i) #s(literal -1/8 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) i) #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 20 binary64))) i) #s(literal -1/256 binary64) (*.f64 (/.f64 beta i) #s(literal 1/8 binary64)))))) alpha))) (fma.f64 (/.f64 (*.f64 (/.f64 beta i) #s(literal -48 binary64)) i) #s(literal -1/256 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 beta #s(literal 0 binary64))) (*.f64 i i)))) alpha) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) (*.f64 i i))) (*.f64 alpha alpha)) |
(* 1/32 (/ (pow alpha 2) i)) |
(*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 alpha alpha) i)) |
(* (pow alpha 2) (+ (* -1 (/ (- (* -1/16 (+ (* -2 (/ beta i)) (* -1 (/ beta i)))) (+ (* -1/256 (+ (* -40 (/ beta i)) (* -8 (/ beta i)))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)))) alpha)) (* 1/32 (/ 1 i)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 (/.f64 beta i) #s(literal -3 binary64)) #s(literal -1/16 binary64)) (fma.f64 (/.f64 (*.f64 beta #s(literal 0 binary64)) i) #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 beta i) #s(literal -48 binary64)) #s(literal -1/256 binary64)))) alpha) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) i)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow beta 2) i)) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (+ (* -1/8 beta) (+ (* -1/256 (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i)))) (* 1/8 beta))))) alpha)) (* -1/16 (+ (* -2 (/ beta i)) (* -1 (/ beta i))))) (+ (* -1/256 (+ (* -40 (/ beta i)) (* -8 (/ beta i)))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)))) alpha)) (* 1/32 (/ 1 i)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (/.f64 beta i) #s(literal -3 binary64)) #s(literal -1/16 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal -1/16 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 beta #s(literal 0 binary64)) beta) i) #s(literal -2 binary64) (fma.f64 #s(literal -1/8 binary64) beta (fma.f64 (fma.f64 (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) i) #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 20 binary64))) #s(literal -1/256 binary64) (*.f64 #s(literal 1/8 binary64) beta))))) alpha))) (fma.f64 (/.f64 (*.f64 beta #s(literal 0 binary64)) i) #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 beta i) #s(literal -48 binary64)) #s(literal -1/256 binary64)))) alpha) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) i)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ (* -1 (/ (- (+ (* -1 (/ (- (* -1/16 (/ (pow beta 2) i)) (+ (* -2 (/ (* beta (+ (* -1/8 beta) (* 1/8 beta))) i)) (+ (* -1/8 beta) (+ (* -1/256 (+ (* 4 (/ (- (pow beta 2) 1) i)) (* 20 (/ (pow beta 2) i)))) (* 1/8 beta))))) alpha)) (* -1/16 (+ (* -2 (/ beta i)) (* -1 (/ beta i))))) (+ (* -1/256 (+ (* -40 (/ beta i)) (* -8 (/ beta i)))) (* 2 (/ (+ (* -1/8 beta) (* 1/8 beta)) i)))) alpha)) (* 1/32 (/ 1 i)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (/.f64 beta i) #s(literal -3 binary64)) #s(literal -1/16 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal -1/16 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 beta #s(literal 0 binary64)) beta) i) #s(literal -2 binary64) (fma.f64 #s(literal -1/8 binary64) beta (fma.f64 (fma.f64 (/.f64 (fma.f64 beta beta #s(literal -1 binary64)) i) #s(literal 4 binary64) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 20 binary64))) #s(literal -1/256 binary64) (*.f64 #s(literal 1/8 binary64) beta))))) alpha))) (fma.f64 (/.f64 (*.f64 beta #s(literal 0 binary64)) i) #s(literal 2 binary64) (*.f64 (*.f64 (/.f64 beta i) #s(literal -48 binary64)) #s(literal -1/256 binary64)))) alpha) #s(literal -1 binary64) (/.f64 #s(literal 1/32 binary64) i)) (*.f64 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))))) (* 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 i (fma.f64 #s(literal 2 binary64) i beta)) (*.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 i (fma.f64 #s(literal 2 binary64) i beta)) (*.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 i (fma.f64 #s(literal 2 binary64) i beta)) (*.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)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) i (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (/.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 i (fma.f64 #s(literal 2 binary64) i beta)) (*.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 -4 binary64) (-.f64 (fma.f64 (*.f64 i (/.f64 (*.f64 (*.f64 #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 2 binary64) i beta) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (+.f64 beta i))) alpha)) #s(literal -1 binary64) (fma.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 i (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 #s(literal -1 binary64) (+.f64 beta 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)) alpha) (*.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 i (fma.f64 #s(literal 2 binary64) i beta)) (*.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 i (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha))) (*.f64 alpha alpha)) |
(/ (* 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))))))) |
(*.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)))) |
(* -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 (pow beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(* -1 (* alpha (- (* -1 (/ i (* alpha (pow beta 2)))) (/ 1 (pow beta 2))))) |
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 i) (*.f64 (*.f64 beta beta) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))) |
(* -1 (* alpha (- (* -1 (/ i (* alpha (pow beta 2)))) (/ 1 (pow beta 2))))) |
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 i) (*.f64 (*.f64 beta beta) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))) |
(* -1 (* alpha (- (* -1 (/ i (* alpha (pow beta 2)))) (/ 1 (pow beta 2))))) |
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 i) (*.f64 (*.f64 beta beta) alpha)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))) |
(/ alpha (pow beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(/ alpha (pow beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(/ alpha (pow beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(/ alpha (pow beta 2)) |
(/.f64 alpha (*.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 i (fma.f64 #s(literal 2 binary64) i beta)) (*.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 i (fma.f64 #s(literal 2 binary64) i beta)) (*.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 i (fma.f64 #s(literal 2 binary64) i beta)) (*.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 |
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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)) (+ (* i (* (+ beta i) (+ (* beta i) (pow i 2)))) (/ (* (- (* i (+ (* -1 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ 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 (+ (* beta i) (pow i 2))) (* (+ 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))) (pow alpha 2))) |
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(/ (+ (* -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 (* 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) beta)) |
(neg.f64 (/.f64 (*.f64 alpha alpha) beta)) |
(* (pow alpha 2) (- (* -1 (/ (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta)) alpha)) (/ 1 beta))) |
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(* (pow alpha 2) (- (* -1 (/ (+ (* -1 (/ (* i (- (* 2 i) (* 4 i))) (* alpha beta))) (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta))) alpha)) (/ 1 beta))) |
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(* (pow alpha 2) (- (* -1 (/ (+ (* -1 (/ (* i (- (* 2 i) (* 4 i))) (* alpha beta))) (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta))) alpha)) (/ 1 beta))) |
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(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(/.f64 (*.f64 (*.f64 beta alpha) i) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.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))) (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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(/ (- (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (pow i 2)) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) #s(literal 0 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))) #s(literal -1/256 binary64))) (*.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/16 binary64))) (*.f64 i i)) |
(/ (- (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (+ (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))) (* i (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (pow i 2)) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) #s(literal 0 binary64)) (fma.f64 (*.f64 (+.f64 beta alpha) #s(literal 0 binary64)) i (*.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))) #s(literal -1/256 binary64)))) (*.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/16 binary64))) (*.f64 i i)) |
(/ (- (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (+ (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))) (* i (+ (* -1/8 (+ alpha beta)) (+ (* 1/16 i) (* 1/8 (+ alpha beta))))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (pow i 2)) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) #s(literal 0 binary64)) (fma.f64 (fma.f64 (+.f64 beta alpha) #s(literal -1/8 binary64) (fma.f64 (+.f64 beta alpha) #s(literal 1/8 binary64) (*.f64 #s(literal 1/16 binary64) i))) i (*.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))) #s(literal -1/256 binary64)))) (*.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1/16 binary64))) (*.f64 i i)) |
(/ (- (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (+ (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))) (* i (+ (* -1/8 (+ alpha beta)) (+ (* 1/16 i) (* 1/8 (+ alpha beta))))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (pow i 2)) |
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(/ (- (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) (pow i 2)) |
(/.f64 (-.f64 (*.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)) (*.f64 (+.f64 beta alpha) #s(literal 0 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))) #s(literal -1/256 binary64)))) (*.f64 i i)) |
(/ (- (+ (* -1 (* i (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) (pow i 2)) |
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(/ (- (+ (* -1 (* i (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) (pow i 2)) |
(/.f64 (fma.f64 (neg.f64 i) (*.f64 (+.f64 beta alpha) #s(literal 0 binary64)) (-.f64 (*.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)) (*.f64 (+.f64 beta alpha) #s(literal 0 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))) #s(literal -1/256 binary64))))) (*.f64 i i)) |
(/ (- (+ (* -1 (* i (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) (pow i 2)) |
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(/ (- (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) i) |
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(/ (- (+ (* -1 (* i (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) i) |
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(/ (- (+ (* -1 (* i (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) i) |
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(/ (- (+ (* -1 (* i (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/16 (+ (* alpha beta) (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2)))))) i) |
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(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(/.f64 (*.f64 (*.f64 beta alpha) i) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.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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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 i) (pow beta 2)) |
(*.f64 alpha (/.f64 i (*.f64 beta beta))) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(*.f64 (+.f64 (/.f64 i (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) i) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(*.f64 (+.f64 (/.f64 i (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) i) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(*.f64 (+.f64 (/.f64 i (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) i) |
(/ alpha (pow beta 2)) |
(/.f64 alpha (*.f64 beta beta)) |
(+ (/ alpha (pow beta 2)) (/ i (pow beta 2))) |
(+.f64 (/.f64 i (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) |
(+ (/ alpha (pow beta 2)) (/ i (pow beta 2))) |
(+.f64 (/.f64 i (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) |
(+ (/ alpha (pow beta 2)) (/ i (pow beta 2))) |
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(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(/.f64 (*.f64 (*.f64 beta alpha) i) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.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))) (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 i) (pow beta 2)) |
(*.f64 alpha (/.f64 i (*.f64 beta beta))) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(*.f64 (+.f64 (/.f64 i (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) i) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(*.f64 (+.f64 (/.f64 i (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) i) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(*.f64 (+.f64 (/.f64 i (*.f64 beta beta)) (/.f64 alpha (*.f64 beta beta))) i) |
(/ (* alpha i) beta) |
(*.f64 alpha (/.f64 i beta)) |
(* i (+ (/ alpha beta) (/ i beta))) |
(*.f64 (+.f64 (/.f64 i beta) (/.f64 alpha beta)) i) |
(* i (+ (/ alpha beta) (/ i beta))) |
(*.f64 (+.f64 (/.f64 i beta) (/.f64 alpha beta)) i) |
(* i (+ (/ alpha beta) (/ i beta))) |
(*.f64 (+.f64 (/.f64 i beta) (/.f64 alpha beta)) i) |
(/ 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)) |
(- (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 beta alpha) i) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.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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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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(* 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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(* i (+ alpha (/ (* alpha (- alpha (* 2 alpha))) beta))) |
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(* i (+ alpha (+ (* i (- (+ 1 (+ (* -2 (/ alpha beta)) (/ alpha beta))) (* 2 (/ alpha beta)))) (/ (* alpha (- alpha (* 2 alpha))) beta)))) |
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(pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) |
(+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) |
(fma.f64 (*.f64 (+.f64 beta alpha) i) #s(literal 4 binary64) (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 i (+.f64 beta alpha))) 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 i (+.f64 beta alpha))) i (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) |
(* alpha i) |
(*.f64 alpha i) |
(* i (+ alpha i)) |
(*.f64 (+.f64 alpha i) i) |
(* i (+ alpha i)) |
(*.f64 (+.f64 alpha i) i) |
(* i (+ alpha i)) |
(*.f64 (+.f64 alpha 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 (+.f64 (fma.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))))) 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 (-.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 beta alpha) i) (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.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 (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))))) i (*.f64 (/.f64 alpha (+.f64 beta alpha)) (/.f64 beta (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))))) 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 alpha (pow.f64 (+.f64 beta alpha) #s(literal 3 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))) beta) (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.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 #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 (+.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 beta alpha)) (/.f64 beta (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))))) 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 (-.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 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 32 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))) (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))) (-.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 alpha (pow.f64 (+.f64 beta alpha) #s(literal 3 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))) beta) (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.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 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(pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))))) i)) (fma.f64 (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 3 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))) beta) (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.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 #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 (+.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 beta alpha)) (/.f64 beta (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))))) i) |
(/ (* alpha (- alpha (* 2 alpha))) beta) |
(/.f64 (*.f64 (-.f64 alpha (*.f64 alpha #s(literal 2 binary64))) alpha) beta) |
(+ (* i (- (+ (* -2 (/ alpha beta)) (/ alpha beta)) (* 2 (/ alpha beta)))) (/ (* alpha (- alpha (* 2 alpha))) beta)) |
(fma.f64 (fma.f64 (/.f64 alpha beta) #s(literal -1 binary64) (*.f64 (/.f64 alpha beta) #s(literal -2 binary64))) i (/.f64 (*.f64 (-.f64 alpha (*.f64 alpha #s(literal 2 binary64))) alpha) beta)) |
(+ (* i (- (+ (* -2 (/ alpha beta)) (+ (* -2 (/ i beta)) (/ alpha beta))) (* 2 (/ alpha beta)))) (/ (* alpha (- alpha (* 2 alpha))) beta)) |
(fma.f64 (-.f64 (fma.f64 (/.f64 alpha beta) #s(literal -2 binary64) (fma.f64 (/.f64 i beta) #s(literal -2 binary64) (/.f64 alpha beta))) (*.f64 (/.f64 alpha beta) #s(literal 2 binary64))) i (/.f64 (*.f64 (-.f64 alpha (*.f64 alpha #s(literal 2 binary64))) alpha) beta)) |
(+ (* i (- (+ (* -2 (/ alpha beta)) (+ (* -2 (/ i beta)) (/ alpha beta))) (* 2 (/ alpha beta)))) (/ (* alpha (- alpha (* 2 alpha))) beta)) |
(fma.f64 (-.f64 (fma.f64 (/.f64 alpha beta) #s(literal -2 binary64) (fma.f64 (/.f64 i beta) #s(literal -2 binary64) (/.f64 alpha beta))) (*.f64 (/.f64 alpha beta) #s(literal 2 binary64))) i (/.f64 (*.f64 (-.f64 alpha (*.f64 alpha #s(literal 2 binary64))) alpha) beta)) |
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 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1/16 binary64) (*.f64 (+.f64 beta alpha) #s(literal -1/8 binary64))) 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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1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (+ (* -1/8 (/ (+ alpha beta) i)) (* 1/8 (/ (+ alpha beta) i)))) |
(fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 0 binary64) #s(literal 1/16 binary64)) |
(- (+ 1/16 (+ (* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) (pow i 2))) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) (pow i 2))))) (+ (* -1 (/ (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))) i)) (* -1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) |
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(- (+ 1/16 (+ (* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) (pow i 2))) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) (pow i 2))))) (+ (* -1 (/ (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))) i)) (* -1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) |
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(* -1 (/ (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta))) i)) |
(neg.f64 (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 0 binary64)) i)) |
(/ (- (+ (* -1 (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) (* -1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i))) (+ (* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)))) i) |
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(/ (- (+ (* -1 (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) (* -1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i))) (+ (* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)))) i) |
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(/ (- (+ (* -1 (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) (* -1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i))) (+ (* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)))) i) |
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(* -1 (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) |
(neg.f64 (*.f64 (+.f64 beta alpha) #s(literal 0 binary64))) |
(- (* -1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) (+ (* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i)) (+ (* -1/8 (+ alpha beta)) (+ (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)) (* 1/8 (+ alpha beta)))))) |
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(- (* -1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) (+ (* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i)) (+ (* -1/8 (+ alpha beta)) (+ (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)) (* 1/8 (+ alpha beta)))))) |
(-.f64 (*.f64 (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal -1/16 binary64)) (fma.f64 (*.f64 (+.f64 beta alpha) (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 0 binary64)) i)) #s(literal -2 binary64) (fma.f64 (+.f64 beta alpha) #s(literal -1/8 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))) i) #s(literal -1/256 binary64) (*.f64 (+.f64 beta alpha) #s(literal 1/8 binary64)))))) |
(- (* -1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) i)) (+ (* -2 (/ (* (+ alpha beta) (+ (* -1/8 (+ alpha beta)) (* 1/8 (+ alpha beta)))) i)) (+ (* -1/8 (+ alpha beta)) (+ (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (* 20 (pow (+ alpha beta) 2))) i)) (* 1/8 (+ alpha beta)))))) |
(-.f64 (*.f64 (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal -1/16 binary64)) (fma.f64 (*.f64 (+.f64 beta alpha) (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 0 binary64)) i)) #s(literal -2 binary64) (fma.f64 (+.f64 beta alpha) #s(literal -1/8 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))) i) #s(literal -1/256 binary64) (*.f64 (+.f64 beta alpha) #s(literal 1/8 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 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1/16 binary64) (*.f64 (+.f64 beta alpha) #s(literal -1/8 binary64))) 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 2) (pow beta 2)) |
(/.f64 (*.f64 i i) (*.f64 beta beta)) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 (/.f64 alpha (*.f64 beta beta)) i)) (*.f64 i i)) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 (/.f64 alpha (*.f64 beta beta)) i)) (*.f64 i i)) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 (/.f64 alpha (*.f64 beta beta)) i)) (*.f64 i i)) |
(/ i (pow beta 2)) |
(/.f64 i (*.f64 beta beta)) |
(* i (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 (/.f64 alpha (*.f64 beta beta)) i)) i) |
(* i (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 (/.f64 alpha (*.f64 beta beta)) i)) i) |
(* i (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 (/.f64 alpha (*.f64 beta beta)) 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 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1/16 binary64) (*.f64 (+.f64 beta alpha) #s(literal -1/8 binary64))) i)) |
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(* 1/4 (pow i 2)) |
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(* (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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(* -2 i) |
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(* (pow i 2) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (* alpha (- alpha (* 2 alpha))) (* beta (pow i 2))))))) (+ (* 2 (/ 1 beta)) (* 2 (/ alpha (* beta i)))))) |
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(* (pow i 2) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (* alpha (- alpha (* 2 alpha))) (* beta (pow i 2))))))) (+ (* 2 (/ 1 beta)) (* 2 (/ alpha (* beta i)))))) |
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(* -2 (/ (pow i 3) beta)) |
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(* (pow i 3) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ 1 i) (/ alpha (* beta i)))) (+ (* 2 (/ alpha (* beta i))) (* 2 (/ 1 beta))))) |
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(* (pow i 3) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (* alpha (- alpha (* 2 alpha))) (* beta (pow i 2))))))) (+ (* 2 (/ alpha (* beta i))) (* 2 (/ 1 beta))))) |
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(* (pow i 3) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (* alpha (- alpha (* 2 alpha))) (* beta (pow i 2))))))) (+ (* 2 (/ alpha (* beta i))) (* 2 (/ 1 beta))))) |
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(/ (pow beta 2) i) |
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(*.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))))) |
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(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2))))) |
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(pow i 2) |
(*.f64 i i) |
(* (pow i 2) (+ 1 (/ alpha i))) |
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(* (pow i 2) (+ 1 (/ alpha i))) |
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1/16 |
#s(literal 1/16 binary64) |
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1/16 |
#s(literal 1/16 binary64) |
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1/16 |
#s(literal 1/16 binary64) |
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1/16 |
#s(literal 1/16 binary64) |
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1/16 |
#s(literal 1/16 binary64) |
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(/ (pow i 2) (pow beta 2)) |
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1/16 |
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1/16 |
#s(literal 1/16 binary64) |
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(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 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1/16 binary64) (*.f64 (+.f64 beta alpha) #s(literal -1/8 binary64))))) (fma.f64 (*.f64 (+.f64 beta alpha) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1/16 binary64) (*.f64 (+.f64 beta alpha) #s(literal -1/8 binary64))) 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) #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 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1/16 binary64) (*.f64 (+.f64 beta alpha) #s(literal -1/8 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))) #s(literal -1/256 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 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1/16 binary64) (*.f64 (+.f64 beta alpha) #s(literal -1/8 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))) #s(literal -1/256 binary64)))) (+.f64 beta alpha)) i) #s(literal -2 binary64) (fma.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) (*.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 (fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1/16 binary64) (*.f64 (+.f64 beta alpha) #s(literal -1/8 binary64))) i)) #s(literal 1/16 binary64))))) i) #s(literal -1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1/16 binary64) (*.f64 (+.f64 beta alpha) #s(literal -1/8 binary64))))) i) #s(literal -1 binary64) #s(literal 1/16 binary64)) |
(* -2 (/ (pow i 2) beta)) |
(*.f64 (/.f64 (*.f64 i i) beta) #s(literal -2 binary64)) |
(* (pow i 2) (- (* -1 (/ (+ (* -1 (/ (- alpha (* 2 alpha)) beta)) (* 2 (/ alpha beta))) i)) (* 2 (/ 1 beta)))) |
(*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 alpha (*.f64 alpha #s(literal 2 binary64))) beta))) i)) (/.f64 #s(literal 2 binary64) beta)) (*.f64 i i)) |
(* (pow i 2) (- (* -1 (/ (+ (* -1 (/ (* alpha (- alpha (* 2 alpha))) (* beta i))) (+ (* -1 (/ (- alpha (* 2 alpha)) beta)) (* 2 (/ alpha beta)))) i)) (* 2 (/ 1 beta)))) |
(*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 alpha (/.f64 (/.f64 (-.f64 alpha (*.f64 alpha #s(literal 2 binary64))) beta) i)) #s(literal -1 binary64) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 alpha (*.f64 alpha #s(literal 2 binary64))) beta)))) i)) (/.f64 #s(literal 2 binary64) beta)) (*.f64 i i)) |
(* (pow i 2) (- (* -1 (/ (+ (* -1 (/ (* alpha (- alpha (* 2 alpha))) (* beta i))) (+ (* -1 (/ (- alpha (* 2 alpha)) beta)) (* 2 (/ alpha beta)))) i)) (* 2 (/ 1 beta)))) |
(*.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 alpha (/.f64 (/.f64 (-.f64 alpha (*.f64 alpha #s(literal 2 binary64))) beta) i)) #s(literal -1 binary64) (fma.f64 (/.f64 alpha beta) #s(literal 2 binary64) (neg.f64 (/.f64 (-.f64 alpha (*.f64 alpha #s(literal 2 binary64))) beta)))) i)) (/.f64 #s(literal 2 binary64) beta)) (*.f64 i i)) |
| 4 592× | lower-*.f32 |
| 4 572× | lower-*.f64 |
| 4 212× | lower-fma.f32 |
| 4 208× | lower-fma.f64 |
| 3 182× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 931 |
| 0 | 120 | 827 |
| 1 | 639 | 764 |
| 2 | 6449 | 764 |
| 0 | 8065 | 733 |
| 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)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) i))) |
(-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) i)) |
(/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 binary64))) i) |
#s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 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 i #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))) |
(*.f64 i #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.f64 beta beta)))) |
#s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.f64 beta beta))) |
(/.f64 alpha (*.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) i) beta)) |
(/.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) beta) |
(*.f64 (/.f64 (+.f64 i alpha) beta) i) |
(/.f64 (+.f64 i 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 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ 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))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 i alpha) i)) |
(-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) |
(+.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) (+.f64 alpha i)) |
(*.f64 i (+.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) (+.f64 alpha i))) |
(/.f64 (*.f64 beta 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 alpha) i) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) (+.f64 alpha i)))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) 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 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) 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)) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 beta beta) i))) i))) |
(*.f64 (-.f64 #s(literal 1/256 binary64) (pow.f64 (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 beta beta) i))) i) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 beta beta) i))) i) #s(literal 1/16 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1/4096 binary64) (pow.f64 (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 beta beta) i))) i) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 beta beta) i))) i) (+.f64 (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 beta beta) i))) i) #s(literal 1/16 binary64)) #s(literal 1/256 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 beta beta) i))) i) #s(literal 1/16 binary64)) (-.f64 #s(literal 1/256 binary64) (pow.f64 (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 beta beta) i))) i) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 beta beta) i))) i) (+.f64 (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 beta beta) i))) i) #s(literal 1/16 binary64)) #s(literal 1/256 binary64)) (-.f64 #s(literal 1/4096 binary64) (pow.f64 (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 beta beta) i))) i) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1/256 binary64) (*.f64 (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 beta beta) i))) (neg.f64 i)) (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 beta beta) i))) (neg.f64 i)))) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 #s(literal 1/32 binary64) (/.f64 (*.f64 beta beta) i))) (neg.f64 i)))) |
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(*.f64 (*.f64 (+.f64 alpha i) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))))) (pow.f64 beta #s(literal -1 binary64))) |
(*.f64 (+.f64 alpha i) (/.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta)) |
(*.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) (/.f64 (+.f64 alpha i) beta)) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) (/.f64 (+.f64 alpha i) beta))) |
(pow.f64 (/.f64 (/.f64 (/.f64 beta (+.f64 alpha i)) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 beta (+.f64 alpha i)) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (+.f64 alpha i) (-.f64 i alpha)) (/.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta)) (-.f64 i alpha)) |
(/.f64 (*.f64 (*.f64 (+.f64 alpha i) (-.f64 alpha i)) (/.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta)) (-.f64 alpha i)) |
(/.f64 (*.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta)) (fma.f64 alpha (-.f64 alpha i) (*.f64 i i))) |
(/.f64 (*.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta)) (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 alpha i)) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))))) (neg.f64 (neg.f64 beta))) |
(/.f64 (*.f64 (*.f64 (+.f64 alpha i) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))))) #s(literal 1 binary64)) beta) |
(/.f64 (*.f64 (*.f64 (+.f64 alpha i) (-.f64 i alpha)) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))))) (*.f64 (-.f64 i alpha) beta)) |
(/.f64 (*.f64 (*.f64 (+.f64 alpha i) (-.f64 alpha i)) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))))) (*.f64 (-.f64 alpha i) beta)) |
(/.f64 (*.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))))) (*.f64 (fma.f64 alpha (-.f64 alpha i) (*.f64 i i)) beta)) |
(/.f64 (*.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))))) (*.f64 (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)) beta)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 beta (+.f64 alpha i)) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))))))) |
(/.f64 (*.f64 (neg.f64 (+.f64 alpha i)) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))))) (neg.f64 beta)) |
(/.f64 (*.f64 (+.f64 alpha i) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))))) beta) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 beta (+.f64 alpha i)) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 beta (+.f64 alpha i)) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 (+.f64 alpha i)) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))))) beta)) |
(neg.f64 (/.f64 (*.f64 (+.f64 alpha i) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))))) (neg.f64 beta))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 beta (+.f64 alpha i)) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))))) #s(literal -1 binary64))) |
Compiled 84 890 to 5 020 computations (94.1% saved)
34 alts after pruning (31 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 594 | 15 | 1 609 |
| Fresh | 6 | 16 | 22 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 604 | 34 | 1 638 |
| Status | Accuracy | Program |
|---|---|---|
| 18.2% | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta)))) (*.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 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) | |
| 21.5% | (/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) (/.f64 (+.f64 alpha i) beta) (+.f64 alpha i)) i)) (+.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))) | |
| 26.7% | (/.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 (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))) | |
| 18.2% | (/.f64 (/.f64 #s(approx (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (*.f64 (*.f64 (+.f64 beta i) 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 alpha beta)) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) #s(literal -1 binary64))) | |
| 40.4% | (/.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 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.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))) | |
| 24.6% | (/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))) (fma.f64 #s(literal 2 binary64) i (+.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))) | |
| 19.4% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 i 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))) | |
| 15.6% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ 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)) #s(approx (+ (+ alpha beta) (* 2 i)) (+.f64 beta alpha))) #s(literal 1 binary64))) | |
| 15.6% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 i alpha) i)) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 beta beta)))) | |
| 39.0% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ 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))) | |
| 13.8% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* (+ alpha beta) i) (+ (* i i) (* alpha beta)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (* (+ i alpha) i) (*.f64 (+.f64 (/.f64 (*.f64 i i) alpha) 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))) | |
| 18.8% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (*.f64 i #s(approx (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (neg.f64 (/.f64 (*.f64 alpha 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))) | |
| 33.5% | (/.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)) (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 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| 15.1% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) (+.f64 alpha i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(approx (+ (+ alpha beta) (* 2 i)) (+.f64 beta alpha))) #s(literal 1 binary64))) | |
| 14.7% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) (+.f64 alpha i)))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 beta beta)))) | |
| 18.8% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 #s(approx (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta) (neg.f64 (/.f64 (*.f64 alpha alpha) 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))) | |
| 14.1% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i #s(approx (+ (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta) (+ alpha i)) (fma.f64 i (*.f64 (/.f64 i beta) #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))) | |
| 14.1% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (fma.f64 (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 i i) 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))) | |
| 33.5% | (/.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 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.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))) | |
| 30.6% | #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) (/.f64 beta i))) | |
| 30.5% | #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)) (/.f64 (/.f64 i (/.f64 beta (+.f64 i alpha))) beta)) | |
| 28.9% | #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 #s(approx (/ (+ i alpha) beta) (/.f64 i beta)) i) beta)) | |
| 11.8% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) 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 (/ (+ i alpha) beta) (/.f64 alpha beta)) i) beta)) | |
| 23.7% | #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 i (*.f64 (/.f64 beta (+.f64 i alpha)) beta))) | |
| 16.3% | #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)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha i) i)))) | |
| 30.1% | #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(literal 1 binary64) (/.f64 beta (*.f64 (/.f64 (+.f64 alpha i) beta) i)))) | |
| 22.3% | #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)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (*.f64 (+.f64 alpha i) i)) beta))) | |
| 62.6% | #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(literal 1/16 binary64) #s(approx (/ (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) i) (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 beta beta)) (*.f64 i i))))) | |
| ✓ | 30.6% | #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) (/.f64 i beta))) |
| 28.9% | #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(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))) | |
| 22.6% | #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 i (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 beta (+.f64 i alpha)) beta)) #s(literal -1 binary64))))) | |
| ✓ | 10.6% | #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 i #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))) |
| 15.8% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) 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 (/ (* (/ (+ i alpha) beta) i) beta) (/.f64 (*.f64 i i) (*.f64 beta beta)))) | |
| ✓ | 70.9% | #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 2 784 to 853 computations (69.4% 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 (/ (* (/ (+ i alpha) beta) i) beta) (/.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 i #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.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 i #s(approx (/ (+ alpha i) (* 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 i (/.f64 (+.f64 alpha i) (*.f64 beta beta)))) |
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(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta)))) (*.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 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.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)))) (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 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) 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 #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 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))) (fma.f64 #s(literal 2 binary64) i (+.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 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (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))))) (-.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 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.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 (*.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 (+.f64 (+.f64 alpha beta) i)) (fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta)))) (*.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 (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 (+.f64 (+.f64 alpha beta) i) i) (+.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)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64))) (-.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)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -2 binary64))) (*.f64 (+.f64 (+.f64 beta alpha) i) i)) (+.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 i (exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 beta (+.f64 i 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)) (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (/.f64 beta (+.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 (exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 alpha i))) #s(literal -1 binary64))) (/.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(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 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha)))) (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))) (+.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))) |
| 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))) |
4 calls:
| 47.0ms | i |
| 39.0ms | alpha |
| 27.0ms | beta |
| 25.0ms | (/.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 |
|---|---|---|
| 73.8% | 2 | alpha |
| 85.2% | 2 | beta |
| 82.6% | 2 | i |
| 78.7% | 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))) |
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 (/ (* (/ (+ i alpha) beta) i) beta) (/.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 i #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.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 i #s(approx (/ (+ alpha i) (* 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 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 (*.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))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) 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 #s(approx (/ (+ i alpha) 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 (/ (+ i alpha) beta) (/.f64 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 #s(literal 1/16 binary64) #s(approx (/ (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) i) (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 beta beta)) (*.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 (/.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 i (*.f64 (/.f64 beta (+.f64 i 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 (*.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) 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(literal 1/16 binary64) (/.f64 #s(approx (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) (*.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1/32 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)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (*.f64 (+.f64 alpha i) 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(literal 1 binary64) (/.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha 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 i #s(literal 1 binary64)) (*.f64 beta (/.f64 beta (+.f64 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 i (/.f64 beta (+.f64 i alpha))) 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 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) |
1 calls:
| 7.0ms | beta |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 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 (/ (* (/ (+ i alpha) beta) i) beta) (/.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 i #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.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 i #s(approx (/ (+ alpha i) (* 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 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 (*.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))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) 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 #s(approx (/ (+ i alpha) 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 (/ (+ i alpha) beta) (/.f64 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 #s(literal 1/16 binary64) #s(approx (/ (- (- (* (/ (neg (+ (* beta alpha) (pow (+ beta alpha) 2))) i) 1/16) (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha)))) (+ (* (/ (* (+ (* 1/16 (* 2 (+ beta alpha))) (* -1/8 (+ beta alpha))) (+ beta alpha)) i) -2) (* (/ (+ (* (- (pow (+ beta alpha) 2) 1) 4) (* (pow (+ beta alpha) 2) 20)) i) -1/256))) i) (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 beta beta)) (*.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 (/.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))) |
1 calls:
| 4.0ms | beta |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.2% | 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 (/ (* (/ (+ i alpha) beta) i) beta) (/.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 i #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.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 i #s(approx (/ (+ alpha i) (* 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 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 (*.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))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) 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))) |
3 calls:
| 3.0ms | beta |
| 3.0ms | i |
| 3.0ms | (/.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 |
|---|---|---|
| 74.5% | 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))) |
| 73.1% | 2 | i |
| 75.5% | 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 (/ (* (/ (+ i alpha) beta) i) beta) (/.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 i #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.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 i #s(approx (/ (+ alpha i) (* 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 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 (*.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))) |
| 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 i #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.f64 beta beta))))) |
1 calls:
| 20.0ms | beta |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.0% | 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 (/ (* (/ (+ i alpha) beta) i) beta) (/.f64 (*.f64 i i) (*.f64 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)) #s(approx (/ (* (/ (+ i alpha) beta) i) beta) (/.f64 (*.f64 i i) (*.f64 beta beta)))) |
1 calls:
| 2.0ms | beta |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.7% | 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:
| 2.0ms | alpha |
| 1.0ms | beta |
| 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 |
|---|---|---|
| 70.9% | 1 | i |
| 70.9% | 1 | alpha |
| 70.9% | 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))) |
| 70.9% | 1 | beta |
Compiled 56 to 26 computations (53.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 4.792798430581922e+176 | 4.1466555182353604e+178 |
| 19.0ms | 112× | 0 | valid |
Compiled 140 to 128 computations (8.6% saved)
ival-mult: 3.0ms (43.1% of total)ival-add: 2.0ms (28.7% of total)ival-div: 1.0ms (14.4% 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 |
|---|---|---|
| 1.0ms | 4.792798430581922e+176 | 4.1466555182353604e+178 |
Compiled 140 to 128 computations (8.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.792798430581922e+176 | 4.1466555182353604e+178 |
Compiled 133 to 121 computations (9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.1950330935049426e+235 | 2.2102774752090373e+235 |
Compiled 56 to 23 computations (58.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 5.156560789894147e+238 | 5.727680757064441e+240 |
| 10.0ms | 112× | 0 | valid |
Compiled 133 to 128 computations (3.8% saved)
ival-mult: 3.0ms (44.2% of total)ival-add: 2.0ms (29.5% of total)ival-div: 1.0ms (14.7% 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 |
|---|---|---|
| 1.0ms | 5.156560789894147e+238 | 5.727680757064441e+240 |
Compiled 133 to 128 computations (3.8% saved)
| 1× | egg-herbie |
| 8× | *-commutative-binary64-*.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
| 2× | +-commutative-binary64-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 809 |
| 1 | 71 | 809 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 beta #s(literal 900000000000000006704082451866887902297795444724838485123678287181375867221034544237347888736516352567619042342506181655352890449528795864781512317004614953386885007624395292672 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 900000000000000006704082451866887902297795444724838485123678287181375867221034544237347888736516352567619042342506181655352890449528795864781512317004614953386885007624395292672 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 900000000000000006704082451866887902297795444724838485123678287181375867221034544237347888736516352567619042342506181655352890449528795864781512317004614953386885007624395292672 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 22000000000000000040046849095225280003631031183688076800843775830865551475681991963031477296489070837507019301895527818359344779990119407271653529528488509478116939479356849157271014911191784879665191326682714658361777455720977957650432 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 620000000000000001243607406638283476341710948022816099185725187279802517138143779415113163446675353416818863653952423848578102321833476974655621013613177916613904274749343190403182842859428194064795316340761156773854028029092821497771196416 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 i #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.f64 beta beta)))))) |
(if (<=.f64 beta #s(literal 620000000000000001243607406638283476341710948022816099185725187279802517138143779415113163446675353416818863653952423848578102321833476974655621013613177916613904274749343190403182842859428194064795316340761156773854028029092821497771196416 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 (/ (* (/ (+ i alpha) beta) i) beta) (/.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)) #s(literal 1/16 binary64)) |
| Outputs |
|---|
(if (<=.f64 beta #s(literal 900000000000000006704082451866887902297795444724838485123678287181375867221034544237347888736516352567619042342506181655352890449528795864781512317004614953386885007624395292672 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 900000000000000006704082451866887902297795444724838485123678287181375867221034544237347888736516352567619042342506181655352890449528795864781512317004614953386885007624395292672 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 900000000000000006704082451866887902297795444724838485123678287181375867221034544237347888736516352567619042342506181655352890449528795864781512317004614953386885007624395292672 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 900000000000000006704082451866887902297795444724838485123678287181375867221034544237347888736516352567619042342506181655352890449528795864781512317004614953386885007624395292672 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 22000000000000000040046849095225280003631031183688076800843775830865551475681991963031477296489070837507019301895527818359344779990119407271653529528488509478116939479356849157271014911191784879665191326682714658361777455720977957650432 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 620000000000000001243607406638283476341710948022816099185725187279802517138143779415113163446675353416818863653952423848578102321833476974655621013613177916613904274749343190403182842859428194064795316340761156773854028029092821497771196416 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 i #s(approx (/ (+ alpha i) (* beta beta)) (/.f64 alpha (*.f64 beta beta)))))) |
(if (<=.f64 beta #s(literal 620000000000000001243607406638283476341710948022816099185725187279802517138143779415113163446675353416818863653952423848578102321833476974655621013613177916613904274749343190403182842859428194064795316340761156773854028029092821497771196416 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 beta)) (/.f64 alpha (*.f64 beta beta))) i))) |
(if (<=.f64 beta #s(literal 620000000000000001243607406638283476341710948022816099185725187279802517138143779415113163446675353416818863653952423848578102321833476974655621013613177916613904274749343190403182842859428194064795316340761156773854028029092821497771196416 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 (/ (* (/ (+ i alpha) beta) i) beta) (/.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)) #s(literal 1/16 binary64)) |
| 9 052× | lower-fma.f64 |
| 9 052× | lower-fma.f32 |
| 6 972× | lower-*.f64 |
| 6 972× | lower-*.f32 |
| 6 836× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 798 |
| 0 | 143 | 683 |
| 1 | 704 | 641 |
| 2 | 6836 | 641 |
| 0 | 8481 | 611 |
| 0 | 62 | 688 |
| 0 | 106 | 590 |
| 1 | 478 | 571 |
| 2 | 4571 | 571 |
| 0 | 8243 | 536 |
| 0 | 2061 | 47012 |
| 1 | 7326 | 46976 |
| 0 | 8620 | 43057 |
| 0 | 1076 | 12372 |
| 1 | 3790 | 11572 |
| 0 | 8145 | 10751 |
| 0 | 2273 | 51374 |
| 1 | 8000 | 51338 |
| 0 | 8309 | 47162 |
| 0 | 1879 | 49487 |
| 1 | 6748 | 49419 |
| 0 | 8253 | 45286 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node 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 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 195 to 155 computations (20.5% saved)
Compiled 326 to 142 computations (56.4% saved)
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