
Time bar (total: 12.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 14% | 86% | 0% | 0% | 0% | 0 |
| 0% | 0% | 14% | 86% | 0% | 0% | 0% | 1 |
| 0% | 0% | 14% | 86% | 0% | 0% | 0% | 2 |
| 25% | 3.5% | 10.5% | 86% | 0% | 0% | 0% | 3 |
| 62.5% | 8.8% | 5.3% | 86% | 0% | 0% | 0% | 4 |
| 75% | 10.5% | 3.5% | 86% | 0% | 0% | 0% | 5 |
| 84.4% | 11.8% | 2.2% | 86% | 0% | 0% | 0% | 6 |
| 92.2% | 12.9% | 1.1% | 86% | 0% | 0% | 0% | 7 |
| 93.8% | 13.2% | 0.9% | 86% | 0% | 0% | 0% | 8 |
| 95.7% | 13.4% | 0.6% | 86% | 0% | 0% | 0% | 9 |
| 97.9% | 13.7% | 0.3% | 86% | 0% | 0% | 0% | 10 |
| 98.4% | 13.8% | 0.2% | 86% | 0% | 0% | 0% | 11 |
| 99% | 13.9% | 0.1% | 86% | 0% | 0% | 0% | 12 |
Compiled 65 to 24 computations (63.1% saved)
| 1.1s | 8 256× | 0 | valid |
ival-mult: 381.0ms (47.7% of total)ival-add: 188.0ms (23.5% of total)ival-div: 93.0ms (11.6% of total)ival->: 66.0ms (8.3% of total)ival-sub: 40.0ms (5% of total)ival-and: 16.0ms (2% of total)exact: 13.0ms (1.6% of total)ival-assert: 3.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 217 | 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)))) |
| 153 | 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 | 168 | 0 |
| ↳ | (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) | overflow | 153 | |
| ↳ | (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) | overflow | 217 | |
| ↳ | (*.f64 beta alpha) | overflow | 18 | |
| ↳ | (*.f64 i (+.f64 (+.f64 alpha beta) i)) | overflow | 302 | |
| ↳ | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) | overflow | 168 | |
/.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 | 129 | 0 |
| ↳ | (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) | overflow | 153 | |
| ↳ | (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) | overflow | 217 | |
| ↳ | (*.f64 beta alpha) | overflow | 18 | |
| ↳ | (*.f64 i (+.f64 (+.f64 alpha beta) i)) | overflow | 302 | |
| ↳ | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) | overflow | 168 | |
| ↳ | (/.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 | 129 | |
| ↳ | (-.f64 (*.f64 (+.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 | 168 | |
| ↳ | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) | overflow | 168 | |
/.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 | 49 | 0 |
| ↳ | (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) | overflow | 153 | |
| ↳ | (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) | overflow | 217 | |
| ↳ | (*.f64 beta alpha) | overflow | 18 | |
| ↳ | (*.f64 i (+.f64 (+.f64 alpha beta) i)) | overflow | 302 | |
/.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 | 24 | 0 |
| ↳ | (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) | overflow | 168 | |
| ↳ | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) | overflow | 168 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 217 | 0 |
| - | 0 | 39 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 217 | 0 | 0 |
| - | 0 | 0 | 39 |
| number | freq |
|---|---|
| 0 | 39 |
| 1 | 64 |
| 2 | 153 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 51.0ms | 510× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
Compiled 426 to 55 computations (87.1% saved)
ival-mult: 14.0ms (44.5% of total)ival-add: 9.0ms (28.6% of total)ival-div: 5.0ms (15.9% of total)ival-sub: 2.0ms (6.4% of total)exact: 1.0ms (3.2% of total)adjust: 0.0ms (0% 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 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) 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 (+.f64 beta alpha) i)) |
(sort alpha beta)
Compiled 56 to 17 computations (69.6% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 15.8% | (/.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 17 computations (69.6% saved)
| 1× | egg-herbie |
Found 4 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 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) | |
| cost-diff | 128 | (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) | |
| cost-diff | 384 | (/.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))) |
| 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 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) 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 (+.f64 beta alpha) i)) |
(/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) |
(*.f64 (/.f64 (+.f64 (+.f64 beta alpha) i) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) i)) |
(*.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 | 0.025722509768442016 | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) | |
| accuracy | 0.08203125 | (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) | |
| accuracy | 36.674896988539984 | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| accuracy | 46.34464112448956 | (/.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)))) |
| 25.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 185 to 19 computations (89.7% saved)
ival-mult: 7.0ms (45.5% of total)ival-add: 4.0ms (26% of total)ival-div: 3.0ms (19.5% of total)ival-sub: 1.0ms (6.5% 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 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 (*.f64 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 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (patch (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (patch (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (patch (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ()) |
| Outputs |
|---|
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 77.0ms | 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)) (+ (* 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)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) |
| 7.0ms | i | @ | 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)) (+ (* 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)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) |
| 6.0ms | 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)) (+ (* 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)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) |
| 6.0ms | 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)) (+ (* 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)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) |
| 5.0ms | 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)) (+ (* 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)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) |
| 1× | egg-herbie |
| 9 164× | lower-fma.f64 |
| 9 164× | lower-fma.f32 |
| 5 962× | lower-+.f64 |
| 5 962× | lower-+.f32 |
| 4 964× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1089 | 12630 |
| 1 | 3841 | 11840 |
| 0 | 8260 | 10972 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(+ (* beta (- (+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 4 alpha) (* 8 i)))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))))) (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(* 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)) |
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2))) |
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2))) |
(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 4)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (pow (+ alpha (* 2 i)) 2))))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2))) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2))) |
(* (pow i 2) (pow (+ alpha i) 2)) |
(+ (* beta (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2)))) (* (pow i 2) (pow (+ alpha i) 2))) |
(+ (* beta (+ (* beta (* i (+ alpha i))) (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))))) (* (pow i 2) (pow (+ alpha i) 2))) |
(+ (* beta (+ (* beta (* i (+ alpha i))) (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))))) (* (pow i 2) (pow (+ alpha i) 2))) |
(pow (+ alpha (* 2 i)) 2) |
(+ (* beta (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) |
(+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) |
(+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(* beta (+ alpha i)) |
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta)))) |
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta)))) |
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta)))) |
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)) |
(- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) |
(- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(* (pow beta 2) (* i (+ alpha i))) |
(* (pow beta 2) (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta))) |
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) |
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta))))) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2)))))) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2)))))) |
(* -1 (/ (* 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 (* 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)))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(* -1 (* (pow beta 2) (* i (+ (* -1 alpha) (* -1 i))))) |
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) beta)))) |
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta)))) |
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta)))) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta)))) |
(/ (* (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)))) |
(* 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)) |
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(* (pow i 2) (pow (+ beta i) 2)) |
(+ (* alpha (* i (+ (* i (+ beta i)) (pow (+ beta i) 2)))) (* (pow i 2) (pow (+ beta i) 2))) |
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2))) |
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2))) |
(pow (+ beta (* 2 i)) 2) |
(+ (* alpha (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) |
(+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) |
(+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(* alpha (+ beta i)) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
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)) |
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha)) |
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(* (pow alpha 2) (* i (+ beta i))) |
(* (pow alpha 2) (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha))) |
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) |
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha))))) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2)))))) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2)))))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(* -1 (* alpha (+ (* -1 beta) (* -1 i)))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))) |
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)))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(* -1 (* (pow alpha 2) (* i (+ (* -1 beta) (* -1 i))))) |
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha)))) |
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha)))) |
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha)))) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha)))) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* alpha beta) |
(+ (* alpha beta) (* i (+ alpha beta))) |
(+ (* alpha beta) (* i (+ alpha (+ beta i)))) |
(+ (* alpha beta) (* i (+ alpha (+ beta i)))) |
(+ 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)) |
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(* alpha (* beta (* i (+ alpha beta)))) |
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (pow (+ alpha beta) 2))))) |
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ (* 2 alpha) (* 2 beta))) (pow (+ alpha beta) 2)))))) |
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ i (+ (* 2 alpha) (* 2 beta)))) (pow (+ alpha beta) 2)))))) |
(pow (+ alpha beta) 2) |
(+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) |
(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) |
(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2)))))) |
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3))))))))) |
(pow i 2) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2)))))) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2)))))) |
(* 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)))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))) |
(pow i 4) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i))))) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (/ (pow (+ alpha beta) 2) (pow i 2))))))) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (+ (/ (* alpha (* beta (+ alpha beta))) (pow i 3)) (/ (pow (+ alpha beta) 2) (pow i 2)))))))) |
(* 4 (pow i 2)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2))))) |
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2))))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(pow i 2) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i)))) |
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i)))) |
(* 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)))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i)))) |
(pow i 4) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i))))) |
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (+ (* -1 (/ (* alpha beta) i)) (* -1 (/ (pow (+ alpha beta) 2) i)))) i)))) |
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (* -1 (/ (+ (* -1 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ alpha beta))) i)) i))) i)))) |
(* 4 (pow i 2)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)))) |
| Outputs |
|---|
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
(*.f64 (*.f64 i i) (/.f64 (*.f64 (+.f64 alpha i) (+.f64 alpha i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))))) |
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha i) (+.f64 i (+.f64 alpha i))) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)))) (*.f64 (+.f64 alpha i) (+.f64 alpha i))) (*.f64 i i)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))))) beta (*.f64 (*.f64 i i) (/.f64 (*.f64 (+.f64 alpha i) (+.f64 alpha i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))))) |
(+ (* 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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(fma.f64 #s(literal 2 binary64) i alpha) |
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(*.f64 i i)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))))) alpha (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 i (+.f64 beta i))) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)))) (*.f64 (+.f64 beta i) (+.f64 beta i))) (*.f64 i i)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))))) alpha (*.f64 (*.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))))) |
(* i (+ beta i)) |
(*.f64 (+.f64 beta i) i) |
(+ (* alpha (+ beta i)) (* i (+ beta i))) |
(*.f64 (+.f64 beta i) (+.f64 alpha i)) |
(+ (* alpha (+ beta i)) (* i (+ beta i))) |
(*.f64 (+.f64 beta i) (+.f64 alpha i)) |
(+ (* alpha (+ beta i)) (* i (+ beta i))) |
(*.f64 (+.f64 beta i) (+.f64 alpha i)) |
(+ beta (* 2 i)) |
(fma.f64 #s(literal 2 binary64) i beta) |
(+ 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 (+ beta (* 2 i)) 2) 1) |
(fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) |
(- (+ (* alpha (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1) |
(fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) alpha (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64))) |
(- (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) 1) |
(fma.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) alpha)) alpha (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64))) |
(- (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) 1) |
(fma.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) alpha)) alpha (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64))) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)) |
(/.f64 (*.f64 (*.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) i)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) |
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 i (+.f64 beta i))) i) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta i) (+.f64 beta i))) (*.f64 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)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) |
(+ (* 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) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 i (+.f64 beta i))) i) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta i) (+.f64 beta i))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) (/.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 (*.f64 (+.f64 beta i) (+.f64 i (+.f64 beta i))) i) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta i) (+.f64 beta i))) (*.f64 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)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) |
(+ (* 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))) (*.f64 (+.f64 beta i) (+.f64 beta i))) (*.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) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 i (+.f64 beta i))) i) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta i) (+.f64 beta i))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) (/.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))))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 i (+.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 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 i (+.f64 beta i))) i) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta i) (+.f64 beta i))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) (/.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 (*.f64 (+.f64 beta i) (+.f64 i (+.f64 beta i))) i) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta i) (+.f64 beta i))) (*.f64 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)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) |
(* (pow i 2) (pow (+ beta i) 2)) |
(*.f64 (*.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) i)) |
(+ (* alpha (* i (+ (* i (+ beta i)) (pow (+ beta i) 2)))) (* (pow i 2) (pow (+ beta i) 2))) |
(fma.f64 (*.f64 alpha i) (*.f64 (+.f64 beta i) (+.f64 i (+.f64 beta i))) (*.f64 (*.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) i))) |
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2))) |
(fma.f64 (fma.f64 (*.f64 alpha i) (+.f64 beta i) (*.f64 (*.f64 (+.f64 beta i) (+.f64 i (+.f64 beta i))) i)) alpha (*.f64 (*.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) i))) |
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2))) |
(fma.f64 (fma.f64 (*.f64 alpha i) (+.f64 beta i) (*.f64 (*.f64 (+.f64 beta i) (+.f64 i (+.f64 beta i))) i)) alpha (*.f64 (*.f64 (+.f64 beta i) i) (*.f64 (+.f64 beta i) i))) |
(pow (+ beta (* 2 i)) 2) |
(*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) |
(+ (* 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 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) |
(+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) |
(fma.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) alpha)) alpha (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) |
(+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) |
(fma.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 beta #s(literal 2 binary64) alpha)) alpha (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/.f64 (*.f64 (+.f64 beta i) i) (*.f64 alpha alpha)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/.f64 (fma.f64 (+.f64 beta i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 beta i) (+.f64 i (+.f64 beta i))) alpha) (/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta)) (+.f64 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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(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha)) |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(*.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) (neg.f64 alpha)) #s(literal 1 binary64)) (neg.f64 alpha)) |
(pow alpha 2) |
(*.f64 alpha alpha) |
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) 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)))) |
(*.f64 (-.f64 (neg.f64 beta) i) (neg.f64 i)) |
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(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
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(* -1 (* (pow alpha 2) (* i (+ (* -1 beta) (* -1 i))))) |
(*.f64 (*.f64 (-.f64 (neg.f64 beta) i) (neg.f64 i)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha)))) |
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(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha)))) |
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(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha)))) |
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(pow alpha 2) |
(*.f64 alpha alpha) |
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha)))) |
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(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha)))) |
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(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(/.f64 (*.f64 (*.f64 beta alpha) i) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #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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(+.f64 beta alpha) (+.f64 beta alpha)))))) (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))))) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 alpha (-.f64 (/.f64 beta (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))))) beta) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))))))) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta 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#s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))))))) i (/.f64 (*.f64 beta alpha) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha)))) i) |
(* alpha beta) |
(*.f64 beta alpha) |
(+ (* alpha beta) (* i (+ alpha beta))) |
(fma.f64 (+.f64 beta alpha) i (*.f64 beta alpha)) |
(+ (* alpha beta) (* i (+ alpha (+ beta i)))) |
(*.f64 (+.f64 beta i) (+.f64 alpha i)) |
(+ (* alpha beta) (* i (+ alpha (+ beta i)))) |
(*.f64 (+.f64 beta i) (+.f64 alpha i)) |
(+ 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) |
(- (pow (+ alpha beta) 2) 1) |
(fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) |
(- (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) 1) |
(fma.f64 (+.f64 beta alpha) (fma.f64 #s(literal 4 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64)) |
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1) |
(fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta alpha) i)) i (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) |
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1) |
(fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta alpha) i)) i (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 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)))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) 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))))) |
(*.f64 (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (*.f64 beta alpha)) i (*.f64 (*.f64 (+.f64 beta alpha) beta) alpha)) i) |
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ (* 2 alpha) (* 2 beta))) (pow (+ alpha beta) 2)))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (*.f64 beta alpha))) i (*.f64 (*.f64 (+.f64 beta alpha) beta) alpha)) i) |
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ i (+ (* 2 alpha) (* 2 beta)))) (pow (+ alpha beta) 2)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) i) i (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (*.f64 beta alpha))) i (*.f64 (*.f64 (+.f64 beta alpha) beta) alpha)) i) |
(pow (+ alpha beta) 2) |
(*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) |
(+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) |
(*.f64 (+.f64 beta alpha) (fma.f64 #s(literal 4 binary64) i (+.f64 beta alpha))) |
(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) |
(fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta alpha) i)) i (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) |
(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) |
(fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta alpha) i)) i (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) |
1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) i)) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2)))))) |
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(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3))))))))) |
(-.f64 (fma.f64 #s(literal 1/16 binary64) (fma.f64 alpha (/.f64 (*.f64 (+.f64 beta alpha) beta) (*.f64 (*.f64 i i) i)) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) (/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (*.f64 beta alpha)) (*.f64 i i)))) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/256 binary64) (+.f64 (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))))) (*.f64 (*.f64 i i) i)) (/.f64 (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64))) (*.f64 i i))) (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 (+.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 i i)) (/.f64 (-.f64 (*.f64 #s(literal 1/16 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (*.f64 beta alpha))) (fma.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)) #s(literal 2 binary64) (*.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64)))))) (*.f64 (*.f64 i i) i)))) (*.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64)))) (*.f64 (*.f64 i i) i)) #s(literal 1/16 binary64)))))) |
(pow i 2) |
(*.f64 i i) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta i)) (/.f64 alpha i)) (*.f64 i i)) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2)))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha i)) (fma.f64 alpha (/.f64 beta (*.f64 i i)) (/.f64 beta i))) (*.f64 i i)) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2)))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha i)) (fma.f64 alpha (/.f64 beta (*.f64 i i)) (/.f64 beta i))) (*.f64 i i)) |
(* 2 i) |
(*.f64 #s(literal 2 binary64) i) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 beta i)) (/.f64 alpha i)) i) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 beta i)) (/.f64 alpha i)) i) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 beta i)) (/.f64 alpha i)) i) |
(* 4 (pow i 2)) |
(*.f64 #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)))) (/ 1 (pow i 2)))) |
(*.f64 (-.f64 (fma.f64 (+.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1 binary64)) #s(literal 4 binary64) (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 i i))) (/.f64 #s(literal 1 binary64) (*.f64 i i))) (*.f64 i i)) |
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2)))) |
(*.f64 (-.f64 (fma.f64 (+.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1 binary64)) #s(literal 4 binary64) (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 i i))) (/.f64 #s(literal 1 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 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (*.f64 beta alpha)) (*.f64 i i)) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 i i)) #s(literal 1/16 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 beta alpha) i) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) (+.f64 beta alpha)) (*.f64 i i))))) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 alpha (/.f64 (*.f64 (+.f64 beta alpha) beta) (*.f64 (*.f64 i i) i)) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) (/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (*.f64 beta alpha)) (*.f64 i i)))) #s(literal 1/4 binary64)) (fma.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) (*.f64 (*.f64 i i) i)) (/.f64 (+.f64 beta alpha) i)) (fma.f64 (+.f64 beta alpha) (+.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (*.f64 beta alpha))) (fma.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 #s(literal 1/16 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))))) (*.f64 (*.f64 i i) i)) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) (*.f64 i i))) (*.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 i i)) #s(literal 1/16 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 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 alpha (/.f64 beta (*.f64 i i)) (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.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) (*.f64 (*.f64 i i) i))) (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 i i)))) #s(literal 1 binary64)) (pow.f64 i #s(literal 4 binary64))) |
(* 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 (fma.f64 (+.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1 binary64)) #s(literal 4 binary64) (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 i i))) (*.f64 i i)) |
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1 binary64)) #s(literal 4 binary64) (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 i i))) (*.f64 i i)) |
1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+.f64 #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))) |
(-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (*.f64 beta alpha))) 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 (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64))) i) #s(literal -1/256 binary64) (*.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)))) i)) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(-.f64 #s(literal 1/16 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 #s(literal -1/8 binary64) (+.f64 beta alpha) (/.f64 (-.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta alpha) beta) alpha) i) #s(literal 1/16 binary64)) (-.f64 (*.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (*.f64 beta alpha))) #s(literal 1/16 binary64)) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (*.f64 #s(literal -1/256 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64))))))) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (*.f64 beta alpha))) #s(literal 1/16 binary64)) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (*.f64 #s(literal -1/256 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64)))))) (+.f64 beta alpha)) i) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64)))) i) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))))) i) #s(literal -1/256 binary64))))) i)))) i)) |
(pow i 2) |
(*.f64 i i) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta i)) (/.f64 alpha i)) (*.f64 i i)) |
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 alpha (/.f64 beta i) (+.f64 beta alpha))) i)) (*.f64 i i)) |
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 alpha (/.f64 beta i) (+.f64 beta alpha))) i)) (*.f64 i i)) |
(* 2 i) |
(*.f64 #s(literal 2 binary64) i) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(*.f64 (-.f64 (/.f64 (-.f64 (neg.f64 alpha) beta) i) #s(literal 2 binary64)) (neg.f64 i)) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(*.f64 (-.f64 (/.f64 (-.f64 (neg.f64 alpha) beta) i) #s(literal 2 binary64)) (neg.f64 i)) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(*.f64 (-.f64 (/.f64 (-.f64 (neg.f64 alpha) beta) i) #s(literal 2 binary64)) (neg.f64 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 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i)))) |
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (+.f64 beta alpha) #s(literal -4 binary64) (/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (neg.f64 i))) i)) (*.f64 i i)) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i)))) |
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (+.f64 beta alpha) #s(literal -4 binary64) (/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (neg.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 (+.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 (+.f64 beta alpha) (+.f64 beta alpha) (*.f64 beta alpha))) i) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) 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 (+.f64 beta alpha) (+.f64 beta alpha) (*.f64 beta alpha))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/16 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.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))) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) i) #s(literal 1/4 binary64) (/.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (*.f64 beta alpha))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/16 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.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 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) 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 (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) (/.f64 (fma.f64 alpha (/.f64 (*.f64 (+.f64 beta alpha) beta) i) (neg.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (*.f64 beta alpha))))) (neg.f64 i))) i)) (pow.f64 i #s(literal 4 binary64))) |
(* 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 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)))) |
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (+.f64 beta alpha) #s(literal -4 binary64) (/.f64 (*.f64 (-.f64 (neg.f64 alpha) beta) (+.f64 beta alpha)) i)) i)) (*.f64 i i)) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)))) |
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (+.f64 beta alpha) #s(literal -4 binary64) (/.f64 (*.f64 (-.f64 (neg.f64 alpha) beta) (+.f64 beta alpha)) i)) 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 | 157 |
| 0 | 29 | 127 |
| 1 | 146 | 127 |
| 2 | 1503 | 127 |
| 0 | 8201 | 117 |
| 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 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 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) |
(*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
| Outputs |
|---|
(*.f64 (pow.f64 (*.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)) (*.f64 (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) i) (+.f64 (+.f64 beta alpha) i)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(*.f64 (pow.f64 (/.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 (neg.f64 i) (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (+.f64 (+.f64 beta alpha) i)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))) |
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(fma.f64 (*.f64 (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (+.f64 beta alpha) (-.f64 alpha beta))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 beta alpha) (*.f64 #s(literal 2 binary64) i)) (-.f64 alpha beta))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i)) |
(fma.f64 (*.f64 (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 #s(literal 4 binary64) (*.f64 i i))) (fma.f64 (*.f64 beta beta) beta (*.f64 (*.f64 alpha alpha) alpha))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 beta alpha) (*.f64 #s(literal 2 binary64) i)) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha) (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 i i) i))) (*.f64 (+.f64 beta alpha) (-.f64 alpha beta))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) i) (-.f64 (*.f64 #s(literal 2 binary64) i) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (-.f64 alpha beta))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha) (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 i i) i))) (fma.f64 (*.f64 beta beta) beta (*.f64 (*.f64 alpha alpha) alpha))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) i) (-.f64 (*.f64 #s(literal 2 binary64) i) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i)) |
(fma.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 #s(literal 4 binary64) (*.f64 i i)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 alpha beta) (-.f64 (+.f64 beta alpha) (*.f64 #s(literal 2 binary64) i)))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i)) |
(fma.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (fma.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha) (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 i i) i)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 alpha beta) (fma.f64 (*.f64 #s(literal 2 binary64) i) (-.f64 (*.f64 #s(literal 2 binary64) i) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 beta beta) beta (*.f64 (*.f64 alpha alpha) alpha)) (-.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 #s(literal 4 binary64) (*.f64 i i)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)) (-.f64 (+.f64 beta alpha) (*.f64 #s(literal 2 binary64) i)))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 beta beta) beta (*.f64 (*.f64 alpha alpha) alpha)) (fma.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha) (*.f64 #s(literal 8 binary64) (*.f64 (*.f64 i i) i)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)) (fma.f64 (*.f64 #s(literal 2 binary64) i) (-.f64 (*.f64 #s(literal 2 binary64) i) (+.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (*.f64 #s(literal 2 binary64) i) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) alpha (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i beta))) |
(fma.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha))) |
(fma.f64 #s(literal 2 binary64) (*.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha))) |
(fma.f64 (+.f64 beta alpha) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i)) |
(fma.f64 alpha (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(fma.f64 i (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha))) |
(-.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha))) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i)) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(literal 2 binary64))) |
(+.f64 (*.f64 alpha (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i beta))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha))) |
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i)) |
Compiled 120 180 to 4 636 computations (96.1% saved)
18 alts after pruning (18 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 378 | 18 | 1 396 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 1 379 | 18 | 1 397 |
| Status | Accuracy | Program |
|---|---|---|
| 37.2% | (/.f64 (*.f64 (neg.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i)) (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) (neg.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)))) | |
| 14.8% | (/.f64 (*.f64 (neg.f64 i) (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (+.f64 (+.f64 beta alpha) 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)) (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))) | |
| 12.1% | (/.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 i (+.f64 alpha i))) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (+.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))) | |
| ▶ | 8.7% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (*.f64 (*.f64 beta alpha) 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))) |
| 16.8% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 alpha i) i)) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| 32.2% | (/.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))) | |
| 35.9% | (/.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))) | |
| ▶ | 18.4% | (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) 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)))))) |
| 41.5% | (*.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (*.f64 (+.f64 (+.f64 beta alpha) i) i))) #s(literal -1 binary64)) (pow.f64 (*.f64 (-.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)) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)))) #s(literal -1 binary64))) | |
| 41.7% | (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)))) | |
| ▶ | 37.1% | (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (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)))) |
| 36.3% | (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (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)))) | |
| 12.1% | #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 (fma.f64 (+.f64 alpha i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 i (+.f64 alpha i))) beta) (/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (*.f64 beta beta))) | |
| ▶ | 14.1% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 beta beta))) |
| 64.4% | #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 #s(literal 1/16 binary64) (/.f64 (-.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (*.f64 beta alpha))) 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 (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64))) i) #s(literal -1/256 binary64) (*.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)))) i))) | |
| 15.4% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (*.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))))) | |
| 14.8% | #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 (neg.f64 i) (/.f64 (-.f64 (neg.f64 i) alpha) (*.f64 beta beta)))) | |
| ▶ | 72.3% | #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)) #s(literal 1/16 binary64)) |
Compiled 1 462 to 586 computations (59.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) | |
| cost-diff | 384 | (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) | |
| cost-diff | 384 | (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (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))) | |
| cost-diff | 384 | (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (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)))) | |
| cost-diff | 0 | (+.f64 beta alpha) | |
| cost-diff | 0 | (+.f64 (+.f64 beta alpha) i) | |
| cost-diff | 0 | (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) 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)))))) | |
| cost-diff | 384 | (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) | |
| cost-diff | 0 | #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (*.f64 (*.f64 beta alpha) i) (+.f64 beta alpha))) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (*.f64 (*.f64 beta alpha) 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))) | |
| cost-diff | 128 | (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) | |
| cost-diff | 128 | (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 alpha i) | |
| cost-diff | 0 | (*.f64 (+.f64 alpha i) i) | |
| cost-diff | 0 | (/.f64 (*.f64 (+.f64 alpha i) 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 (*.f64 (+.f64 alpha i) i) (*.f64 beta beta))) | |
| cost-diff | 0 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
| 8 638× | lower-fma.f32 |
| 8 632× | lower-fma.f64 |
| 4 778× | lower-*.f32 |
| 4 756× | lower-*.f64 |
| 4 242× | lower-+.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 661 |
| 0 | 79 | 634 |
| 1 | 205 | 634 |
| 2 | 677 | 634 |
| 3 | 3904 | 606 |
| 4 | 5710 | 562 |
| 5 | 7222 | 562 |
| 0 | 8046 | 562 |
| 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) i) (*.f64 beta beta))) |
(/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 beta beta)) |
(*.f64 (+.f64 alpha i) i) |
(+.f64 alpha i) |
alpha |
i |
(*.f64 beta beta) |
beta |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (*.f64 (*.f64 beta alpha) 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))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (*.f64 (*.f64 beta alpha) i) (+.f64 beta alpha))) |
(/.f64 (*.f64 (*.f64 beta alpha) i) (+.f64 beta alpha)) |
(*.f64 (*.f64 beta alpha) i) |
(*.f64 beta alpha) |
beta |
alpha |
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 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 2 binary64) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) 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)))))) |
(fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) |
(+.f64 (+.f64 beta alpha) i) |
(+.f64 beta alpha) |
beta |
alpha |
i |
(*.f64 beta alpha) |
(/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) 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 (+.f64 (+.f64 beta alpha) i) 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)))) |
(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 #s(literal 2 binary64) i (+.f64 beta alpha)) |
#s(literal 2 binary64) |
#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 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (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)))) |
(*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(+.f64 (+.f64 beta alpha) i) |
(+.f64 beta alpha) |
beta |
alpha |
i |
(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) |
#s(literal 2 binary64) |
(/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (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))) |
(/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
(fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) |
(*.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)) |
#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) 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 i (*.f64 beta beta)) (+.f64 alpha i))) |
(/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 beta beta)) |
(*.f64 (/.f64 i (*.f64 beta beta)) (+.f64 alpha i)) |
(*.f64 (+.f64 alpha i) i) |
(+.f64 alpha i) |
alpha |
i |
(*.f64 beta beta) |
beta |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (*.f64 (*.f64 beta alpha) 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 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (*.f64 (/.f64 i (+.f64 beta alpha)) alpha) beta)) (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 (*.f64 beta alpha) i) (+.f64 beta alpha))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (*.f64 (/.f64 i (+.f64 beta alpha)) alpha) beta)) |
(/.f64 (*.f64 (*.f64 beta alpha) i) (+.f64 beta alpha)) |
(*.f64 (*.f64 (/.f64 i (+.f64 beta alpha)) alpha) beta) |
(*.f64 (*.f64 beta alpha) i) |
(*.f64 beta alpha) |
beta |
alpha |
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)) |
(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 2 binary64) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) 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 (/.f64 (*.f64 (+.f64 beta i) (+.f64 alpha i)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (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)))) (*.f64 (+.f64 (+.f64 beta alpha) i) i)) |
(fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) |
(*.f64 (+.f64 beta i) (+.f64 alpha i)) |
(+.f64 (+.f64 beta alpha) i) |
(+.f64 beta alpha) |
beta |
alpha |
i |
(*.f64 beta alpha) |
(/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) 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 (/.f64 (+.f64 (+.f64 beta alpha) i) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (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)))) i) |
(*.f64 (+.f64 (+.f64 beta alpha) i) 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 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (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 (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 #s(literal 2 binary64) i (+.f64 beta alpha)) |
#s(literal 2 binary64) |
#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 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (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)))) |
(*.f64 (/.f64 (*.f64 (+.f64 beta i) (+.f64 alpha i)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (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)))) (*.f64 (+.f64 (+.f64 beta alpha) i) i)) |
(*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 (+.f64 beta alpha) i)) |
(+.f64 (+.f64 beta alpha) i) |
(+.f64 beta alpha) |
beta |
alpha |
i |
(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) |
#s(literal 2 binary64) |
(/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (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))) |
(/.f64 (*.f64 (+.f64 beta i) (+.f64 alpha 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)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(/.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 i) (+.f64 alpha i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
(fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) |
(*.f64 (+.f64 beta i) (+.f64 alpha 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)) |
#s(literal -1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.078125 | (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) | |
| accuracy | 4.410078594685713 | (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (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)))) | |
| accuracy | 30.944405799945912 | (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (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))) | |
| accuracy | 35.850158783470135 | (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) | |
| accuracy | 0.025722509768442016 | (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) | |
| accuracy | 0.0859375 | (*.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)))) | |
| accuracy | 39.91522559614114 | (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) 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)))))) | |
| accuracy | 47.98328635244107 | (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) 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))))) | |
| accuracy | 8.164284564672645 | (*.f64 (*.f64 beta alpha) i) | |
| accuracy | 11.336577132824571 | (/.f64 (*.f64 (*.f64 beta alpha) i) (+.f64 beta alpha)) | |
| accuracy | 36.674896988539984 | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (*.f64 (*.f64 beta alpha) 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))) | |
| accuracy | 58.3567439106847 | #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (*.f64 (*.f64 beta alpha) i) (+.f64 beta alpha))) | |
| accuracy | 0 | (*.f64 (+.f64 alpha i) i) | |
| accuracy | 0 | (*.f64 beta beta) | |
| accuracy | 20.26762994754204 | (/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 beta beta)) | |
| accuracy | 44.90811212524207 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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))) | |
| accuracy | 17.756806775293054 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) 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)) |
| 102.0ms | 255× | 0 | valid |
| 0.0ms | 1× | 1 | valid |
Compiled 674 to 42 computations (93.8% saved)
ival-add: 21.0ms (38% of total)ival-mult: 19.0ms (34.4% of total)ival-div: 13.0ms (23.5% of total)ival-sub: 1.0ms (1.8% 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 #s(approx (/ (/ (* (* i (+ (+ alpha beta) 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) i) (*.f64 beta beta))) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 beta beta))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 beta beta)) (patch (/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 beta beta)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 alpha i) i) (patch (*.f64 (+.f64 alpha i) i) #<representation binary64>) () ()) |
#s(alt (+.f64 alpha i) (patch (+.f64 alpha 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 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (*.f64 (*.f64 beta alpha) 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))) (patch (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (*.f64 (*.f64 beta alpha) 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))) #<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 (*.f64 beta alpha) i) (+.f64 beta alpha))) (patch #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (*.f64 (*.f64 beta alpha) i) (+.f64 beta alpha))) #<representation binary64>) () ()) |
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| Outputs |
|---|
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#s(alt (* -1 (* i (- (* -1 (/ (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta))) i)) 1/2))) (taylor -inf i) (#s(alt (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (patch (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* i (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))))) i)) (* 1/2 (+ alpha beta))) (* 1/4 (+ alpha beta))) i)) 1/2))) (taylor -inf i) (#s(alt (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (patch (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* i (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* alpha beta)) (* -1/2 (/ (* (+ alpha beta) (- (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta))))))) i))) (* -1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))))) i)) (* 1/2 (+ alpha beta))) (* 1/4 (+ alpha beta))) i)) 1/2))) (taylor -inf i) (#s(alt (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (patch (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | 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) i) (* beta beta)) (* (+ alpha i) i) (+ alpha i) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (* (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (/ (* (+ (+ beta alpha) i) i) (* (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha)))))) (+ (+ beta alpha) i) (+ beta alpha) (* (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (* beta beta) (/ (* (* beta alpha) i) (+ beta alpha)) (* (* beta alpha) i) (/ (* (+ (+ beta alpha) i) i) (* (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))))) (* (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha)))) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha)))) |
| 30.0ms | 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) i) (* beta beta)) (* (+ alpha i) i) (+ alpha i) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (* (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (/ (* (+ (+ beta alpha) i) i) (* (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha)))))) (+ (+ beta alpha) i) (+ beta alpha) (* (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (* beta beta) (/ (* (* beta alpha) i) (+ beta alpha)) (* (* beta alpha) i) (/ (* (+ (+ beta alpha) i) i) (* (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))))) (* (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha)))) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha)))) |
| 14.0ms | 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) i) (* beta beta)) (* (+ alpha i) i) (+ alpha i) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (* (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (/ (* (+ (+ beta alpha) i) i) (* (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha)))))) (+ (+ beta alpha) i) (+ beta alpha) (* (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (* beta beta) (/ (* (* beta alpha) i) (+ beta alpha)) (* (* beta alpha) i) (/ (* (+ (+ beta alpha) i) i) (* (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))))) (* (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha)))) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha)))) |
| 10.0ms | 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) i) (* beta beta)) (* (+ alpha i) i) (+ alpha i) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (* (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (/ (* (+ (+ beta alpha) i) i) (* (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha)))))) (+ (+ beta alpha) i) (+ beta alpha) (* (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (* beta beta) (/ (* (* beta alpha) i) (+ beta alpha)) (* (* beta alpha) i) (/ (* (+ (+ beta alpha) i) i) (* (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))))) (* (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha)))) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha)))) |
| 9.0ms | beta | @ | inf | ((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (+ alpha i) i) (* beta beta)) (* (+ alpha i) i) (+ alpha i) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (* (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (/ (* (+ (+ beta alpha) i) i) (* (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha)))))) (+ (+ beta alpha) i) (+ beta alpha) (* (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (* beta beta) (/ (* (* beta alpha) i) (+ beta alpha)) (* (* beta alpha) i) (/ (* (+ (+ beta alpha) i) i) (* (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))))) (* (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha)))) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha)))) |
| 1× | egg-herbie |
| 6 692× | lower-*.f64 |
| 6 692× | lower-*.f32 |
| 6 212× | lower-fma.f64 |
| 6 212× | lower-fma.f32 |
| 5 260× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2431 | 51431 |
| 0 | 8500 | 46883 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(+ (* beta (- (+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 4 alpha) (* 8 i)))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))))) (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
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(/ (* i (+ alpha i)) (+ alpha (* 2 i))) |
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(pow beta 2) |
(pow beta 2) |
(pow beta 2) |
(pow beta 2) |
(* beta i) |
(* beta (+ i (* -1 (/ (* beta i) alpha)))) |
(* beta (+ i (* beta (- (/ (* beta i) (pow alpha 2)) (/ i alpha))))) |
(* beta (+ i (* beta (- (* beta (- (* -1 (/ (* beta i) (pow alpha 3))) (* -1 (/ i (pow alpha 2))))) (/ i alpha))))) |
(* alpha (* beta i)) |
(* alpha (* beta i)) |
(* alpha (* beta i)) |
(* alpha (* beta i)) |
(/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
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(* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)) |
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(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)) |
(/ (* i (+ alpha i)) (+ alpha (* 2 i))) |
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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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(/ (* 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) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta))))) |
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2)))) |
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2)))) |
beta |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(* i (+ alpha i)) |
(- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) |
(- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(* beta (+ alpha i)) |
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta)))) |
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta)))) |
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta)))) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
beta |
(* beta (+ 1 (+ (/ alpha beta) (/ i beta)))) |
(* beta (+ 1 (+ (/ alpha beta) (/ i beta)))) |
(* beta (+ 1 (+ (/ alpha beta) (/ i beta)))) |
beta |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (/ 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)) |
(/ (+ alpha i) (pow beta 2)) |
(/ (- (+ alpha (+ i (/ (* i (+ alpha i)) beta))) (/ (* (+ alpha i) (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) beta)) (pow beta 2)) |
(/ (- (+ alpha (+ i (+ (* -1 (/ (+ (* (+ alpha i) (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1)) (* (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) (- (* i (+ alpha i)) (* (+ alpha i) (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))))))) (pow beta 2))) (/ (* i (+ alpha i)) beta)))) (/ (* (+ alpha i) (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) beta)) (pow beta 2)) |
(/ (- (+ alpha (+ i (+ (* -1 (/ (+ (* -1 (* (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) (+ (* (+ alpha i) (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1)) (* (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) (- (* i (+ alpha i)) (* (+ alpha i) (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))))))))) (+ (* (+ alpha i) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* (- (* i (+ alpha i)) (* (+ alpha i) (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))))) (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1)))) (pow beta 3))) (/ (* i (+ alpha i)) beta)))) (+ (/ (* (+ alpha i) (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) beta) (+ (/ (* (+ alpha i) (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1)) (pow beta 2)) (/ (* (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) (- (* i (+ alpha i)) (* (+ alpha i) (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))))) (pow beta 2))))) (pow beta 2)) |
i |
(- (+ i (/ (* i (+ alpha i)) beta)) (/ (* i (+ alpha (* 2 i))) beta)) |
(- (+ i (+ (* -1 (/ (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* i (+ alpha (* 2 i))))) (pow beta 2))) (/ (* i (+ alpha i)) beta))) (/ (* i (+ alpha (* 2 i))) beta)) |
(- (+ i (+ (/ (* i (+ alpha i)) beta) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ alpha i)) (* i (+ alpha (* 2 i))))) (pow beta 3)))) (+ (/ (* i (+ alpha (* 2 i))) beta) (/ (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* i (+ alpha (* 2 i))))) (pow beta 2)))) |
(pow beta 2) |
(pow beta 2) |
(pow beta 2) |
(pow beta 2) |
(* alpha i) |
(+ (* -1 (/ (* (pow alpha 2) i) beta)) (* alpha i)) |
(- (+ (* alpha i) (/ (* (pow alpha 3) i) (pow beta 2))) (/ (* (pow alpha 2) i) beta)) |
(- (+ (* -1 (/ (* (pow alpha 4) i) (pow beta 3))) (* alpha i)) (+ (* -1 (/ (* (pow alpha 3) i) (pow beta 2))) (/ (* (pow alpha 2) i) beta))) |
(* alpha (* beta i)) |
(* alpha (* beta i)) |
(* alpha (* beta i)) |
(* alpha (* beta i)) |
(/ i (pow beta 3)) |
(/ (- (+ i (/ (* i (+ alpha i)) beta)) (/ (* i (+ (* 4 alpha) (* 8 i))) beta)) (pow beta 3)) |
(/ (- (+ i (+ (* -1 (/ (+ (* i (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ alpha i)) (* i (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))) (/ (* i (+ alpha i)) beta))) (/ (* i (+ (* 4 alpha) (* 8 i))) beta)) (pow beta 3)) |
(/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* 4 alpha) (* 8 i)) (+ (* i (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ alpha i)) (* i (+ (* 4 alpha) (* 8 i)))))))) (+ (* i (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i))))) (* (- (* i (+ alpha i)) (* i (+ (* 4 alpha) (* 8 i)))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (/ (* i (+ alpha i)) beta))) (+ (/ (* i (+ (* 4 alpha) (* 8 i))) beta) (+ (/ (* i (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ alpha i)) (* i (+ (* 4 alpha) (* 8 i))))) (pow beta 2))))) (pow beta 3)) |
(pow beta 4) |
(* (pow beta 4) (+ 1 (+ (* 4 (/ alpha beta)) (* 8 (/ i beta))))) |
(* (pow beta 4) (- (+ 1 (+ (* 2 (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))) (+ (* 4 (/ alpha beta)) (+ (* 8 (/ i beta)) (/ (pow (+ (* 2 alpha) (* 4 i)) 2) (pow beta 2)))))) (/ 1 (pow beta 2)))) |
(* (pow beta 4) (- (+ 1 (+ (* 2 (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))) (+ (* 4 (/ alpha beta)) (+ (* 8 (/ i beta)) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (pow beta 3)) (+ (/ (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i))) (pow beta 3)) (/ (pow (+ (* 2 alpha) (* 4 i)) 2) (pow beta 2)))))))) (/ 1 (pow beta 2)))) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta))))) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2)))))) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2)))))) |
(+ alpha i) |
(- (+ alpha (+ i (/ (* i (+ alpha i)) beta))) (/ (* (+ alpha i) (+ alpha (* 2 i))) beta)) |
(- (+ alpha (+ i (+ (* -1 (/ (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* (+ alpha i) (+ alpha (* 2 i))))) (pow beta 2))) (/ (* i (+ alpha i)) beta)))) (/ (* (+ alpha i) (+ alpha (* 2 i))) beta)) |
(- (+ alpha (+ i (+ (/ (* i (+ alpha i)) beta) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ alpha i)) (* (+ alpha i) (+ alpha (* 2 i))))) (pow beta 3))))) (+ (/ (* (+ alpha i) (+ alpha (* 2 i))) beta) (/ (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* (+ alpha i) (+ alpha (* 2 i))))) (pow beta 2)))) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(* -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) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta)))) |
beta |
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1))) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(* -1 (* i (+ (* -1 alpha) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(* -1 (* beta (+ (* -1 alpha) (* -1 i)))) |
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta)))))) |
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta)))))) |
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta)))))) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
beta |
(* -1 (* beta (- (* -1 (/ (+ alpha i) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ alpha i) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ alpha i) beta)) 1))) |
beta |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(* -1 (/ (+ (* -1 alpha) (* -1 i)) (pow beta 2))) |
(/ (+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (* -1 (* i (+ alpha i))) (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))) beta))) (pow beta 2)) |
(/ (+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (+ (* -1 (/ (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (- (* -1 (* i (+ alpha i))) (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i))))) beta)) (/ (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (* -1 alpha) (* -1 i))) beta))) (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))) beta))) (pow beta 2)) |
(/ (+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (- (* -1 (* i (+ alpha i))) (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i))))) beta)) (+ (/ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) beta) (/ (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (- (* -1 (* i (+ alpha i))) (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))))) (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (* -1 alpha) (* -1 i))))) beta))) (+ (* -1 (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (- (* -1 (* i (+ alpha i))) (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))))) (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (* -1 alpha) (* -1 i))))) beta))) (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))) beta))) (pow beta 2)) |
i |
(+ i (* -1 (/ (- (* -1 (* i (+ alpha i))) (* -1 (* i (+ alpha (* 2 i))))) beta))) |
(+ i (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (* i (+ alpha i))) (* -1 (* i (+ alpha (* 2 i)))))) beta))) (* -1 (* i (+ alpha (* 2 i))))) beta))) |
(+ i (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (* -1 (/ (- (* -1 (/ (* (pow (+ alpha (* 2 i)) 2) (- (* -1 (* i (+ alpha i))) (* -1 (* i (+ alpha (* 2 i)))))) beta)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (* i (+ alpha i))) (* -1 (* i (+ alpha (* 2 i)))))))) beta))) (* -1 (* i (+ alpha (* 2 i))))) beta))) |
(pow beta 2) |
(pow beta 2) |
(pow beta 2) |
(pow beta 2) |
(* alpha i) |
(+ (* -1 (/ (* (pow alpha 2) i) beta)) (* alpha i)) |
(+ (* -1 (/ (+ (* -1 (/ (* (pow alpha 3) i) beta)) (* (pow alpha 2) i)) beta)) (* alpha i)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow alpha 4) i) beta)) (* (pow alpha 3) i)) beta)) (* (pow alpha 2) i)) beta)) (* alpha i)) |
(* alpha (* beta i)) |
(* alpha (* beta i)) |
(* alpha (* beta i)) |
(* alpha (* beta i)) |
(/ i (pow beta 3)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* i (+ alpha i)) (* 4 (* i (+ alpha (* 2 i))))) beta))) (pow beta 3))) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* 4 (* i (+ alpha (* 2 i)))))) beta)) (+ (* -1 (/ (* i (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)) (* i (+ alpha i)))) (* 4 (* i (+ alpha (* 2 i))))) beta))) (pow beta 3))) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3)))) beta)) (+ (* 4 (/ (* (+ alpha (* 2 i)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* 4 (* i (+ alpha (* 2 i))))))) (* -1 (* i (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))) beta)) (/ (* (- (* i (+ alpha i)) (* 4 (* i (+ alpha (* 2 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* 4 (* i (+ alpha (* 2 i))))))) (* -1 (* i (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))) beta)) (* i (+ alpha i))) (* 4 (* i (+ alpha (* 2 i))))) beta))) (pow beta 3))) |
(pow beta 4) |
(* (pow beta 4) (+ 1 (* 4 (/ (+ alpha (* 2 i)) beta)))) |
(* (pow beta 4) (+ 1 (* -1 (/ (+ (* -4 (+ alpha (* 2 i))) (* -1 (/ (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1) beta))) beta)))) |
(* (pow beta 4) (+ 1 (* -1 (/ (+ (* -4 (+ alpha (* 2 i))) (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) beta)) (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2)))) 1) beta))) beta)))) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta)))) |
(* -1 (+ (* -1 alpha) (* -1 i))) |
(+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (* -1 (* i (+ alpha i))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))) beta))) |
(+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (* i (+ alpha i))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))) beta))) |
(+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (* -1 (/ (- (* -1 (/ (* (pow (+ alpha (* 2 i)) 2) (- (* -1 (* i (+ alpha i))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (* i (+ alpha i))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 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)))) |
(+ (* 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) (- (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 2)) |
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2))) |
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2))) |
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2))) |
(pow i 2) |
(+ (* alpha i) (pow i 2)) |
(+ (* alpha i) (pow i 2)) |
(+ (* alpha i) (pow i 2)) |
i |
(+ alpha i) |
(+ alpha i) |
(+ alpha 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) |
(+ beta (* 2 i)) |
(+ alpha (+ beta (* 2 i))) |
(+ alpha (+ beta (* 2 i))) |
(+ alpha (+ beta (* 2 i))) |
(/ (* (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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(* alpha i) |
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(* alpha (* beta i)) |
(* alpha (* beta i)) |
(/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
(+ (* alpha (- (/ i (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* i (* (+ beta i) (+ (* (+ (* 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)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* i (* (+ beta i) (- (+ (* 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 (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* i (* (+ beta i) (+ (* (+ (* 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 (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (* (+ beta i) (+ (* (+ (* 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)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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(* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)) |
(+ (* alpha (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
(+ (* alpha (+ (* alpha (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
(+ (* alpha (+ (* alpha (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (+ (* alpha (+ (* 4 beta) (* 8 i))) (pow (+ (* 2 beta) (* 4 i)) 2))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
(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)) |
(/ (* i (+ beta i)) (+ beta (* 2 i))) |
(+ (* alpha (- (+ (/ beta (+ beta (* 2 i))) (/ i (+ beta (* 2 i)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i)))) |
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 3)) (+ (/ beta (pow (+ beta (* 2 i)) 2)) (/ i (pow (+ beta (* 2 i)) 2))))) (+ (/ beta (+ beta (* 2 i))) (/ i (+ beta (* 2 i))))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i)))) |
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (+ (/ beta (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 3))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 4)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 3))) (+ (/ beta (pow (+ beta (* 2 i)) 2)) (/ i (pow (+ beta (* 2 i)) 2))))) (+ (/ beta (+ beta (* 2 i))) (/ i (+ beta (* 2 i))))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i)))) |
(/ (* 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)) (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) |
(* alpha (+ i (/ (pow i 2) alpha))) |
(* alpha (+ i (/ (pow i 2) alpha))) |
(* alpha (+ i (/ (pow i 2) alpha))) |
alpha |
(* alpha (+ 1 (/ i alpha))) |
(* alpha (+ 1 (/ i alpha))) |
(* alpha (+ 1 (/ i alpha))) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha))))) |
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2)))) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(* i (+ beta i)) |
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha)) |
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(* alpha (+ beta i)) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
alpha |
(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha)))) |
(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha)))) |
(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha)))) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (/ 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)) |
(/ (+ beta i) (pow alpha 2)) |
(/ (- (+ beta (+ i (/ (* i (+ beta i)) alpha))) (/ (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) alpha)) (pow alpha 2)) |
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)) (* (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) (- (* i (+ beta i)) (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))))) (pow alpha 2))) (/ (* i (+ beta i)) alpha)))) (/ (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) alpha)) (pow alpha 2)) |
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* -1 (* (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) (+ (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)) (* (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) (- (* i (+ beta i)) (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))))))) (+ (* (+ beta i) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* (- (* i (+ beta i)) (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)))) (pow alpha 3))) (/ (* i (+ beta i)) alpha)))) (+ (/ (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) alpha) (+ (/ (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)) (pow alpha 2)) (/ (* (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) (- (* i (+ beta i)) (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))))) (pow alpha 2))))) (pow alpha 2)) |
i |
(- (+ i (/ (* i (+ beta i)) alpha)) (/ (* i (+ beta (* 2 i))) alpha)) |
(- (+ i (+ (* -1 (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ beta (* 2 i))))) (pow alpha 2))) (/ (* i (+ beta i)) alpha))) (/ (* i (+ beta (* 2 i))) alpha)) |
(- (+ i (+ (/ (* i (+ beta i)) alpha) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ beta i)) (* i (+ beta (* 2 i))))) (pow alpha 3)))) (+ (/ (* i (+ beta (* 2 i))) alpha) (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ beta (* 2 i))))) (pow alpha 2)))) |
(* beta i) |
(+ (* -1 (/ (* (pow beta 2) i) alpha)) (* beta i)) |
(- (+ (* beta i) (/ (* (pow beta 3) i) (pow alpha 2))) (/ (* (pow beta 2) i) alpha)) |
(- (+ (* -1 (/ (* (pow beta 4) i) (pow alpha 3))) (* beta i)) (+ (* -1 (/ (* (pow beta 3) i) (pow alpha 2))) (/ (* (pow beta 2) i) alpha))) |
(* alpha (* beta i)) |
(* alpha (* beta i)) |
(* alpha (* beta i)) |
(* alpha (* beta i)) |
(/ i (pow alpha 3)) |
(/ (- (+ i (/ (* i (+ beta i)) alpha)) (/ (* i (+ (* 4 beta) (* 8 i))) alpha)) (pow alpha 3)) |
(/ (- (+ i (+ (* -1 (/ (+ (* i (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ beta i)) (* i (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))) (/ (* i (+ beta i)) alpha))) (/ (* i (+ (* 4 beta) (* 8 i))) alpha)) (pow alpha 3)) |
(/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* 4 beta) (* 8 i)) (+ (* i (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ beta i)) (* i (+ (* 4 beta) (* 8 i)))))))) (+ (* i (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i))))) (* (- (* i (+ beta i)) (* i (+ (* 4 beta) (* 8 i)))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (/ (* i (+ beta i)) alpha))) (+ (/ (* i (+ (* 4 beta) (* 8 i))) alpha) (+ (/ (* i (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ beta i)) (* i (+ (* 4 beta) (* 8 i))))) (pow alpha 2))))) (pow alpha 3)) |
(pow alpha 4) |
(* (pow alpha 4) (+ 1 (+ (* 4 (/ beta alpha)) (* 8 (/ i alpha))))) |
(* (pow alpha 4) (- (+ 1 (+ (* 2 (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))) (+ (* 4 (/ beta alpha)) (+ (* 8 (/ i alpha)) (/ (pow (+ (* 2 beta) (* 4 i)) 2) (pow alpha 2)))))) (/ 1 (pow alpha 2)))) |
(* (pow alpha 4) (- (+ 1 (+ (* 2 (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))) (+ (* 4 (/ beta alpha)) (+ (* 8 (/ i alpha)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (pow alpha 3)) (+ (/ (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i))) (pow alpha 3)) (/ (pow (+ (* 2 beta) (* 4 i)) 2) (pow alpha 2)))))))) (/ 1 (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)))))) |
(+ beta i) |
(- (+ beta (+ i (/ (* i (+ beta i)) alpha))) (/ (* (+ beta i) (+ beta (* 2 i))) alpha)) |
(- (+ beta (+ i (+ (* -1 (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* (+ beta i) (+ beta (* 2 i))))) (pow alpha 2))) (/ (* i (+ beta i)) alpha)))) (/ (* (+ beta i) (+ beta (* 2 i))) alpha)) |
(- (+ beta (+ i (+ (/ (* i (+ beta i)) alpha) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ beta i)) (* (+ beta i) (+ beta (* 2 i))))) (pow alpha 3))))) (+ (/ (* (+ beta i) (+ beta (* 2 i))) alpha) (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* (+ beta i) (+ beta (* 2 i))))) (pow alpha 2)))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (* alpha i) (pow beta 2)) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(* alpha 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))))) |
alpha |
(* -1 (* alpha (- (* -1 (/ i alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ i alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ i alpha)) 1))) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha)))) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(* -1 (* i (+ (* -1 beta) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(* -1 (* alpha (+ (* -1 beta) (* -1 i)))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1))) |
alpha |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(* -1 (/ (+ (* -1 beta) (* -1 i)) (pow alpha 2))) |
(/ (+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (* -1 (* i (+ beta i))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i)))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (+ (* -1 (/ (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (- (* -1 (* i (+ beta i))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i))))) alpha)) (/ (* (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (- (pow (+ beta (* 2 i)) 2) 1))) (+ (* -1 beta) (* -1 i))) alpha))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i)))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (- (pow (+ beta (* 2 i)) 2) 1))) (- (* -1 (* i (+ beta i))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i))))) alpha)) (+ (/ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (pow (+ beta (* 2 i)) 2) 1))) alpha) (/ (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (- (* -1 (* i (+ beta i))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i)))))) (* (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (- (pow (+ beta (* 2 i)) 2) 1))) (+ (* -1 beta) (* -1 i))))) alpha))) (+ (* -1 (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (- (* -1 (* i (+ beta i))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i)))))) (* (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (- (pow (+ beta (* 2 i)) 2) 1))) (+ (* -1 beta) (* -1 i))))) alpha))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i)))) alpha))) (pow alpha 2)) |
i |
(+ i (* -1 (/ (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i))))) alpha))) |
(+ i (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i)))))) alpha))) (* -1 (* i (+ beta (* 2 i))))) alpha))) |
(+ i (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (- (* -1 (/ (* (pow (+ beta (* 2 i)) 2) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i)))))) alpha)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i)))))))) alpha))) (* -1 (* i (+ beta (* 2 i))))) alpha))) |
(* beta i) |
(+ (* -1 (/ (* (pow beta 2) i) alpha)) (* beta i)) |
(+ (* -1 (/ (+ (* -1 (/ (* (pow beta 3) i) alpha)) (* (pow beta 2) i)) alpha)) (* beta i)) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow beta 4) i) alpha)) (* (pow beta 3) i)) alpha)) (* (pow beta 2) i)) alpha)) (* beta i)) |
(* alpha (* beta i)) |
(* alpha (* beta i)) |
(* alpha (* beta i)) |
(* alpha (* beta i)) |
(/ i (pow alpha 3)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* 4 (* i (+ beta (* 2 i))))) alpha))) (pow alpha 3))) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* 4 (* i (+ beta (* 2 i)))))) alpha)) (+ (* -1 (/ (* i (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)) (* i (+ beta i)))) (* 4 (* i (+ beta (* 2 i))))) alpha))) (pow alpha 3))) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3)))) alpha)) (+ (* 4 (/ (* (+ beta (* 2 i)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* 4 (* i (+ beta (* 2 i))))))) (* -1 (* i (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))) alpha)) (/ (* (- (* i (+ beta i)) (* 4 (* i (+ beta (* 2 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* 4 (* i (+ beta (* 2 i))))))) (* -1 (* i (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))) alpha)) (* i (+ beta i))) (* 4 (* i (+ beta (* 2 i))))) alpha))) (pow alpha 3))) |
(pow alpha 4) |
(* (pow alpha 4) (+ 1 (* 4 (/ (+ beta (* 2 i)) alpha)))) |
(* (pow alpha 4) (+ 1 (* -1 (/ (+ (* -4 (+ beta (* 2 i))) (* -1 (/ (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1) alpha))) alpha)))) |
(* (pow alpha 4) (+ 1 (* -1 (/ (+ (* -4 (+ beta (* 2 i))) (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) alpha)) (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2)))) 1) alpha))) alpha)))) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha)))) |
(* -1 (+ (* -1 beta) (* -1 i))) |
(+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (* -1 (* i (+ beta i))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))) alpha))) |
(+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))) alpha))) |
(+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (- (* -1 (/ (* (pow (+ beta (* 2 i)) 2) (- (* -1 (* i (+ beta i))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))) alpha))) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(/ (* 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 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) |
(* i (+ alpha i)) |
(* i (+ alpha i)) |
(* i (+ alpha i)) |
alpha |
(+ alpha i) |
(+ alpha i) |
(+ alpha i) |
(- (pow (+ alpha beta) 2) 1) |
(- (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) 1) |
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1) |
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1) |
(+ alpha beta) |
(+ alpha (+ beta (* 2 i))) |
(+ alpha (+ beta (* 2 i))) |
(+ alpha (+ beta (* 2 i))) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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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 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))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(+ alpha beta) |
(+ alpha (+ beta i)) |
(+ 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))))) |
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(/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
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i |
(* i (+ 1 (* -1 (/ i (+ alpha beta))))) |
(* i (+ 1 (* i (- (* 2 (/ i (pow (+ alpha beta) 2))) (/ 1 (+ alpha beta)))))) |
(* i (+ 1 (* i (- (* i (+ (* -4 (/ i (pow (+ alpha beta) 3))) (* 2 (/ 1 (pow (+ alpha beta) 2))))) (/ 1 (+ alpha beta)))))) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(* alpha (* beta i)) |
(* alpha (* beta i)) |
(* alpha (* beta i)) |
(* alpha (* beta i)) |
(/ i (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(* i (+ (* -1 (* i (+ (* 3 (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2)))))) (/ 1 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 3 (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3)))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 4 (/ 1 (* (pow (+ alpha beta) 3) (- (pow (+ alpha beta) 2) 1)))) (* 20 (/ 1 (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2)))))))) (+ (* 3 (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2)))))) (/ 1 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3)))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 4 (/ 1 (* (pow (+ alpha beta) 3) (- (pow (+ alpha beta) 2) 1)))) (* 20 (/ 1 (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2)))))) (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3)))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* -1 (/ (* (+ (* 3 (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 32 (/ 1 (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))))))) (+ (* -1 (/ (* (+ (* 3 (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3)))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 4 (/ 1 (* (pow (+ alpha beta) 3) (- (pow (+ alpha beta) 2) 1)))) (* 20 (/ 1 (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2)))))))) (+ (* 3 (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2)))))) (/ 1 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)) |
(+ (* i (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3)))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) |
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(+ (* i (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (+ (* 4 (pow (+ alpha beta) 3)) (* i (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (+ (* 16 (pow (+ alpha beta) 2)) (* 32 (* i (+ alpha beta)))))))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) |
(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) (+ alpha beta)) |
(+ (* i (- 1 (* 2 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))) |
(+ (* i (- (+ 1 (* i (- (/ 1 (+ alpha beta)) (* 2 (/ (- 1 (* 2 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (* 2 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))) |
(+ (* i (- (+ 1 (* i (- (+ (* -2 (/ (* i (- (/ 1 (+ alpha beta)) (* 2 (/ (- 1 (* 2 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta))) (/ 1 (+ alpha beta))) (* 2 (/ (- 1 (* 2 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (* 2 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))) |
1/16 |
(- (+ 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))))))))) |
1/16 |
(- (+ 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))))))))) |
(/ (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) |
(* (pow i 2) (+ 1 (/ alpha i))) |
(* (pow i 2) (+ 1 (/ alpha i))) |
(* (pow i 2) (+ 1 (/ alpha i))) |
i |
(* i (+ 1 (/ alpha i))) |
(* i (+ 1 (/ alpha i))) |
(* i (+ 1 (/ alpha i))) |
(* 4 (pow i 2)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2)))) |
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2)))) |
(* 2 i) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
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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))))))))) |
(* 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 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))) |
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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))))))))) |
i |
(* i (+ 1 (+ (/ alpha i) (/ beta i)))) |
(* i (+ 1 (+ (/ alpha i) (/ beta i)))) |
(* i (+ 1 (+ (/ alpha i) (/ beta i)))) |
1/16 |
(- (+ 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))))))))) |
(/ 1/8 i) |
(/ (- (+ 1/8 (* 1/8 (/ (+ alpha beta) i))) (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i))) i) |
(/ (- (+ 1/8 (+ (* 1/8 (/ (* alpha beta) (pow i 2))) (* 1/8 (/ (+ alpha beta) i)))) (+ (* 1/64 (/ (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 2)))))) i) |
(/ (- (+ 1/8 (+ (* -1 (/ (+ (* 1/64 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (+ (* 1/8 (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))) (* 1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (* alpha beta)) (+ (* 1/64 (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2)))) (* 1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))))))))) (pow i 3))) (+ (* 1/8 (/ (* alpha beta) (pow i 2))) (* 1/8 (/ (+ alpha beta) i))))) (+ (* 1/64 (/ (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 2)))))) i) |
(* 1/2 i) |
(* i (- (+ 1/2 (* 1/2 (/ (+ alpha beta) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* i (- (+ 1/2 (+ (* -1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2))) (* 1/2 (/ (+ alpha beta) i)))) (* 1/4 (/ (+ alpha beta) i)))) |
(* i (- (+ 1/2 (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 3))) (* 1/2 (/ (+ alpha beta) i)))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(* alpha (* beta i)) |
(* alpha (* beta i)) |
(* alpha (* beta i)) |
(* alpha (* beta i)) |
(/ 1/16 (pow i 2)) |
(/ (- (+ 1/16 (* 1/16 (/ (+ alpha beta) i))) (* 1/8 (/ (+ alpha beta) i))) (pow i 2)) |
(/ (- (+ 1/16 (+ (* -1 (/ (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ alpha beta)) (* 1/8 (+ alpha beta)))))) (pow i 2))) (* 1/16 (/ (+ alpha beta) i)))) (* 1/8 (/ (+ alpha beta) i))) (pow i 2)) |
(/ (- (+ 1/16 (+ (* -1 (/ (+ (* -2 (* (+ alpha beta) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ alpha beta)) (* 1/8 (+ alpha beta)))))))) (+ (* 1/256 (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3)))) (* 1/16 (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ alpha beta)) (* 1/8 (+ alpha beta))))))) (pow i 3))) (* 1/16 (/ (+ alpha beta) i)))) (+ (* 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 (+ alpha beta)) (* 1/8 (+ alpha beta)))) (pow i 2)))))) (pow i 2)) |
(* 16 (pow i 4)) |
(* (pow i 4) (+ 16 (* 32 (/ (+ alpha beta) i)))) |
(* (pow i 4) (+ 16 (+ (* 4 (/ (- (pow (+ alpha beta) 2) 1) (pow i 2))) (+ (* 4 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 16 (/ (pow (+ alpha beta) 2) (pow i 2))) (* 32 (/ (+ alpha beta) i))))))) |
(* (pow i 4) (+ 16 (+ (* 4 (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)) (pow i 3))) (+ (* 4 (/ (- (pow (+ alpha beta) 2) 1) (pow i 2))) (+ (* 4 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 4 (/ (pow (+ alpha beta) 3) (pow i 3))) (+ (* 16 (/ (pow (+ alpha beta) 2) (pow i 2))) (* 32 (/ (+ 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))))) |
(* 1/2 i) |
(* i (- (+ 1/2 (* 1/2 (/ (+ alpha beta) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* i (- (+ 1/2 (+ (* 1/2 (/ (* alpha beta) (pow i 2))) (* 1/2 (/ (+ alpha beta) i)))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
(* i (- (+ 1/2 (+ (* -1/2 (/ (* (+ alpha beta) (- (* 1/2 (* alpha beta)) (* 1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta))))))) (pow i 3))) (+ (* 1/2 (/ (* alpha beta) (pow i 2))) (* 1/2 (/ (+ alpha beta) i))))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(/ (pow i 2) (pow beta 2)) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(pow i 2) |
(* (pow i 2) (+ 1 (/ alpha i))) |
(* (pow i 2) (+ 1 (/ alpha i))) |
(* (pow i 2) (+ 1 (/ alpha i))) |
i |
(* -1 (* i (- (* -1 (/ alpha i)) 1))) |
(* -1 (* i (- (* -1 (/ alpha i)) 1))) |
(* -1 (* i (- (* -1 (/ alpha i)) 1))) |
(* 4 (pow i 2)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i)))) |
(* 2 i) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i)))) |
(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))) |
i |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 1))) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 1))) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 1))) |
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))) |
(/ 1/8 i) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) i)) 1/8) i)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/8 (* alpha beta)) (+ (* -1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))) (* 1/64 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1)))))) i)) (* 1/8 (+ alpha beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) i)) 1/8) i)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (* alpha beta)) (+ (* -1/8 (/ (* (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) i)) (+ (* -1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* -1/8 (* alpha beta)) (+ (* -1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))) (* 1/64 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1))))))) i)) (* 1/64 (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)) i))))) (+ (* -1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))) (* 1/64 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1)))))) i)) (* 1/8 (+ alpha beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) i)) 1/8) i)) |
(* 1/2 i) |
(* -1 (* i (- (* -1/2 (/ (+ alpha beta) i)) (+ 1/2 (* -1/4 (/ (+ alpha beta) i)))))) |
(* -1 (* i (- (* -1 (/ (+ (* -1 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* 1/2 (/ (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) i))) i)) 1/2))) |
(* -1 (* i (- (* -1 (/ (+ (* -1 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* -1 (/ (+ (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) i))) i))) i)) 1/2))) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(* alpha (* beta i)) |
(* alpha (* beta i)) |
(* alpha (* beta i)) |
(* alpha (* beta i)) |
(/ 1/16 (pow i 2)) |
(/ (- (+ 1/16 (* 1/16 (/ (+ alpha beta) i))) (* 1/8 (/ (+ alpha beta) i))) (pow i 2)) |
(/ (+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ alpha beta)) (* 1/8 (+ alpha beta)))) (* -1 (/ (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) i))) i))) (pow i 2)) |
(/ (+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ alpha beta)) (* 1/8 (+ alpha beta)))) (* -1 (/ (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (+ (* -1 (/ (+ (* -1/256 (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3)))) (+ (* 1/16 (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ alpha beta)) (* 1/8 (+ alpha beta))))) (* 2 (* (+ alpha beta) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ alpha 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 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))))) i))) i))) (pow i 2)) |
(* 16 (pow i 4)) |
(* (pow i 4) (+ 16 (* 32 (/ (+ alpha beta) i)))) |
(* (pow i 4) (+ 16 (* -1 (/ (+ (* -32 (+ alpha beta)) (* -1 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i))) i)))) |
(* (pow i 4) (+ 16 (* -1 (/ (+ (* -32 (+ alpha beta)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha 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)))) |
(* 1/2 i) |
(* -1 (* i (- (* -1 (/ (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta))) i)) 1/2))) |
(* -1 (* i (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))))) i)) (* 1/2 (+ alpha beta))) (* 1/4 (+ alpha beta))) i)) 1/2))) |
(* -1 (* i (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* alpha beta)) (* -1/2 (/ (* (+ alpha beta) (- (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta))))))) i))) (* -1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))))) i)) (* 1/2 (+ alpha beta))) (* 1/4 (+ alpha beta))) i)) 1/2))) |
| Outputs |
|---|
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
(*.f64 (*.f64 i i) (/.f64 (*.f64 (+.f64 alpha i) (+.f64 alpha i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))))) |
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
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(+ alpha i) |
(+.f64 alpha i) |
(+ alpha (+ beta i)) |
(+.f64 (+.f64 beta i) alpha) |
(+ alpha (+ beta i)) |
(+.f64 (+.f64 beta i) alpha) |
(+ alpha (+ beta i)) |
(+.f64 (+.f64 beta i) alpha) |
alpha |
(+ alpha beta) |
(+.f64 beta alpha) |
(+ alpha beta) |
(+.f64 beta alpha) |
(+ alpha beta) |
(+.f64 beta alpha) |
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
(*.f64 (*.f64 i i) (/.f64 (*.f64 (+.f64 alpha i) (+.f64 alpha i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))))) |
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
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(+ (* beta (- (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (+ (/ (* i (* (+ alpha i) (- (+ (* 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))) (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ i (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* i (* (+ alpha i) (+ (* (+ (* 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 (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (/ (* (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1) (- (/ i (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* i (* (+ alpha i) (+ (* (+ (* 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))))))) (+ (/ (* i (* (+ alpha i) (- (+ (* 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))) (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ i (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* i (* (+ alpha i) (+ (* (+ (* 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)))))) (/ i (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* i (* (+ alpha i) (+ (* (+ (* 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))))) (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
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(* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)) |
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(+ (* beta (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
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beta |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (/.f64 alpha beta)) #s(literal 1 binary64)) beta) |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (/.f64 alpha beta)) #s(literal 1 binary64)) beta) |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (/.f64 alpha beta)) #s(literal 1 binary64)) beta) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 beta beta)) |
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(* beta (+ alpha i)) |
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(* beta (+ 1 (+ (/ alpha beta) (/ i beta)))) |
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i |
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(pow beta 2) |
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(* alpha i) |
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(- (+ (* -1 (/ (* (pow alpha 4) i) (pow beta 3))) (* alpha i)) (+ (* -1 (/ (* (pow alpha 3) i) (pow beta 2))) (/ (* (pow alpha 2) i) beta))) |
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(* alpha (* beta i)) |
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(* alpha (* beta i)) |
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(* alpha (* beta i)) |
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(* alpha (* beta i)) |
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(/ i (pow beta 3)) |
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(/ (- (+ i (+ (* -1 (/ (+ (* i (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ alpha i)) (* i (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))) (/ (* i (+ alpha i)) beta))) (/ (* i (+ (* 4 alpha) (* 8 i))) beta)) (pow beta 3)) |
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(/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* 4 alpha) (* 8 i)) (+ (* i (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ alpha i)) (* i (+ (* 4 alpha) (* 8 i)))))))) (+ (* i (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i))))) (* (- (* i (+ alpha i)) (* i (+ (* 4 alpha) (* 8 i)))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (/ (* i (+ alpha i)) beta))) (+ (/ (* i (+ (* 4 alpha) (* 8 i))) beta) (+ (/ (* i (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ alpha i)) (* i (+ (* 4 alpha) (* 8 i))))) (pow beta 2))))) (pow beta 3)) |
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(pow beta 4) |
(pow.f64 beta #s(literal 4 binary64)) |
(* (pow beta 4) (+ 1 (+ (* 4 (/ alpha beta)) (* 8 (/ i beta))))) |
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(* (pow beta 4) (- (+ 1 (+ (* 2 (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))) (+ (* 4 (/ alpha beta)) (+ (* 8 (/ i beta)) (/ (pow (+ (* 2 alpha) (* 4 i)) 2) (pow beta 2)))))) (/ 1 (pow beta 2)))) |
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(* (pow beta 4) (- (+ 1 (+ (* 2 (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))) (+ (* 4 (/ alpha beta)) (+ (* 8 (/ i beta)) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (pow beta 3)) (+ (/ (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i))) (pow beta 3)) (/ (pow (+ (* 2 alpha) (* 4 i)) 2) (pow beta 2)))))))) (/ 1 (pow beta 2)))) |
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(pow beta 2) |
(*.f64 beta beta) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta))))) |
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i |
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(pow beta 2) |
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(pow beta 2) |
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(* alpha i) |
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(* alpha (* beta i)) |
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(* alpha (* beta i)) |
(*.f64 (*.f64 beta i) alpha) |
(* alpha (* beta i)) |
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(* alpha (* beta i)) |
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(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* 4 (* i (+ alpha (* 2 i)))))) beta)) (+ (* -1 (/ (* i (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)) (* i (+ alpha i)))) (* 4 (* i (+ alpha (* 2 i))))) beta))) (pow beta 3))) |
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(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3)))) beta)) (+ (* 4 (/ (* (+ alpha (* 2 i)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* 4 (* i (+ alpha (* 2 i))))))) (* -1 (* i (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))) beta)) (/ (* (- (* i (+ alpha i)) (* 4 (* i (+ alpha (* 2 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* 4 (* i (+ alpha (* 2 i))))))) (* -1 (* i (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))) beta)) (* i (+ alpha i))) (* 4 (* i (+ alpha (* 2 i))))) beta))) (pow beta 3))) |
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(pow beta 4) |
(pow.f64 beta #s(literal 4 binary64)) |
(* (pow beta 4) (+ 1 (* 4 (/ (+ alpha (* 2 i)) beta)))) |
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(* (pow beta 4) (+ 1 (* -1 (/ (+ (* -4 (+ alpha (* 2 i))) (* -1 (/ (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1) beta))) beta)))) |
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(* (pow beta 4) (+ 1 (* -1 (/ (+ (* -4 (+ alpha (* 2 i))) (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) beta)) (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2)))) 1) beta))) beta)))) |
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(pow beta 2) |
(*.f64 beta beta) |
(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 beta beta)) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta)))) |
(*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)) beta))) beta)) #s(literal 1 binary64)) (*.f64 beta beta)) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta)))) |
(*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i alpha) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)) beta))) beta)) #s(literal 1 binary64)) (*.f64 beta beta)) |
(* -1 (+ (* -1 alpha) (* -1 i))) |
(neg.f64 (+.f64 (neg.f64 i) (neg.f64 alpha))) |
(+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (* -1 (* i (+ alpha i))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))) beta))) |
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 alpha i) (/.f64 (-.f64 (*.f64 (neg.f64 i) (+.f64 alpha i)) (*.f64 (+.f64 (neg.f64 i) (neg.f64 alpha)) (fma.f64 #s(literal 2 binary64) i alpha))) beta))) |
(+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (* i (+ alpha i))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))) beta))) |
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 alpha i) (/.f64 (-.f64 (fma.f64 (neg.f64 i) (+.f64 alpha i) (/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 i) (+.f64 alpha i)) (*.f64 (+.f64 (neg.f64 i) (neg.f64 alpha)) (fma.f64 #s(literal 2 binary64) i alpha))) (fma.f64 #s(literal 2 binary64) i alpha))) beta)) (*.f64 (+.f64 (neg.f64 i) (neg.f64 alpha)) (fma.f64 #s(literal 2 binary64) i alpha))) beta))) |
(+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (* -1 (/ (- (* -1 (/ (* (pow (+ alpha (* 2 i)) 2) (- (* -1 (* i (+ alpha i))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))) beta)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (* i (+ alpha i))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))) beta))) |
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 alpha i) (/.f64 (-.f64 (fma.f64 (neg.f64 i) (+.f64 alpha i) (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)) (/.f64 (-.f64 (*.f64 (neg.f64 i) (+.f64 alpha i)) (*.f64 (+.f64 (neg.f64 i) (neg.f64 alpha)) (fma.f64 #s(literal 2 binary64) i alpha))) beta))) (neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 i) (+.f64 alpha i)) (*.f64 (+.f64 (neg.f64 i) (neg.f64 alpha)) (fma.f64 #s(literal 2 binary64) i alpha))) (fma.f64 #s(literal 2 binary64) i alpha)))) beta))) (*.f64 (+.f64 (neg.f64 i) (neg.f64 alpha)) (fma.f64 #s(literal 2 binary64) i alpha))) beta))) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
(*.f64 (*.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))) |
(+ (* 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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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
(*.f64 (*.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))) |
(+ (* 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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(/ (pow i 2) (pow beta 2)) |
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(- (pow (+ beta (* 2 i)) 2) 1) |
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(- (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) 1) |
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(+ (* alpha (- (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 4 beta) (* 8 i)))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))))) (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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(/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)) |
(/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 i i)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) |
(+ (* 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) (+.f64 beta i) (*.f64 (+.f64 beta i) i)) i) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta i) (+.f64 beta i))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) alpha (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 i i)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) |
(+ (* 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) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 beta i) (+.f64 beta i) (*.f64 (+.f64 beta i) i)) i) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta i) (+.f64 beta i))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.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) (+.f64 beta i) (*.f64 (+.f64 beta i) i)) i) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta i) (+.f64 beta i))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 i i)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) |
(+ (* 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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(* i (+ beta i)) |
(*.f64 (+.f64 beta i) i) |
(+ (* alpha (+ beta i)) (* i (+ beta i))) |
(*.f64 (+.f64 beta i) (+.f64 alpha i)) |
(+ (* alpha (+ beta i)) (* i (+ beta i))) |
(*.f64 (+.f64 beta i) (+.f64 alpha i)) |
(+ (* alpha (+ beta i)) (* i (+ beta i))) |
(*.f64 (+.f64 beta i) (+.f64 alpha i)) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
(*.f64 (*.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))) |
(+ (* 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) (+.f64 beta i) (*.f64 (+.f64 beta i) i)) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) (*.f64 (+.f64 beta i) (+.f64 beta i))) (*.f64 i i)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (*.f64 (*.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))))) |
(+ (* 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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(+ beta i) |
(+.f64 beta i) |
(+ alpha (+ beta i)) |
(+.f64 (+.f64 beta i) alpha) |
(+ alpha (+ beta i)) |
(+.f64 (+.f64 beta i) alpha) |
(+ alpha (+ beta i)) |
(+.f64 (+.f64 beta i) alpha) |
beta |
(+ alpha beta) |
(+.f64 beta alpha) |
(+ alpha beta) |
(+.f64 beta alpha) |
(+ alpha beta) |
(+.f64 beta alpha) |
(/ (* (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 (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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(+ (* alpha (- (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 4 beta) (* 8 i)))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))))) (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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(/ (* i (+ beta i)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) |
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(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* i (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (/ (* (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1) (- (+ (/ beta (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (/ i (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))))) (+ (/ beta (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (/ i (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))))) (/ (* i (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* i (+ beta i)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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(+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (/ (* i (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (/ (* (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1) (- (+ (/ beta (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (/ i (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (+ (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (/ (* (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) (- (+ (/ beta (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (/ i (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))))))) (+ (/ (* i (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (/ (* (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1) (- (+ (/ beta (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (/ i (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))))) (+ (/ beta (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (/ i (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))))) (/ (* i (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* i (+ beta i)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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#s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64))) (/.f64 (-.f64 (+.f64 (/.f64 i (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 beta (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) (/.f64 (*.f64 (*.f64 (+.f64 beta i) i) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (*.f64 (*.f64 (+.f64 beta i) i) (+.f64 (fma.f64 beta #s(literal 2 binary64) (*.f64 i #s(literal 6 binary64))) beta)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))))) alpha (-.f64 (+.f64 (/.f64 i (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 beta (*.f64 (fma.f64 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(/ (* i (+ beta i)) (+ beta (* 2 i))) |
(/.f64 (*.f64 (+.f64 beta i) i) (fma.f64 #s(literal 2 binary64) i beta)) |
(+ (* alpha (- (/ i (+ beta (* 2 i))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i)))) |
(fma.f64 (-.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) alpha (/.f64 (*.f64 (+.f64 beta i) i) (fma.f64 #s(literal 2 binary64) i beta))) |
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 2)))) (/ i (+ beta (* 2 i)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 i (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) alpha (-.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))) alpha (/.f64 (*.f64 (+.f64 beta i) i) (fma.f64 #s(literal 2 binary64) i beta))) |
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ i (pow (+ beta (* 2 i)) 3)) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 4)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 3))) (/ i (pow (+ beta (* 2 i)) 2)))) (/ i (+ beta (* 2 i)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i)))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 i (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (*.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 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 i (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))) alpha (-.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))) alpha (/.f64 (*.f64 (+.f64 beta i) i) (fma.f64 #s(literal 2 binary64) i beta))) |
(* alpha i) |
(*.f64 alpha i) |
(* alpha (+ i (* -1 (/ (* alpha i) beta)))) |
(*.f64 (+.f64 (neg.f64 (*.f64 alpha (/.f64 i beta))) i) alpha) |
(* alpha (+ i (* alpha (- (/ (* alpha i) (pow beta 2)) (/ i beta))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 alpha (/.f64 i (*.f64 beta beta))) (/.f64 i beta)) alpha i) alpha) |
(* alpha (+ i (* alpha (- (* alpha (- (* -1 (/ (* alpha i) (pow beta 3))) (* -1 (/ i (pow beta 2))))) (/ i beta))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (neg.f64 (*.f64 alpha (/.f64 i (*.f64 (*.f64 beta beta) beta)))) (/.f64 (neg.f64 i) (*.f64 beta beta))) alpha (neg.f64 (/.f64 i beta))) alpha i) alpha) |
(* alpha (* beta i)) |
(*.f64 (*.f64 beta i) alpha) |
(* alpha (* beta i)) |
(*.f64 (*.f64 beta i) alpha) |
(* alpha (* beta i)) |
(*.f64 (*.f64 beta i) alpha) |
(* alpha (* beta i)) |
(*.f64 (*.f64 beta i) alpha) |
(/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
(/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) |
(+ (* alpha (- (/ i (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* i (* (+ beta i) (+ (* (+ (* 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)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* i (* (+ beta i) (- (+ (* 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 (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* i (* (+ beta i) (+ (* (+ (* 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 (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (* (+ beta i) (+ (* (+ (* 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)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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(+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (+ (/ (* i (* (+ beta i) (- (+ (* 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 (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* i (* (+ beta i) (+ (* (+ (* 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)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (/ (* (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1) (- (/ i (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* i (* (+ beta i) (+ (* (+ (* 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) (- (+ (* 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 (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* i (* (+ beta i) (+ (* (+ (* 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 (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (* (+ beta i) (+ (* (+ (* 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)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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(fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))))) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) (/.f64 (-.f64 (/.f64 i (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) (/.f64 (*.f64 (*.f64 (+.f64 beta i) i) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) (/.f64 (*.f64 (*.f64 (+.f64 beta i) i) (-.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 2 binary64))) #s(literal 1 binary64))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))))) alpha (-.f64 (/.f64 i (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) (/.f64 (*.f64 (*.f64 (+.f64 beta i) i) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))))) alpha (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 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(* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) |
(+ (* alpha (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
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(*.f64 (+.f64 (/.f64 i alpha) #s(literal 1 binary64)) alpha) |
(pow alpha 2) |
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(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha))))) |
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(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2)))) |
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(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2)))) |
(*.f64 (-.f64 (+.f64 (fma.f64 (/.f64 beta alpha) #s(literal 2 binary64) (fma.f64 (/.f64 i alpha) #s(literal 4 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 alpha alpha)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 alpha alpha))) (*.f64 alpha alpha)) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 i alpha) #s(literal 2 binary64) (/.f64 beta alpha)) #s(literal 1 binary64)) alpha) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 i alpha) #s(literal 2 binary64) (/.f64 beta alpha)) #s(literal 1 binary64)) alpha) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 i alpha) #s(literal 2 binary64) (/.f64 beta alpha)) #s(literal 1 binary64)) alpha) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/.f64 (*.f64 (+.f64 beta i) i) (*.f64 alpha alpha)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
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(* i (+ beta i)) |
(*.f64 (+.f64 beta i) i) |
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(* alpha (+ beta i)) |
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(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
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alpha |
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(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha)))) |
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(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* -1 (* (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) (+ (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)) (* (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) (- (* i (+ beta i)) (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))))))) (+ (* (+ beta i) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* (- (* i (+ beta i)) (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)))) (pow alpha 3))) (/ (* i (+ beta i)) alpha)))) (+ (/ (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) alpha) (+ (/ (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)) (pow alpha 2)) (/ (* (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) (- (* i (+ beta i)) (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))))) (pow alpha 2))))) (pow alpha 2)) |
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i |
(- (+ i (/ (* i (+ beta i)) alpha)) (/ (* i (+ beta (* 2 i))) alpha)) |
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(* beta i) |
(*.f64 beta i) |
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(- (+ (* beta i) (/ (* (pow beta 3) i) (pow alpha 2))) (/ (* (pow beta 2) i) alpha)) |
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(- (+ (* -1 (/ (* (pow beta 4) i) (pow alpha 3))) (* beta i)) (+ (* -1 (/ (* (pow beta 3) i) (pow alpha 2))) (/ (* (pow beta 2) i) alpha))) |
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(* alpha (* beta i)) |
(*.f64 (*.f64 beta i) alpha) |
(* alpha (* beta i)) |
(*.f64 (*.f64 beta i) alpha) |
(* alpha (* beta i)) |
(*.f64 (*.f64 beta i) alpha) |
(* alpha (* beta i)) |
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(/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* 4 beta) (* 8 i)) (+ (* i (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ beta i)) (* i (+ (* 4 beta) (* 8 i)))))))) (+ (* i (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i))))) (* (- (* i (+ beta i)) (* i (+ (* 4 beta) (* 8 i)))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (/ (* i (+ beta i)) alpha))) (+ (/ (* i (+ (* 4 beta) (* 8 i))) alpha) (+ (/ (* i (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ beta i)) (* i (+ (* 4 beta) (* 8 i))))) (pow alpha 2))))) (pow alpha 3)) |
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(pow alpha 4) |
(pow.f64 alpha #s(literal 4 binary64)) |
(* (pow alpha 4) (+ 1 (+ (* 4 (/ beta alpha)) (* 8 (/ i alpha))))) |
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(* (pow alpha 4) (- (+ 1 (+ (* 2 (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))) (+ (* 4 (/ beta alpha)) (+ (* 8 (/ i alpha)) (/ (pow (+ (* 2 beta) (* 4 i)) 2) (pow alpha 2)))))) (/ 1 (pow alpha 2)))) |
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(* (pow alpha 4) (- (+ 1 (+ (* 2 (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))) (+ (* 4 (/ beta alpha)) (+ (* 8 (/ i alpha)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (pow alpha 3)) (+ (/ (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i))) (pow alpha 3)) (/ (pow (+ (* 2 beta) (* 4 i)) 2) (pow alpha 2)))))))) (/ 1 (pow alpha 2)))) |
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(pow alpha 2) |
(*.f64 alpha alpha) |
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(* alpha i) |
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alpha |
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(* -1 (* alpha (+ (* -1 beta) (* -1 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 (/ (- (+ (* -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 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1))) |
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alpha |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
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(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
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(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 beta) alpha) #s(literal 1 binary64))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/.f64 (*.f64 (neg.f64 i) (+.f64 (neg.f64 beta) (neg.f64 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)) |
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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 (fma.f64 (neg.f64 i) (+.f64 (neg.f64 beta) (neg.f64 i)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 i i)) (fma.f64 (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 (+.f64 (neg.f64 beta) (neg.f64 i)) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) i) (+.f64 (neg.f64 beta) (neg.f64 i))))) (*.f64 (neg.f64 i) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 6 binary64) #s(literal -1 binary64)) (+.f64 (neg.f64 beta) (neg.f64 i)))))) alpha)) (fma.f64 (fma.f64 (+.f64 (neg.f64 beta) (neg.f64 i)) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) i) (+.f64 (neg.f64 beta) (neg.f64 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 (/ (+ (* -1 beta) (* -1 i)) (pow alpha 2))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 beta) (neg.f64 i))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (* -1 (* i (+ beta i))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i)))) alpha))) (pow alpha 2)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (/.f64 (-.f64 (*.f64 (neg.f64 i) (+.f64 beta i)) (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) (+.f64 (neg.f64 beta) (neg.f64 i)))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (+ (* -1 (/ (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (- (* -1 (* i (+ beta i))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i))))) alpha)) (/ (* (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (- (pow (+ beta (* 2 i)) 2) 1))) (+ (* -1 beta) (* -1 i))) alpha))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i)))) alpha))) (pow alpha 2)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (/.f64 (-.f64 (fma.f64 (neg.f64 i) (+.f64 beta i) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) #s(literal -2 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)))) (neg.f64 (/.f64 (+.f64 beta i) alpha)) (/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 i) (+.f64 beta i)) (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) (+.f64 (neg.f64 beta) (neg.f64 i)))) (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta))) alpha))) (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) (+.f64 (neg.f64 beta) (neg.f64 i)))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (- (pow (+ beta (* 2 i)) 2) 1))) (- (* -1 (* i (+ beta i))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i))))) alpha)) (+ (/ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (pow (+ beta (* 2 i)) 2) 1))) alpha) (/ (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (- (* -1 (* i (+ beta i))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i)))))) (* (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (- (pow (+ beta (* 2 i)) 2) 1))) (+ (* -1 beta) (* -1 i))))) alpha))) (+ (* -1 (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (- (* -1 (* i (+ beta i))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i)))))) (* (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (- (pow (+ beta (* 2 i)) 2) 1))) (+ (* -1 beta) (* -1 i))))) alpha))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i)))) alpha))) (pow alpha 2)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (/.f64 (-.f64 (fma.f64 (neg.f64 i) (+.f64 beta i) (neg.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) (/.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) #s(literal -2 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)))) (+.f64 (neg.f64 beta) (neg.f64 i)) (neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 i) (+.f64 beta i)) (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) (+.f64 (neg.f64 beta) (neg.f64 i)))) (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta)))) alpha) (/.f64 (*.f64 (*.f64 (+.f64 (neg.f64 beta) (neg.f64 i)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i beta)) alpha)) (neg.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) #s(literal -2 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)))) (/.f64 (-.f64 (*.f64 (neg.f64 i) (+.f64 beta i)) (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) (+.f64 (neg.f64 beta) (neg.f64 i)))) alpha)))) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) #s(literal -2 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)))) (+.f64 (neg.f64 beta) (neg.f64 i)) (neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 i) (+.f64 beta i)) (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) (+.f64 (neg.f64 beta) (neg.f64 i)))) (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta))))) alpha))) (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) (+.f64 (neg.f64 beta) (neg.f64 i)))) alpha))) (*.f64 alpha alpha)) |
i |
(+ i (* -1 (/ (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i))))) alpha))) |
(+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 i (-.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) i beta)))) alpha)) i) |
(+ i (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i)))))) alpha))) (* -1 (* i (+ beta (* 2 i))))) alpha))) |
(+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 i) (+.f64 beta i) (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 i (-.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) i beta)))) alpha))) (*.f64 (neg.f64 i) (fma.f64 #s(literal 2 binary64) i beta)))) alpha)) i) |
(+ i (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (- (* -1 (/ (* (pow (+ beta (* 2 i)) 2) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i)))))) alpha)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i)))))))) alpha))) (* -1 (* i (+ beta (* 2 i))))) alpha))) |
(+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 i) (+.f64 beta i) (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 i (-.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) i beta)))) alpha))) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 i (-.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) i beta)))) (fma.f64 #s(literal 2 binary64) i beta)))) alpha))) (*.f64 (neg.f64 i) (fma.f64 #s(literal 2 binary64) i beta))) alpha)) i) |
(* beta i) |
(*.f64 beta i) |
(+ (* -1 (/ (* (pow beta 2) i) alpha)) (* beta i)) |
(fma.f64 beta i (neg.f64 (/.f64 (*.f64 (*.f64 beta beta) i) alpha))) |
(+ (* -1 (/ (+ (* -1 (/ (* (pow beta 3) i) alpha)) (* (pow beta 2) i)) alpha)) (* beta i)) |
(fma.f64 beta i (neg.f64 (/.f64 (fma.f64 (*.f64 beta beta) i (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 beta beta) beta) i) alpha))) alpha))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow beta 4) i) alpha)) (* (pow beta 3) i)) alpha)) (* (pow beta 2) i)) alpha)) (* beta i)) |
(fma.f64 beta i (neg.f64 (/.f64 (fma.f64 (*.f64 beta beta) i (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 beta beta) beta) i (neg.f64 (/.f64 (*.f64 (pow.f64 beta #s(literal 4 binary64)) i) alpha))) alpha))) alpha))) |
(* alpha (* beta i)) |
(*.f64 (*.f64 beta i) alpha) |
(* alpha (* beta i)) |
(*.f64 (*.f64 beta i) alpha) |
(* alpha (* beta i)) |
(*.f64 (*.f64 beta i) alpha) |
(* alpha (* beta i)) |
(*.f64 (*.f64 beta i) alpha) |
(/ i (pow alpha 3)) |
(/.f64 i (*.f64 (*.f64 alpha alpha) alpha)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* 4 (* i (+ beta (* 2 i))))) alpha))) (pow alpha 3))) |
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (+.f64 beta i) i (*.f64 #s(literal -4 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) i))) alpha)) (neg.f64 i)) (*.f64 (*.f64 alpha alpha) alpha))) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* 4 (* i (+ beta (* 2 i)))))) alpha)) (+ (* -1 (/ (* i (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)) (* i (+ beta i)))) (* 4 (* i (+ beta (* 2 i))))) alpha))) (pow alpha 3))) |
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (/.f64 (fma.f64 (+.f64 beta i) i (*.f64 #s(literal -4 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) i))) alpha)) #s(literal -4 binary64) (-.f64 (fma.f64 (+.f64 beta i) i (neg.f64 (/.f64 (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 6 binary64) #s(literal -1 binary64)) i) alpha))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) i) #s(literal 4 binary64)))) alpha)) (neg.f64 i)) (*.f64 (*.f64 alpha alpha) alpha))) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3)))) alpha)) (+ (* 4 (/ (* (+ beta (* 2 i)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* 4 (* i (+ beta (* 2 i))))))) (* -1 (* i (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))) alpha)) (/ (* (- (* i (+ beta i)) (* 4 (* i (+ beta (* 2 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* 4 (* i (+ beta (* 2 i))))))) (* -1 (* i (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))) alpha)) (* i (+ beta i))) (* 4 (* i (+ beta (* 2 i))))) alpha))) (pow alpha 3))) |
(neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (+.f64 beta i) i (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)))) i) alpha)) (-.f64 (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (+.f64 beta i) i (*.f64 #s(literal -4 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) i))) (*.f64 (neg.f64 i) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 6 binary64) #s(literal -1 binary64)))) (fma.f64 #s(literal 2 binary64) i beta)) alpha) #s(literal 4 binary64) (*.f64 (fma.f64 (+.f64 beta i) i (*.f64 #s(literal -4 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) i))) (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 6 binary64) #s(literal -1 binary64)) alpha))) (fma.f64 (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (+.f64 beta i) i (*.f64 #s(literal -4 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) i))) (*.f64 (neg.f64 i) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 6 binary64) #s(literal -1 binary64)))))) alpha))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) i) #s(literal 4 binary64))) alpha)) (neg.f64 i)) (*.f64 (*.f64 alpha alpha) alpha))) |
(pow alpha 4) |
(pow.f64 alpha #s(literal 4 binary64)) |
(* (pow alpha 4) (+ 1 (* 4 (/ (+ beta (* 2 i)) alpha)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal 4 binary64) #s(literal 1 binary64)) (pow.f64 alpha #s(literal 4 binary64))) |
(* (pow alpha 4) (+ 1 (* -1 (/ (+ (* -4 (+ beta (* 2 i))) (* -1 (/ (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1) alpha))) alpha)))) |
(*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) i beta) (neg.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 6 binary64) #s(literal -1 binary64)) alpha))) alpha)) #s(literal 1 binary64)) (pow.f64 alpha #s(literal 4 binary64))) |
(* (pow alpha 4) (+ 1 (* -1 (/ (+ (* -4 (+ beta (* 2 i))) (* -1 (/ (- (+ (* -1 (/ (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) alpha)) (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2)))) 1) alpha))) alpha)))) |
(*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) i beta) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 #s(literal 2 binary64) i beta)))) alpha)) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 6 binary64) #s(literal -1 binary64))) alpha))) alpha)) #s(literal 1 binary64)) (pow.f64 alpha #s(literal 4 binary64))) |
(pow alpha 2) |
(*.f64 alpha alpha) |
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha)))) |
(*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) alpha))) alpha)) #s(literal 1 binary64)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha)))) |
(*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) alpha))) alpha)) #s(literal 1 binary64)) (*.f64 alpha alpha)) |
(* -1 (+ (* -1 beta) (* -1 i))) |
(neg.f64 (+.f64 (neg.f64 beta) (neg.f64 i))) |
(+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (* -1 (* i (+ beta i))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))) alpha))) |
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (/.f64 (-.f64 (*.f64 (neg.f64 i) (+.f64 beta i)) (*.f64 (+.f64 (neg.f64 beta) (neg.f64 i)) (fma.f64 #s(literal 2 binary64) i beta))) alpha))) |
(+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))) alpha))) |
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (/.f64 (-.f64 (fma.f64 (neg.f64 i) (+.f64 beta i) (/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 i) (+.f64 beta i)) (*.f64 (+.f64 (neg.f64 beta) (neg.f64 i)) (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 #s(literal 2 binary64) i beta))) alpha)) (*.f64 (+.f64 (neg.f64 beta) (neg.f64 i)) (fma.f64 #s(literal 2 binary64) i beta))) alpha))) |
(+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (- (* -1 (/ (* (pow (+ beta (* 2 i)) 2) (- (* -1 (* i (+ beta i))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))) alpha)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))) alpha))) |
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (/.f64 (-.f64 (fma.f64 (neg.f64 i) (+.f64 beta i) (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (-.f64 (*.f64 (neg.f64 i) (+.f64 beta i)) (*.f64 (+.f64 (neg.f64 beta) (neg.f64 i)) (fma.f64 #s(literal 2 binary64) i beta))) alpha))) (neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 i) (+.f64 beta i)) (*.f64 (+.f64 (neg.f64 beta) (neg.f64 i)) (fma.f64 #s(literal 2 binary64) i beta))) (fma.f64 #s(literal 2 binary64) i beta)))) alpha))) (*.f64 (+.f64 (neg.f64 beta) (neg.f64 i)) (fma.f64 #s(literal 2 binary64) i beta))) alpha))) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(/.f64 (*.f64 (*.f64 beta i) alpha) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #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 alpha (/.f64 beta (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) beta) alpha) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))))) i (/.f64 (*.f64 beta alpha) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.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 alpha (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 beta (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))))) (fma.f64 alpha (/.f64 (*.f64 (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64))) beta) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) (/.f64 (*.f64 (-.f64 (fma.f64 alpha (/.f64 beta (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) beta) alpha) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))))) (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))))) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))))) i (-.f64 (fma.f64 alpha (/.f64 beta (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) beta) alpha) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))))) i (/.f64 (*.f64 beta alpha) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.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 alpha (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 beta (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (fma.f64 (/.f64 (*.f64 beta alpha) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) #s(literal 32 binary64) (fma.f64 (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) beta) alpha) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))))) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 beta (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))))) (fma.f64 alpha (/.f64 (*.f64 (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64))) beta) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) (/.f64 (*.f64 (-.f64 (fma.f64 alpha (/.f64 beta (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) beta) alpha) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))))) (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))))) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))))) (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))))) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))))))) i)) (fma.f64 alpha (/.f64 (*.f64 (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64))) beta) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) (/.f64 (*.f64 (-.f64 (fma.f64 alpha (/.f64 beta (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) beta) alpha) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))))) (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))))) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))))) i (-.f64 (fma.f64 alpha (/.f64 beta (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) beta) alpha) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))))) i (/.f64 (*.f64 beta alpha) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha)))) i) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(/.f64 (*.f64 (*.f64 beta i) alpha) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #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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alpha |
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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))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 beta (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (fma.f64 (/.f64 (*.f64 beta alpha) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) #s(literal 32 binary64) (fma.f64 (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) beta) alpha) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))))) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 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#s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))))))) i)) (fma.f64 alpha (/.f64 (*.f64 (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64))) beta) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) (/.f64 (*.f64 (-.f64 (fma.f64 alpha (/.f64 beta (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) beta) alpha) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))))) (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))))) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))))) i (-.f64 (fma.f64 alpha (/.f64 beta (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) beta) alpha) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))))) i (/.f64 (*.f64 beta alpha) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha)))) i) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(/.f64 (*.f64 (*.f64 beta i) alpha) (+.f64 beta alpha)) |
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) 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 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (/.f64 beta (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))))) (*.f64 #s(literal 4 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (+.f64 beta alpha))))) i (/.f64 (*.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) 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 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (/.f64 beta (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (/.f64 beta (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))))) (*.f64 #s(literal 4 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (+.f64 beta alpha))))) (+.f64 beta alpha))))) i)) (*.f64 #s(literal 4 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (+.f64 beta alpha))))) i (/.f64 (*.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) i (*.f64 alpha (/.f64 beta (+.f64 beta alpha)))) i) |
(* alpha beta) |
(*.f64 beta alpha) |
(+ (* alpha beta) (* i (+ alpha beta))) |
(fma.f64 (+.f64 beta alpha) i (*.f64 beta alpha)) |
(+ (* alpha beta) (* i (+ alpha (+ beta i)))) |
(fma.f64 (+.f64 (+.f64 beta i) alpha) i (*.f64 beta alpha)) |
(+ (* alpha beta) (* i (+ alpha (+ beta i)))) |
(fma.f64 (+.f64 (+.f64 beta i) alpha) i (*.f64 beta alpha)) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(/.f64 (*.f64 (*.f64 beta i) alpha) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #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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(+ alpha beta) |
(+.f64 beta alpha) |
(+ alpha (+ beta i)) |
(+.f64 (+.f64 beta i) alpha) |
(+ alpha (+ beta i)) |
(+.f64 (+.f64 beta i) alpha) |
(+ alpha (+ beta i)) |
(+.f64 (+.f64 beta i) alpha) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(/.f64 (*.f64 (*.f64 beta i) alpha) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #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 (+ 1 (* -1 (/ i (+ alpha beta))))) |
(*.f64 (+.f64 (/.f64 (neg.f64 i) (+.f64 beta alpha)) #s(literal 1 binary64)) i) |
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(* alpha (* beta i)) |
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(* i (+ (* i (- (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 3 (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3)))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 4 (/ 1 (* (pow (+ alpha beta) 3) (- (pow (+ alpha beta) 2) 1)))) (* 20 (/ 1 (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2)))))) (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3)))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* -1 (/ (* (+ (* 3 (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 32 (/ 1 (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))))))) (+ (* -1 (/ (* (+ (* 3 (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3)))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 4 (/ 1 (* (pow (+ alpha beta) 3) (- (pow (+ alpha beta) 2) 1)))) (* 20 (/ 1 (* (+ alpha beta) (pow (- (pow (+ alpha beta) 2) 1) 2)))))))) (+ (* 3 (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 4 (/ 1 (pow (- (pow (+ alpha beta) 2) 1) 2)))))) (/ 1 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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#s(literal 1/16 binary64) |
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i |
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(* 2 i) |
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1/16 |
#s(literal 1/16 binary64) |
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(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3))))))))) |
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(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/4 binary64)) (*.f64 #s(literal 1/4 binary64) (/.f64 (+.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 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 alpha (/.f64 beta (*.f64 i 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 alpha (/.f64 beta (*.f64 i 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 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 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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i |
(* i (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 (/.f64 alpha i) #s(literal 1 binary64)) (/.f64 beta i)) i) |
(* i (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 (/.f64 alpha i) #s(literal 1 binary64)) (/.f64 beta i)) i) |
(* i (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 (/.f64 alpha i) #s(literal 1 binary64)) (/.f64 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 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 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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(/ 1/8 i) |
(/.f64 #s(literal 1/8 binary64) i) |
(/ (- (+ 1/8 (* 1/8 (/ (+ alpha beta) i))) (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i))) i) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (+.f64 beta alpha) (*.f64 #s(literal -1/64 binary64) (*.f64 (+.f64 beta alpha) #s(literal 12 binary64)))) i)) i) |
(/ (- (+ 1/8 (+ (* 1/8 (/ (* alpha beta) (pow i 2))) (* 1/8 (/ (+ alpha beta) i)))) (+ (* 1/64 (/ (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 2)))))) i) |
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(/ (- (+ 1/8 (+ (* -1 (/ (+ (* 1/64 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (+ (* 1/8 (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))) (* 1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (* alpha beta)) (+ (* 1/64 (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2)))) (* 1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))))))))) (pow i 3))) (+ (* 1/8 (/ (* alpha beta) (pow i 2))) (* 1/8 (/ (+ alpha beta) i))))) (+ (* 1/64 (/ (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 2)))))) i) |
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(* 1/2 i) |
(*.f64 #s(literal 1/2 binary64) i) |
(* i (- (+ 1/2 (* 1/2 (/ (+ alpha beta) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 beta alpha) i))) i) |
(* i (- (+ 1/2 (+ (* -1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2))) (* 1/2 (/ (+ alpha beta) i)))) (* 1/4 (/ (+ alpha beta) i)))) |
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(* i (- (+ 1/2 (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 3))) (* 1/2 (/ (+ alpha beta) i)))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
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(/ (* alpha (* beta i)) (+ alpha beta)) |
(/.f64 (*.f64 (*.f64 beta i) alpha) (+.f64 beta alpha)) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(/.f64 (*.f64 (*.f64 beta i) alpha) (+.f64 beta alpha)) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(/.f64 (*.f64 (*.f64 beta i) alpha) (+.f64 beta alpha)) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(/.f64 (*.f64 (*.f64 beta i) alpha) (+.f64 beta alpha)) |
(* alpha (* beta i)) |
(*.f64 (*.f64 beta i) alpha) |
(* alpha (* beta i)) |
(*.f64 (*.f64 beta i) alpha) |
(* alpha (* beta i)) |
(*.f64 (*.f64 beta i) alpha) |
(* alpha (* beta i)) |
(*.f64 (*.f64 beta i) alpha) |
(/ 1/16 (pow i 2)) |
(/.f64 #s(literal 1/16 binary64) (*.f64 i i)) |
(/ (- (+ 1/16 (* 1/16 (/ (+ alpha beta) i))) (* 1/8 (/ (+ alpha beta) i))) (pow i 2)) |
(/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) (*.f64 i i)) |
(/ (- (+ 1/16 (+ (* -1 (/ (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ alpha beta)) (* 1/8 (+ alpha beta)))))) (pow i 2))) (* 1/16 (/ (+ alpha beta) i)))) (* 1/8 (/ (+ alpha beta) i))) (pow i 2)) |
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(/ (- (+ 1/16 (+ (* -1 (/ (+ (* -2 (* (+ alpha beta) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ alpha beta)) (* 1/8 (+ alpha beta)))))))) (+ (* 1/256 (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3)))) (* 1/16 (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ alpha beta)) (* 1/8 (+ alpha beta))))))) (pow i 3))) (* 1/16 (/ (+ alpha beta) i)))) (+ (* 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 (+ alpha beta)) (* 1/8 (+ alpha beta)))) (pow i 2)))))) (pow i 2)) |
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(* 16 (pow i 4)) |
(*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) |
(* (pow i 4) (+ 16 (* 32 (/ (+ alpha beta) i)))) |
(*.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 32 binary64) #s(literal 16 binary64)) (pow.f64 i #s(literal 4 binary64))) |
(* (pow i 4) (+ 16 (+ (* 4 (/ (- (pow (+ alpha beta) 2) 1) (pow i 2))) (+ (* 4 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 16 (/ (pow (+ alpha beta) 2) (pow i 2))) (* 32 (/ (+ alpha beta) i))))))) |
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(* (pow i 4) (+ 16 (+ (* 4 (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)) (pow i 3))) (+ (* 4 (/ (- (pow (+ alpha beta) 2) 1) (pow i 2))) (+ (* 4 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 4 (/ (pow (+ alpha beta) 3) (pow i 3))) (+ (* 16 (/ (pow (+ alpha beta) 2) (pow i 2))) (* 32 (/ (+ alpha beta) i))))))))) |
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(* 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 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.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 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 i i))) (*.f64 i i)) |
(* 1/2 i) |
(*.f64 #s(literal 1/2 binary64) i) |
(* i (- (+ 1/2 (* 1/2 (/ (+ alpha beta) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 beta alpha) i))) i) |
(* i (- (+ 1/2 (+ (* 1/2 (/ (* alpha beta) (pow i 2))) (* 1/2 (/ (+ alpha beta) i)))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 alpha (/.f64 beta (*.f64 i i)) (/.f64 (+.f64 beta alpha) i)) #s(literal 1/2 binary64)) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)) (*.f64 i i)) #s(literal 1/2 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 beta alpha) i)))) i) |
(* i (- (+ 1/2 (+ (* -1/2 (/ (* (+ alpha beta) (- (* 1/2 (* alpha beta)) (* 1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta))))))) (pow i 3))) (+ (* 1/2 (/ (* alpha beta) (pow i 2))) (* 1/2 (/ (+ alpha beta) i))))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
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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 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
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i |
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1/16 |
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(* 1/2 i) |
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(/ (* alpha (* beta i)) (+ alpha beta)) |
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(/ (* alpha (* beta i)) (+ alpha beta)) |
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(* 16 (pow i 4)) |
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(* (pow i 4) (+ 16 (* 32 (/ (+ alpha beta) i)))) |
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(* (pow i 4) (+ 16 (* -1 (/ (+ (* -32 (+ alpha beta)) (* -1 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i))) i)))) |
(*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -32 binary64) (+.f64 beta alpha) (neg.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64))) i))) i)) #s(literal 16 binary64)) (pow.f64 i #s(literal 4 binary64))) |
(* (pow i 4) (+ 16 (* -1 (/ (+ (* -32 (+ alpha beta)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) i))) i)))) |
(*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -32 binary64) (+.f64 beta alpha) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) i)) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64)))) i))) i)) #s(literal 16 binary64)) (pow.f64 i #s(literal 4 binary64))) |
(* 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 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)))) |
(*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (+.f64 beta alpha) (/.f64 (neg.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) i)) i)) #s(literal 4 binary64)) (*.f64 i i)) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)))) |
(*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (+.f64 beta alpha) (/.f64 (neg.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) i)) i)) #s(literal 4 binary64)) (*.f64 i i)) |
(* 1/2 i) |
(*.f64 #s(literal 1/2 binary64) i) |
(* -1 (* i (- (* -1 (/ (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta))) i)) 1/2))) |
(*.f64 (neg.f64 i) (-.f64 (neg.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 beta alpha) i))) #s(literal 1/2 binary64))) |
(* -1 (* i (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))))) i)) (* 1/2 (+ alpha beta))) (* 1/4 (+ alpha beta))) i)) 1/2))) |
(*.f64 (neg.f64 i) (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 beta alpha) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)))) i)) (*.f64 #s(literal 1/4 binary64) (+.f64 beta alpha))) i)) #s(literal 1/2 binary64))) |
(* -1 (* i (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (* alpha beta)) (* -1/2 (/ (* (+ alpha beta) (- (* -1/2 (* alpha beta)) (* -1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta))))))) i))) (* -1/2 (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))))) i)) (* 1/2 (+ alpha beta))) (* 1/4 (+ alpha beta))) i)) 1/2))) |
(*.f64 (neg.f64 i) (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 beta alpha (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 beta alpha) (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)))) (+.f64 beta alpha)) i)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal 1/4 binary64) (+.f64 beta alpha)))) i)) (*.f64 #s(literal 1/4 binary64) (+.f64 beta alpha))) i)) #s(literal 1/2 binary64))) |
| 4 600× | lower-fma.f32 |
| 4 594× | lower-fma.f64 |
| 4 366× | lower-/.f32 |
| 4 352× | lower-/.f64 |
| 4 186× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 536 |
| 0 | 79 | 430 |
| 1 | 396 | 424 |
| 2 | 3605 | 424 |
| 0 | 8596 | 424 |
| 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) i) (*.f64 beta beta))) |
(/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 beta beta)) |
(*.f64 (+.f64 alpha i) i) |
(+.f64 alpha i) |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (*.f64 (*.f64 beta alpha) 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))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (*.f64 (*.f64 beta alpha) i) (+.f64 beta alpha))) |
(fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) |
(*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) 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 (+.f64 beta alpha) i) |
(+.f64 beta alpha) |
(*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (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)))) |
(/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (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))) |
(*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(*.f64 beta beta) |
(/.f64 (*.f64 (*.f64 beta alpha) i) (+.f64 beta alpha)) |
(*.f64 (*.f64 beta alpha) i) |
(/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) 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 (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 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
(/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 i (*.f64 beta beta)) (+.f64 alpha i))) |
(*.f64 (/.f64 #s(literal 1 binary64) beta) (*.f64 i (/.f64 (+.f64 alpha i) beta))) |
(*.f64 (/.f64 i (*.f64 beta beta)) (+.f64 alpha i)) |
(*.f64 (*.f64 i (/.f64 (+.f64 alpha i) beta)) (/.f64 #s(literal 1 binary64) beta)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha i) i)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (*.f64 (+.f64 alpha i) i)) |
(*.f64 (/.f64 i beta) (/.f64 (+.f64 alpha i) beta)) |
(*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)) |
(*.f64 (*.f64 (neg.f64 i) (+.f64 alpha i)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 beta) beta))) |
(*.f64 (*.f64 (+.f64 alpha i) i) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) |
(*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 i (*.f64 beta beta)) (+.f64 alpha i))) |
(*.f64 i (/.f64 (+.f64 alpha i) (*.f64 beta beta))) |
(*.f64 i (*.f64 (+.f64 alpha i) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))) |
(pow.f64 (/.f64 beta (*.f64 i (/.f64 (+.f64 alpha i) beta))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 beta (/.f64 beta (*.f64 (+.f64 alpha i) i))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 beta (/.f64 beta (*.f64 (+.f64 alpha i) i))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (+.f64 alpha i) (-.f64 alpha i)) (/.f64 i (*.f64 beta beta))) (-.f64 alpha i)) |
(/.f64 (*.f64 (fma.f64 (*.f64 alpha alpha) alpha (*.f64 (*.f64 i i) i)) (/.f64 i (*.f64 beta beta))) (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha))) |
(/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta) |
(/.f64 (*.f64 (*.f64 (+.f64 alpha i) i) #s(literal 1 binary64)) (*.f64 beta beta)) |
(/.f64 (neg.f64 (*.f64 i (/.f64 (+.f64 alpha i) beta))) (neg.f64 beta)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 i) (+.f64 alpha i))) (neg.f64 (*.f64 (neg.f64 beta) beta))) |
(/.f64 (*.f64 (*.f64 (+.f64 alpha i) (-.f64 alpha i)) i) (*.f64 (-.f64 alpha i) (*.f64 beta beta))) |
(/.f64 (*.f64 (fma.f64 (*.f64 alpha alpha) alpha (*.f64 (*.f64 i i) i)) i) (*.f64 (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)) (*.f64 beta beta))) |
(/.f64 (*.f64 i (/.f64 (+.f64 alpha i) beta)) beta) |
(/.f64 (*.f64 (neg.f64 i) (+.f64 alpha i)) (*.f64 (neg.f64 beta) beta)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 beta (/.f64 beta (*.f64 (+.f64 alpha i) i))))) |
(/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 beta beta)) |
(/.f64 #s(literal 1 binary64) (/.f64 beta (*.f64 i (/.f64 (+.f64 alpha i) beta)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta (/.f64 beta (*.f64 (+.f64 alpha i) i))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (*.f64 (+.f64 alpha i) i)))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 i) (+.f64 alpha i)) (*.f64 beta beta))) |
(neg.f64 (/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 (neg.f64 beta) beta))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 beta) beta)) (/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 (neg.f64 beta) beta))) |
(exp.f64 (*.f64 (log.f64 (*.f64 beta (/.f64 beta (*.f64 (+.f64 alpha i) i)))) #s(literal -1 binary64))) |
(*.f64 (+.f64 alpha i) i) |
(*.f64 i (+.f64 alpha i)) |
(/.f64 (fma.f64 (*.f64 (*.f64 alpha i) (*.f64 alpha i)) (*.f64 alpha i) (*.f64 (*.f64 (*.f64 i i) i) (*.f64 (*.f64 i i) i))) (fma.f64 (*.f64 alpha i) (*.f64 alpha i) (-.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 alpha i) (*.f64 i i))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 i i) (*.f64 (*.f64 (*.f64 alpha alpha) alpha) (*.f64 (*.f64 i i) i))) (fma.f64 (*.f64 i i) (*.f64 i i) (-.f64 (*.f64 (*.f64 alpha i) (*.f64 alpha i)) (*.f64 (*.f64 i i) (*.f64 alpha i))))) |
(/.f64 (*.f64 i (*.f64 (+.f64 alpha i) (-.f64 alpha i))) (-.f64 alpha i)) |
(/.f64 (*.f64 i (fma.f64 (*.f64 alpha alpha) alpha (*.f64 (*.f64 i i) i))) (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha))) |
(/.f64 (*.f64 (*.f64 (+.f64 alpha i) (-.f64 alpha i)) i) (-.f64 alpha i)) |
(/.f64 (*.f64 (fma.f64 (*.f64 alpha alpha) alpha (*.f64 (*.f64 i i) i)) i) (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha))) |
(fma.f64 alpha i (*.f64 i i)) |
(fma.f64 i alpha (*.f64 i i)) |
(fma.f64 i i (*.f64 alpha i)) |
(+.f64 (*.f64 alpha i) (*.f64 i i)) |
(+.f64 (*.f64 i i) (*.f64 alpha i)) |
(*.f64 (*.f64 (+.f64 alpha i) (-.f64 alpha i)) (/.f64 #s(literal 1 binary64) (-.f64 alpha i))) |
(*.f64 (fma.f64 (*.f64 alpha alpha) alpha (*.f64 (*.f64 i i) i)) (/.f64 #s(literal 1 binary64) (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)))) |
(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)) (fma.f64 (*.f64 alpha alpha) alpha (*.f64 (*.f64 i i) i))) #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 (fma.f64 (*.f64 alpha alpha) alpha (*.f64 (*.f64 i i) i))) (neg.f64 (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)))) |
(/.f64 (*.f64 (+.f64 alpha i) (-.f64 alpha i)) (-.f64 alpha i)) |
(/.f64 (fma.f64 (*.f64 alpha alpha) alpha (*.f64 (*.f64 i i) i)) (fma.f64 i i (-.f64 (*.f64 alpha alpha) (*.f64 alpha i)))) |
(/.f64 (fma.f64 (*.f64 alpha alpha) alpha (*.f64 (*.f64 i i) i)) (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)) (fma.f64 (*.f64 alpha alpha) alpha (*.f64 (*.f64 i i) i)))) |
(-.f64 (/.f64 (*.f64 i i) (-.f64 i alpha)) (/.f64 (*.f64 alpha alpha) (-.f64 i alpha))) |
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha i)) (/.f64 (*.f64 i i) (-.f64 alpha i))) |
(+.f64 alpha i) |
(+.f64 i alpha) |
(*.f64 (-.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))) |
(*.f64 (+.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))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (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(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 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (*.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(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (*.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(literal 1 binary64) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (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))))) |
(pow.f64 (/.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)) (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (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)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (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 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (*.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)) |
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(fma.f64 (*.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)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 beta alpha) (*.f64 (*.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)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 #s(literal 2 binary64) i))) |
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(fma.f64 (*.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)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) alpha (*.f64 (*.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)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (fma.f64 #s(literal 2 binary64) i beta))) |
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(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #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)))) |
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(fma.f64 (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(fma.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)) (+.f64 beta alpha)) (*.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 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) i))) |
(fma.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 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) 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)) (+.f64 beta alpha)))) |
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(fma.f64 (+.f64 beta alpha) (*.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)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 (*.f64 #s(literal 2 binary64) 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)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
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(fma.f64 (*.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 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) 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)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 (+.f64 beta alpha) (*.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)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
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(+.f64 (*.f64 (+.f64 beta alpha) (*.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)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (*.f64 (*.f64 #s(literal 2 binary64) 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)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) 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)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (*.f64 (+.f64 beta alpha) (*.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)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (*.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)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (*.f64 alpha (*.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)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(+.f64 (*.f64 alpha (*.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)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (*.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)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #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 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #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 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (+.f64 beta alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.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)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 beta alpha)) (*.f64 (*.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)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 #s(literal 2 binary64) i))) |
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(/.f64 (neg.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))) (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))))) |
(/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)))) |
(neg.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) i) (+.f64 (+.f64 beta alpha) i)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 (neg.f64 beta) alpha)))) (/.f64 (*.f64 (*.f64 (*.f64 beta alpha) beta) alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 (neg.f64 beta) alpha))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 beta alpha) beta) alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 beta alpha (*.f64 (neg.f64 i) (+.f64 (+.f64 beta alpha) i))))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) i) (+.f64 (+.f64 beta alpha) i)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 beta alpha (*.f64 (neg.f64 i) (+.f64 (+.f64 beta alpha) i)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) i) (+.f64 (+.f64 beta alpha) i)) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 (neg.f64 beta) alpha))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 beta alpha) beta) alpha) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 (neg.f64 beta) alpha))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 beta alpha) beta) alpha) (fma.f64 beta alpha (*.f64 (neg.f64 i) (+.f64 (+.f64 beta alpha) i)))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) i) (+.f64 (+.f64 beta alpha) i)) (fma.f64 beta alpha (*.f64 (neg.f64 i) (+.f64 (+.f64 beta alpha) i)))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)))) #s(literal -1 binary64))) |
Compiled 175 479 to 6 982 computations (96% saved)
26 alts after pruning (25 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 535 | 21 | 2 556 |
| Fresh | 9 | 4 | 13 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 548 | 26 | 2 574 |
| Status | Accuracy | Program |
|---|---|---|
| 8.9% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (*.f64 (*.f64 beta alpha) i) (+.f64 beta alpha))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))) | |
| 8.5% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (*.f64 (*.f64 beta alpha) i) (+.f64 beta alpha))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (*.f64 beta beta))) | |
| 16.8% | (/.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))) | |
| ▶ | 35.9% | (/.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))) |
| 9.9% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (/ (* (* beta alpha) i) (+ beta alpha)) (*.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))) | |
| 28.5% | (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) #s(approx (/ (* (+ (+ beta alpha) i) i) (* (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))))) (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) (*.f64 i i)))) | |
| 28.9% | (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) #s(approx (/ (* (+ (+ beta alpha) i) i) (* (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))))) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/16 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 beta alpha) #s(literal -1/16 binary64)) (+.f64 beta alpha)) #s(literal 2 binary64) (*.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64))))) (*.f64 i i)))) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) (*.f64 i i)))) | |
| 18.4% | (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) #s(approx (/ (* (+ (+ beta alpha) i) i) (* (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))))) (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))))) | |
| 27.3% | (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 (/.f64 #s(approx (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (*.f64 (+.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) i) alpha) beta)) (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)))) | |
| 36.8% | (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 #s(approx (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (/.f64 (*.f64 (+.f64 beta i) i) (fma.f64 #s(literal 2 binary64) i beta))) (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)))) | |
| 18.9% | (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 #s(approx (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+.f64 alpha i)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64)))) | |
| 12.5% | (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/.f64 (-.f64 (+.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) i) alpha) (*.f64 (+.f64 alpha i) (/.f64 (+.f64 (fma.f64 alpha #s(literal 2 binary64) (*.f64 i #s(literal 6 binary64))) alpha) beta))) (*.f64 beta beta)))) | |
| 71.5% | (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (+.f64 beta alpha) (*.f64 #s(literal -1/64 binary64) (*.f64 (+.f64 beta alpha) #s(literal 12 binary64)))) i)) i))) | |
| ▶ | 22.9% | (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta))))) |
| 29.6% | #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)) | |
| 13.8% | #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(approx (* (+ alpha i) i) (*.f64 i i)) (*.f64 beta beta))) | |
| 29.5% | #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 #s(literal 1 binary64) (/.f64 beta (*.f64 i (/.f64 (+.f64 alpha i) 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)) (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (*.f64 (+.f64 alpha i) i))))) |
| ▶ | 78.4% | #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 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) |
| 64.4% | #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 #s(literal 1/16 binary64) (/.f64 (-.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (*.f64 beta alpha))) 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 (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64))) i) #s(literal -1/256 binary64) (*.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)))) i))) | |
| 29.7% | #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 (+.f64 alpha i) beta) (/.f64 i beta))) | |
| 14.8% | #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 i (*.f64 beta beta)) (+.f64 alpha i))) | |
| 29.6% | #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 #s(literal 1 binary64) beta) (*.f64 i (/.f64 (+.f64 alpha i) beta)))) | |
| 15.4% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (*.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))))) | |
| ▶ | 10.0% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
| ✓ | 72.3% | #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)) #s(literal 1/16 binary64)) |
Compiled 1 555 to 710 computations (54.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 beta alpha) | |
| cost-diff | 0 | (+.f64 (+.f64 beta alpha) i) | |
| cost-diff | 0 | (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) 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)))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| cost-diff | 128 | (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) | |
| cost-diff | 128 | (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 beta (*.f64 (+.f64 alpha i) i)) | |
| cost-diff | 0 | (*.f64 beta (/.f64 beta (*.f64 (+.f64 alpha i) 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 binary64) (*.f64 beta (/.f64 beta (*.f64 (+.f64 alpha i) i))))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (*.f64 (+.f64 alpha i) i)))) | |
| cost-diff | 0 | (/.f64 i (*.f64 beta beta)) | |
| cost-diff | 0 | (*.f64 alpha (/.f64 i (*.f64 beta beta))) | |
| cost-diff | 0 | #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta)))) | |
| cost-diff | 0 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta 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 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) | |
| cost-diff | 320 | (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) | |
| cost-diff | 2688 | (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) |
| 8 458× | lower-fma.f32 |
| 8 450× | lower-fma.f64 |
| 4 028× | lower-*.f32 |
| 4 000× | lower-*.f64 |
| 3 972× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 728 |
| 0 | 113 | 722 |
| 1 | 273 | 718 |
| 2 | 818 | 658 |
| 3 | 3897 | 625 |
| 4 | 5703 | 587 |
| 5 | 7762 | 587 |
| 0 | 8274 | 584 |
| 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 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) |
(-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) |
(*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) |
#s(literal 2 binary64) |
(+.f64 beta alpha) |
beta |
alpha |
i |
#s(literal 1/16 binary64) |
(*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)) |
(/.f64 (+.f64 beta alpha) i) |
#s(literal 1/8 binary64) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta)))) |
(*.f64 alpha (/.f64 i (*.f64 beta beta))) |
alpha |
(/.f64 i (*.f64 beta beta)) |
i |
(*.f64 beta beta) |
beta |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (*.f64 (+.f64 alpha i) i))))) |
(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (*.f64 (+.f64 alpha i) i)))) |
#s(literal 1 binary64) |
(*.f64 beta (/.f64 beta (*.f64 (+.f64 alpha i) i))) |
beta |
(/.f64 beta (*.f64 (+.f64 alpha i) i)) |
(*.f64 (+.f64 alpha i) i) |
(+.f64 alpha i) |
alpha |
i |
(/.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))) |
#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 #s(literal 1/4 binary64) (*.f64 i i)) |
#s(literal 1/4 binary64) |
(*.f64 i i) |
i |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(+.f64 alpha beta) |
alpha |
beta |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta))))) |
(*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(+.f64 (+.f64 beta alpha) i) |
(+.f64 beta alpha) |
beta |
alpha |
i |
(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) |
#s(literal 2 binary64) |
#s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) |
(/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) |
(*.f64 (+.f64 beta i) i) |
(+.f64 beta i) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) |
(fma.f64 #s(literal 2 binary64) i beta) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
(-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) |
#s(literal 1/16 binary64) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) |
(fma.f64 (/.f64 #s(literal 1/8 binary64) i) (+.f64 beta alpha) #s(literal 1/16 binary64)) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) |
(/.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) |
(*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) |
(*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(+.f64 beta alpha) |
beta |
alpha |
i |
#s(literal 1/16 binary64) |
(*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)) |
(*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 beta alpha) i)) |
(/.f64 (+.f64 beta alpha) i) |
#s(literal 1/8 binary64) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 (/.f64 i (*.f64 beta beta)) alpha))) |
#s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta)))) |
#s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 (/.f64 i (*.f64 beta beta)) alpha)) |
(*.f64 alpha (/.f64 i (*.f64 beta beta))) |
(*.f64 (/.f64 i (*.f64 beta beta)) alpha) |
alpha |
(/.f64 i (*.f64 beta beta)) |
i |
(*.f64 beta beta) |
beta |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 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 alpha i) (/.f64 i (*.f64 beta beta)))) |
(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (*.f64 (+.f64 alpha i) i)))) |
(*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta))) |
#s(literal 1 binary64) |
(*.f64 beta (/.f64 beta (*.f64 (+.f64 alpha i) i))) |
(*.f64 (/.f64 beta (*.f64 (+.f64 alpha i) i)) beta) |
beta |
(/.f64 beta (*.f64 (+.f64 alpha i) i)) |
(*.f64 (+.f64 alpha i) i) |
(+.f64 alpha i) |
alpha |
i |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (*.f64 i i) #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 #s(literal 1/4 binary64) (*.f64 i i))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (*.f64 i i) #s(literal 1/4 binary64))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(*.f64 (*.f64 i i) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 i i) |
i |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #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) |
alpha |
beta |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
(*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta))))) |
(*.f64 #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 (+.f64 alpha i) beta))) |
(*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 (+.f64 alpha i) beta)) |
(+.f64 (+.f64 beta alpha) i) |
(+.f64 (+.f64 alpha i) beta) |
(+.f64 beta alpha) |
beta |
alpha |
i |
(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) |
#s(literal 2 binary64) |
#s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) |
(/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) |
(*.f64 (+.f64 beta i) i) |
(+.f64 beta i) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) |
(fma.f64 #s(literal 2 binary64) i beta) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.078125 | (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) | |
| accuracy | 1.0703220170933967 | #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) | |
| accuracy | 4.410078594685713 | (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta))))) | |
| accuracy | 47.53058022633105 | (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) | |
| accuracy | 0.00390625 | (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) | |
| accuracy | 0.025722509768442016 | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) | |
| accuracy | 12.318068663053733 | #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))) | |
| accuracy | 36.674896988539984 | (/.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))) | |
| accuracy | 0.16976340476030194 | (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (*.f64 (+.f64 alpha i) i)))) | |
| accuracy | 4.1486578541228045 | (*.f64 beta (/.f64 beta (*.f64 (+.f64 alpha i) i))) | |
| accuracy | 10.266411775633363 | (/.f64 beta (*.f64 (+.f64 alpha i) i)) | |
| accuracy | 44.90811212524207 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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 beta (*.f64 (+.f64 alpha i) i))))) | |
| accuracy | 7.930358085752128 | (*.f64 alpha (/.f64 i (*.f64 beta beta))) | |
| accuracy | 9.557226056701545 | (/.f64 i (*.f64 beta beta)) | |
| accuracy | 44.90811212524207 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) | |
| accuracy | 55.20331503804352 | #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta)))) | |
| accuracy | 0.01953125 | (/.f64 (+.f64 beta alpha) i) | |
| accuracy | 0.01953125 | (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) | |
| accuracy | 15.994273164792757 | (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) | |
| accuracy | 17.756806775293054 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) |
| 78.0ms | 187× | 0 | valid |
| 52.0ms | 69× | 1 | valid |
Compiled 641 to 60 computations (90.6% saved)
ival-mult: 36.0ms (37.7% of total)ival-add: 30.0ms (31.4% of total)ival-div: 19.0ms (19.9% of total)adjust: 7.0ms (7.3% of total)ival-sub: 3.0ms (3.1% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) (patch (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (patch (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #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 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 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)) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) (patch (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta 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)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta)))) (patch #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta)))) #<representation binary64>) () ()) |
#s(alt (*.f64 alpha (/.f64 i (*.f64 beta beta))) (patch (*.f64 alpha (/.f64 i (*.f64 beta beta))) #<representation binary64>) () ()) |
#s(alt (/.f64 i (*.f64 beta beta)) (patch (/.f64 i (*.f64 beta beta)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (*.f64 (+.f64 alpha i) i)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (*.f64 (+.f64 alpha i) i)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (*.f64 (+.f64 alpha i) 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 binary64) (*.f64 beta (/.f64 beta (*.f64 (+.f64 alpha i) i))))) #<representation binary64>) () ()) |
#s(alt (*.f64 beta (/.f64 beta (*.f64 (+.f64 alpha i) i))) (patch (*.f64 beta (/.f64 beta (*.f64 (+.f64 alpha i) i))) #<representation binary64>) () ()) |
#s(alt (/.f64 beta (*.f64 (+.f64 alpha i) i)) (patch (/.f64 beta (*.f64 (+.f64 alpha i) 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 #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))) (patch (/.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))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) (patch #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta))))) (patch (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (patch (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 beta alpha) i) (patch (+.f64 (+.f64 beta alpha) i) #<representation binary64>) () ()) |
#s(alt (+.f64 beta alpha) (patch (+.f64 beta alpha) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 beta alpha) i) (patch (/.f64 (+.f64 beta alpha) 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 (+.f64 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) (patch (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) (patch #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt 1/16 (taylor 0 beta) (#s(alt (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) (patch (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt 1/16 (taylor 0 beta) (#s(alt (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) (patch (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* 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)))) (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 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 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)) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)))) (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 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 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)) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ alpha i)) (taylor 0 beta) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) (patch (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ alpha i)) (* 2 (/ beta i))) (taylor 0 beta) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) (patch (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ alpha i)) (* 2 (/ beta i))) (taylor 0 beta) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) (patch (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ alpha i)) (* 2 (/ beta i))) (taylor 0 beta) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) (patch (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | i | @ | -inf | ((- (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (* (/ (+ beta alpha) i) 1/8)) (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* 2 (+ beta alpha)) i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (+ alpha i) i) (* beta beta)) (* alpha (/ i (* beta beta))) (/ i (* beta beta)) (/ 1 (* beta (/ beta (* (+ alpha i) i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* beta (/ beta (* (+ alpha i) i))) (/ beta (* (+ alpha i) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ (+ beta alpha) i) (+ beta alpha) (/ (+ beta alpha) i) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1))) |
| 12.0ms | beta | @ | 0 | ((- (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (* (/ (+ beta alpha) i) 1/8)) (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* 2 (+ beta alpha)) i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (+ alpha i) i) (* beta beta)) (* alpha (/ i (* beta beta))) (/ i (* beta beta)) (/ 1 (* beta (/ beta (* (+ alpha i) i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* beta (/ beta (* (+ alpha i) i))) (/ beta (* (+ alpha i) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ (+ beta alpha) i) (+ beta alpha) (/ (+ beta alpha) i) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1))) |
| 7.0ms | i | @ | 0 | ((- (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (* (/ (+ beta alpha) i) 1/8)) (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* 2 (+ beta alpha)) i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (+ alpha i) i) (* beta beta)) (* alpha (/ i (* beta beta))) (/ i (* beta beta)) (/ 1 (* beta (/ beta (* (+ alpha i) i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* beta (/ beta (* (+ alpha i) i))) (/ beta (* (+ alpha i) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ (+ beta alpha) i) (+ beta alpha) (/ (+ beta alpha) i) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1))) |
| 7.0ms | beta | @ | inf | ((- (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (* (/ (+ beta alpha) i) 1/8)) (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* 2 (+ beta alpha)) i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (+ alpha i) i) (* beta beta)) (* alpha (/ i (* beta beta))) (/ i (* beta beta)) (/ 1 (* beta (/ beta (* (+ alpha i) i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* beta (/ beta (* (+ alpha i) i))) (/ beta (* (+ alpha i) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ (+ beta alpha) i) (+ beta alpha) (/ (+ beta alpha) i) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1))) |
| 4.0ms | beta | @ | -inf | ((- (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (* (/ (+ beta alpha) i) 1/8)) (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* 2 (+ beta alpha)) i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (+ alpha i) i) (* beta beta)) (* alpha (/ i (* beta beta))) (/ i (* beta beta)) (/ 1 (* beta (/ beta (* (+ alpha i) i)))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* beta (/ beta (* (+ alpha i) i))) (/ beta (* (+ alpha i) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (+ (+ beta alpha) i) (+ beta alpha) (/ (+ beta alpha) i) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1))) |
| 1× | egg-herbie |
| 7 286× | lower-*.f64 |
| 7 286× | lower-*.f32 |
| 6 154× | lower-fma.f64 |
| 6 154× | lower-fma.f32 |
| 4 084× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2127 | 47237 |
| 1 | 7233 | 47191 |
| 0 | 8601 | 43165 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/16 |
1/16 |
1/16 |
1/16 |
(+ 1/16 (* 1/8 (/ alpha i))) |
(+ 1/16 (+ (* 1/8 (/ alpha i)) (* 1/8 (/ beta i)))) |
(+ 1/16 (+ (* 1/8 (/ alpha i)) (* 1/8 (/ beta i)))) |
(+ 1/16 (+ (* 1/8 (/ alpha i)) (* 1/8 (/ beta i)))) |
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
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(/ (* i (+ alpha i)) (+ alpha (* 2 i))) |
(+ (* beta (- (/ i (+ alpha (* 2 i))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (+ alpha i)) (+ alpha (* 2 i)))) |
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(+ alpha i) |
(+ alpha (+ beta i)) |
(+ alpha (+ beta i)) |
(+ alpha (+ beta i)) |
alpha |
(+ alpha beta) |
(+ alpha beta) |
(+ alpha beta) |
(/ alpha i) |
(+ (/ alpha i) (/ beta i)) |
(+ (/ alpha i) (/ beta i)) |
(+ (/ alpha i) (/ beta i)) |
(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)) |
(* 1/2 (/ i (- (* 4 (pow i 2)) 1))) |
(+ (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* beta (- (* 1/2 (/ 1 (- (* 4 (pow i 2)) 1))) (* 1/4 (/ (- (+ (* 4 (pow i 2)) (* 8 (pow i 2))) 1) (pow (- (* 4 (pow i 2)) 1) 2)))))) |
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(/ (* i (+ alpha i)) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) |
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1/16 |
1/16 |
1/16 |
1/16 |
(* 1/8 (/ beta i)) |
(* beta (+ (* 1/8 (/ alpha (* beta i))) (+ (* 1/16 (/ 1 beta)) (* 1/8 (/ 1 i))))) |
(* beta (+ (* 1/8 (/ alpha (* beta i))) (+ (* 1/16 (/ 1 beta)) (* 1/8 (/ 1 i))))) |
(* beta (+ (* 1/8 (/ alpha (* beta i))) (+ (* 1/16 (/ 1 beta)) (* 1/8 (/ 1 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)) |
(/ (- (+ (* 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)) |
(* 2 (/ beta i)) |
(* beta (+ (* 2 (/ alpha (* beta i))) (* 2 (/ 1 i)))) |
(* beta (+ (* 2 (/ alpha (* beta i))) (* 2 (/ 1 i)))) |
(* beta (+ (* 2 (/ alpha (* beta i))) (* 2 (/ 1 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)) |
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (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 (* i (+ alpha i))) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta))))) |
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2)))) |
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2)))) |
beta |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
(/ (- (+ (* 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))))) |
(/ (* 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 |
(- (+ i (/ (* i (+ alpha i)) beta)) (/ (* i (+ alpha (* 2 i))) beta)) |
(- (+ i (+ (* -1 (/ (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* i (+ alpha (* 2 i))))) (pow beta 2))) (/ (* i (+ alpha i)) beta))) (/ (* i (+ alpha (* 2 i))) beta)) |
(- (+ i (+ (/ (* i (+ alpha i)) beta) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ alpha i)) (* i (+ alpha (* 2 i))))) (pow beta 3)))) (+ (/ (* i (+ alpha (* 2 i))) beta) (/ (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* i (+ alpha (* 2 i))))) (pow beta 2)))) |
beta |
(* beta (+ 1 (+ (/ alpha beta) (/ i beta)))) |
(* beta (+ 1 (+ (/ alpha beta) (/ i beta)))) |
(* beta (+ 1 (+ (/ alpha beta) (/ i beta)))) |
beta |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (/ alpha beta))) |
(/ beta i) |
(* beta (+ (/ 1 i) (/ alpha (* beta i)))) |
(* beta (+ (/ 1 i) (/ alpha (* beta i)))) |
(* beta (+ (/ 1 i) (/ alpha (* beta 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 (pow beta 2)) |
(/ (- (+ i (/ (pow i 2) beta)) (/ (* i (+ (* 2 i) (* 4 i))) beta)) (pow beta 2)) |
(/ (- (+ i (+ (* -1 (/ (+ (* i (- (+ (* 4 (pow i 2)) (* 8 (pow i 2))) 1)) (* (+ (* 2 i) (* 4 i)) (- (pow i 2) (* i (+ (* 2 i) (* 4 i)))))) (pow beta 2))) (/ (pow i 2) beta))) (/ (* i (+ (* 2 i) (* 4 i))) beta)) (pow beta 2)) |
(/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* 2 i) (* 4 i)) (+ (* i (- (+ (* 4 (pow i 2)) (* 8 (pow i 2))) 1)) (* (+ (* 2 i) (* 4 i)) (- (pow i 2) (* i (+ (* 2 i) (* 4 i)))))))) (+ (* 2 (* (pow i 2) (- (* 4 (pow i 2)) 1))) (* (- (+ (* 4 (pow i 2)) (* 8 (pow i 2))) 1) (- (pow i 2) (* i (+ (* 2 i) (* 4 i))))))) (pow beta 3))) (/ (pow i 2) beta))) (+ (/ (* i (+ (* 2 i) (* 4 i))) beta) (+ (/ (* i (- (+ (* 4 (pow i 2)) (* 8 (pow i 2))) 1)) (pow beta 2)) (/ (* (+ (* 2 i) (* 4 i)) (- (pow i 2) (* i (+ (* 2 i) (* 4 i))))) (pow beta 2))))) (pow beta 2)) |
(/ (+ alpha i) (pow beta 2)) |
(/ (- (+ alpha (+ i (/ (* i (+ alpha i)) beta))) (/ (* (+ alpha i) (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) beta)) (pow beta 2)) |
(/ (- (+ alpha (+ i (+ (* -1 (/ (+ (* (+ alpha i) (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1)) (* (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) (- (* i (+ alpha i)) (* (+ alpha i) (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))))))) (pow beta 2))) (/ (* i (+ alpha i)) beta)))) (/ (* (+ alpha i) (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) beta)) (pow beta 2)) |
(/ (- (+ alpha (+ i (+ (* -1 (/ (+ (* -1 (* (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) (+ (* (+ alpha i) (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1)) (* (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) (- (* i (+ alpha i)) (* (+ alpha i) (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))))))))) (+ (* (+ alpha i) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* (- (* i (+ alpha i)) (* (+ alpha i) (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))))) (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1)))) (pow beta 3))) (/ (* i (+ alpha i)) beta)))) (+ (/ (* (+ alpha i) (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) beta) (+ (/ (* (+ alpha i) (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1)) (pow beta 2)) (/ (* (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) (- (* i (+ alpha i)) (* (+ alpha i) (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))))) (pow beta 2))))) (pow beta 2)) |
1/16 |
1/16 |
1/16 |
1/16 |
(* 1/8 (/ beta i)) |
(* -1 (* beta (- (* -1 (/ (+ 1/16 (* 1/8 (/ alpha i))) beta)) (* 1/8 (/ 1 i))))) |
(* -1 (* beta (- (* -1 (/ (+ 1/16 (* 1/8 (/ alpha i))) beta)) (* 1/8 (/ 1 i))))) |
(* -1 (* beta (- (* -1 (/ (+ 1/16 (* 1/8 (/ alpha i))) beta)) (* 1/8 (/ 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)) |
(* 2 (/ beta i)) |
(* -1 (* beta (- (* -2 (/ alpha (* beta i))) (* 2 (/ 1 i))))) |
(* -1 (* beta (- (* -2 (/ alpha (* beta i))) (* 2 (/ 1 i))))) |
(* -1 (* beta (- (* -2 (/ alpha (* beta i))) (* 2 (/ 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)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (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 (* i (+ alpha 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 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(* -1 (* i (+ (* -1 alpha) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
i |
(+ i (* -1 (/ (- (* -1 (* i (+ alpha i))) (* -1 (* i (+ alpha (* 2 i))))) beta))) |
(+ i (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (* i (+ alpha i))) (* -1 (* i (+ alpha (* 2 i)))))) beta))) (* -1 (* i (+ alpha (* 2 i))))) beta))) |
(+ i (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (* -1 (/ (- (* -1 (/ (* (pow (+ alpha (* 2 i)) 2) (- (* -1 (* i (+ alpha i))) (* -1 (* i (+ alpha (* 2 i)))))) beta)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (* i (+ alpha i))) (* -1 (* i (+ alpha (* 2 i)))))))) beta))) (* -1 (* i (+ alpha (* 2 i))))) beta))) |
beta |
(* -1 (* beta (- (* -1 (/ (+ alpha i) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ alpha i) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ alpha i) beta)) 1))) |
beta |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(/ beta i) |
(* -1 (* beta (- (* -1 (/ alpha (* beta i))) (/ 1 i)))) |
(* -1 (* beta (- (* -1 (/ alpha (* beta i))) (/ 1 i)))) |
(* -1 (* beta (- (* -1 (/ alpha (* beta i))) (/ 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) beta))) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta)))) |
(/ i (pow beta 2)) |
(/ (+ i (* -1 (/ (- (* -1 (pow i 2)) (* -1 (* i (+ (* 2 i) (* 4 i))))) beta))) (pow beta 2)) |
(/ (+ i (* -1 (/ (- (+ (* -1 (/ (* i (+ (* -8 (pow i 2)) (* -1 (- (* 4 (pow i 2)) 1)))) beta)) (+ (* -1 (/ (* (+ (* 2 i) (* 4 i)) (- (* -1 (pow i 2)) (* -1 (* i (+ (* 2 i) (* 4 i)))))) beta)) (* -1 (pow i 2)))) (* -1 (* i (+ (* 2 i) (* 4 i))))) beta))) (pow beta 2)) |
(/ (+ i (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (pow i 2) (- (* 4 (pow i 2)) 1)) beta)) (+ (* -1 (/ (* (+ (* -8 (pow i 2)) (* -1 (- (* 4 (pow i 2)) 1))) (- (* -1 (pow i 2)) (* -1 (* i (+ (* 2 i) (* 4 i)))))) beta)) (/ (* (+ (* -1 (* i (+ (* -8 (pow i 2)) (* -1 (- (* 4 (pow i 2)) 1))))) (* -1 (* (+ (* 2 i) (* 4 i)) (- (* -1 (pow i 2)) (* -1 (* i (+ (* 2 i) (* 4 i)))))))) (+ (* 2 i) (* 4 i))) beta))) (+ (* -1 (* i (+ (* -8 (pow i 2)) (* -1 (- (* 4 (pow i 2)) 1))))) (* -1 (* (+ (* 2 i) (* 4 i)) (- (* -1 (pow i 2)) (* -1 (* i (+ (* 2 i) (* 4 i))))))))) beta)) (* -1 (pow i 2))) (* -1 (* i (+ (* 2 i) (* 4 i))))) beta))) (pow beta 2)) |
(* -1 (/ (+ (* -1 alpha) (* -1 i)) (pow beta 2))) |
(/ (+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (* -1 (* i (+ alpha i))) (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))) beta))) (pow beta 2)) |
(/ (+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (+ (* -1 (/ (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (- (* -1 (* i (+ alpha i))) (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i))))) beta)) (/ (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (* -1 alpha) (* -1 i))) beta))) (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))) beta))) (pow beta 2)) |
(/ (+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (- (* -1 (* i (+ alpha i))) (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i))))) beta)) (+ (/ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) beta) (/ (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (- (* -1 (* i (+ alpha i))) (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))))) (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (* -1 alpha) (* -1 i))))) beta))) (+ (* -1 (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (- (* -1 (* i (+ alpha i))) (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))))) (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (* -1 alpha) (* -1 i))))) beta))) (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))) beta))) (pow beta 2)) |
1/16 |
1/16 |
1/16 |
1/16 |
(+ 1/16 (* 1/8 (/ beta i))) |
(+ 1/16 (+ (* 1/8 (/ alpha i)) (* 1/8 (/ beta i)))) |
(+ 1/16 (+ (* 1/8 (/ alpha i)) (* 1/8 (/ beta i)))) |
(+ 1/16 (+ (* 1/8 (/ alpha i)) (* 1/8 (/ beta i)))) |
(/ (* (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)))) |
(* 2 (/ beta i)) |
(+ (* 2 (/ alpha i)) (* 2 (/ beta i))) |
(+ (* 2 (/ alpha i)) (* 2 (/ beta i))) |
(+ (* 2 (/ alpha i)) (* 2 (/ beta i))) |
(/ (* (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 2)) |
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2))) |
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2))) |
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2))) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (pow i 2) (pow beta 2)) |
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2))) |
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2))) |
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2))) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
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(+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (/ (* i (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (/ (* (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1) (- (+ (/ beta (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (/ i (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (+ (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (/ (* (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) (- (+ (/ beta (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (/ i (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))))))) (+ (/ (* i (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (/ (* (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1) (- (+ (/ beta (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (/ i (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))))) (+ (/ beta (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (/ i (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))))) (/ (* i (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* i (+ beta i)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) |
1/16 |
1/16 |
1/16 |
1/16 |
(* 1/8 (/ alpha i)) |
(* alpha (+ (* 1/8 (/ beta (* alpha i))) (+ (* 1/16 (/ 1 alpha)) (* 1/8 (/ 1 i))))) |
(* alpha (+ (* 1/8 (/ beta (* alpha i))) (+ (* 1/16 (/ 1 alpha)) (* 1/8 (/ 1 i))))) |
(* alpha (+ (* 1/8 (/ beta (* alpha i))) (+ (* 1/16 (/ 1 alpha)) (* 1/8 (/ 1 i))))) |
(/ (* 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)) |
(* 2 (/ alpha i)) |
(* alpha (+ (* 2 (/ beta (* alpha i))) (* 2 (/ 1 i)))) |
(* alpha (+ (* 2 (/ beta (* alpha i))) (* 2 (/ 1 i)))) |
(* alpha (+ (* 2 (/ beta (* alpha i))) (* 2 (/ 1 i)))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (* alpha i) (pow beta 2)) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (pow beta 2) (* alpha i)) |
(/ (+ (* -1 (/ (pow beta 2) alpha)) (/ (pow beta 2) i)) alpha) |
(/ (- (+ (/ (* (pow beta 2) i) (pow alpha 2)) (/ (pow beta 2) i)) (/ (pow beta 2) alpha)) alpha) |
(/ (- (+ (* -1 (/ (* (pow beta 2) (pow i 2)) (pow alpha 3))) (/ (pow beta 2) i)) (+ (* -1 (/ (* (pow beta 2) i) (pow alpha 2))) (/ (pow beta 2) alpha))) alpha) |
(/ beta (* alpha i)) |
(/ (+ (* -1 (/ beta alpha)) (/ beta i)) alpha) |
(/ (- (+ (/ beta i) (/ (* beta i) (pow alpha 2))) (/ beta alpha)) alpha) |
(/ (- (+ (* -1 (/ (* beta (pow i 2)) (pow alpha 3))) (/ beta i)) (+ (* -1 (/ (* beta i) (pow alpha 2))) (/ beta alpha))) alpha) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha))))) |
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2)))) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(* i (+ beta i)) |
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha)) |
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(/ (* 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 |
(- (+ i (/ (* i (+ beta i)) alpha)) (/ (* i (+ beta (* 2 i))) alpha)) |
(- (+ i (+ (* -1 (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ beta (* 2 i))))) (pow alpha 2))) (/ (* i (+ beta i)) alpha))) (/ (* i (+ beta (* 2 i))) alpha)) |
(- (+ i (+ (/ (* i (+ beta i)) alpha) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ beta i)) (* i (+ beta (* 2 i))))) (pow alpha 3)))) (+ (/ (* i (+ beta (* 2 i))) alpha) (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ beta (* 2 i))))) (pow alpha 2)))) |
alpha |
(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha)))) |
(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha)))) |
(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha)))) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (/ beta alpha))) |
(/ alpha i) |
(* alpha (+ (/ 1 i) (/ beta (* alpha i)))) |
(* alpha (+ (/ 1 i) (/ beta (* alpha i)))) |
(* alpha (+ (/ 1 i) (/ beta (* alpha 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)))))) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2)))))) |
(/ (+ beta i) (pow alpha 2)) |
(/ (- (+ beta (+ i (/ (* i (+ beta i)) alpha))) (/ (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) alpha)) (pow alpha 2)) |
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)) (* (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) (- (* i (+ beta i)) (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))))) (pow alpha 2))) (/ (* i (+ beta i)) alpha)))) (/ (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) alpha)) (pow alpha 2)) |
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* -1 (* (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) (+ (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)) (* (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) (- (* i (+ beta i)) (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))))))) (+ (* (+ beta i) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* (- (* i (+ beta i)) (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)))) (pow alpha 3))) (/ (* i (+ beta i)) alpha)))) (+ (/ (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) alpha) (+ (/ (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)) (pow alpha 2)) (/ (* (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) (- (* i (+ beta i)) (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))))) (pow alpha 2))))) (pow alpha 2)) |
1/16 |
1/16 |
1/16 |
1/16 |
(* 1/8 (/ alpha i)) |
(* -1 (* alpha (- (* -1 (/ (+ 1/16 (* 1/8 (/ beta i))) alpha)) (* 1/8 (/ 1 i))))) |
(* -1 (* alpha (- (* -1 (/ (+ 1/16 (* 1/8 (/ beta i))) alpha)) (* 1/8 (/ 1 i))))) |
(* -1 (* alpha (- (* -1 (/ (+ 1/16 (* 1/8 (/ beta i))) alpha)) (* 1/8 (/ 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)) |
(* 2 (/ alpha i)) |
(* -1 (* alpha (- (* -2 (/ beta (* alpha i))) (* 2 (/ 1 i))))) |
(* -1 (* alpha (- (* -2 (/ beta (* alpha i))) (* 2 (/ 1 i))))) |
(* -1 (* alpha (- (* -2 (/ beta (* alpha i))) (* 2 (/ 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 i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 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))))))) |
(* -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 beta 2) (* alpha i)) |
(* -1 (/ (+ (* -1 (/ (pow beta 2) i)) (/ (pow beta 2) alpha)) alpha)) |
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow beta 2) i) alpha) (pow beta 2)) alpha)) (* -1 (/ (pow beta 2) i))) alpha)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow beta 2) (pow i 2)) alpha) (* (pow beta 2) i)) alpha)) (pow beta 2)) alpha)) (* -1 (/ (pow beta 2) i))) alpha)) |
(/ beta (* alpha i)) |
(* -1 (/ (+ (* -1 (/ beta i)) (/ beta alpha)) alpha)) |
(* -1 (/ (+ (* -1 (/ beta i)) (* -1 (/ (- (/ (* beta i) alpha) beta) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ beta i)) (* -1 (/ (- (* -1 (/ (- (/ (* beta (pow i 2)) alpha) (* beta i)) alpha)) beta) alpha))) alpha)) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha)))) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(* -1 (* i (+ (* -1 beta) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
i |
(+ i (* -1 (/ (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i))))) alpha))) |
(+ i (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i)))))) alpha))) (* -1 (* i (+ beta (* 2 i))))) alpha))) |
(+ i (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (- (* -1 (/ (* (pow (+ beta (* 2 i)) 2) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i)))))) alpha)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i)))))))) alpha))) (* -1 (* i (+ beta (* 2 i))))) alpha))) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1))) |
alpha |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(/ alpha i) |
(* -1 (* alpha (- (* -1 (/ beta (* alpha i))) (/ 1 i)))) |
(* -1 (* alpha (- (* -1 (/ beta (* alpha i))) (/ 1 i)))) |
(* -1 (* alpha (- (* -1 (/ beta (* alpha i))) (/ 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) alpha))) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha)))) |
(* -1 (/ (+ (* -1 beta) (* -1 i)) (pow alpha 2))) |
(/ (+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (* -1 (* i (+ beta i))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i)))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (+ (* -1 (/ (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (- (* -1 (* i (+ beta i))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i))))) alpha)) (/ (* (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (- (pow (+ beta (* 2 i)) 2) 1))) (+ (* -1 beta) (* -1 i))) alpha))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i)))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (- (pow (+ beta (* 2 i)) 2) 1))) (- (* -1 (* i (+ beta i))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i))))) alpha)) (+ (/ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (pow (+ beta (* 2 i)) 2) 1))) alpha) (/ (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (- (* -1 (* i (+ beta i))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i)))))) (* (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (- (pow (+ beta (* 2 i)) 2) 1))) (+ (* -1 beta) (* -1 i))))) alpha))) (+ (* -1 (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (- (* -1 (* i (+ beta i))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i)))))) (* (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (- (pow (+ beta (* 2 i)) 2) 1))) (+ (* -1 beta) (* -1 i))))) alpha))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i)))) alpha))) (pow alpha 2)) |
1/16 |
1/16 |
1/16 |
1/16 |
(* 1/8 (/ (+ alpha beta) i)) |
(/ (+ (* 1/16 i) (* 1/8 (+ alpha beta))) i) |
(/ (+ (* 1/16 i) (* 1/8 (+ alpha beta))) i) |
(/ (+ (* 1/16 i) (* 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))))) |
(* 2 (/ (+ alpha beta) i)) |
(* 2 (/ (+ alpha beta) i)) |
(* 2 (/ (+ alpha beta) i)) |
(* 2 (/ (+ 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))))) |
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(/ (* alpha i) (pow beta 2)) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
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(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
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(/ (pow beta 2) (* alpha i)) |
(/ (+ (* -1 (/ (* (pow beta 2) i) (pow alpha 2))) (/ (pow beta 2) alpha)) i) |
(/ (+ (* i (- (/ (* (pow beta 2) i) (pow alpha 3)) (/ (pow beta 2) (pow alpha 2)))) (/ (pow beta 2) alpha)) i) |
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(/ beta (* alpha i)) |
(/ (+ (* -1 (/ (* beta i) (pow alpha 2))) (/ beta alpha)) i) |
(/ (+ (* i (- (/ (* beta i) (pow alpha 3)) (/ beta (pow alpha 2)))) (/ beta alpha)) i) |
(/ (+ (* i (- (* i (- (* -1 (/ (* beta i) (pow alpha 4))) (* -1 (/ beta (pow alpha 3))))) (/ beta (pow alpha 2)))) (/ beta alpha)) i) |
(- (pow (+ alpha beta) 2) 1) |
(- (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) 1) |
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1) |
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1) |
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(/ (* alpha (* beta i)) (* (+ 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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i |
(* i (+ 1 (* -1 (/ i (+ alpha beta))))) |
(* i (+ 1 (* i (- (* 2 (/ i (pow (+ alpha beta) 2))) (/ 1 (+ alpha beta)))))) |
(* i (+ 1 (* i (- (* i (+ (* -4 (/ i (pow (+ alpha beta) 3))) (* 2 (/ 1 (pow (+ alpha beta) 2))))) (/ 1 (+ alpha beta)))))) |
(+ alpha beta) |
(+ alpha (+ beta i)) |
(+ alpha (+ beta i)) |
(+ alpha (+ beta i)) |
(/ (+ alpha beta) i) |
(/ (+ alpha beta) i) |
(/ (+ alpha beta) i) |
(/ (+ alpha beta) 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)) |
(/ i (- (pow beta 2) 1)) |
(* i (+ (* -1 (* i (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (/ 1 (* beta (- (pow beta 2) 1)))))) (/ 1 (- (pow beta 2) 1)))) |
(* i (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (/ 1 (* beta (- (pow beta 2) 1))))) (* beta (- (pow beta 2) 1)))) (* 12 (/ 1 (pow (- (pow beta 2) 1) 2)))))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (/ 1 (* beta (- (pow beta 2) 1)))))) (/ 1 (- (pow beta 2) 1)))) |
(* i (+ (* i (- (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (/ 1 (* beta (- (pow beta 2) 1))))) (* beta (- (pow beta 2) 1)))) (* 12 (/ 1 (pow (- (pow beta 2) 1) 2)))) (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2)))) (* beta (- (pow beta 2) 1)))) (+ (* -1 (/ (* (+ (* 4 beta) (* 8 beta)) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (/ 1 (* beta (- (pow beta 2) 1))))) (* beta (- (pow beta 2) 1)))) (* 8 (/ 1 (* beta (pow (- (pow beta 2) 1) 2)))))))) (+ (* -1 (/ (* (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (/ 1 (* beta (- (pow beta 2) 1))))) (* beta (- (pow beta 2) 1)))) (* 12 (/ 1 (pow (- (pow beta 2) 1) 2)))))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (/ 1 (* beta (- (pow beta 2) 1)))))) (/ 1 (- (pow beta 2) 1)))) |
(/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(+ (* i (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) |
(+ (* i (- (+ (* i (- (/ 1 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (+ (/ (* alpha (* beta (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))) (/ 1 (- (pow (+ alpha beta) 2) 1))) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) |
(+ (* i (- (+ (* i (- (+ (* -1 (* i (+ (* 8 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (/ 1 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (+ (/ (* alpha (* beta (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))))) (/ 1 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) (+ (/ (* alpha (* beta (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))) (/ 1 (- (pow (+ alpha beta) 2) 1))) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) |
1/16 |
1/16 |
1/16 |
1/16 |
1/16 |
(+ 1/16 (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* 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))))))))) |
(* 2 (/ (+ alpha beta) i)) |
(* 2 (/ (+ alpha beta) i)) |
(* 2 (/ (+ alpha beta) i)) |
(* 2 (/ (+ 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)))) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ (pow i 2) (pow beta 2)) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2)))))) |
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3))))))))) |
(/ (pow beta 2) (pow i 2)) |
(/ (+ (* -1 (/ (* alpha (pow beta 2)) i)) (pow beta 2)) (pow i 2)) |
(/ (- (+ (/ (* (pow alpha 2) (pow beta 2)) (pow i 2)) (pow beta 2)) (/ (* alpha (pow beta 2)) i)) (pow i 2)) |
(/ (- (+ (* -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))) (pow i 2)) |
(/ beta (pow i 2)) |
(/ (+ beta (* -1 (/ (* alpha beta) i))) (pow i 2)) |
(/ (- (+ beta (/ (* (pow alpha 2) beta) (pow i 2))) (/ (* alpha beta) i)) (pow i 2)) |
(/ (- (+ beta (* -1 (/ (* (pow alpha 3) beta) (pow i 3)))) (+ (* -1 (/ (* (pow alpha 2) beta) (pow i 2))) (/ (* alpha beta) i))) (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)))) (/ 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))))))))) |
(* 1/2 i) |
(* i (- (+ 1/2 (* 1/2 (/ (+ alpha beta) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* i (- (+ 1/2 (+ (* -1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2))) (* 1/2 (/ (+ alpha beta) i)))) (* 1/4 (/ (+ alpha beta) i)))) |
(* i (- (+ 1/2 (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 3))) (* 1/2 (/ (+ alpha beta) i)))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
i |
(* i (+ 1 (+ (/ alpha i) (/ beta i)))) |
(* i (+ 1 (+ (/ alpha i) (/ beta i)))) |
(* i (+ 1 (+ (/ alpha i) (/ beta i)))) |
(/ (+ alpha beta) i) |
(/ (+ alpha beta) i) |
(/ (+ alpha beta) i) |
(/ (+ alpha beta) i) |
(* 4 (pow i 2)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2))))) |
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2))))) |
(/ 1/8 i) |
(/ (- (+ 1/8 (* 1/8 (/ beta i))) (* 1/64 (/ (+ (* 4 beta) (* 8 beta)) i))) i) |
(/ (- (+ 1/8 (+ (* -1 (/ (+ (* 1/64 (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2)))) (* 1/8 (* (+ (* 4 beta) (* 8 beta)) (- (* 1/8 beta) (* 1/64 (+ (* 4 beta) (* 8 beta))))))) (pow i 2))) (* 1/8 (/ beta i)))) (* 1/64 (/ (+ (* 4 beta) (* 8 beta)) i))) i) |
(/ (- (+ 1/8 (+ (* -1 (/ (+ (* -1/8 (* (+ (* 1/64 (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2)))) (* 1/8 (* (+ (* 4 beta) (* 8 beta)) (- (* 1/8 beta) (* 1/64 (+ (* 4 beta) (* 8 beta))))))) (+ (* 4 beta) (* 8 beta)))) (+ (* 1/64 (* beta (- (pow beta 2) 1))) (* 1/8 (* (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2))) (- (* 1/8 beta) (* 1/64 (+ (* 4 beta) (* 8 beta)))))))) (pow i 3))) (* 1/8 (/ beta i)))) (+ (* 1/64 (/ (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 beta) (* 8 beta)) i)) (* 1/8 (/ (* (+ (* 4 beta) (* 8 beta)) (- (* 1/8 beta) (* 1/64 (+ (* 4 beta) (* 8 beta))))) (pow i 2)))))) i) |
(/ 1/8 i) |
(/ (- (+ 1/8 (* 1/8 (/ (+ alpha beta) i))) (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i))) i) |
(/ (- (+ 1/8 (+ (* 1/8 (/ (* alpha beta) (pow i 2))) (* 1/8 (/ (+ alpha beta) i)))) (+ (* 1/64 (/ (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 2)))))) i) |
(/ (- (+ 1/8 (+ (* -1 (/ (+ (* 1/64 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (+ (* 1/8 (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))) (* 1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (* alpha beta)) (+ (* 1/64 (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2)))) (* 1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))))))))) (pow i 3))) (+ (* 1/8 (/ (* alpha beta) (pow i 2))) (* 1/8 (/ (+ alpha beta) i))))) (+ (* 1/64 (/ (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 2)))))) i) |
1/16 |
1/16 |
1/16 |
1/16 |
1/16 |
(+ 1/16 (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* 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))) |
(* 2 (/ (+ alpha beta) i)) |
(* 2 (/ (+ alpha beta) i)) |
(* 2 (/ (+ alpha beta) i)) |
(* 2 (/ (+ 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)))) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ (* alpha i) (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ i (pow beta 2)) |
(/ (pow i 2) (pow beta 2)) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(/ (pow beta 2) (pow i 2)) |
(/ (+ (* -1 (/ (* alpha (pow beta 2)) i)) (pow beta 2)) (pow i 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (* (pow alpha 2) (pow beta 2)) i)) (* alpha (pow beta 2))) i)) (pow beta 2)) (pow i 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow alpha 3) (pow beta 2)) i)) (* (pow alpha 2) (pow beta 2))) i)) (* alpha (pow beta 2))) i)) (pow beta 2)) (pow i 2)) |
(/ beta (pow i 2)) |
(/ (+ beta (* -1 (/ (* alpha beta) i))) (pow i 2)) |
(/ (+ beta (* -1 (/ (+ (* -1 (/ (* (pow alpha 2) beta) i)) (* alpha beta)) i))) (pow i 2)) |
(/ (+ beta (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow alpha 3) beta) i)) (* (pow alpha 2) beta)) i)) (* alpha beta)) i))) (pow i 2)) |
(* 4 (pow i 2)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i)))) |
(* 2 i) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i)))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(* 1/2 i) |
(* -1 (* i (- (* -1/2 (/ (+ alpha beta) i)) (+ 1/2 (* -1/4 (/ (+ alpha beta) i)))))) |
(* -1 (* i (- (* -1 (/ (+ (* -1 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* 1/2 (/ (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) i))) i)) 1/2))) |
(* -1 (* i (- (* -1 (/ (+ (* -1 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* -1 (/ (+ (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) i))) i))) i)) 1/2))) |
i |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 1))) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 1))) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 1))) |
(/ (+ alpha beta) i) |
(/ (+ alpha beta) i) |
(/ (+ alpha beta) i) |
(/ (+ alpha beta) i) |
(* 4 (pow i 2)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 4 (* -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)))) |
(/ 1/8 i) |
(* -1 (/ (- (* -1/8 (/ beta i)) (+ 1/8 (* -1/64 (/ (+ (* 4 beta) (* 8 beta)) i)))) i)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (- (* -1/8 beta) (* -1/64 (+ (* 4 beta) (* 8 beta))))) (* -1 (/ (+ (* -1/8 (* (+ (* 4 beta) (* 8 beta)) (- (* -1/8 beta) (* -1/64 (+ (* 4 beta) (* 8 beta)))))) (* -1/64 (+ (* -4 (pow beta 2)) (* -2 (- (pow beta 2) 1))))) i))) i)) 1/8) i)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (- (* -1/8 beta) (* -1/64 (+ (* 4 beta) (* 8 beta))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (+ (* -4 (pow beta 2)) (* -2 (- (pow beta 2) 1))) (- (* -1/8 beta) (* -1/64 (+ (* 4 beta) (* 8 beta)))))) (+ (* -1/64 (* beta (- (pow beta 2) 1))) (* 1/8 (* (+ (* -1/8 (* (+ (* 4 beta) (* 8 beta)) (- (* -1/8 beta) (* -1/64 (+ (* 4 beta) (* 8 beta)))))) (* -1/64 (+ (* -4 (pow beta 2)) (* -2 (- (pow beta 2) 1))))) (+ (* 4 beta) (* 8 beta)))))) i)) (+ (* -1/8 (* (+ (* 4 beta) (* 8 beta)) (- (* -1/8 beta) (* -1/64 (+ (* 4 beta) (* 8 beta)))))) (* -1/64 (+ (* -4 (pow beta 2)) (* -2 (- (pow beta 2) 1)))))) i))) i)) 1/8) i)) |
(/ 1/8 i) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) i)) 1/8) i)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/8 (* alpha beta)) (+ (* -1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))) (* 1/64 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1)))))) i)) (* 1/8 (+ alpha beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) i)) 1/8) i)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (* alpha beta)) (+ (* -1/8 (/ (* (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) i)) (+ (* -1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* -1/8 (* alpha beta)) (+ (* -1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))) (* 1/64 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1))))))) i)) (* 1/64 (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)) i))))) (+ (* -1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))) (* 1/64 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1)))))) i)) (* 1/8 (+ alpha beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) i)) 1/8) i)) |
| Outputs |
|---|
1/16 |
#s(literal 1/16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/8 (/ alpha i))) |
(fma.f64 (/.f64 alpha i) #s(literal 1/8 binary64) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (* 1/8 (/ alpha i)) (* 1/8 (/ beta i)))) |
(fma.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 beta i) (/.f64 alpha i)) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (* 1/8 (/ alpha i)) (* 1/8 (/ beta i)))) |
(fma.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 beta i) (/.f64 alpha i)) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (* 1/8 (/ alpha i)) (* 1/8 (/ beta i)))) |
(fma.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 beta i) (/.f64 alpha i)) #s(literal 1/16 binary64)) |
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
(*.f64 (*.f64 i i) (/.f64 (*.f64 (+.f64 i alpha) (+.f64 i alpha)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))))) |
(+ (* 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) (+.f64 i alpha) (*.f64 (+.f64 i alpha) i)) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (*.f64 (+.f64 i alpha) (+.f64 i alpha))) (*.f64 i i)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))))) beta (*.f64 (*.f64 i i) (/.f64 (*.f64 (+.f64 i alpha) (+.f64 i alpha)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))))) |
(+ (* 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 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 i alpha) (+.f64 i alpha) (*.f64 (+.f64 i alpha) i)) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (*.f64 (+.f64 i alpha) (+.f64 i alpha))) (*.f64 i i)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))))) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 i alpha) (+.f64 i alpha))) (*.f64 i i)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64)))))) beta (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 i alpha) (+.f64 i alpha) (*.f64 (+.f64 i alpha) i)) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (*.f64 (+.f64 i alpha) (+.f64 i alpha))) (*.f64 i i)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64)))))) beta (*.f64 (*.f64 i i) (/.f64 (*.f64 (+.f64 i alpha) (+.f64 i alpha)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))))) |
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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))) |
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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 i alpha) (+.f64 i alpha))) (*.f64 i i)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64)))))) (-.f64 (/.f64 (*.f64 (+.f64 i alpha) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 i alpha) (+.f64 i alpha) (*.f64 (+.f64 i alpha) i)) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (*.f64 (+.f64 i alpha) (+.f64 i alpha))) (*.f64 i i)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 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#s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64)))))) beta (*.f64 (*.f64 i i) (/.f64 (*.f64 (+.f64 i alpha) (+.f64 i alpha)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))))) |
(/ (* i (+ alpha i)) (+ alpha (* 2 i))) |
(/.f64 (*.f64 (+.f64 i alpha) i) (fma.f64 #s(literal 2 binary64) i alpha)) |
(+ (* beta (- (/ i (+ alpha (* 2 i))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (+ alpha i)) (+ alpha (* 2 i)))) |
(fma.f64 (-.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (/.f64 (*.f64 (+.f64 i alpha) i) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) beta (/.f64 (*.f64 (+.f64 i alpha) i) (fma.f64 #s(literal 2 binary64) i alpha))) |
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 3)) (/ i (pow (+ alpha (* 2 i)) 2)))) (/ i (+ alpha (* 2 i)))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (+ alpha i)) (+ alpha (* 2 i)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (+.f64 i alpha) i) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)) (fma.f64 #s(literal 2 binary64) i alpha))) (/.f64 i (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) beta (-.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (/.f64 (*.f64 (+.f64 i alpha) i) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))))) beta (/.f64 (*.f64 (+.f64 i alpha) i) (fma.f64 #s(literal 2 binary64) i alpha))) |
(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ i (pow (+ alpha (* 2 i)) 3)) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 4)))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 3))) (/ i (pow (+ alpha (* 2 i)) 2)))) (/ i (+ alpha (* 2 i)))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (+ alpha i)) (+ alpha (* 2 i)))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 i (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)) (fma.f64 #s(literal 2 binary64) i alpha))) (/.f64 (*.f64 (+.f64 i alpha) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64)))) beta (-.f64 (/.f64 (*.f64 (+.f64 i alpha) i) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)) (fma.f64 #s(literal 2 binary64) i alpha))) (/.f64 i (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))))) beta (-.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i alpha)) (/.f64 (*.f64 (+.f64 i alpha) i) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))))) beta (/.f64 (*.f64 (+.f64 i alpha) i) (fma.f64 #s(literal 2 binary64) i alpha))) |
(+ alpha i) |
(+.f64 i alpha) |
(+ alpha (+ beta i)) |
(+.f64 (+.f64 beta i) alpha) |
(+ alpha (+ beta i)) |
(+.f64 (+.f64 beta i) alpha) |
(+ alpha (+ beta i)) |
(+.f64 (+.f64 beta i) alpha) |
alpha |
(+ alpha beta) |
(+.f64 beta alpha) |
(+ alpha beta) |
(+.f64 beta alpha) |
(+ alpha beta) |
(+.f64 beta alpha) |
(/ alpha i) |
(/.f64 alpha i) |
(+ (/ alpha i) (/ beta i)) |
(+.f64 (/.f64 beta i) (/.f64 alpha i)) |
(+ (/ alpha i) (/ beta i)) |
(+.f64 (/.f64 beta i) (/.f64 alpha i)) |
(+ (/ alpha i) (/ beta i)) |
(+.f64 (/.f64 beta i) (/.f64 alpha i)) |
(pow (+ alpha (* 2 i)) 2) |
(*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)) |
(+ (* beta (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) |
(fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) beta (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))) |
(+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) |
(fma.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) beta) beta (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))) |
(+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) |
(fma.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) beta) beta (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))) |
(* 1/2 (/ i (- (* 4 (pow i 2)) 1))) |
(*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #s(literal 1/2 binary64)) |
(+ (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* beta (- (* 1/2 (/ 1 (- (* 4 (pow i 2)) 1))) (* 1/4 (/ (- (+ (* 4 (pow i 2)) (* 8 (pow i 2))) 1) (pow (- (* 4 (pow i 2)) 1) 2)))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 i i) #s(literal 12 binary64) #s(literal -1 binary64))) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))) beta (*.f64 (/.f64 i (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* beta (- (+ (* -1 (* beta (+ (* 1/4 (/ (+ (* 2 i) (* 4 i)) (pow (- (* 4 (pow i 2)) 1) 2))) (* 1/2 (/ (* (- (* 1/2 (/ 1 (- (* 4 (pow i 2)) 1))) (* 1/4 (/ (- (+ (* 4 (pow i 2)) (* 8 (pow i 2))) 1) (pow (- (* 4 (pow i 2)) 1) 2)))) (- (+ (* 4 (pow i 2)) (* 8 (pow i 2))) 1)) (* i (- (* 4 (pow i 2)) 1))))))) (* 1/2 (/ 1 (- (* 4 (pow i 2)) 1)))) (* 1/4 (/ (- (+ (* 4 (pow i 2)) (* 8 (pow i 2))) 1) (pow (- (* 4 (pow i 2)) 1) 2)))))) |
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(+ (* 1/2 (/ i (- (* 4 (pow i 2)) 1))) (* beta (- (+ (* 1/2 (/ 1 (- (* 4 (pow i 2)) 1))) (* beta (- (* -1 (* beta (+ (* -1/2 (/ (* (+ (* 1/4 (/ (+ (* 2 i) (* 4 i)) (pow (- (* 4 (pow i 2)) 1) 2))) (* 1/2 (/ (* (- (* 1/2 (/ 1 (- (* 4 (pow i 2)) 1))) (* 1/4 (/ (- (+ (* 4 (pow i 2)) (* 8 (pow i 2))) 1) (pow (- (* 4 (pow i 2)) 1) 2)))) (- (+ (* 4 (pow i 2)) (* 8 (pow i 2))) 1)) (* i (- (* 4 (pow i 2)) 1))))) (- (+ (* 4 (pow i 2)) (* 8 (pow i 2))) 1)) (* i (- (* 4 (pow i 2)) 1)))) (+ (* 1/4 (/ 1 (pow (- (* 4 (pow i 2)) 1) 2))) (* 1/2 (/ (* (+ (* 2 i) (* 4 i)) (- (* 1/2 (/ 1 (- (* 4 (pow i 2)) 1))) (* 1/4 (/ (- (+ (* 4 (pow i 2)) (* 8 (pow i 2))) 1) (pow (- (* 4 (pow i 2)) 1) 2))))) (* i (- (* 4 (pow i 2)) 1)))))))) (+ (* 1/4 (/ (+ (* 2 i) (* 4 i)) (pow (- (* 4 (pow i 2)) 1) 2))) (* 1/2 (/ (* (- (* 1/2 (/ 1 (- (* 4 (pow i 2)) 1))) (* 1/4 (/ (- (+ (* 4 (pow i 2)) (* 8 (pow i 2))) 1) (pow (- (* 4 (pow i 2)) 1) 2)))) (- (+ (* 4 (pow i 2)) (* 8 (pow i 2))) 1)) (* i (- (* 4 (pow i 2)) 1)))))))) (* 1/4 (/ (- (+ (* 4 (pow i 2)) (* 8 (pow i 2))) 1) (pow (- (* 4 (pow i 2)) 1) 2)))))) |
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(/ (* i (+ alpha i)) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) |
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i |
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beta |
(* beta (+ 1 (+ (/ alpha beta) (/ i beta)))) |
(*.f64 (+.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) (/.f64 i beta)) beta) |
(* beta (+ 1 (+ (/ alpha beta) (/ i beta)))) |
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(*.f64 (+.f64 (+.f64 (/.f64 alpha beta) #s(literal 1 binary64)) (/.f64 i beta)) beta) |
beta |
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1/16 |
#s(literal 1/16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
(* 1/8 (/ beta i)) |
(*.f64 (/.f64 beta i) #s(literal 1/8 binary64)) |
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i |
(+ i (* -1 (/ (- (* -1 (* i (+ alpha i))) (* -1 (* i (+ alpha (* 2 i))))) beta))) |
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beta |
(* -1 (* beta (- (* -1 (/ (+ alpha i) beta)) 1))) |
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(* -1 (* beta (- (* -1 (/ (+ alpha i) beta)) 1))) |
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beta |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
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(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
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(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
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(/ beta i) |
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(pow beta 2) |
(*.f64 beta beta) |
(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta)))) |
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(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta)))) |
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(* -1 (/ (+ (* -1 alpha) (* -1 i)) (pow beta 2))) |
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1/16 |
#s(literal 1/16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/8 (/ beta i))) |
(fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (* 1/8 (/ alpha i)) (* 1/8 (/ beta i)))) |
(fma.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 beta i) (/.f64 alpha i)) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (* 1/8 (/ alpha i)) (* 1/8 (/ beta i)))) |
(fma.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 beta i) (/.f64 alpha i)) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (* 1/8 (/ alpha i)) (* 1/8 (/ beta i)))) |
(fma.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 beta i) (/.f64 alpha i)) #s(literal 1/16 binary64)) |
(/ (* (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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(* 2 (/ beta i)) |
(*.f64 #s(literal 2 binary64) (/.f64 beta i)) |
(+ (* 2 (/ alpha i)) (* 2 (/ beta i))) |
(*.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta i) (/.f64 alpha i))) |
(+ (* 2 (/ alpha i)) (* 2 (/ beta i))) |
(*.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta i) (/.f64 alpha i))) |
(+ (* 2 (/ alpha i)) (* 2 (/ beta i))) |
(*.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta i) (/.f64 alpha i))) |
(/ (* (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 (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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(/ (pow i 2) (pow beta 2)) |
(/.f64 (*.f64 i i) (*.f64 beta beta)) |
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(/ (pow i 2) (pow beta 2)) |
(/.f64 (*.f64 i i) (*.f64 beta beta)) |
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(/ (pow beta 2) (pow i 2)) |
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(- (pow (+ beta (* 2 i)) 2) 1) |
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(- (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) 1) |
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(+ (* alpha (- (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 4 beta) (* 8 i)))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))))) (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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(/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)) |
(/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 i i)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) |
(+ (* 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) (+.f64 beta i) (*.f64 (+.f64 beta i) i)) i) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 beta i) (+.f64 beta i))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) alpha (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 i i)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) |
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
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(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
(*.f64 (*.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))) |
(+ (* 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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(/.f64 (*.f64 (+.f64 beta i) i) (fma.f64 #s(literal 2 binary64) i beta)) |
(+ (* alpha (- (/ i (+ beta (* 2 i))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i)))) |
(fma.f64 (-.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) alpha (/.f64 (*.f64 (+.f64 beta i) i) (fma.f64 #s(literal 2 binary64) i beta))) |
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(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ i (pow (+ beta (* 2 i)) 3)) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 4)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 3))) (/ i (pow (+ beta (* 2 i)) 2)))) (/ i (+ beta (* 2 i)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i)))) |
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(+ alpha (+ beta i)) |
(+.f64 (+.f64 beta i) alpha) |
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(+.f64 (+.f64 beta i) alpha) |
beta |
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(/.f64 beta i) |
(+ (/ alpha i) (/ beta i)) |
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(+.f64 (/.f64 beta i) (/.f64 alpha i)) |
(+ (/ alpha i) (/ beta i)) |
(+.f64 (/.f64 beta i) (/.f64 alpha i)) |
(pow (+ beta (* 2 i)) 2) |
(*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) |
(+ (* alpha (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) |
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(+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) |
(fma.f64 (+.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) alpha) alpha (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) |
(+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) |
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(+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (/ (* i (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (/ (* (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1) (- (+ (/ beta (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (/ i (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (+ (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (/ (* (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) (- (+ (/ beta (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (/ i (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))))))) (+ (/ (* i (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (/ (* (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1) (- (+ (/ beta (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (/ i (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))))) (+ (/ beta (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (/ i (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))))) (/ (* i (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* i (+ beta i)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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1/16 |
#s(literal 1/16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
(* 1/8 (/ alpha i)) |
(*.f64 (/.f64 alpha i) #s(literal 1/8 binary64)) |
(* alpha (+ (* 1/8 (/ beta (* alpha i))) (+ (* 1/16 (/ 1 alpha)) (* 1/8 (/ 1 i))))) |
(*.f64 (fma.f64 (/.f64 beta (*.f64 i alpha)) #s(literal 1/8 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) alpha) (/.f64 #s(literal 1/8 binary64) i))) alpha) |
(* alpha (+ (* 1/8 (/ beta (* alpha i))) (+ (* 1/16 (/ 1 alpha)) (* 1/8 (/ 1 i))))) |
(*.f64 (fma.f64 (/.f64 beta (*.f64 i alpha)) #s(literal 1/8 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) alpha) (/.f64 #s(literal 1/8 binary64) i))) alpha) |
(* alpha (+ (* 1/8 (/ beta (* alpha i))) (+ (* 1/16 (/ 1 alpha)) (* 1/8 (/ 1 i))))) |
(*.f64 (fma.f64 (/.f64 beta (*.f64 i alpha)) #s(literal 1/8 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) alpha) (/.f64 #s(literal 1/8 binary64) i))) 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) (+.f64 beta i) (*.f64 (+.f64 beta i) i)) i) alpha)) (/.f64 (*.f64 (*.f64 (+.f64 beta i) i) (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) beta))) alpha)) (*.f64 alpha alpha)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
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alpha |
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(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha)))) |
(*.f64 (+.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) (/.f64 i alpha)) alpha) |
alpha |
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(pow alpha 2) |
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1/16 |
#s(literal 1/16 binary64) |
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1/16 |
#s(literal 1/16 binary64) |
1/16 |
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(* 1/8 (/ alpha i)) |
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
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alpha |
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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 (neg.f64 i) (+.f64 (neg.f64 beta) (neg.f64 i))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
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(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
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(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
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(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/.f64 (*.f64 (neg.f64 i) (+.f64 (neg.f64 beta) (neg.f64 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 (fma.f64 (neg.f64 i) (+.f64 (neg.f64 beta) (neg.f64 i)) (neg.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 (neg.f64 beta) (neg.f64 i)) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) i) (+.f64 (neg.f64 beta) (neg.f64 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 (fma.f64 (neg.f64 i) (+.f64 (neg.f64 beta) (neg.f64 i)) (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 i i)) (fma.f64 (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 (+.f64 (neg.f64 beta) (neg.f64 i)) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) i) (+.f64 (neg.f64 beta) (neg.f64 i))))) (*.f64 (neg.f64 i) (*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 6 binary64) #s(literal -1 binary64)) (+.f64 (neg.f64 beta) (neg.f64 i)))))) alpha)) (fma.f64 (fma.f64 (+.f64 (neg.f64 beta) (neg.f64 i)) (+.f64 beta i) (*.f64 (neg.f64 i) (+.f64 beta i))) i (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) i) (+.f64 (neg.f64 beta) (neg.f64 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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i |
(+ i (* -1 (/ (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i))))) alpha))) |
(+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 i (-.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) i beta)))) alpha)) i) |
(+ i (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i)))))) alpha))) (* -1 (* i (+ beta (* 2 i))))) alpha))) |
(+.f64 (neg.f64 (/.f64 (fma.f64 (neg.f64 i) (+.f64 beta i) (-.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 i (-.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) i beta)))) alpha))) (*.f64 (neg.f64 i) (fma.f64 #s(literal 2 binary64) i beta)))) alpha)) i) |
(+ i (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (- (* -1 (/ (* (pow (+ beta (* 2 i)) 2) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i)))))) alpha)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i)))))))) alpha))) (* -1 (* i (+ beta (* 2 i))))) alpha))) |
(+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 i) (+.f64 beta i) (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 i (-.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) i beta)))) alpha))) (neg.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 i (-.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) i beta)))) (fma.f64 #s(literal 2 binary64) i beta)))) alpha))) (*.f64 (neg.f64 i) (fma.f64 #s(literal 2 binary64) i beta))) alpha)) i) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1))) |
(*.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 (+.f64 beta i) alpha)) #s(literal 1 binary64))) |
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1))) |
(*.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 (+.f64 beta i) alpha)) #s(literal 1 binary64))) |
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1))) |
(*.f64 (neg.f64 alpha) (-.f64 (neg.f64 (/.f64 (+.f64 beta i) alpha)) #s(literal 1 binary64))) |
alpha |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 beta) alpha) #s(literal 1 binary64))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 beta) alpha) #s(literal 1 binary64))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 beta) alpha) #s(literal 1 binary64))) |
(/ alpha i) |
(/.f64 alpha i) |
(* -1 (* alpha (- (* -1 (/ beta (* alpha i))) (/ 1 i)))) |
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 beta) (*.f64 i alpha)) (/.f64 #s(literal 1 binary64) i))) |
(* -1 (* alpha (- (* -1 (/ beta (* alpha i))) (/ 1 i)))) |
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 beta) (*.f64 i alpha)) (/.f64 #s(literal 1 binary64) i))) |
(* -1 (* alpha (- (* -1 (/ beta (* alpha i))) (/ 1 i)))) |
(*.f64 (neg.f64 alpha) (-.f64 (/.f64 (neg.f64 beta) (*.f64 i alpha)) (/.f64 #s(literal 1 binary64) i))) |
(pow alpha 2) |
(*.f64 alpha alpha) |
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha)))) |
(*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) alpha))) alpha)) #s(literal 1 binary64)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha)))) |
(*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta) (neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) alpha))) alpha)) #s(literal 1 binary64)) (*.f64 alpha alpha)) |
(* -1 (/ (+ (* -1 beta) (* -1 i)) (pow alpha 2))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 beta) (neg.f64 i))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (* -1 (* i (+ beta i))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i)))) alpha))) (pow alpha 2)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (/.f64 (-.f64 (*.f64 (neg.f64 i) (+.f64 beta i)) (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) (+.f64 (neg.f64 beta) (neg.f64 i)))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (+ (* -1 (/ (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (- (* -1 (* i (+ beta i))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i))))) alpha)) (/ (* (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (- (pow (+ beta (* 2 i)) 2) 1))) (+ (* -1 beta) (* -1 i))) alpha))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i)))) alpha))) (pow alpha 2)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (/.f64 (-.f64 (fma.f64 (neg.f64 i) (+.f64 beta i) (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) #s(literal -2 binary64) (neg.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)))) (neg.f64 (/.f64 (+.f64 beta i) alpha)) (/.f64 (neg.f64 (*.f64 (-.f64 (*.f64 (neg.f64 i) (+.f64 beta i)) (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) (+.f64 (neg.f64 beta) (neg.f64 i)))) (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta))) alpha))) (*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) (+.f64 (neg.f64 beta) (neg.f64 i)))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (- (pow (+ beta (* 2 i)) 2) 1))) (- (* -1 (* i (+ beta i))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i))))) alpha)) (+ (/ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (pow (+ beta (* 2 i)) 2) 1))) alpha) (/ (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (- (* -1 (* i (+ beta i))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i)))))) (* (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (- (pow (+ beta (* 2 i)) 2) 1))) (+ (* -1 beta) (* -1 i))))) alpha))) (+ (* -1 (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (- (* -1 (* i (+ beta i))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i)))))) (* (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (- (pow (+ beta (* 2 i)) 2) 1))) (+ (* -1 beta) (* -1 i))))) alpha))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i)))) alpha))) (pow alpha 2)) |
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1/16 |
#s(literal 1/16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
(* 1/8 (/ (+ alpha beta) i)) |
(*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)) |
(/ (+ (* 1/16 i) (* 1/8 (+ alpha beta))) i) |
(/.f64 (fma.f64 (+.f64 beta alpha) #s(literal 1/8 binary64) (*.f64 i #s(literal 1/16 binary64))) i) |
(/ (+ (* 1/16 i) (* 1/8 (+ alpha beta))) i) |
(/.f64 (fma.f64 (+.f64 beta alpha) #s(literal 1/8 binary64) (*.f64 i #s(literal 1/16 binary64))) i) |
(/ (+ (* 1/16 i) (* 1/8 (+ alpha beta))) i) |
(/.f64 (fma.f64 (+.f64 beta alpha) #s(literal 1/8 binary64) (*.f64 i #s(literal 1/16 binary64))) i) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(/.f64 (*.f64 (*.f64 beta alpha) i) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #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))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 beta (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))))) (fma.f64 alpha (/.f64 (*.f64 (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64))) beta) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) (/.f64 (*.f64 (-.f64 (fma.f64 alpha (/.f64 beta (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) beta) alpha) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))))) (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))))) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))))) i (-.f64 (fma.f64 alpha (/.f64 beta (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) beta) alpha) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))))) i (/.f64 (*.f64 beta alpha) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.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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(* 2 (/ (+ alpha beta) i)) |
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(* 2 (/ (+ alpha beta) i)) |
(*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 2 binary64)) |
(* 2 (/ (+ alpha beta) i)) |
(*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 2 binary64)) |
(* 2 (/ (+ alpha beta) i)) |
(*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 2 binary64)) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(/.f64 (*.f64 (*.f64 beta alpha) i) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #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))))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 beta (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))))) (fma.f64 alpha (/.f64 (*.f64 (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64))) beta) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) (/.f64 (*.f64 (-.f64 (fma.f64 alpha (/.f64 beta (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) beta) alpha) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))))) (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))))) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))))) i (-.f64 (fma.f64 alpha (/.f64 beta (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) beta) alpha) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))))) i (/.f64 (*.f64 beta alpha) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.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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(/ (* alpha i) (pow beta 2)) |
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(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(*.f64 (+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 i (*.f64 beta beta))) i) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(*.f64 (+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 i (*.f64 beta beta))) i) |
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(/ (* alpha i) (pow beta 2)) |
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(/ (* alpha i) (pow beta 2)) |
(*.f64 alpha (/.f64 i (*.f64 beta beta))) |
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(/.f64 i (*.f64 beta beta)) |
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(/.f64 i (*.f64 beta beta)) |
(/ i (pow beta 2)) |
(/.f64 i (*.f64 beta beta)) |
(/ (* alpha i) (pow beta 2)) |
(*.f64 alpha (/.f64 i (*.f64 beta beta))) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(*.f64 (+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 i (*.f64 beta beta))) i) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(*.f64 (+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 i (*.f64 beta beta))) i) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(*.f64 (+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 i (*.f64 beta beta))) i) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(/.f64 (*.f64 (*.f64 beta alpha) i) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #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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(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(+.f64 beta alpha)) (+.f64 beta alpha)))) beta) alpha) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))))) (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))))) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))))) i (-.f64 (fma.f64 alpha (/.f64 beta (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) beta) alpha) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))))) i (/.f64 (*.f64 beta alpha) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.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 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) 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 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (/.f64 beta (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))))) (*.f64 #s(literal 4 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (+.f64 beta alpha))))) i (/.f64 (*.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) 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 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (/.f64 beta (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (/.f64 beta (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))))) (*.f64 #s(literal 4 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (+.f64 beta alpha))))) (+.f64 beta alpha))))) i)) (*.f64 #s(literal 4 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (+.f64 beta alpha))))) i (/.f64 (*.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) 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 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #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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i |
(* i (+ 1 (* -1 (/ i (+ alpha beta))))) |
(*.f64 (+.f64 (/.f64 (neg.f64 i) (+.f64 beta alpha)) #s(literal 1 binary64)) i) |
(* i (+ 1 (* i (- (* 2 (/ i (pow (+ alpha beta) 2))) (/ 1 (+ alpha beta)))))) |
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(pow (+ alpha beta) 2) |
(*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) |
(+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) |
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(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) |
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(/ i (- (pow beta 2) 1)) |
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(* i (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (/ 1 (* beta (- (pow beta 2) 1))))) (* beta (- (pow beta 2) 1)))) (* 12 (/ 1 (pow (- (pow beta 2) 1) 2)))))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (/ 1 (* beta (- (pow beta 2) 1)))))) (/ 1 (- (pow beta 2) 1)))) |
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(* i (+ (* i (- (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (/ 1 (* beta (- (pow beta 2) 1))))) (* beta (- (pow beta 2) 1)))) (* 12 (/ 1 (pow (- (pow beta 2) 1) 2)))) (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2)))) (* beta (- (pow beta 2) 1)))) (+ (* -1 (/ (* (+ (* 4 beta) (* 8 beta)) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (/ 1 (* beta (- (pow beta 2) 1))))) (* beta (- (pow beta 2) 1)))) (* 8 (/ 1 (* beta (pow (- (pow beta 2) 1) 2)))))))) (+ (* -1 (/ (* (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (/ 1 (* beta (- (pow beta 2) 1))))) (* beta (- (pow beta 2) 1)))) (* 12 (/ 1 (pow (- (pow beta 2) 1) 2)))))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (/ 1 (* beta (- (pow beta 2) 1)))))) (/ 1 (- (pow beta 2) 1)))) |
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(+ (* i (- (+ (* i (- (+ (* -1 (* i (+ (* 8 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (/ 1 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (+ (/ (* alpha (* beta (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))))) (/ 1 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) (+ (/ (* alpha (* beta (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))) (/ 1 (- (pow (+ alpha beta) 2) 1))) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) |
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1/16 |
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1/16 |
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1/16 |
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1/16 |
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1/16 |
#s(literal 1/16 binary64) |
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(* 2 (/ (+ alpha beta) i)) |
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(* 2 (/ (+ alpha beta) i)) |
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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))) |
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(- (+ 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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(* 1/2 i) |
(*.f64 #s(literal 1/2 binary64) i) |
(* i (- (+ 1/2 (* 1/2 (/ (+ alpha beta) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/4 binary64))) i) |
(* i (- (+ 1/2 (+ (* -1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2))) (* 1/2 (/ (+ alpha beta) i)))) (* 1/4 (/ (+ alpha beta) i)))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (+.f64 beta alpha)) (+.f64 beta alpha)) (*.f64 i i)) #s(literal -1/2 binary64) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/2 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/4 binary64)))) i) |
(* i (- (+ 1/2 (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 3))) (* 1/2 (/ (+ alpha beta) i)))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
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i |
(* i (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha i)) (/.f64 beta i)) i) |
(* i (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha i)) (/.f64 beta i)) i) |
(* i (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha i)) (/.f64 beta i)) i) |
(/ (+ alpha beta) i) |
(/.f64 (+.f64 beta alpha) i) |
(/ (+ alpha beta) i) |
(/.f64 (+.f64 beta alpha) i) |
(/ (+ alpha beta) i) |
(/.f64 (+.f64 beta alpha) i) |
(/ (+ alpha beta) i) |
(/.f64 (+.f64 beta alpha) 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 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.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 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 i i))) (*.f64 i i)) |
(/ 1/8 i) |
(/.f64 #s(literal 1/8 binary64) i) |
(/ (- (+ 1/8 (* 1/8 (/ beta i))) (* 1/64 (/ (+ (* 4 beta) (* 8 beta)) i))) i) |
(/.f64 (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) i) |
(/ (- (+ 1/8 (+ (* -1 (/ (+ (* 1/64 (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2)))) (* 1/8 (* (+ (* 4 beta) (* 8 beta)) (- (* 1/8 beta) (* 1/64 (+ (* 4 beta) (* 8 beta))))))) (pow i 2))) (* 1/8 (/ beta i)))) (* 1/64 (/ (+ (* 4 beta) (* 8 beta)) i))) i) |
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(/ (- (+ 1/8 (+ (* -1 (/ (+ (* -1/8 (* (+ (* 1/64 (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2)))) (* 1/8 (* (+ (* 4 beta) (* 8 beta)) (- (* 1/8 beta) (* 1/64 (+ (* 4 beta) (* 8 beta))))))) (+ (* 4 beta) (* 8 beta)))) (+ (* 1/64 (* beta (- (pow beta 2) 1))) (* 1/8 (* (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2))) (- (* 1/8 beta) (* 1/64 (+ (* 4 beta) (* 8 beta)))))))) (pow i 3))) (* 1/8 (/ beta i)))) (+ (* 1/64 (/ (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 beta) (* 8 beta)) i)) (* 1/8 (/ (* (+ (* 4 beta) (* 8 beta)) (- (* 1/8 beta) (* 1/64 (+ (* 4 beta) (* 8 beta))))) (pow i 2)))))) i) |
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(/ 1/8 i) |
(/.f64 #s(literal 1/8 binary64) i) |
(/ (- (+ 1/8 (* 1/8 (/ (+ alpha beta) i))) (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i))) i) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 (+.f64 beta alpha) #s(literal 1/8 binary64) (*.f64 #s(literal -1/64 binary64) (*.f64 (+.f64 beta alpha) #s(literal 12 binary64)))) i)) i) |
(/ (- (+ 1/8 (+ (* 1/8 (/ (* alpha beta) (pow i 2))) (* 1/8 (/ (+ alpha beta) i)))) (+ (* 1/64 (/ (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 2)))))) i) |
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(/ (- (+ 1/8 (+ (* -1 (/ (+ (* 1/64 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (+ (* 1/8 (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))) (* 1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (* alpha beta)) (+ (* 1/64 (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2)))) (* 1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))))))))) (pow i 3))) (+ (* 1/8 (/ (* alpha beta) (pow i 2))) (* 1/8 (/ (+ alpha beta) i))))) (+ (* 1/64 (/ (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 2)))))) i) |
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1/16 |
#s(literal 1/16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
(+ 1/16 (* 1/8 (/ (+ alpha beta) i))) |
(fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64) #s(literal 1/16 binary64)) |
(+ 1/16 (* 1/8 (/ (+ alpha beta) i))) |
(fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64) #s(literal 1/16 binary64)) |
(+ 1/16 (* 1/8 (/ (+ alpha beta) i))) |
(fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64) #s(literal 1/16 binary64)) |
1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
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(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
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(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i)))) |
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(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i)))) |
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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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(* 1/2 i) |
(*.f64 #s(literal 1/2 binary64) i) |
(* -1 (* i (- (* -1/2 (/ (+ alpha beta) i)) (+ 1/2 (* -1/4 (/ (+ alpha beta) i)))))) |
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(* -1 (* i (- (* -1 (/ (+ (* -1 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* 1/2 (/ (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) i))) i)) 1/2))) |
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(* -1 (* i (- (* -1 (/ (+ (* -1 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* -1 (/ (+ (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) i))) i))) i)) 1/2))) |
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i |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 1))) |
(*.f64 (neg.f64 i) (-.f64 (neg.f64 (/.f64 (+.f64 beta alpha) i)) #s(literal 1 binary64))) |
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(/ (+ alpha beta) i) |
(/.f64 (+.f64 beta alpha) i) |
(/ (+ alpha beta) i) |
(/.f64 (+.f64 beta alpha) i) |
(/ (+ alpha beta) i) |
(/.f64 (+.f64 beta alpha) i) |
(/ (+ alpha beta) i) |
(/.f64 (+.f64 beta alpha) 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)) |
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(/ 1/8 i) |
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(* -1 (/ (- (* -1 (/ (+ (* -1 (- (* -1/8 beta) (* -1/64 (+ (* 4 beta) (* 8 beta))))) (* -1 (/ (+ (* -1/8 (* (+ (* 4 beta) (* 8 beta)) (- (* -1/8 beta) (* -1/64 (+ (* 4 beta) (* 8 beta)))))) (* -1/64 (+ (* -4 (pow beta 2)) (* -2 (- (pow beta 2) 1))))) i))) i)) 1/8) i)) |
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(* -1 (/ (- (* -1 (/ (+ (* -1 (- (* -1/8 beta) (* -1/64 (+ (* 4 beta) (* 8 beta))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (+ (* -4 (pow beta 2)) (* -2 (- (pow beta 2) 1))) (- (* -1/8 beta) (* -1/64 (+ (* 4 beta) (* 8 beta)))))) (+ (* -1/64 (* beta (- (pow beta 2) 1))) (* 1/8 (* (+ (* -1/8 (* (+ (* 4 beta) (* 8 beta)) (- (* -1/8 beta) (* -1/64 (+ (* 4 beta) (* 8 beta)))))) (* -1/64 (+ (* -4 (pow beta 2)) (* -2 (- (pow beta 2) 1))))) (+ (* 4 beta) (* 8 beta)))))) i)) (+ (* -1/8 (* (+ (* 4 beta) (* 8 beta)) (- (* -1/8 beta) (* -1/64 (+ (* 4 beta) (* 8 beta)))))) (* -1/64 (+ (* -4 (pow beta 2)) (* -2 (- (pow beta 2) 1)))))) i))) i)) 1/8) i)) |
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(/ 1/8 i) |
(/.f64 #s(literal 1/8 binary64) i) |
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(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (+.f64 beta alpha) #s(literal 1/8 binary64) (*.f64 #s(literal -1/64 binary64) (*.f64 (+.f64 beta alpha) #s(literal 12 binary64)))) i)) #s(literal 1/8 binary64)) i)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/8 (* alpha beta)) (+ (* -1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))) (* 1/64 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1)))))) i)) (* 1/8 (+ alpha beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) i)) 1/8) i)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 1/8 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 beta alpha)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 beta alpha) #s(literal 12 binary64))) (fma.f64 (+.f64 beta alpha) #s(literal 1/8 binary64) (*.f64 #s(literal -1/64 binary64) (*.f64 (+.f64 beta alpha) #s(literal 12 binary64)))) (*.f64 (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) #s(literal 1/64 binary64)))) i))) (*.f64 #s(literal 1/64 binary64) (*.f64 (+.f64 beta alpha) #s(literal 12 binary64)))) i)) #s(literal 1/8 binary64)) i)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (* alpha beta)) (+ (* -1/8 (/ (* (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) i)) (+ (* -1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* -1/8 (* alpha beta)) (+ (* -1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))) (* 1/64 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1))))))) i)) (* 1/64 (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)) i))))) (+ (* -1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))) (* 1/64 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1)))))) i)) (* 1/8 (+ alpha beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) i)) 1/8) i)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 1/8 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) alpha) beta (-.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (/.f64 (fma.f64 (+.f64 beta alpha) #s(literal 1/8 binary64) (*.f64 #s(literal -1/64 binary64) (*.f64 (+.f64 beta alpha) #s(literal 12 binary64)))) i)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 beta alpha)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 beta alpha) #s(literal 12 binary64))) (fma.f64 (+.f64 beta alpha) #s(literal 1/8 binary64) (*.f64 #s(literal -1/64 binary64) (*.f64 (+.f64 beta alpha) #s(literal 12 binary64)))) (*.f64 (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) #s(literal 1/64 binary64)))) (*.f64 (+.f64 beta alpha) #s(literal 12 binary64))) i) #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) i)) #s(literal 1/64 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 beta alpha) #s(literal 12 binary64))) (fma.f64 (+.f64 beta alpha) #s(literal 1/8 binary64) (*.f64 #s(literal -1/64 binary64) (*.f64 (+.f64 beta alpha) #s(literal 12 binary64)))) (*.f64 (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) #s(literal 1/64 binary64))))) i))) (*.f64 #s(literal 1/64 binary64) (*.f64 (+.f64 beta alpha) #s(literal 12 binary64)))) i)) #s(literal 1/8 binary64)) i)) |
| 4 754× | lower-/.f32 |
| 4 738× | lower-/.f64 |
| 4 038× | lower-*.f32 |
| 4 010× | lower-*.f64 |
| 3 486× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 613 |
| 0 | 113 | 515 |
| 1 | 537 | 512 |
| 2 | 4732 | 496 |
| 0 | 8836 | 485 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) |
(fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #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 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) |
(/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta)))) |
(*.f64 alpha (/.f64 i (*.f64 beta beta))) |
(/.f64 i (*.f64 beta beta)) |
(/.f64 #s(literal 1 binary64) (*.f64 beta (/.f64 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 #s(literal 1 binary64) (*.f64 beta (/.f64 beta (*.f64 (+.f64 alpha i) i))))) |
(*.f64 beta (/.f64 beta (*.f64 (+.f64 alpha i) i))) |
(/.f64 beta (*.f64 (+.f64 alpha i) i)) |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) |
(*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta))))) |
(*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(+.f64 (+.f64 beta alpha) i) |
(+.f64 beta alpha) |
(/.f64 (+.f64 beta alpha) 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 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) |
#s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 0 binary64) (/.f64 i (+.f64 alpha beta))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64))))) |
(*.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64)) (*.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta)) (*.f64 (*.f64 i i) i)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64)))))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 0 binary64) (/.f64 i (+.f64 alpha beta)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64)))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64)) (*.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta)) (*.f64 (*.f64 i i) i))))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 1/8 binary64) (+.f64 alpha beta))) (*.f64 i i)) (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))) (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))))) (-.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i)) (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))))) |
(/.f64 (fma.f64 #s(literal 1/512 binary64) (/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta)) (*.f64 (*.f64 i i) i)) (*.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))) (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i)))) (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))))) (fma.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 (+.f64 alpha beta) i)) (-.f64 (*.f64 (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))) (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i)))) (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i)) (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 0 binary64) (/.f64 i (+.f64 alpha beta)))))) (neg.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64)) (*.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta)) (*.f64 (*.f64 i i) i))))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64)))))) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 (+.f64 alpha beta) i)) #s(literal -1/256 binary64)) i) (*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal -1/16 binary64)) (*.f64 #s(literal 1/8 binary64) (+.f64 alpha beta)))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal -1/16 binary64)) i)) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/512 binary64) (/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta)) (*.f64 (*.f64 i i) i)) #s(literal 1/4096 binary64)) i) (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 (+.f64 alpha beta) i)) (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i)) #s(literal 1/16 binary64)))) (*.f64 #s(literal 1/8 binary64) (+.f64 alpha beta)))) (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 (/.f64 (+.f64 alpha beta) i) (/.f64 (+.f64 alpha beta) i)) (-.f64 #s(literal 1/256 binary64) (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i)) #s(literal 1/16 binary64)))) i)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 0 binary64) (/.f64 i (+.f64 alpha beta))))) (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 alpha beta) i)))) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 0 binary64) (/.f64 i (+.f64 alpha beta))))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64)))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64)) (*.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta)) (*.f64 (*.f64 i i) i)))) (fma.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64)) (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 1/8 binary64) (+.f64 alpha beta))) (*.f64 i i)) (*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64)) (*.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 alpha beta) i)))))) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64)) (*.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta)) (*.f64 (*.f64 i i) i)))) (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64))) (+.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 0 binary64) (/.f64 i (+.f64 alpha beta))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64))) (*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64)))) (fma.f64 (*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(literal 1/16 binary64)) (*.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta)) (*.f64 (*.f64 i i) i)))))) |
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(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))) |
(-.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 (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 (*.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 (*.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 (*.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 (*.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 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) #s(literal 2 binary64))) |
(+.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 alpha (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)))) |
(+.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)) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta)) alpha)) |
(+.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 (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 (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 (pow.f64 (/.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) i) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) beta) (+.f64 i beta)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) beta) (+.f64 i beta)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) i) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 i beta) (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) (*.f64 (neg.f64 beta) beta))) (fma.f64 i #s(literal 2 binary64) (neg.f64 beta))) |
(*.f64 (/.f64 (*.f64 (+.f64 i beta) (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))) (fma.f64 #s(literal 8 binary64) (*.f64 (*.f64 i i) i) (*.f64 (*.f64 beta beta) beta))) (fma.f64 #s(literal 4 binary64) (*.f64 i i) (*.f64 beta (-.f64 beta (*.f64 i #s(literal 2 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 (+.f64 i beta) (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))) (pow.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) beta) (*.f64 (+.f64 i beta) i)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 i beta) (fma.f64 i #s(literal 2 binary64) beta)) (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))) |
(*.f64 (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))) (/.f64 (+.f64 i beta) (fma.f64 i #s(literal 2 binary64) beta))) |
(*.f64 (/.f64 i (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta))) (+.f64 i beta)) |
(*.f64 (*.f64 (+.f64 i beta) (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) beta))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 i beta) i)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta))) (*.f64 (+.f64 i beta) i)) |
(*.f64 (/.f64 i (fma.f64 i #s(literal 2 binary64) beta)) (/.f64 (+.f64 i beta) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (+.f64 i beta) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))) (/.f64 i (fma.f64 i #s(literal 2 binary64) beta))) |
(*.f64 (*.f64 (neg.f64 i) (+.f64 i beta)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))) |
(*.f64 (*.f64 (+.f64 i beta) i) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta)))) |
(*.f64 (+.f64 i beta) (/.f64 i (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta)))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 i beta) i) (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta)))) |
(*.f64 i (/.f64 (+.f64 i beta) (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta)))) |
(*.f64 i (*.f64 (+.f64 i beta) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta))))) |
(pow.f64 (/.f64 (fma.f64 i #s(literal 2 binary64) beta) (*.f64 (+.f64 i beta) (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 (+.f64 i beta) i)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 (+.f64 i beta) i)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (+.f64 i beta) i) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 i beta) (/.f64 i (fma.f64 i #s(literal 2 binary64) beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 (+.f64 i beta) (-.f64 beta i)) (/.f64 i (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta)))) (-.f64 beta i)) |
(/.f64 (*.f64 (fma.f64 (*.f64 i i) i (*.f64 (*.f64 beta beta) beta)) (/.f64 i (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta)))) (fma.f64 i (-.f64 i beta) (*.f64 beta beta))) |
(/.f64 (*.f64 (/.f64 (+.f64 i beta) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))) i) (fma.f64 i #s(literal 2 binary64) beta)) |
(/.f64 (*.f64 (*.f64 (+.f64 i beta) i) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta))) |
(/.f64 (neg.f64 (*.f64 (+.f64 i beta) (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))) (neg.f64 (fma.f64 i #s(literal 2 binary64) beta))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 i) (+.f64 i beta))) (neg.f64 (*.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))) |
(/.f64 (*.f64 (*.f64 (+.f64 i beta) (-.f64 beta i)) i) (*.f64 (-.f64 beta i) (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 i i) i (*.f64 (*.f64 beta beta) beta)) i) (*.f64 (fma.f64 i (-.f64 i beta) (*.f64 beta beta)) (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta)))) |
(/.f64 (*.f64 (+.f64 i beta) (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))) (fma.f64 i #s(literal 2 binary64) beta)) |
(/.f64 (*.f64 (neg.f64 i) (+.f64 i beta)) (*.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 i beta) i) (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 (+.f64 i beta) i)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i #s(literal 2 binary64) beta) (*.f64 (+.f64 i beta) (/.f64 i (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 (+.f64 i beta) i)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 (+.f64 i beta) i))) |
(neg.f64 (/.f64 (*.f64 (neg.f64 i) (+.f64 i beta)) (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta)))) |
(neg.f64 (/.f64 (*.f64 (+.f64 i beta) i) (*.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))) (/.f64 (*.f64 (+.f64 i beta) i) (*.f64 (neg.f64 (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 (+.f64 i beta) i))) #s(literal -1 binary64))) |
#s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/.f64 (*.f64 (+.f64 i beta) i) (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta)))) |
Compiled 88 797 to 4 724 computations (94.7% saved)
34 alts after pruning (32 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 652 | 21 | 1 673 |
| Fresh | 9 | 11 | 20 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 665 | 34 | 1 699 |
| Status | Accuracy | Program |
|---|---|---|
| 8.9% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (*.f64 (*.f64 beta alpha) i) (+.f64 beta alpha))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))) | |
| 8.5% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (*.f64 (*.f64 beta alpha) i) (+.f64 beta alpha))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (*.f64 beta beta))) | |
| 16.8% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 i alpha) i)) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| 29.7% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) (-.f64 #s(approx (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (*.f64 #s(literal 4 binary64) (*.f64 i i))) #s(literal 1 binary64))) | |
| 3.0% | (/.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))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (*.f64 alpha alpha))) | |
| 9.9% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (/ (* (* beta alpha) i) (+ beta alpha)) (*.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))) | |
| 28.5% | (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) #s(approx (/ (* (+ (+ beta alpha) i) i) (* (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))))) (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) (*.f64 i i)))) | |
| 28.9% | (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) #s(approx (/ (* (+ (+ beta alpha) i) i) (* (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))))) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/16 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 beta alpha) #s(literal -1/16 binary64)) (+.f64 beta alpha)) #s(literal 2 binary64) (*.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64))))) (*.f64 i i)))) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) (*.f64 i i)))) | |
| 18.4% | (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) #s(approx (/ (* (+ (+ beta alpha) i) i) (* (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))))) (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))))) | |
| 27.3% | (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 (/.f64 #s(approx (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (*.f64 (+.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) i) alpha) beta)) (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)))) | |
| 18.9% | (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 #s(approx (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+.f64 alpha i)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64)))) | |
| 36.8% | (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/.f64 (/.f64 (*.f64 (+.f64 i beta) i) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))) | |
| 71.5% | (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 (+.f64 beta alpha) #s(literal 1/8 binary64) (*.f64 #s(literal -1/64 binary64) (*.f64 (+.f64 beta alpha) #s(literal 12 binary64)))) i)) i))) | |
| ▶ | 71.5% | (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) i)))) |
| 11.9% | (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 i i)) (*.f64 (neg.f64 i) (*.f64 i #s(literal 6 binary64)))) beta)) i) (*.f64 beta beta))))) | |
| 6.5% | (*.f64 #s(approx (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (*.f64 (+.f64 (/.f64 (neg.f64 i) (+.f64 beta alpha)) #s(literal 1 binary64)) i)) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta))))) | |
| 29.6% | #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)) | |
| ▶ | 13.8% | #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(approx (* (+ alpha i) i) (*.f64 i i)) (*.f64 beta beta))) |
| 29.6% | #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 binary64) (*.f64 (/.f64 beta (+.f64 i alpha)) (/.f64 beta i)))) | |
| 28.0% | #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 binary64) (*.f64 beta (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 (+.f64 i alpha) beta))) #s(literal -1 binary64)))))) | |
| ▶ | 20.8% | #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 binary64) (*.f64 beta #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i)))))) |
| 64.4% | #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 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (-.f64 beta alpha))) i) #s(literal 1/8 binary64)))) | |
| ▶ | 78.4% | #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 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) |
| 72.3% | #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(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (*.f64 (fma.f64 (/.f64 beta (*.f64 i alpha)) #s(literal 1/8 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) alpha) (/.f64 #s(literal 1/8 binary64) i))) alpha)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) | |
| 64.4% | #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 #s(literal 1/16 binary64) (/.f64 (-.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (*.f64 beta alpha))) 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 (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64))) i) #s(literal -1/256 binary64) (*.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)))) i))) | |
| 29.7% | #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 (+.f64 i alpha) beta) (/.f64 i beta))) | |
| 14.8% | #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 i (*.f64 beta beta)) (+.f64 i alpha))) | |
| 29.6% | #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 #s(literal 1 binary64) beta) (*.f64 i (/.f64 (+.f64 i alpha) beta)))) | |
| ▶ | 15.4% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (*.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))))) |
| 11.2% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (/.f64 (/.f64 (*.f64 i alpha) beta) beta))) | |
| 12.6% | #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)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 (/.f64 alpha beta) (/.f64 i beta)))) | |
| ✓ | 10.0% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
| 10.0% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) i)))) | |
| ✓ | 72.3% | #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)) #s(literal 1/16 binary64)) |
Compiled 1 823 to 884 computations (51.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) | |
| cost-diff | 0 | (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) i)))) | |
| cost-diff | 320 | (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64)) | |
| cost-diff | 1216 | (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) | |
| cost-diff | 0 | (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) | |
| cost-diff | 0 | (*.f64 i i) | |
| cost-diff | 0 | (*.f64 (*.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) 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 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))))) | |
| cost-diff | 0 | #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i))) | |
| cost-diff | 0 | (*.f64 beta #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i)))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 beta #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i 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 binary64) (*.f64 beta #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i)))))) | |
| cost-diff | 0 | (*.f64 i i) | |
| cost-diff | 0 | #s(approx (* (+ alpha i) i) (*.f64 i i)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (+ alpha i) i) (*.f64 i 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 #s(approx (* (+ alpha i) i) (*.f64 i i)) (*.f64 beta beta))) | |
| cost-diff | 0 | (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) | |
| 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(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) | |
| cost-diff | 128 | (-.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) |
| 6 098× | lower-fma.f32 |
| 6 088× | lower-fma.f64 |
| 5 254× | lower-*.f32 |
| 5 230× | lower-*.f64 |
| 2 884× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 879 |
| 0 | 121 | 863 |
| 1 | 305 | 845 |
| 2 | 958 | 819 |
| 3 | 4913 | 762 |
| 4 | 7772 | 750 |
| 0 | 8050 | 734 |
| 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(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) |
(-.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) |
#s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) |
(fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64)) |
(/.f64 beta i) |
beta |
i |
#s(literal 1/8 binary64) |
#s(literal 1/16 binary64) |
(*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)) |
(/.f64 (+.f64 beta alpha) i) |
(+.f64 beta alpha) |
alpha |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* (+ alpha i) i) (*.f64 i i)) (*.f64 beta beta))) |
(/.f64 #s(approx (* (+ alpha i) i) (*.f64 i i)) (*.f64 beta beta)) |
#s(approx (* (+ alpha i) i) (*.f64 i i)) |
(*.f64 i i) |
i |
(*.f64 beta beta) |
beta |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 beta #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i))))) |
#s(literal 1 binary64) |
(*.f64 beta #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i)))) |
beta |
#s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i))) |
(/.f64 beta (*.f64 i i)) |
(*.f64 i 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 i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))))) |
(*.f64 (*.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))) |
(*.f64 i i) |
i |
(/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) |
(*.f64 (+.f64 beta i) (+.f64 beta i)) |
(+.f64 beta i) |
beta |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) |
(fma.f64 #s(literal 2 binary64) i beta) |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
(*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) |
(*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) i)))) |
(*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(+.f64 (+.f64 beta alpha) i) |
(+.f64 beta alpha) |
beta |
alpha |
i |
(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) |
#s(literal 2 binary64) |
#s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) i))) |
#s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) i)) |
(/.f64 (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) i) |
(-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) |
(fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) |
(/.f64 beta i) |
#s(literal 1/8 binary64) |
(*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64)) |
(/.f64 (*.f64 beta #s(literal 12 binary64)) i) |
(*.f64 beta #s(literal 12 binary64)) |
#s(literal 12 binary64) |
#s(literal 1/64 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(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (fma.f64 (/.f64 #s(literal -1/8 binary64) i) (+.f64 beta alpha) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))) |
(-.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) |
(fma.f64 (/.f64 #s(literal -1/8 binary64) i) (+.f64 beta alpha) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) |
#s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) |
#s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) |
(fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)) |
(/.f64 beta i) |
beta |
i |
#s(literal 1/8 binary64) |
#s(literal 1/16 binary64) |
(*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)) |
(/.f64 (+.f64 beta alpha) i) |
(+.f64 beta alpha) |
alpha |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* (+ alpha i) i) (*.f64 i i)) (*.f64 beta beta))) |
(/.f64 #s(approx (* (+ alpha i) i) (*.f64 i i)) (*.f64 beta beta)) |
#s(approx (* (+ alpha i) i) (*.f64 i i)) |
(*.f64 i i) |
i |
(*.f64 beta beta) |
beta |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta #s(approx (/ beta (* (+ alpha i) i)) (/.f64 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 #s(literal 1 binary64) (*.f64 #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i))) beta))) |
(/.f64 #s(literal 1 binary64) (*.f64 beta #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i))) beta)) |
#s(literal 1 binary64) |
(*.f64 beta #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i)))) |
(*.f64 #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i))) beta) |
beta |
#s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i))) |
(/.f64 beta (*.f64 i i)) |
(*.f64 i 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 i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) 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 beta i) i) i) (/.f64 (+.f64 beta i) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)))))) |
(*.f64 (*.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))) |
(*.f64 (*.f64 (*.f64 (+.f64 beta i) i) i) (/.f64 (+.f64 beta i) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64))))) |
(*.f64 i i) |
i |
(/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) |
(*.f64 (/.f64 (+.f64 beta i) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)))) (+.f64 beta i)) |
(*.f64 (+.f64 beta i) (+.f64 beta i)) |
(+.f64 beta i) |
beta |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) |
(fma.f64 #s(literal 2 binary64) i beta) |
#s(literal 2 binary64) |
#s(literal -1 binary64) |
(*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) |
(*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) i)))) |
(*.f64 #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (fma.f64 (/.f64 beta i) #s(literal -1/16 binary64) #s(literal 1/8 binary64)) i))) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 (+.f64 beta i) alpha))) |
(*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 (+.f64 beta i) alpha)) |
(+.f64 (+.f64 beta alpha) i) |
(+.f64 (+.f64 beta i) alpha) |
(+.f64 beta alpha) |
beta |
alpha |
i |
(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) |
#s(literal 2 binary64) |
#s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) i))) |
#s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (fma.f64 (/.f64 beta i) #s(literal -1/16 binary64) #s(literal 1/8 binary64)) i))) |
#s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) i)) |
#s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (fma.f64 (/.f64 beta i) #s(literal -1/16 binary64) #s(literal 1/8 binary64)) i)) |
(/.f64 (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) i) |
(/.f64 (fma.f64 (/.f64 beta i) #s(literal -1/16 binary64) #s(literal 1/8 binary64)) i) |
(-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) |
(fma.f64 (/.f64 beta i) #s(literal -1/16 binary64) #s(literal 1/8 binary64)) |
(fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/8 binary64)) |
(/.f64 beta i) |
#s(literal 1/8 binary64) |
(*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64)) |
(*.f64 #s(literal 3/16 binary64) (/.f64 beta i)) |
(/.f64 (*.f64 beta #s(literal 12 binary64)) i) |
(*.f64 #s(literal 12 binary64) (/.f64 beta i)) |
(*.f64 beta #s(literal 12 binary64)) |
(*.f64 #s(literal 12 binary64) beta) |
#s(literal 12 binary64) |
#s(literal 1/64 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.29960644536884035 | (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) | |
| accuracy | 1.0703220170933967 | #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) i))) | |
| accuracy | 4.410078594685713 | (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) i)))) | |
| accuracy | 17.89180943023631 | #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) i)) | |
| accuracy | 0.0859375 | (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) | |
| accuracy | 2.2381350359099583 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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 i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))))) | |
| accuracy | 35.46630443555014 | (*.f64 (*.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))) | |
| accuracy | 52.97290545734167 | (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) | |
| accuracy | 2.4821336096334643 | #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i))) | |
| accuracy | 4.1486578541228045 | (*.f64 beta #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i)))) | |
| accuracy | 9.547888532014612 | (/.f64 beta (*.f64 i i)) | |
| accuracy | 44.90811212524207 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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 #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i)))))) | |
| accuracy | 0 | (*.f64 beta beta) | |
| accuracy | 2.2562373331758616 | #s(approx (* (+ alpha i) i) (*.f64 i i)) | |
| accuracy | 20.26762994754204 | (/.f64 #s(approx (* (+ alpha i) i) (*.f64 i i)) (*.f64 beta beta)) | |
| accuracy | 44.90811212524207 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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) i) (*.f64 i i)) (*.f64 beta beta))) | |
| accuracy | 0.01953125 | (/.f64 (+.f64 beta alpha) i) | |
| accuracy | 0.09704409992171092 | #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) | |
| accuracy | 15.994273164792757 | (-.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) | |
| accuracy | 17.756806775293054 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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 (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) |
| 130.0ms | 187× | 0 | valid |
| 97.0ms | 69× | 1 | valid |
Compiled 693 to 72 computations (89.6% saved)
ival-mult: 66.0ms (41.2% of total)ival-div: 56.0ms (35% of total)ival-add: 25.0ms (15.6% of total)adjust: 8.0ms (5% of total)ival-sub: 4.0ms (2.5% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) (patch (-.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 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 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 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)) (-.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (patch #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64)) (patch (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #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 #s(approx (* (+ alpha i) i) (*.f64 i 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 #s(approx (* (+ alpha i) i) (*.f64 i i)) (*.f64 beta beta))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (+ alpha i) i) (*.f64 i i)) (*.f64 beta beta)) (patch (/.f64 #s(approx (* (+ alpha i) i) (*.f64 i i)) (*.f64 beta beta)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ alpha i) i) (*.f64 i i)) (patch #s(approx (* (+ alpha i) i) (*.f64 i i)) #<representation binary64>) () ()) |
#s(alt (*.f64 i i) (patch (*.f64 i i) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i 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 binary64) (*.f64 beta #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 beta #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i))))) (patch (/.f64 #s(literal 1 binary64) (*.f64 beta #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i))))) #<representation binary64>) () ()) |
#s(alt (*.f64 beta #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i)))) (patch (*.f64 beta #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i))) (patch #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (*.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) 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 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))) (patch (*.f64 (*.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) (patch (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) (patch (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64)) (patch (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) i)))) (patch (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) i)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (patch (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 beta alpha) i) (patch (/.f64 (+.f64 beta alpha) i) #<representation binary64>) () ()) |
#s(alt (*.f64 beta beta) (patch (*.f64 beta beta) #<representation binary64>) () ()) |
#s(alt (/.f64 beta (*.f64 i i)) (patch (/.f64 beta (*.f64 i i)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) (patch (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) i)) (patch #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) i)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) i))) (patch #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) i))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1/16 (taylor 0 beta) (#s(alt (-.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) (patch (-.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1/16 (taylor 0 beta) (#s(alt (-.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) (patch (-.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) #<representation binary64>) () ())) ()) |
#s(alt 1/16 (taylor 0 beta) (#s(alt (-.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) (patch (-.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) #<representation binary64>) () ())) ()) |
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#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 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 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)) (-.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)))) (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 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 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)) (-.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)))) (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 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 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)) (-.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 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)))) (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 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 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)) (-.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/16 (* 1/8 (/ alpha i))) (taylor 0 beta) (#s(alt #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (patch #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 44.0ms | beta | @ | 0 | ((- (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (* (/ (+ beta alpha) i) 1/8)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (+ (* (/ beta i) 1/8) 1/16) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (+ alpha i) i) (* beta beta)) (* (+ alpha i) i) (* i 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)) (/ 1 (* beta (/ beta (* (+ alpha i) i)))) (* beta (/ beta (* (+ alpha i) i))) (/ beta (* (+ alpha i) i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta)))) (- (+ (* (/ beta i) 1/8) 1/8) (* (/ (* beta 12) i) 1/64)) (* (/ (* beta 12) i) 1/64) (* (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (/ (+ beta alpha) i) (* beta beta) (/ beta (* i i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))) (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1))) |
| 12.0ms | i | @ | 0 | ((- (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (* (/ (+ beta alpha) i) 1/8)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (+ (* (/ beta i) 1/8) 1/16) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (+ alpha i) i) (* beta beta)) (* (+ alpha i) i) (* i 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)) (/ 1 (* beta (/ beta (* (+ alpha i) i)))) (* beta (/ beta (* (+ alpha i) i))) (/ beta (* (+ alpha i) i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta)))) (- (+ (* (/ beta i) 1/8) 1/8) (* (/ (* beta 12) i) 1/64)) (* (/ (* beta 12) i) 1/64) (* (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (/ (+ beta alpha) i) (* beta beta) (/ beta (* i i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))) (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1))) |
| 6.0ms | beta | @ | inf | ((- (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (* (/ (+ beta alpha) i) 1/8)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (+ (* (/ beta i) 1/8) 1/16) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (+ alpha i) i) (* beta beta)) (* (+ alpha i) i) (* i 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)) (/ 1 (* beta (/ beta (* (+ alpha i) i)))) (* beta (/ beta (* (+ alpha i) i))) (/ beta (* (+ alpha i) i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta)))) (- (+ (* (/ beta i) 1/8) 1/8) (* (/ (* beta 12) i) 1/64)) (* (/ (* beta 12) i) 1/64) (* (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (/ (+ beta alpha) i) (* beta beta) (/ beta (* i i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))) (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1))) |
| 6.0ms | beta | @ | -inf | ((- (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (* (/ (+ beta alpha) i) 1/8)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (+ (* (/ beta i) 1/8) 1/16) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (+ alpha i) i) (* beta beta)) (* (+ alpha i) i) (* i 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)) (/ 1 (* beta (/ beta (* (+ alpha i) i)))) (* beta (/ beta (* (+ alpha i) i))) (/ beta (* (+ alpha i) i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta)))) (- (+ (* (/ beta i) 1/8) 1/8) (* (/ (* beta 12) i) 1/64)) (* (/ (* beta 12) i) 1/64) (* (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (/ (+ beta alpha) i) (* beta beta) (/ beta (* i i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))) (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1))) |
| 5.0ms | i | @ | -inf | ((- (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (* (/ (+ beta alpha) i) 1/8)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (+ (* (/ beta i) 1/8) 1/16) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (+ alpha i) i) (* beta beta)) (* (+ alpha i) i) (* i 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)) (/ 1 (* beta (/ beta (* (+ alpha i) i)))) (* beta (/ beta (* (+ alpha i) i))) (/ beta (* (+ alpha i) i)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta)))) (- (+ (* (/ beta i) 1/8) 1/8) (* (/ (* beta 12) i) 1/64)) (* (/ (* beta 12) i) 1/64) (* (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1))) (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (/ (+ beta alpha) i) (* beta beta) (/ beta (* i i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))) (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1))) |
| 1× | egg-herbie |
| 7 506× | lower-*.f64 |
| 7 506× | lower-*.f32 |
| 6 448× | lower-fma.f64 |
| 6 448× | lower-fma.f32 |
| 4 200× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2156 | 46554 |
| 1 | 7387 | 46526 |
| 0 | 8968 | 42412 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1/16 |
1/16 |
1/16 |
1/16 |
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
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1/16 |
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(/ (* i (+ alpha i)) (pow beta 2)) |
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(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
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(* 1/4 (/ (pow i 2) (- (* 4 (pow i 2)) 1))) |
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(/ 1/4 (- (* 4 (pow i 2)) 1)) |
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1/8 |
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(* 3/16 (/ beta i)) |
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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)) (+ alpha (* 2 i))) |
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(/ alpha i) |
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(pow beta 2) |
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(* 4 (* (pow i 2) (- (* 4 (pow i 2)) 1))) |
(+ (* 4 (* (pow i 2) (- (* 4 (pow i 2)) 1))) (* beta (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))))) |
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(+ (* 4 (* (pow i 2) (- (* 4 (pow i 2)) 1))) (* beta (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (+ (* 16 (pow i 3)) (* beta (- (+ (* 8 (* beta i)) (+ (* 8 (pow i 2)) (* 16 (pow i 2)))) 1)))))) |
(* 1/2 (/ i (- (* 4 (pow i 2)) 1))) |
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(/ (* i (+ alpha i)) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) |
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(+ (* beta (- (+ (* beta (- (* -1 (* beta (+ (* -1 (/ (* (+ (/ (* i (* (+ alpha i) (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (/ (* (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1) (- (+ (/ alpha (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ i (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* i (* (+ alpha i) (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))) (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1)) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))) (+ (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (/ (* (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) (- (+ (/ alpha (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ i (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* i (* (+ alpha i) (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))))))) (+ (/ (* i (* (+ alpha i) (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))) (/ (* (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1) (- (+ (/ alpha (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ i (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* i (* (+ alpha i) (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))))) (+ (/ alpha (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ i (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))))) (/ (* i (* (+ alpha i) (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 2) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* i (+ alpha i)) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
1/16 |
1/16 |
1/16 |
1/16 |
(/ (* 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)) |
(* 1/8 (/ beta i)) |
(* beta (+ (* 1/8 (/ alpha (* beta i))) (+ (* 1/16 (/ 1 beta)) (* 1/8 (/ 1 i))))) |
(* beta (+ (* 1/8 (/ alpha (* beta i))) (+ (* 1/16 (/ 1 beta)) (* 1/8 (/ 1 i))))) |
(* beta (+ (* 1/8 (/ alpha (* beta i))) (+ (* 1/16 (/ 1 beta)) (* 1/8 (/ 1 i))))) |
(* 1/8 (/ beta i)) |
(* beta (+ (* 1/16 (/ 1 beta)) (* 1/8 (/ 1 i)))) |
(* beta (+ (* 1/16 (/ 1 beta)) (* 1/8 (/ 1 i)))) |
(* beta (+ (* 1/16 (/ 1 beta)) (* 1/8 (/ 1 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)) |
(/ (- (+ (* 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)) (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) (* 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 (* 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)) |
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (pow i 2) (pow beta 2)) |
(/ (- (+ (* 2 (/ (pow i 3) beta)) (pow i 2)) (* 8 (/ (pow i 3) beta))) (pow beta 2)) |
(/ (- (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2))) (+ (* 8 (/ (* i (- (* 2 (pow i 3)) (* 8 (pow i 3)))) (pow beta 2))) (+ (* 8 (/ (pow i 3) beta)) (/ (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) (pow beta 2))))) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* 8 (* i (- (pow i 4) (+ (* 8 (* i (- (* 2 (pow i 3)) (* 8 (pow i 3))))) (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)))))) (+ (* (- (* 2 (pow i 3)) (* 8 (pow i 3))) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) (* (pow i 2) (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3)))))) (pow beta 3))) (+ (* 2 (/ (pow i 3) beta)) (+ (/ (pow i 4) (pow beta 2)) (pow i 2)))) (+ (* 8 (/ (* i (- (* 2 (pow i 3)) (* 8 (pow i 3)))) (pow beta 2))) (+ (* 8 (/ (pow i 3) beta)) (/ (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) (pow beta 2))))) (pow beta 2)) |
(/ 1 (pow beta 2)) |
(/ (- (+ 1 (* 2 (/ i beta))) (* 8 (/ i beta))) (pow beta 2)) |
(/ (- (+ 1 (+ (* 2 (/ i beta)) (+ (/ 1 (pow beta 2)) (/ (pow i 2) (pow beta 2))))) (+ (* 8 (/ i beta)) (+ (* 8 (/ (* i (- (* 2 i) (* 8 i))) (pow beta 2))) (+ (* 8 (/ (pow i 2) (pow beta 2))) (* 16 (/ (pow i 2) (pow beta 2))))))) (pow beta 2)) |
(/ (- (+ 1 (+ (* -1 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (+ (* 8 (* i (- (+ 1 (pow i 2)) (+ (* 8 (* i (- (* 2 i) (* 8 i)))) (+ (* 8 (pow i 2)) (* 16 (pow i 2))))))) (+ (* 16 (pow i 3)) (* (- (* 2 i) (* 8 i)) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1))))) (pow beta 3))) (+ (* 2 (/ i beta)) (+ (/ 1 (pow beta 2)) (/ (pow i 2) (pow beta 2)))))) (+ (* 8 (/ i beta)) (+ (* 8 (/ (* i (- (* 2 i) (* 8 i))) (pow beta 2))) (+ (* 8 (/ (pow i 2) (pow beta 2))) (* 16 (/ (pow i 2) (pow beta 2))))))) (pow beta 2)) |
(* -1/16 (/ beta i)) |
(* beta (- (* 1/8 (/ 1 beta)) (* 1/16 (/ 1 i)))) |
(* beta (- (* 1/8 (/ 1 beta)) (* 1/16 (/ 1 i)))) |
(* beta (- (* 1/8 (/ 1 beta)) (* 1/16 (/ 1 i)))) |
(* 3/16 (/ beta i)) |
(* 3/16 (/ beta i)) |
(* 3/16 (/ beta i)) |
(* 3/16 (/ beta 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)) |
(/ (- (+ (* 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 |
(- (+ i (/ (* i (+ alpha i)) beta)) (/ (* i (+ alpha (* 2 i))) beta)) |
(- (+ i (+ (* -1 (/ (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* i (+ alpha (* 2 i))))) (pow beta 2))) (/ (* i (+ alpha i)) beta))) (/ (* i (+ alpha (* 2 i))) beta)) |
(- (+ i (+ (/ (* i (+ alpha i)) beta) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ alpha i)) (* i (+ alpha (* 2 i))))) (pow beta 3)))) (+ (/ (* i (+ alpha (* 2 i))) beta) (/ (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* i (+ alpha (* 2 i))))) (pow beta 2)))) |
(/ beta i) |
(* beta (+ (/ 1 i) (/ alpha (* beta i)))) |
(* beta (+ (/ 1 i) (/ alpha (* beta i)))) |
(* beta (+ (/ 1 i) (/ alpha (* beta i)))) |
(pow beta 2) |
(pow beta 2) |
(pow beta 2) |
(pow beta 2) |
(/ beta (pow i 2)) |
(/ beta (pow i 2)) |
(/ beta (pow i 2)) |
(/ beta (pow i 2)) |
(pow beta 4) |
(* (pow beta 4) (+ 1 (* 8 (/ i beta)))) |
(* (pow beta 4) (- (+ 1 (+ (* 8 (/ i beta)) (+ (* 8 (/ (pow i 2) (pow beta 2))) (* 16 (/ (pow i 2) (pow beta 2)))))) (/ 1 (pow beta 2)))) |
(* (pow beta 4) (- (+ 1 (+ (* 4 (/ (* i (- (* 4 (pow i 2)) 1)) (pow beta 3))) (+ (* 8 (/ i beta)) (+ (* 8 (/ (pow i 2) (pow beta 2))) (+ (* 16 (/ (pow i 2) (pow beta 2))) (* 16 (/ (pow i 3) (pow beta 3)))))))) (/ 1 (pow beta 2)))) |
(/ i (pow beta 2)) |
(/ (- (+ i (/ (pow i 2) beta)) (/ (* i (+ (* 2 i) (* 4 i))) beta)) (pow beta 2)) |
(/ (- (+ i (+ (* -1 (/ (+ (* i (- (+ (* 4 (pow i 2)) (* 8 (pow i 2))) 1)) (* (+ (* 2 i) (* 4 i)) (- (pow i 2) (* i (+ (* 2 i) (* 4 i)))))) (pow beta 2))) (/ (pow i 2) beta))) (/ (* i (+ (* 2 i) (* 4 i))) beta)) (pow beta 2)) |
(/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* 2 i) (* 4 i)) (+ (* i (- (+ (* 4 (pow i 2)) (* 8 (pow i 2))) 1)) (* (+ (* 2 i) (* 4 i)) (- (pow i 2) (* i (+ (* 2 i) (* 4 i)))))))) (+ (* 2 (* (pow i 2) (- (* 4 (pow i 2)) 1))) (* (- (+ (* 4 (pow i 2)) (* 8 (pow i 2))) 1) (- (pow i 2) (* i (+ (* 2 i) (* 4 i))))))) (pow beta 3))) (/ (pow i 2) beta))) (+ (/ (* i (+ (* 2 i) (* 4 i))) beta) (+ (/ (* i (- (+ (* 4 (pow i 2)) (* 8 (pow i 2))) 1)) (pow beta 2)) (/ (* (+ (* 2 i) (* 4 i)) (- (pow i 2) (* i (+ (* 2 i) (* 4 i))))) (pow beta 2))))) (pow beta 2)) |
(/ (+ alpha i) (pow beta 2)) |
(/ (- (+ alpha (+ i (/ (* i (+ alpha i)) beta))) (/ (* (+ alpha i) (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) beta)) (pow beta 2)) |
(/ (- (+ alpha (+ i (+ (* -1 (/ (+ (* (+ alpha i) (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1)) (* (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) (- (* i (+ alpha i)) (* (+ alpha i) (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))))))) (pow beta 2))) (/ (* i (+ alpha i)) beta)))) (/ (* (+ alpha i) (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) beta)) (pow beta 2)) |
(/ (- (+ alpha (+ i (+ (* -1 (/ (+ (* -1 (* (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) (+ (* (+ alpha i) (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1)) (* (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) (- (* i (+ alpha i)) (* (+ alpha i) (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))))))))) (+ (* (+ alpha i) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* (- (* i (+ alpha i)) (* (+ alpha i) (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))))) (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1)))) (pow beta 3))) (/ (* i (+ alpha i)) beta)))) (+ (/ (* (+ alpha i) (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) beta) (+ (/ (* (+ alpha i) (- (+ (* (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1)) (pow beta 2)) (/ (* (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) (- (* i (+ alpha i)) (* (+ alpha i) (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))))) (pow beta 2))))) (pow beta 2)) |
1/16 |
1/16 |
1/16 |
1/16 |
(* -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)) |
(* 1/8 (/ beta i)) |
(* -1 (* beta (- (* -1 (/ (+ 1/16 (* 1/8 (/ alpha i))) beta)) (* 1/8 (/ 1 i))))) |
(* -1 (* beta (- (* -1 (/ (+ 1/16 (* 1/8 (/ alpha i))) beta)) (* 1/8 (/ 1 i))))) |
(* -1 (* beta (- (* -1 (/ (+ 1/16 (* 1/8 (/ alpha i))) beta)) (* 1/8 (/ 1 i))))) |
(* 1/8 (/ beta i)) |
(* beta (+ (* 1/8 (/ 1 i)) (* 1/16 (/ 1 beta)))) |
(* beta (+ (* 1/8 (/ 1 i)) (* 1/16 (/ 1 beta)))) |
(* beta (+ (* 1/8 (/ 1 i)) (* 1/16 (/ 1 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)) |
(* -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) (* 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 (* i (+ alpha 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)) |
(/ (pow i 2) (pow beta 2)) |
(/ (+ (* -1 (/ (- (* -2 (pow i 3)) (* -8 (pow i 3))) beta)) (pow i 2)) (pow beta 2)) |
(/ (+ (* -1 (/ (- (+ (* -2 (pow i 3)) (* -1 (/ (- (pow i 4) (+ (* -8 (* i (- (* -2 (pow i 3)) (* -8 (pow i 3))))) (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)))) beta))) (* -8 (pow i 3))) beta)) (pow i 2)) (pow beta 2)) |
(/ (+ (* -1 (/ (- (+ (* -2 (pow i 3)) (* -1 (/ (- (+ (* -8 (/ (* i (- (pow i 4) (+ (* -8 (* i (- (* -2 (pow i 3)) (* -8 (pow i 3))))) (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1))))) beta)) (+ (/ (* (- (* -2 (pow i 3)) (* -8 (pow i 3))) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) beta) (+ (/ (* (pow i 2) (+ (* -16 (pow i 3)) (* -4 (* i (- (* 4 (pow i 2)) 1))))) beta) (pow i 4)))) (+ (* -8 (* i (- (* -2 (pow i 3)) (* -8 (pow i 3))))) (* (pow i 2) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)))) beta))) (* -8 (pow i 3))) beta)) (pow i 2)) (pow beta 2)) |
(/ 1 (pow beta 2)) |
(/ (+ 1 (* -1 (/ (- (* -2 i) (* -8 i)) beta))) (pow beta 2)) |
(/ (+ 1 (* -1 (/ (- (+ (* -2 i) (* -1 (/ (- (+ 1 (pow i 2)) (+ (* -8 (* i (- (* -2 i) (* -8 i)))) (+ (* 8 (pow i 2)) (* 16 (pow i 2))))) beta))) (* -8 i)) beta))) (pow beta 2)) |
(/ (+ 1 (* -1 (/ (- (+ (* -2 i) (* -1 (/ (- (+ 1 (+ (* -16 (/ (pow i 3) beta)) (+ (* -8 (/ (* i (- (+ 1 (pow i 2)) (+ (* -8 (* i (- (* -2 i) (* -8 i)))) (+ (* 8 (pow i 2)) (* 16 (pow i 2)))))) beta)) (+ (* -4 (/ (* i (- (* 4 (pow i 2)) 1)) beta)) (+ (/ (* (- (* -2 i) (* -8 i)) (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1)) beta) (pow i 2)))))) (+ (* -8 (* i (- (* -2 i) (* -8 i)))) (+ (* 8 (pow i 2)) (* 16 (pow i 2))))) beta))) (* -8 i)) beta))) (pow beta 2)) |
(* -1/16 (/ beta i)) |
(* -1 (* beta (- (* 1/16 (/ 1 i)) (* 1/8 (/ 1 beta))))) |
(* -1 (* beta (- (* 1/16 (/ 1 i)) (* 1/8 (/ 1 beta))))) |
(* -1 (* beta (- (* 1/16 (/ 1 i)) (* 1/8 (/ 1 beta))))) |
(* 3/16 (/ beta i)) |
(* 3/16 (/ beta i)) |
(* 3/16 (/ beta i)) |
(* 3/16 (/ beta 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 |
(+ i (* -1 (/ (- (* -1 (* i (+ alpha i))) (* -1 (* i (+ alpha (* 2 i))))) beta))) |
(+ i (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (* -1 (/ (* (+ alpha (* 2 i)) (- (* -1 (* i (+ alpha i))) (* -1 (* i (+ alpha (* 2 i)))))) beta))) (* -1 (* i (+ alpha (* 2 i))))) beta))) |
(+ i (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (* -1 (/ (- (* -1 (/ (* (pow (+ alpha (* 2 i)) 2) (- (* -1 (* i (+ alpha i))) (* -1 (* i (+ alpha (* 2 i)))))) beta)) (* -1 (* (+ alpha (* 2 i)) (- (* -1 (* i (+ alpha i))) (* -1 (* i (+ alpha (* 2 i)))))))) beta))) (* -1 (* i (+ alpha (* 2 i))))) beta))) |
(/ beta i) |
(* -1 (* beta (- (* -1 (/ alpha (* beta i))) (/ 1 i)))) |
(* -1 (* beta (- (* -1 (/ alpha (* beta i))) (/ 1 i)))) |
(* -1 (* beta (- (* -1 (/ alpha (* beta i))) (/ 1 i)))) |
(pow beta 2) |
(pow beta 2) |
(pow beta 2) |
(pow beta 2) |
(/ beta (pow i 2)) |
(/ beta (pow i 2)) |
(/ beta (pow i 2)) |
(/ beta (pow i 2)) |
(pow beta 4) |
(* (pow beta 4) (+ 1 (* 8 (/ i beta)))) |
(* (pow beta 4) (+ 1 (* -1 (/ (+ (* -8 i) (* -1 (/ (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1) beta))) beta)))) |
(* (pow beta 4) (+ 1 (* -1 (/ (+ (* -8 i) (* -1 (/ (- (+ (* -1 (/ (+ (* -16 (pow i 3)) (* -4 (* i (- (* 4 (pow i 2)) 1)))) beta)) (+ (* 8 (pow i 2)) (* 16 (pow i 2)))) 1) beta))) beta)))) |
(/ i (pow beta 2)) |
(/ (+ i (* -1 (/ (- (* -1 (pow i 2)) (* -1 (* i (+ (* 2 i) (* 4 i))))) beta))) (pow beta 2)) |
(/ (+ i (* -1 (/ (- (+ (* -1 (/ (* i (+ (* -8 (pow i 2)) (* -1 (- (* 4 (pow i 2)) 1)))) beta)) (+ (* -1 (/ (* (+ (* 2 i) (* 4 i)) (- (* -1 (pow i 2)) (* -1 (* i (+ (* 2 i) (* 4 i)))))) beta)) (* -1 (pow i 2)))) (* -1 (* i (+ (* 2 i) (* 4 i))))) beta))) (pow beta 2)) |
(/ (+ i (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (pow i 2) (- (* 4 (pow i 2)) 1)) beta)) (+ (* -1 (/ (* (+ (* -8 (pow i 2)) (* -1 (- (* 4 (pow i 2)) 1))) (- (* -1 (pow i 2)) (* -1 (* i (+ (* 2 i) (* 4 i)))))) beta)) (/ (* (+ (* -1 (* i (+ (* -8 (pow i 2)) (* -1 (- (* 4 (pow i 2)) 1))))) (* -1 (* (+ (* 2 i) (* 4 i)) (- (* -1 (pow i 2)) (* -1 (* i (+ (* 2 i) (* 4 i)))))))) (+ (* 2 i) (* 4 i))) beta))) (+ (* -1 (* i (+ (* -8 (pow i 2)) (* -1 (- (* 4 (pow i 2)) 1))))) (* -1 (* (+ (* 2 i) (* 4 i)) (- (* -1 (pow i 2)) (* -1 (* i (+ (* 2 i) (* 4 i))))))))) beta)) (* -1 (pow i 2))) (* -1 (* i (+ (* 2 i) (* 4 i))))) beta))) (pow beta 2)) |
(* -1 (/ (+ (* -1 alpha) (* -1 i)) (pow beta 2))) |
(/ (+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (* -1 (* i (+ alpha i))) (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))) beta))) (pow beta 2)) |
(/ (+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (+ (* -1 (/ (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (- (* -1 (* i (+ alpha i))) (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i))))) beta)) (/ (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (* -1 alpha) (* -1 i))) beta))) (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))) beta))) (pow beta 2)) |
(/ (+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (- (* -1 (* i (+ alpha i))) (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i))))) beta)) (+ (/ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) beta) (/ (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (- (* -1 (* i (+ alpha i))) (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))))) (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (* -1 alpha) (* -1 i))))) beta))) (+ (* -1 (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (- (* -1 (* i (+ alpha i))) (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))))) (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (* -1 alpha) (* -1 i))))) beta))) (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))) beta))) (pow beta 2)) |
1/16 |
1/16 |
1/16 |
1/16 |
(/ (* (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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(/ (* i (+ beta i)) (+ beta (* 2 i))) |
(+ (* alpha (- (/ i (+ beta (* 2 i))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i)))) |
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(/ beta i) |
(+ (/ alpha i) (/ beta i)) |
(+ (/ alpha i) (/ beta i)) |
(+ (/ alpha i) (/ beta i)) |
(/ (* i (+ beta i)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) |
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(+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (/ (* i (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (/ (* (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1) (- (+ (/ beta (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (/ i (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (+ (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (/ (* (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) (- (+ (/ beta (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (/ i (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))))))) (+ (/ (* i (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (/ (* (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1) (- (+ (/ beta (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (/ i (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))))) (+ (/ beta (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (/ i (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))))) (/ (* i (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* i (+ beta i)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) |
1/16 |
1/16 |
1/16 |
1/16 |
(/ (* 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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(/ (- (+ (* -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)) |
(* 1/8 (/ alpha i)) |
(* alpha (+ (* 1/8 (/ beta (* alpha i))) (+ (* 1/16 (/ 1 alpha)) (* 1/8 (/ 1 i))))) |
(* alpha (+ (* 1/8 (/ beta (* alpha i))) (+ (* 1/16 (/ 1 alpha)) (* 1/8 (/ 1 i))))) |
(* alpha (+ (* 1/8 (/ beta (* alpha i))) (+ (* 1/16 (/ 1 alpha)) (* 1/8 (/ 1 i))))) |
(/ (* 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) |
(* alpha (+ i (/ (pow i 2) alpha))) |
(* alpha (+ i (/ (pow i 2) alpha))) |
(* alpha (+ i (/ (pow i 2) 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 i)) |
(/ (+ (* -1 (/ (pow beta 2) alpha)) (/ (pow beta 2) i)) alpha) |
(/ (- (+ (/ (* (pow beta 2) i) (pow alpha 2)) (/ (pow beta 2) i)) (/ (pow beta 2) alpha)) alpha) |
(/ (- (+ (* -1 (/ (* (pow beta 2) (pow i 2)) (pow alpha 3))) (/ (pow beta 2) i)) (+ (* -1 (/ (* (pow beta 2) i) (pow alpha 2))) (/ (pow beta 2) alpha))) alpha) |
(/ beta (* alpha i)) |
(/ (+ (* -1 (/ beta alpha)) (/ beta i)) alpha) |
(/ (- (+ (/ beta i) (/ (* beta i) (pow alpha 2))) (/ beta alpha)) alpha) |
(/ (- (+ (* -1 (/ (* beta (pow i 2)) (pow alpha 3))) (/ beta i)) (+ (* -1 (/ (* beta i) (pow alpha 2))) (/ beta alpha))) alpha) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (* i (+ beta i)) (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 |
(- (+ i (/ (* i (+ beta i)) alpha)) (/ (* i (+ beta (* 2 i))) alpha)) |
(- (+ i (+ (* -1 (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ beta (* 2 i))))) (pow alpha 2))) (/ (* i (+ beta i)) alpha))) (/ (* i (+ beta (* 2 i))) alpha)) |
(- (+ i (+ (/ (* i (+ beta i)) alpha) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ beta i)) (* i (+ beta (* 2 i))))) (pow alpha 3)))) (+ (/ (* i (+ beta (* 2 i))) alpha) (/ (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ beta (* 2 i))))) (pow alpha 2)))) |
(/ alpha i) |
(* alpha (+ (/ 1 i) (/ beta (* alpha i)))) |
(* alpha (+ (/ 1 i) (/ beta (* alpha i)))) |
(* alpha (+ (/ 1 i) (/ beta (* alpha i)))) |
(/ (+ beta i) (pow alpha 2)) |
(/ (- (+ beta (+ i (/ (* i (+ beta i)) alpha))) (/ (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) alpha)) (pow alpha 2)) |
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)) (* (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) (- (* i (+ beta i)) (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))))) (pow alpha 2))) (/ (* i (+ beta i)) alpha)))) (/ (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) alpha)) (pow alpha 2)) |
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* -1 (* (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) (+ (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)) (* (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) (- (* i (+ beta i)) (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))))))) (+ (* (+ beta i) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* (- (* i (+ beta i)) (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)))) (pow alpha 3))) (/ (* i (+ beta i)) alpha)))) (+ (/ (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) alpha) (+ (/ (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)) (pow alpha 2)) (/ (* (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) (- (* i (+ beta i)) (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))))) (pow alpha 2))))) (pow alpha 2)) |
1/16 |
1/16 |
1/16 |
1/16 |
(* -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)) |
(* 1/8 (/ alpha i)) |
(* -1 (* alpha (- (* -1 (/ (+ 1/16 (* 1/8 (/ beta i))) alpha)) (* 1/8 (/ 1 i))))) |
(* -1 (* alpha (- (* -1 (/ (+ 1/16 (* 1/8 (/ beta i))) alpha)) (* 1/8 (/ 1 i))))) |
(* -1 (* alpha (- (* -1 (/ (+ 1/16 (* 1/8 (/ beta i))) alpha)) (* 1/8 (/ 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 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))) (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 i)) |
(* -1 (/ (+ (* -1 (/ (pow beta 2) i)) (/ (pow beta 2) alpha)) alpha)) |
(* -1 (/ (+ (* -1 (/ (- (/ (* (pow beta 2) i) alpha) (pow beta 2)) alpha)) (* -1 (/ (pow beta 2) i))) alpha)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow beta 2) (pow i 2)) alpha) (* (pow beta 2) i)) alpha)) (pow beta 2)) alpha)) (* -1 (/ (pow beta 2) i))) alpha)) |
(/ beta (* alpha i)) |
(* -1 (/ (+ (* -1 (/ beta i)) (/ beta alpha)) alpha)) |
(* -1 (/ (+ (* -1 (/ beta i)) (* -1 (/ (- (/ (* beta i) alpha) beta) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ beta i)) (* -1 (/ (- (* -1 (/ (- (/ (* beta (pow i 2)) alpha) (* beta i)) alpha)) beta) 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))) (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)) |
i |
(+ i (* -1 (/ (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i))))) alpha))) |
(+ i (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i)))))) alpha))) (* -1 (* i (+ beta (* 2 i))))) alpha))) |
(+ i (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (- (* -1 (/ (* (pow (+ beta (* 2 i)) 2) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i)))))) alpha)) (* -1 (* (+ beta (* 2 i)) (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i)))))))) alpha))) (* -1 (* i (+ beta (* 2 i))))) alpha))) |
(/ alpha i) |
(* -1 (* alpha (- (* -1 (/ beta (* alpha i))) (/ 1 i)))) |
(* -1 (* alpha (- (* -1 (/ beta (* alpha i))) (/ 1 i)))) |
(* -1 (* alpha (- (* -1 (/ beta (* alpha i))) (/ 1 i)))) |
(* -1 (/ (+ (* -1 beta) (* -1 i)) (pow alpha 2))) |
(/ (+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (* -1 (* i (+ beta i))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i)))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (+ (* -1 (/ (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (- (* -1 (* i (+ beta i))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i))))) alpha)) (/ (* (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (- (pow (+ beta (* 2 i)) 2) 1))) (+ (* -1 beta) (* -1 i))) alpha))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i)))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (+ (* -1 beta) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ beta i))) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (- (pow (+ beta (* 2 i)) 2) 1))) (- (* -1 (* i (+ beta i))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i))))) alpha)) (+ (/ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (pow (+ beta (* 2 i)) 2) 1))) alpha) (/ (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (- (* -1 (* i (+ beta i))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i)))))) (* (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (- (pow (+ beta (* 2 i)) 2) 1))) (+ (* -1 beta) (* -1 i))))) alpha))) (+ (* -1 (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (- (* -1 (* i (+ beta i))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i)))))) (* (+ (* -2 (pow (+ beta (* 2 i)) 2)) (* -1 (- (pow (+ beta (* 2 i)) 2) 1))) (+ (* -1 beta) (* -1 i))))) alpha))) (* (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) (+ (* -1 beta) (* -1 i)))) alpha))) (pow alpha 2)) |
1/16 |
1/16 |
1/16 |
1/16 |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* 1/8 (/ (+ alpha beta) i)) |
(/ (+ (* 1/16 i) (* 1/8 (+ alpha beta))) i) |
(/ (+ (* 1/16 i) (* 1/8 (+ alpha beta))) i) |
(/ (+ (* 1/16 i) (* 1/8 (+ alpha beta))) i) |
(* 1/8 (/ beta i)) |
(/ (+ (* 1/16 i) (* 1/8 beta)) i) |
(/ (+ (* 1/16 i) (* 1/8 beta)) i) |
(/ (+ (* 1/16 i) (* 1/8 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))))) |
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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 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) |
(* i (+ alpha i)) |
(* i (+ alpha i)) |
(* i (+ alpha i)) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 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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(/ (* 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 i)) |
(/ (+ (* -1 (/ (* (pow beta 2) i) (pow alpha 2))) (/ (pow beta 2) alpha)) i) |
(/ (+ (* i (- (/ (* (pow beta 2) i) (pow alpha 3)) (/ (pow beta 2) (pow alpha 2)))) (/ (pow beta 2) alpha)) i) |
(/ (+ (* 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)) i) |
(/ beta (* alpha i)) |
(/ (+ (* -1 (/ (* beta i) (pow alpha 2))) (/ beta alpha)) i) |
(/ (+ (* i (- (/ (* beta i) (pow alpha 3)) (/ beta (pow alpha 2)))) (/ beta alpha)) i) |
(/ (+ (* i (- (* i (- (* -1 (/ (* beta i) (pow alpha 4))) (* -1 (/ beta (pow alpha 3))))) (/ beta (pow alpha 2)))) (/ beta alpha)) 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))))) |
(/ (pow i 2) (- (pow beta 2) 1)) |
(* (pow i 2) (+ (* -1 (* i (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1)))) |
(* (pow i 2) (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))))) (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1)))) |
(* (pow i 2) (+ (* i (- (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))) (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* -1 (/ (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (* 32 (/ 1 (* beta (pow (- (pow beta 2) 1) 2)))))))) (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))))) (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1)))) |
(/ 1 (- (pow beta 2) 1)) |
(+ (* -1 (* i (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1))) |
(+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))))) (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1))) |
(+ (* i (- (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))) (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* -1 (/ (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (* 32 (/ 1 (* beta (pow (- (pow beta 2) 1) 2)))))))) (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))))) (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1))) |
(/ (- (* 1/8 beta) (* 3/16 beta)) i) |
(/ (- (+ (* 1/8 beta) (* 1/8 i)) (* 3/16 beta)) i) |
(/ (- (+ (* 1/8 beta) (* 1/8 i)) (* 3/16 beta)) i) |
(/ (- (+ (* 1/8 beta) (* 1/8 i)) (* 3/16 beta)) i) |
(* 3/16 (/ beta i)) |
(* 3/16 (/ beta i)) |
(* 3/16 (/ beta i)) |
(* 3/16 (/ 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))))) |
i |
(* i (+ 1 (* -1 (/ i (+ alpha beta))))) |
(* i (+ 1 (* i (- (* 2 (/ i (pow (+ alpha beta) 2))) (/ 1 (+ alpha beta)))))) |
(* i (+ 1 (* i (- (* i (+ (* -4 (/ i (pow (+ alpha beta) 3))) (* 2 (/ 1 (pow (+ alpha beta) 2))))) (/ 1 (+ alpha beta)))))) |
(/ (+ alpha beta) i) |
(/ (+ alpha beta) i) |
(/ (+ alpha beta) i) |
(/ (+ alpha beta) i) |
(/ beta (pow i 2)) |
(/ beta (pow i 2)) |
(/ beta (pow i 2)) |
(/ beta (pow i 2)) |
(* (pow beta 2) (- (pow beta 2) 1)) |
(+ (* i (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* (pow beta 2) (- (pow beta 2) 1))) |
(+ (* i (+ (* 4 (* beta (- (pow beta 2) 1))) (+ (* 4 (pow beta 3)) (* i (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))) (* (pow beta 2) (- (pow beta 2) 1))) |
(+ (* i (+ (* 4 (* beta (- (pow beta 2) 1))) (+ (* 4 (pow beta 3)) (* i (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (+ (* 16 (pow beta 2)) (* 32 (* beta i))))))))) (* (pow beta 2) (- (pow beta 2) 1))) |
(/ i (- (pow beta 2) 1)) |
(* i (+ (* -1 (* i (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (/ 1 (* beta (- (pow beta 2) 1)))))) (/ 1 (- (pow beta 2) 1)))) |
(* i (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (/ 1 (* beta (- (pow beta 2) 1))))) (* beta (- (pow beta 2) 1)))) (* 12 (/ 1 (pow (- (pow beta 2) 1) 2)))))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (/ 1 (* beta (- (pow beta 2) 1)))))) (/ 1 (- (pow beta 2) 1)))) |
(* i (+ (* i (- (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (/ 1 (* beta (- (pow beta 2) 1))))) (* beta (- (pow beta 2) 1)))) (* 12 (/ 1 (pow (- (pow beta 2) 1) 2)))) (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2)))) (* beta (- (pow beta 2) 1)))) (+ (* -1 (/ (* (+ (* 4 beta) (* 8 beta)) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (/ 1 (* beta (- (pow beta 2) 1))))) (* beta (- (pow beta 2) 1)))) (* 8 (/ 1 (* beta (pow (- (pow beta 2) 1) 2)))))))) (+ (* -1 (/ (* (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (/ 1 (* beta (- (pow beta 2) 1))))) (* beta (- (pow beta 2) 1)))) (* 12 (/ 1 (pow (- (pow beta 2) 1) 2)))))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (/ 1 (* beta (- (pow beta 2) 1)))))) (/ 1 (- (pow beta 2) 1)))) |
(/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(+ (* i (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) |
(+ (* i (- (+ (* i (- (/ 1 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (+ (/ (* alpha (* beta (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))) (/ 1 (- (pow (+ alpha beta) 2) 1))) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) |
(+ (* i (- (+ (* i (- (+ (* -1 (* i (+ (* 8 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (/ 1 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (+ (/ (* alpha (* beta (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))))) (/ 1 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) (+ (/ (* alpha (* beta (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))))) (/ 1 (- (pow (+ alpha beta) 2) 1))) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) |
1/16 |
1/16 |
1/16 |
1/16 |
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))) |
(+ 1/16 (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* 1/8 (/ (+ alpha beta) i))) |
1/16 |
(+ 1/16 (* 1/8 (/ beta i))) |
(+ 1/16 (* 1/8 (/ beta i))) |
(+ 1/16 (* 1/8 (/ 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)))) |
(pow i 2) |
(* (pow i 2) (+ 1 (/ alpha i))) |
(* (pow i 2) (+ 1 (/ alpha i))) |
(* (pow i 2) (+ 1 (/ alpha i))) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(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))))))))) |
(/ (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) (pow i 2)) |
(/ (+ (* -1 (/ (* alpha (pow beta 2)) i)) (pow beta 2)) (pow i 2)) |
(/ (- (+ (/ (* (pow alpha 2) (pow beta 2)) (pow i 2)) (pow beta 2)) (/ (* alpha (pow beta 2)) i)) (pow i 2)) |
(/ (- (+ (* -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))) (pow i 2)) |
(/ beta (pow i 2)) |
(/ (+ beta (* -1 (/ (* alpha beta) i))) (pow i 2)) |
(/ (- (+ beta (/ (* (pow alpha 2) beta) (pow i 2))) (/ (* alpha beta) i)) (pow i 2)) |
(/ (- (+ beta (* -1 (/ (* (pow alpha 3) beta) (pow i 3)))) (+ (* -1 (/ (* (pow alpha 2) beta) (pow i 2))) (/ (* alpha beta) i))) (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 (/ (pow beta 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2)))) |
(- (+ 1/16 (+ (* -1 (/ (+ (* 1/256 (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* 2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))))) (pow i 3))) (* 1/16 (/ (pow beta 2) (pow i 2))))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2)))) |
(- (+ 1/16 (+ (* -1 (/ (+ (* -2 (* beta (+ (* 1/256 (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* 2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))))))) (+ (* 1/256 (* (pow beta 2) (- (pow beta 2) 1))) (* 1/16 (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))))) (pow i 4))) (* 1/16 (/ (pow beta 2) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))) (* 2 (/ (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))) (pow i 3)))))) |
(/ 1/16 (pow i 2)) |
(/ (- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2)))) (pow i 2)) |
(/ (- (+ 1/16 (+ (* -1 (/ (+ (* 1/256 (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* 2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))))) (pow i 3))) (* 1/16 (/ (pow beta 2) (pow i 2))))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2)))) (pow i 2)) |
(/ (- (+ 1/16 (+ (* -1 (/ (+ (* -2 (* beta (+ (* 1/256 (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* 2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))))))) (+ (* 1/256 (* (pow beta 2) (- (pow beta 2) 1))) (* 1/16 (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))))) (pow i 4))) (* 1/16 (/ (pow beta 2) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2))) (* 2 (/ (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))) (pow i 3)))))) (pow i 2)) |
1/8 |
(- (+ 1/8 (* 1/8 (/ beta i))) (* 3/16 (/ beta i))) |
(- (+ 1/8 (* 1/8 (/ beta i))) (* 3/16 (/ beta i))) |
(- (+ 1/8 (* 1/8 (/ beta i))) (* 3/16 (/ beta i))) |
(* 3/16 (/ beta i)) |
(* 3/16 (/ beta i)) |
(* 3/16 (/ beta i)) |
(* 3/16 (/ 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))))))))) |
(* 1/2 i) |
(* i (- (+ 1/2 (* 1/2 (/ (+ alpha beta) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* i (- (+ 1/2 (+ (* -1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2))) (* 1/2 (/ (+ alpha beta) i)))) (* 1/4 (/ (+ alpha beta) i)))) |
(* i (- (+ 1/2 (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 3))) (* 1/2 (/ (+ alpha beta) i)))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
(/ (+ alpha beta) i) |
(/ (+ alpha beta) i) |
(/ (+ alpha beta) i) |
(/ (+ alpha beta) i) |
(/ beta (pow i 2)) |
(/ beta (pow i 2)) |
(/ beta (pow i 2)) |
(/ beta (pow i 2)) |
(* 16 (pow i 4)) |
(* (pow i 4) (+ 16 (* 32 (/ beta i)))) |
(* (pow i 4) (+ 16 (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (+ (* 4 (/ (pow beta 2) (pow i 2))) (+ (* 16 (/ (pow beta 2) (pow i 2))) (* 32 (/ beta i))))))) |
(* (pow i 4) (+ 16 (+ (* 4 (/ (* beta (- (pow beta 2) 1)) (pow i 3))) (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (+ (* 4 (/ (pow beta 2) (pow i 2))) (+ (* 4 (/ (pow beta 3) (pow i 3))) (+ (* 16 (/ (pow beta 2) (pow i 2))) (* 32 (/ beta i))))))))) |
(/ 1/8 i) |
(/ (- (+ 1/8 (* 1/8 (/ beta i))) (* 1/64 (/ (+ (* 4 beta) (* 8 beta)) i))) i) |
(/ (- (+ 1/8 (+ (* -1 (/ (+ (* 1/64 (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2)))) (* 1/8 (* (+ (* 4 beta) (* 8 beta)) (- (* 1/8 beta) (* 1/64 (+ (* 4 beta) (* 8 beta))))))) (pow i 2))) (* 1/8 (/ beta i)))) (* 1/64 (/ (+ (* 4 beta) (* 8 beta)) i))) i) |
(/ (- (+ 1/8 (+ (* -1 (/ (+ (* -1/8 (* (+ (* 1/64 (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2)))) (* 1/8 (* (+ (* 4 beta) (* 8 beta)) (- (* 1/8 beta) (* 1/64 (+ (* 4 beta) (* 8 beta))))))) (+ (* 4 beta) (* 8 beta)))) (+ (* 1/64 (* beta (- (pow beta 2) 1))) (* 1/8 (* (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2))) (- (* 1/8 beta) (* 1/64 (+ (* 4 beta) (* 8 beta)))))))) (pow i 3))) (* 1/8 (/ beta i)))) (+ (* 1/64 (/ (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 beta) (* 8 beta)) i)) (* 1/8 (/ (* (+ (* 4 beta) (* 8 beta)) (- (* 1/8 beta) (* 1/64 (+ (* 4 beta) (* 8 beta))))) (pow i 2)))))) i) |
(/ 1/8 i) |
(/ (- (+ 1/8 (* 1/8 (/ (+ alpha beta) i))) (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i))) i) |
(/ (- (+ 1/8 (+ (* 1/8 (/ (* alpha beta) (pow i 2))) (* 1/8 (/ (+ alpha beta) i)))) (+ (* 1/64 (/ (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 2)))))) i) |
(/ (- (+ 1/8 (+ (* -1 (/ (+ (* 1/64 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (+ (* 1/8 (* (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))) (* 1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (* alpha beta)) (+ (* 1/64 (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2)))) (* 1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))))))))) (pow i 3))) (+ (* 1/8 (/ (* alpha beta) (pow i 2))) (* 1/8 (/ (+ alpha beta) i))))) (+ (* 1/64 (/ (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 2)))))) i) |
1/16 |
1/16 |
1/16 |
1/16 |
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))) |
(+ 1/16 (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* 1/8 (/ (+ alpha beta) i))) |
1/16 |
(+ 1/16 (* 1/8 (/ beta i))) |
(+ 1/16 (* 1/8 (/ beta i))) |
(+ 1/16 (* 1/8 (/ 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)))) |
(pow i 2) |
(* (pow i 2) (+ 1 (/ alpha i))) |
(* (pow i 2) (+ 1 (/ alpha i))) |
(* (pow i 2) (+ 1 (/ alpha i))) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
(pow i 2) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(/ (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) (pow i 2)) |
(/ (+ (* -1 (/ (* alpha (pow beta 2)) i)) (pow beta 2)) (pow i 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (* (pow alpha 2) (pow beta 2)) i)) (* alpha (pow beta 2))) i)) (pow beta 2)) (pow i 2)) |
(/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow alpha 3) (pow beta 2)) i)) (* (pow alpha 2) (pow beta 2))) i)) (* alpha (pow beta 2))) i)) (pow beta 2)) (pow i 2)) |
(/ beta (pow i 2)) |
(/ (+ beta (* -1 (/ (* alpha beta) i))) (pow i 2)) |
(/ (+ beta (* -1 (/ (+ (* -1 (/ (* (pow alpha 2) beta) i)) (* alpha beta)) i))) (pow i 2)) |
(/ (+ beta (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow alpha 3) beta) i)) (* (pow alpha 2) beta)) i)) (* alpha beta)) i))) (pow i 2)) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2)))) |
(- (+ 1/16 (+ (* -2 (/ (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))) (pow i 3))) (+ (* 1/256 (/ (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3))) (pow i 3))) (* 1/16 (/ (pow beta 2) (pow i 2)))))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2)))) |
(- (+ 1/16 (+ (* -1 (/ (- (+ (* 1/256 (/ (* (pow beta 2) (- (pow beta 2) 1)) i)) (+ (* 1/16 (/ (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))) i)) (* 2 (/ (* beta (+ (* -2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))) (* 1/256 (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3)))))) i)))) (+ (* -2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))) (* 1/256 (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3)))))) (pow i 3))) (* 1/16 (/ (pow beta 2) (pow i 2))))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2)))) |
(/ 1/16 (pow i 2)) |
(/ (- (+ 1/16 (* 1/16 (/ (pow beta 2) (pow i 2)))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2)))) (pow i 2)) |
(/ (- (+ 1/16 (+ (* -2 (/ (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))) (pow i 3))) (+ (* 1/256 (/ (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3))) (pow i 3))) (* 1/16 (/ (pow beta 2) (pow i 2)))))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2)))) (pow i 2)) |
(/ (- (+ 1/16 (+ (* -1 (/ (- (+ (* 1/256 (/ (* (pow beta 2) (- (pow beta 2) 1)) i)) (+ (* 1/16 (/ (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))))) i)) (* 2 (/ (* beta (+ (* -2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))) (* 1/256 (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3)))))) i)))) (+ (* -2 (* beta (- (* 1/16 (pow beta 2)) (* 1/256 (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))) (* 1/256 (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3)))))) (pow i 3))) (* 1/16 (/ (pow beta 2) (pow i 2))))) (* 1/256 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (pow i 2)))) (pow i 2)) |
1/8 |
(+ 1/8 (* -1 (/ (- (* -1/8 beta) (* -3/16 beta)) i))) |
(+ 1/8 (* -1 (/ (- (* -1/8 beta) (* -3/16 beta)) i))) |
(+ 1/8 (* -1 (/ (- (* -1/8 beta) (* -3/16 beta)) i))) |
(* 3/16 (/ beta i)) |
(* 3/16 (/ beta i)) |
(* 3/16 (/ beta i)) |
(* 3/16 (/ 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))) |
(* 1/2 i) |
(* -1 (* i (- (* -1/2 (/ (+ alpha beta) i)) (+ 1/2 (* -1/4 (/ (+ alpha beta) i)))))) |
(* -1 (* i (- (* -1 (/ (+ (* -1 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* 1/2 (/ (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) i))) i)) 1/2))) |
(* -1 (* i (- (* -1 (/ (+ (* -1 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* -1 (/ (+ (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) i))) i))) i)) 1/2))) |
(/ (+ alpha beta) i) |
(/ (+ alpha beta) i) |
(/ (+ alpha beta) i) |
(/ (+ alpha beta) i) |
(/ beta (pow i 2)) |
(/ beta (pow i 2)) |
(/ beta (pow i 2)) |
(/ beta (pow i 2)) |
(* 16 (pow i 4)) |
(* (pow i 4) (+ 16 (* 32 (/ beta i)))) |
(* (pow i 4) (+ 16 (* -1 (/ (+ (* -32 beta) (* -1 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) i))) i)))) |
(* (pow i 4) (+ 16 (* -1 (/ (+ (* -32 beta) (* -1 (/ (+ (* -1 (/ (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3))) i)) (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))) i))) i)))) |
(/ 1/8 i) |
(* -1 (/ (- (* -1/8 (/ beta i)) (+ 1/8 (* -1/64 (/ (+ (* 4 beta) (* 8 beta)) i)))) i)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (- (* -1/8 beta) (* -1/64 (+ (* 4 beta) (* 8 beta))))) (* -1 (/ (+ (* -1/8 (* (+ (* 4 beta) (* 8 beta)) (- (* -1/8 beta) (* -1/64 (+ (* 4 beta) (* 8 beta)))))) (* -1/64 (+ (* -4 (pow beta 2)) (* -2 (- (pow beta 2) 1))))) i))) i)) 1/8) i)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (- (* -1/8 beta) (* -1/64 (+ (* 4 beta) (* 8 beta))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (+ (* -4 (pow beta 2)) (* -2 (- (pow beta 2) 1))) (- (* -1/8 beta) (* -1/64 (+ (* 4 beta) (* 8 beta)))))) (+ (* -1/64 (* beta (- (pow beta 2) 1))) (* 1/8 (* (+ (* -1/8 (* (+ (* 4 beta) (* 8 beta)) (- (* -1/8 beta) (* -1/64 (+ (* 4 beta) (* 8 beta)))))) (* -1/64 (+ (* -4 (pow beta 2)) (* -2 (- (pow beta 2) 1))))) (+ (* 4 beta) (* 8 beta)))))) i)) (+ (* -1/8 (* (+ (* 4 beta) (* 8 beta)) (- (* -1/8 beta) (* -1/64 (+ (* 4 beta) (* 8 beta)))))) (* -1/64 (+ (* -4 (pow beta 2)) (* -2 (- (pow beta 2) 1)))))) i))) i)) 1/8) i)) |
(/ 1/8 i) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) i)) 1/8) i)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/8 (* alpha beta)) (+ (* -1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))) (* 1/64 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1)))))) i)) (* 1/8 (+ alpha beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) i)) 1/8) i)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (* alpha beta)) (+ (* -1/8 (/ (* (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) i)) (+ (* -1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* -1/8 (* alpha beta)) (+ (* -1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))) (* 1/64 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1))))))) i)) (* 1/64 (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)) i))))) (+ (* -1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))) (* 1/64 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1)))))) i)) (* 1/8 (+ alpha beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) i)) 1/8) i)) |
| Outputs |
|---|
1/16 |
#s(literal 1/16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
(*.f64 (*.f64 i i) (/.f64 (*.f64 (+.f64 alpha i) (+.f64 alpha i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha))))) |
(+ (* 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) (+.f64 alpha i) (*.f64 (+.f64 alpha i) i)) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))) (*.f64 (+.f64 alpha i) (+.f64 alpha i))) (*.f64 i i)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))))) beta (*.f64 (*.f64 i i) (/.f64 (*.f64 (+.f64 alpha i) (+.f64 alpha i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 2 binary64) i alpha)))))) |
(+ (* 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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(* 1/4 (/ (pow i 2) (- (* 4 (pow i 2)) 1))) |
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(/ 1/4 (- (* 4 (pow i 2)) 1)) |
(/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))) |
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(+ (* beta (- (+ (* 1/2 (/ 1 (* i (- (* 4 (pow i 2)) 1)))) (* beta (- (* 1/4 (/ 1 (* (pow i 2) (- (* 4 (pow i 2)) 1)))) (+ (* 1/16 (/ (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1) (* (pow i 2) (pow (- (* 4 (pow i 2)) 1) 2)))) (* 1/4 (/ (* (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (- (* 1/2 (/ 1 (* i (- (* 4 (pow i 2)) 1)))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (* (pow i 2) (pow (- (* 4 (pow i 2)) 1) 2)))))) (* (pow i 2) (- (* 4 (pow i 2)) 1)))))))) (* 1/16 (/ (+ (* 4 (* i (- (* 4 (pow i 2)) 1))) (* 16 (pow i 3))) (* (pow i 2) (pow (- (* 4 (pow i 2)) 1) 2)))))) (* 1/4 (/ 1 (- (* 4 (pow i 2)) 1)))) |
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1/8 |
#s(literal 1/8 binary64) |
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(fma.f64 #s(literal -1/16 binary64) (/.f64 beta i) #s(literal 1/8 binary64)) |
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(/ (* i (+ alpha i)) (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) |
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#s(literal 1/16 binary64) |
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(/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 beta beta)) |
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(*.f64 (neg.f64 beta) (-.f64 (/.f64 (neg.f64 alpha) (*.f64 beta i)) (/.f64 #s(literal 1 binary64) i))) |
(pow beta 2) |
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(pow beta 2) |
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(pow beta 2) |
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(/ beta (pow i 2)) |
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(/ beta (pow i 2)) |
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(/ beta (pow i 2)) |
(/.f64 beta (*.f64 i i)) |
(/ beta (pow i 2)) |
(/.f64 beta (*.f64 i i)) |
(pow beta 4) |
(pow.f64 beta #s(literal 4 binary64)) |
(* (pow beta 4) (+ 1 (* 8 (/ i beta)))) |
(*.f64 (fma.f64 (/.f64 i beta) #s(literal 8 binary64) #s(literal 1 binary64)) (pow.f64 beta #s(literal 4 binary64))) |
(* (pow beta 4) (+ 1 (* -1 (/ (+ (* -8 i) (* -1 (/ (- (+ (* 8 (pow i 2)) (* 16 (pow i 2))) 1) beta))) beta)))) |
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(* (pow beta 4) (+ 1 (* -1 (/ (+ (* -8 i) (* -1 (/ (- (+ (* -1 (/ (+ (* -16 (pow i 3)) (* -4 (* i (- (* 4 (pow i 2)) 1)))) beta)) (+ (* 8 (pow i 2)) (* 16 (pow i 2)))) 1) beta))) beta)))) |
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(/ i (pow beta 2)) |
(/.f64 i (*.f64 beta beta)) |
(/ (+ i (* -1 (/ (- (* -1 (pow i 2)) (* -1 (* i (+ (* 2 i) (* 4 i))))) beta))) (pow beta 2)) |
(/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 i i)) (*.f64 (neg.f64 i) (*.f64 i #s(literal 6 binary64)))) beta)) i) (*.f64 beta beta)) |
(/ (+ i (* -1 (/ (- (+ (* -1 (/ (* i (+ (* -8 (pow i 2)) (* -1 (- (* 4 (pow i 2)) 1)))) beta)) (+ (* -1 (/ (* (+ (* 2 i) (* 4 i)) (- (* -1 (pow i 2)) (* -1 (* i (+ (* 2 i) (* 4 i)))))) beta)) (* -1 (pow i 2)))) (* -1 (* i (+ (* 2 i) (* 4 i))))) beta))) (pow beta 2)) |
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(/ (+ i (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (pow i 2) (- (* 4 (pow i 2)) 1)) beta)) (+ (* -1 (/ (* (+ (* -8 (pow i 2)) (* -1 (- (* 4 (pow i 2)) 1))) (- (* -1 (pow i 2)) (* -1 (* i (+ (* 2 i) (* 4 i)))))) beta)) (/ (* (+ (* -1 (* i (+ (* -8 (pow i 2)) (* -1 (- (* 4 (pow i 2)) 1))))) (* -1 (* (+ (* 2 i) (* 4 i)) (- (* -1 (pow i 2)) (* -1 (* i (+ (* 2 i) (* 4 i)))))))) (+ (* 2 i) (* 4 i))) beta))) (+ (* -1 (* i (+ (* -8 (pow i 2)) (* -1 (- (* 4 (pow i 2)) 1))))) (* -1 (* (+ (* 2 i) (* 4 i)) (- (* -1 (pow i 2)) (* -1 (* i (+ (* 2 i) (* 4 i))))))))) beta)) (* -1 (pow i 2))) (* -1 (* i (+ (* 2 i) (* 4 i))))) beta))) (pow beta 2)) |
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(* -1 (/ (+ (* -1 alpha) (* -1 i)) (pow beta 2))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 i) (neg.f64 alpha))) (*.f64 beta beta)) |
(/ (+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (* -1 (* i (+ alpha i))) (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))) beta))) (pow beta 2)) |
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(/ (+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (+ (* -1 (/ (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (- (* -1 (* i (+ alpha i))) (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i))))) beta)) (/ (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (* -1 alpha) (* -1 i))) beta))) (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))) beta))) (pow beta 2)) |
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(/ (+ (* -1 (+ (* -1 alpha) (* -1 i))) (* -1 (/ (- (+ (* -1 (* i (+ alpha i))) (* -1 (/ (- (+ (* -1 (/ (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (- (* -1 (* i (+ alpha i))) (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i))))) beta)) (+ (/ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) beta) (/ (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (- (* -1 (* i (+ alpha i))) (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))))) (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (* -1 alpha) (* -1 i))))) beta))) (+ (* -1 (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (- (* -1 (* i (+ alpha i))) (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))))) (* (+ (* -2 (pow (+ alpha (* 2 i)) 2)) (* -1 (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (* -1 alpha) (* -1 i))))) beta))) (* (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) (+ (* -1 alpha) (* -1 i)))) beta))) (pow beta 2)) |
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1/16 |
#s(literal 1/16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
(*.f64 (*.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))) |
(+ (* 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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(+ 1/16 (* 1/8 (/ beta i))) |
(fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (* 1/8 (/ alpha i)) (* 1/8 (/ beta i)))) |
(fma.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 beta i) (/.f64 alpha i)) #s(literal 1/16 binary64)) |
(+ 1/16 (+ (* 1/8 (/ alpha i)) (* 1/8 (/ beta i)))) |
(fma.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 beta i) (/.f64 alpha i)) #s(literal 1/16 binary64)) |
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(fma.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 beta i) (/.f64 alpha i)) #s(literal 1/16 binary64)) |
(/ (* (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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(/ (pow i 2) (pow beta 2)) |
(/.f64 (*.f64 i i) (*.f64 beta beta)) |
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(pow i 2) |
(*.f64 i i) |
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#s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) (/.f64 (*.f64 (*.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (fma.f64 #s(literal 4 binary64) i (*.f64 beta #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 beta i) (+.f64 beta i))) (*.f64 i i)) (*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))))) alpha (-.f64 (/.f64 (*.f64 (fma.f64 (+.f64 beta i) (+.f64 beta i) (*.f64 (+.f64 beta i) i)) i) (*.f64 (fma.f64 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i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))))) |
(/ (pow i 2) (pow beta 2)) |
(/.f64 (*.f64 i i) (*.f64 beta beta)) |
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2))) |
(fma.f64 alpha (/.f64 i (*.f64 beta beta)) (/.f64 (*.f64 i i) (*.f64 beta beta))) |
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2))) |
(fma.f64 alpha (/.f64 i (*.f64 beta beta)) (/.f64 (*.f64 i i) (*.f64 beta beta))) |
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2))) |
(fma.f64 alpha (/.f64 i (*.f64 beta beta)) (/.f64 (*.f64 i i) (*.f64 beta beta))) |
(/ (pow beta 2) (pow i 2)) |
(/.f64 (*.f64 beta beta) (*.f64 i i)) |
(+ (* -1 (/ (* alpha (pow beta 2)) (pow i 3))) (/ (pow beta 2) (pow i 2))) |
(+.f64 (neg.f64 (/.f64 (*.f64 (*.f64 beta beta) alpha) (*.f64 (*.f64 i i) i))) (/.f64 (*.f64 beta beta) (*.f64 i i))) |
(+ (* alpha (- (/ (* alpha (pow beta 2)) (pow i 4)) (/ (pow beta 2) (pow i 3)))) (/ (pow beta 2) (pow i 2))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 beta beta) alpha) (pow.f64 i #s(literal 4 binary64))) (/.f64 (*.f64 beta beta) (*.f64 (*.f64 i i) i))) alpha (/.f64 (*.f64 beta beta) (*.f64 i i))) |
(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha (pow beta 2)) (pow i 5))) (* -1 (/ (pow beta 2) (pow i 4))))) (/ (pow beta 2) (pow i 3)))) (/ (pow beta 2) (pow i 2))) |
(fma.f64 (fma.f64 (-.f64 (neg.f64 (/.f64 (*.f64 (*.f64 beta beta) alpha) (pow.f64 i #s(literal 5 binary64)))) (neg.f64 (/.f64 (*.f64 beta beta) (pow.f64 i #s(literal 4 binary64))))) alpha (neg.f64 (/.f64 (*.f64 beta beta) (*.f64 (*.f64 i i) i)))) alpha (/.f64 (*.f64 beta beta) (*.f64 i i))) |
(/ beta (pow i 2)) |
(/.f64 beta (*.f64 i i)) |
(+ (* -1 (/ (* alpha beta) (pow i 3))) (/ beta (pow i 2))) |
(+.f64 (/.f64 (*.f64 (neg.f64 alpha) beta) (*.f64 (*.f64 i i) i)) (/.f64 beta (*.f64 i i))) |
(+ (* alpha (- (/ (* alpha beta) (pow i 4)) (/ beta (pow i 3)))) (/ beta (pow i 2))) |
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(+ (* alpha (- (* alpha (- (* -1 (/ (* alpha beta) (pow i 5))) (* -1 (/ beta (pow i 4))))) (/ beta (pow i 3)))) (/ beta (pow i 2))) |
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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
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(+ (* 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 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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(/ (* i (+ beta i)) (+ beta (* 2 i))) |
(/.f64 (*.f64 (+.f64 beta i) i) (fma.f64 #s(literal 2 binary64) i beta)) |
(+ (* alpha (- (/ i (+ beta (* 2 i))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i)))) |
(fma.f64 (-.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) alpha (/.f64 (*.f64 (+.f64 beta i) i) (fma.f64 #s(literal 2 binary64) i beta))) |
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 3)) (/ i (pow (+ beta (* 2 i)) 2)))) (/ i (+ beta (* 2 i)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i)))) |
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(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ i (pow (+ beta (* 2 i)) 3)) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 4)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 3))) (/ i (pow (+ beta (* 2 i)) 2)))) (/ i (+ beta (* 2 i)))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)))) (/ (* i (+ beta i)) (+ beta (* 2 i)))) |
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(/ beta i) |
(/.f64 beta i) |
(+ (/ alpha i) (/ beta i)) |
(+.f64 (/.f64 beta i) (/.f64 alpha i)) |
(+ (/ alpha i) (/ beta i)) |
(+.f64 (/.f64 beta i) (/.f64 alpha i)) |
(+ (/ alpha i) (/ beta i)) |
(+.f64 (/.f64 beta i) (/.f64 alpha i)) |
(/ (* i (+ beta i)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) |
(/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) i beta))) |
(+ (* alpha (- (+ (/ beta (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (/ i (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* i (+ beta i)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* i (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (/ (* (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1) (- (+ (/ beta (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (/ i (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))))) (+ (/ beta (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (/ i (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))))) (/ (* i (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* i (+ beta i)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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(+ (* alpha (- (+ (* alpha (- (* -1 (* alpha (+ (* -1 (/ (* (+ (/ (* i (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (/ (* (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1) (- (+ (/ beta (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (/ i (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (+ (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (/ (* (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) (- (+ (/ beta (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (/ i (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))))))) (+ (/ (* i (* (+ beta i) (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))) (/ (* (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1) (- (+ (/ beta (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (/ i (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* i (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))))) (+ (/ beta (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (/ i (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))))) (/ (* i (* (+ beta i) (- (+ (* (+ beta (* 2 i)) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* i (+ beta i)) (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1)))) |
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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 (/ (- (+ (* -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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i |
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(/ alpha i) |
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(* -1 (/ (+ (* -1 beta) (* -1 i)) (pow alpha 2))) |
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1/16 |
#s(literal 1/16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
1/16 |
#s(literal 1/16 binary64) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(/.f64 (*.f64 (*.f64 beta alpha) i) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #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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(* 1/8 (/ (+ alpha beta) i)) |
(*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)) |
(/ (+ (* 1/16 i) (* 1/8 (+ alpha beta))) i) |
(/.f64 (fma.f64 (+.f64 beta alpha) #s(literal 1/8 binary64) (*.f64 i #s(literal 1/16 binary64))) i) |
(/ (+ (* 1/16 i) (* 1/8 (+ alpha beta))) i) |
(/.f64 (fma.f64 (+.f64 beta alpha) #s(literal 1/8 binary64) (*.f64 i #s(literal 1/16 binary64))) i) |
(/ (+ (* 1/16 i) (* 1/8 (+ alpha beta))) i) |
(/.f64 (fma.f64 (+.f64 beta alpha) #s(literal 1/8 binary64) (*.f64 i #s(literal 1/16 binary64))) i) |
(* 1/8 (/ beta i)) |
(*.f64 (/.f64 beta i) #s(literal 1/8 binary64)) |
(/ (+ (* 1/16 i) (* 1/8 beta)) i) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) beta (*.f64 i #s(literal 1/16 binary64))) i) |
(/ (+ (* 1/16 i) (* 1/8 beta)) i) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) beta (*.f64 i #s(literal 1/16 binary64))) i) |
(/ (+ (* 1/16 i) (* 1/8 beta)) i) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) beta (*.f64 i #s(literal 1/16 binary64))) i) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(/.f64 (*.f64 (*.f64 beta alpha) i) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #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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(fma.f64 alpha (/.f64 beta (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) beta) alpha) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))))) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 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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 alpha (*.f64 beta beta)) (/.f64 i (*.f64 beta beta))) i) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(*.f64 (+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 i (*.f64 beta beta))) i) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(*.f64 (+.f64 (/.f64 alpha (*.f64 beta beta)) (/.f64 i (*.f64 beta beta))) i) |
(* 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) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(pow i 2) |
(*.f64 i i) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(/.f64 (*.f64 (*.f64 beta alpha) i) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #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))))) (+ (/ (* 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 alpha (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 beta (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))))) (fma.f64 alpha (/.f64 (*.f64 (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64))) beta) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) (/.f64 (*.f64 (-.f64 (fma.f64 alpha (/.f64 beta (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) beta) alpha) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))))) (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))))) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))))) i (-.f64 (fma.f64 alpha (/.f64 beta (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) beta) alpha) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))))) i (/.f64 (*.f64 beta alpha) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.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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(fma.f64 alpha (/.f64 beta (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) beta) alpha) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))))) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 alpha (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 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(+.f64 beta alpha)) (+.f64 beta alpha)))) beta) alpha) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))))) (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))))) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))))) i (-.f64 (fma.f64 alpha (/.f64 beta (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) beta) alpha) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))))) i (/.f64 (*.f64 beta alpha) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha)))) i) |
(/ (pow i 2) (- (pow beta 2) 1)) |
(/.f64 (*.f64 i i) (fma.f64 beta beta #s(literal -1 binary64))) |
(* (pow i 2) (+ (* -1 (* i (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1)))) |
(*.f64 (fma.f64 (neg.f64 i) (fma.f64 (/.f64 beta (*.f64 (fma.f64 beta beta #s(literal -1 binary64)) (fma.f64 beta beta #s(literal -1 binary64)))) #s(literal 4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (fma.f64 beta beta #s(literal -1 binary64)) beta))) (/.f64 #s(literal 1 binary64) (fma.f64 beta beta #s(literal -1 binary64)))) (*.f64 i i)) |
(* (pow i 2) (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))))) (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1)))) |
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(* (pow i 2) (+ (* i (- (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))) (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* -1 (/ (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (* 32 (/ 1 (* beta (pow (- (pow beta 2) 1) 2)))))))) (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))))) (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1)))) |
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(/ 1 (- (pow beta 2) 1)) |
(/.f64 #s(literal 1 binary64) (fma.f64 beta beta #s(literal -1 binary64))) |
(+ (* -1 (* i (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1))) |
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(+ (* i (- (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))) (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* -1 (/ (* (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (* 32 (/ 1 (* beta (pow (- (pow beta 2) 1) 2)))))))) (+ (* -1 (/ (* (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (* 2 (/ 1 (* beta (- (pow beta 2) 1)))))) (* (pow beta 2) (- (pow beta 2) 1)))) (+ (* 3 (/ 1 (* (pow beta 2) (- (pow beta 2) 1)))) (* 20 (/ 1 (pow (- (pow beta 2) 1) 2))))))) (+ (* 2 (/ 1 (* beta (- (pow beta 2) 1)))) (* 4 (/ beta (pow (- (pow beta 2) 1) 2)))))) (/ 1 (- (pow beta 2) 1))) |
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(/ (- (* 1/8 beta) (* 3/16 beta)) i) |
(/.f64 (*.f64 beta #s(literal -1/16 binary64)) i) |
(/ (- (+ (* 1/8 beta) (* 1/8 i)) (* 3/16 beta)) i) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (+.f64 beta i) (*.f64 #s(literal -3/16 binary64) beta)) i) |
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(/.f64 (fma.f64 #s(literal 1/8 binary64) (+.f64 beta i) (*.f64 #s(literal -3/16 binary64) beta)) i) |
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(/.f64 (fma.f64 #s(literal 1/8 binary64) (+.f64 beta i) (*.f64 #s(literal -3/16 binary64) beta)) i) |
(* 3/16 (/ beta i)) |
(*.f64 #s(literal 3/16 binary64) (/.f64 beta i)) |
(* 3/16 (/ beta i)) |
(*.f64 #s(literal 3/16 binary64) (/.f64 beta i)) |
(* 3/16 (/ beta i)) |
(*.f64 #s(literal 3/16 binary64) (/.f64 beta i)) |
(* 3/16 (/ beta i)) |
(*.f64 #s(literal 3/16 binary64) (/.f64 beta i)) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(/.f64 (*.f64 (*.f64 beta alpha) i) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #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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i |
(* i (+ 1 (* -1 (/ i (+ alpha beta))))) |
(*.f64 (+.f64 (/.f64 (neg.f64 i) (+.f64 beta alpha)) #s(literal 1 binary64)) i) |
(* i (+ 1 (* i (- (* 2 (/ i (pow (+ alpha beta) 2))) (/ 1 (+ alpha beta)))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 i (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta alpha))) i #s(literal 1 binary64)) i) |
(* i (+ 1 (* i (- (* i (+ (* -4 (/ i (pow (+ alpha beta) 3))) (* 2 (/ 1 (pow (+ alpha beta) 2))))) (/ 1 (+ alpha beta)))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 (/.f64 i (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha))) #s(literal -4 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) i) (/.f64 #s(literal 1 binary64) (+.f64 beta alpha))) i #s(literal 1 binary64)) i) |
(/ (+ alpha beta) i) |
(/.f64 (+.f64 beta alpha) i) |
(/ (+ alpha beta) i) |
(/.f64 (+.f64 beta alpha) i) |
(/ (+ alpha beta) i) |
(/.f64 (+.f64 beta alpha) i) |
(/ (+ alpha beta) i) |
(/.f64 (+.f64 beta alpha) i) |
(/ beta (pow i 2)) |
(/.f64 beta (*.f64 i i)) |
(/ beta (pow i 2)) |
(/.f64 beta (*.f64 i i)) |
(/ beta (pow i 2)) |
(/.f64 beta (*.f64 i i)) |
(/ beta (pow i 2)) |
(/.f64 beta (*.f64 i i)) |
(* (pow beta 2) (- (pow beta 2) 1)) |
(*.f64 (fma.f64 beta beta #s(literal -1 binary64)) (*.f64 beta beta)) |
(+ (* i (+ (* 4 (* beta (- (pow beta 2) 1))) (* 4 (pow beta 3)))) (* (pow beta 2) (- (pow beta 2) 1))) |
(fma.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) beta (*.f64 (*.f64 beta beta) beta))) i (*.f64 (fma.f64 beta beta #s(literal -1 binary64)) (*.f64 beta beta))) |
(+ (* i (+ (* 4 (* beta (- (pow beta 2) 1))) (+ (* 4 (pow beta 3)) (* i (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))))))) (* (pow beta 2) (- (pow beta 2) 1))) |
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(+ (* i (+ (* 4 (* beta (- (pow beta 2) 1))) (+ (* 4 (pow beta 3)) (* i (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (+ (* 16 (pow beta 2)) (* 32 (* beta i))))))))) (* (pow beta 2) (- (pow beta 2) 1))) |
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(/ i (- (pow beta 2) 1)) |
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(* i (+ (* -1 (* i (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (/ 1 (* beta (- (pow beta 2) 1)))))) (/ 1 (- (pow beta 2) 1)))) |
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(* i (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (/ 1 (* beta (- (pow beta 2) 1))))) (* beta (- (pow beta 2) 1)))) (* 12 (/ 1 (pow (- (pow beta 2) 1) 2)))))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (/ 1 (* beta (- (pow beta 2) 1)))))) (/ 1 (- (pow beta 2) 1)))) |
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(* i (+ (* i (- (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (/ 1 (* beta (- (pow beta 2) 1))))) (* beta (- (pow beta 2) 1)))) (* 12 (/ 1 (pow (- (pow beta 2) 1) 2)))) (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2)))) (* beta (- (pow beta 2) 1)))) (+ (* -1 (/ (* (+ (* 4 beta) (* 8 beta)) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (/ 1 (* beta (- (pow beta 2) 1))))) (* beta (- (pow beta 2) 1)))) (* 8 (/ 1 (* beta (pow (- (pow beta 2) 1) 2)))))))) (+ (* -1 (/ (* (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (/ 1 (* beta (- (pow beta 2) 1))))) (* beta (- (pow beta 2) 1)))) (* 12 (/ 1 (pow (- (pow beta 2) 1) 2)))))) (+ (* 4 (/ beta (pow (- (pow beta 2) 1) 2))) (/ 1 (* beta (- (pow beta 2) 1)))))) (/ 1 (- (pow beta 2) 1)))) |
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(/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(/.f64 (*.f64 beta alpha) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha))) |
(+ (* i (- (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha (* beta (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))))) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 4 binary64))) beta) alpha) (*.f64 (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64))) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))))) i (/.f64 (*.f64 beta alpha) (*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha)))) |
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#s(literal 1/16 binary64) |
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(* 3/16 (/ beta i)) |
(*.f64 #s(literal 3/16 binary64) (/.f64 beta i)) |
(* 3/16 (/ beta i)) |
(*.f64 #s(literal 3/16 binary64) (/.f64 beta i)) |
1/16 |
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(- (+ 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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(* 1/2 i) |
(*.f64 #s(literal 1/2 binary64) i) |
(* i (- (+ 1/2 (* 1/2 (/ (+ alpha beta) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(*.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/4 binary64))) i) |
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(* i (- (+ 1/2 (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 3))) (* 1/2 (/ (+ alpha beta) i)))) (+ (* 1/4 (/ (+ alpha beta) i)) (* 1/2 (/ (* (+ alpha beta) (- (* 1/2 (+ alpha beta)) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
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(/ (+ alpha beta) i) |
(/.f64 (+.f64 beta alpha) i) |
(/ (+ alpha beta) i) |
(/.f64 (+.f64 beta alpha) i) |
(/ (+ alpha beta) i) |
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(/ (+ alpha beta) i) |
(/.f64 (+.f64 beta alpha) i) |
(/ beta (pow i 2)) |
(/.f64 beta (*.f64 i i)) |
(/ beta (pow i 2)) |
(/.f64 beta (*.f64 i i)) |
(/ beta (pow i 2)) |
(/.f64 beta (*.f64 i i)) |
(/ beta (pow i 2)) |
(/.f64 beta (*.f64 i i)) |
(* 16 (pow i 4)) |
(*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) |
(* (pow i 4) (+ 16 (* 32 (/ beta i)))) |
(*.f64 (fma.f64 #s(literal 32 binary64) (/.f64 beta i) #s(literal 16 binary64)) (pow.f64 i #s(literal 4 binary64))) |
(* (pow i 4) (+ 16 (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (+ (* 4 (/ (pow beta 2) (pow i 2))) (+ (* 16 (/ (pow beta 2) (pow i 2))) (* 32 (/ beta i))))))) |
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(* (pow i 4) (+ 16 (+ (* 4 (/ (* beta (- (pow beta 2) 1)) (pow i 3))) (+ (* 4 (/ (- (pow beta 2) 1) (pow i 2))) (+ (* 4 (/ (pow beta 2) (pow i 2))) (+ (* 4 (/ (pow beta 3) (pow i 3))) (+ (* 16 (/ (pow beta 2) (pow i 2))) (* 32 (/ beta i))))))))) |
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(/ 1/8 i) |
(/.f64 #s(literal 1/8 binary64) i) |
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(/ (- (+ 1/8 (+ (* -1 (/ (+ (* 1/64 (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2)))) (* 1/8 (* (+ (* 4 beta) (* 8 beta)) (- (* 1/8 beta) (* 1/64 (+ (* 4 beta) (* 8 beta))))))) (pow i 2))) (* 1/8 (/ beta i)))) (* 1/64 (/ (+ (* 4 beta) (* 8 beta)) i))) i) |
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(/ (- (+ 1/8 (+ (* -1 (/ (+ (* -1/8 (* (+ (* 1/64 (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2)))) (* 1/8 (* (+ (* 4 beta) (* 8 beta)) (- (* 1/8 beta) (* 1/64 (+ (* 4 beta) (* 8 beta))))))) (+ (* 4 beta) (* 8 beta)))) (+ (* 1/64 (* beta (- (pow beta 2) 1))) (* 1/8 (* (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2))) (- (* 1/8 beta) (* 1/64 (+ (* 4 beta) (* 8 beta)))))))) (pow i 3))) (* 1/8 (/ beta i)))) (+ (* 1/64 (/ (+ (* 2 (- (pow beta 2) 1)) (* 4 (pow beta 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 beta) (* 8 beta)) i)) (* 1/8 (/ (* (+ (* 4 beta) (* 8 beta)) (- (* 1/8 beta) (* 1/64 (+ (* 4 beta) (* 8 beta))))) (pow i 2)))))) i) |
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(/ 1/8 i) |
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(/ (- (+ 1/8 (+ (* 1/8 (/ (* alpha beta) (pow i 2))) (* 1/8 (/ (+ alpha beta) i)))) (+ (* 1/64 (/ (+ (* 2 (- (pow (+ alpha beta) 2) 1)) (* 4 (pow (+ alpha beta) 2))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) i)) (* 1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) (pow i 2)))))) i) |
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1/16 |
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1/16 |
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(pow i 2) |
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1/16 |
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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)))) |
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(/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 beta alpha (neg.f64 (/.f64 (*.f64 (*.f64 alpha alpha) beta) i))) i)) beta) (*.f64 i i)) |
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#s(literal 1/16 binary64) |
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1/16 |
#s(literal 1/16 binary64) |
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1/8 |
#s(literal 1/8 binary64) |
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1/16 |
#s(literal 1/16 binary64) |
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(+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (neg.f64 alpha) beta (neg.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) i) #s(literal 1/16 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1/16 binary64) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))))) (fma.f64 (/.f64 (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64))) i) #s(literal -1/256 binary64) (/.f64 (*.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 #s(literal -1/8 binary64) (+.f64 beta alpha)))) i))) i)) #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))) |
(+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta alpha) beta) alpha) i) #s(literal 1/16 binary64) (neg.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 alpha) beta (neg.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) #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 #s(literal -1/8 binary64) (+.f64 beta alpha))) (*.f64 #s(literal -1/256 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64)))))))) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 alpha) beta (neg.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) #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 #s(literal -1/8 binary64) (+.f64 beta alpha))) (*.f64 #s(literal -1/256 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64)))))) (+.f64 beta alpha)) i) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1/16 binary64) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64)))) i) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 #s(literal -4 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) (+.f64 beta alpha) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta alpha)))) i) #s(literal -1/256 binary64))))) i)) (neg.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1/16 binary64) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))))) i)) #s(literal 1/16 binary64)) |
(* 1/2 i) |
(*.f64 #s(literal 1/2 binary64) i) |
(* -1 (* i (- (* -1/2 (/ (+ alpha beta) i)) (+ 1/2 (* -1/4 (/ (+ alpha beta) i)))))) |
(*.f64 (neg.f64 i) (-.f64 (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 beta alpha) i) #s(literal 1/2 binary64)))) |
(* -1 (* i (- (* -1 (/ (+ (* -1 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* 1/2 (/ (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) i))) i)) 1/2))) |
(*.f64 (neg.f64 i) (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 (+.f64 beta alpha) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 beta alpha) i))) #s(literal 1/2 binary64) (neg.f64 (*.f64 #s(literal -1/4 binary64) (+.f64 beta alpha)))) i)) #s(literal 1/2 binary64))) |
(* -1 (* i (- (* -1 (/ (+ (* -1 (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) (* -1 (/ (+ (* -1/2 (* (+ alpha beta) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta))))) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* -1/2 (+ alpha beta)) (* -1/4 (+ alpha beta)))) i))) i))) i)) 1/2))) |
(*.f64 (neg.f64 i) (-.f64 (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/4 binary64) (+.f64 beta alpha) (/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (*.f64 #s(literal -1/4 binary64) (/.f64 (+.f64 beta alpha) i))) #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/4 binary64) (+.f64 beta alpha)))) i))) i)) #s(literal 1/2 binary64))) |
(/ (+ alpha beta) i) |
(/.f64 (+.f64 beta alpha) i) |
(/ (+ alpha beta) i) |
(/.f64 (+.f64 beta alpha) i) |
(/ (+ alpha beta) i) |
(/.f64 (+.f64 beta alpha) i) |
(/ (+ alpha beta) i) |
(/.f64 (+.f64 beta alpha) i) |
(/ beta (pow i 2)) |
(/.f64 beta (*.f64 i i)) |
(/ beta (pow i 2)) |
(/.f64 beta (*.f64 i i)) |
(/ beta (pow i 2)) |
(/.f64 beta (*.f64 i i)) |
(/ beta (pow i 2)) |
(/.f64 beta (*.f64 i i)) |
(* 16 (pow i 4)) |
(*.f64 (pow.f64 i #s(literal 4 binary64)) #s(literal 16 binary64)) |
(* (pow i 4) (+ 16 (* 32 (/ beta i)))) |
(*.f64 (fma.f64 #s(literal 32 binary64) (/.f64 beta i) #s(literal 16 binary64)) (pow.f64 i #s(literal 4 binary64))) |
(* (pow i 4) (+ 16 (* -1 (/ (+ (* -32 beta) (* -1 (/ (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2)))) i))) i)))) |
(*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -32 binary64) beta (neg.f64 (/.f64 (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 beta beta) #s(literal 20 binary64))) i))) i)) #s(literal 16 binary64)) (pow.f64 i #s(literal 4 binary64))) |
(* (pow i 4) (+ 16 (* -1 (/ (+ (* -32 beta) (* -1 (/ (+ (* -1 (/ (+ (* -4 (* beta (- (pow beta 2) 1))) (* -4 (pow beta 3))) i)) (+ (* 4 (- (pow beta 2) 1)) (+ (* 4 (pow beta 2)) (* 16 (pow beta 2))))) i))) i)))) |
(*.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -32 binary64) beta (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 #s(literal -4 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) beta (*.f64 (*.f64 beta beta) beta))) i)) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 beta beta) #s(literal 20 binary64)))) i))) i)) #s(literal 16 binary64)) (pow.f64 i #s(literal 4 binary64))) |
(/ 1/8 i) |
(/.f64 #s(literal 1/8 binary64) i) |
(* -1 (/ (- (* -1/8 (/ beta i)) (+ 1/8 (* -1/64 (/ (+ (* 4 beta) (* 8 beta)) i)))) i)) |
(neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 beta i)) (fma.f64 #s(literal -1/64 binary64) (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/8 binary64))) i)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (- (* -1/8 beta) (* -1/64 (+ (* 4 beta) (* 8 beta))))) (* -1 (/ (+ (* -1/8 (* (+ (* 4 beta) (* 8 beta)) (- (* -1/8 beta) (* -1/64 (+ (* 4 beta) (* 8 beta)))))) (* -1/64 (+ (* -4 (pow beta 2)) (* -2 (- (pow beta 2) 1))))) i))) i)) 1/8) i)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 beta #s(literal 12 binary64))) (fma.f64 #s(literal -1/8 binary64) beta (*.f64 #s(literal 1/64 binary64) (*.f64 beta #s(literal 12 binary64)))) (*.f64 (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (*.f64 beta beta))) #s(literal -1/64 binary64))) i)) (neg.f64 (fma.f64 #s(literal -1/8 binary64) beta (*.f64 #s(literal 1/64 binary64) (*.f64 beta #s(literal 12 binary64)))))) i)) #s(literal 1/8 binary64)) i)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (- (* -1/8 beta) (* -1/64 (+ (* 4 beta) (* 8 beta))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (+ (* -4 (pow beta 2)) (* -2 (- (pow beta 2) 1))) (- (* -1/8 beta) (* -1/64 (+ (* 4 beta) (* 8 beta)))))) (+ (* -1/64 (* beta (- (pow beta 2) 1))) (* 1/8 (* (+ (* -1/8 (* (+ (* 4 beta) (* 8 beta)) (- (* -1/8 beta) (* -1/64 (+ (* 4 beta) (* 8 beta)))))) (* -1/64 (+ (* -4 (pow beta 2)) (* -2 (- (pow beta 2) 1))))) (+ (* 4 beta) (* 8 beta)))))) i)) (+ (* -1/8 (* (+ (* 4 beta) (* 8 beta)) (- (* -1/8 beta) (* -1/64 (+ (* 4 beta) (* 8 beta)))))) (* -1/64 (+ (* -4 (pow beta 2)) (* -2 (- (pow beta 2) 1)))))) i))) i)) 1/8) i)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (*.f64 beta beta)))) (fma.f64 #s(literal -1/8 binary64) beta (*.f64 #s(literal 1/64 binary64) (*.f64 beta #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 beta #s(literal 12 binary64))) (fma.f64 #s(literal -1/8 binary64) beta (*.f64 #s(literal 1/64 binary64) (*.f64 beta #s(literal 12 binary64)))) (*.f64 (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (*.f64 beta beta))) #s(literal -1/64 binary64))) (*.f64 beta #s(literal 12 binary64))) #s(literal 1/8 binary64) (*.f64 #s(literal -1/64 binary64) (*.f64 (fma.f64 beta beta #s(literal -1 binary64)) beta)))) i)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 beta #s(literal 12 binary64))) (fma.f64 #s(literal -1/8 binary64) beta (*.f64 #s(literal 1/64 binary64) (*.f64 beta #s(literal 12 binary64)))) (*.f64 (fma.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal -2 binary64) (*.f64 #s(literal -4 binary64) (*.f64 beta beta))) #s(literal -1/64 binary64)))) i)) (neg.f64 (fma.f64 #s(literal -1/8 binary64) beta (*.f64 #s(literal 1/64 binary64) (*.f64 beta #s(literal 12 binary64)))))) i)) #s(literal 1/8 binary64)) i)) |
(/ 1/8 i) |
(/.f64 #s(literal 1/8 binary64) i) |
(* -1 (/ (- (* -1 (/ (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) i)) 1/8) i)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (+.f64 beta alpha) #s(literal 1/8 binary64) (*.f64 #s(literal -1/64 binary64) (*.f64 (+.f64 beta alpha) #s(literal 12 binary64)))) i)) #s(literal 1/8 binary64)) i)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (* -1/8 (* alpha beta)) (+ (* -1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))) (* 1/64 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1)))))) i)) (* 1/8 (+ alpha beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) i)) 1/8) i)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 1/8 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 beta alpha)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 beta alpha) #s(literal 12 binary64))) (fma.f64 (+.f64 beta alpha) #s(literal 1/8 binary64) (*.f64 #s(literal -1/64 binary64) (*.f64 (+.f64 beta alpha) #s(literal 12 binary64)))) (*.f64 (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) #s(literal 1/64 binary64)))) i))) (*.f64 #s(literal 1/64 binary64) (*.f64 (+.f64 beta alpha) #s(literal 12 binary64)))) i)) #s(literal 1/8 binary64)) i)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/8 (* alpha beta)) (+ (* -1/8 (/ (* (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta)))))) i)) (+ (* -1/8 (/ (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* -1/8 (* alpha beta)) (+ (* -1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))) (* 1/64 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1))))))) i)) (* 1/64 (/ (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1)) i))))) (+ (* -1/8 (* (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))) (- (* 1/8 (+ alpha beta)) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))))) (* 1/64 (+ (* -4 (pow (+ alpha beta) 2)) (* -2 (- (pow (+ alpha beta) 2) 1)))))) i)) (* 1/8 (+ alpha beta))) (* 1/64 (+ (* 4 (+ alpha beta)) (* 8 (+ alpha beta))))) i)) 1/8) i)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (+.f64 beta alpha) #s(literal 1/8 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) alpha) beta (-.f64 (fma.f64 (*.f64 (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) (/.f64 (fma.f64 (+.f64 beta alpha) #s(literal 1/8 binary64) (*.f64 #s(literal -1/64 binary64) (*.f64 (+.f64 beta alpha) #s(literal 12 binary64)))) i)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 beta alpha)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 beta alpha) #s(literal 12 binary64))) (fma.f64 (+.f64 beta alpha) #s(literal 1/8 binary64) (*.f64 #s(literal -1/64 binary64) (*.f64 (+.f64 beta alpha) #s(literal 12 binary64)))) (*.f64 (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) #s(literal 1/64 binary64)))) (*.f64 (+.f64 beta alpha) #s(literal 12 binary64))) i) #s(literal -1/8 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) i)) #s(literal 1/64 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (+.f64 beta alpha) #s(literal 12 binary64))) (fma.f64 (+.f64 beta alpha) #s(literal 1/8 binary64) (*.f64 #s(literal -1/64 binary64) (*.f64 (+.f64 beta alpha) #s(literal 12 binary64)))) (*.f64 (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal -4 binary64))) #s(literal 1/64 binary64))))) i))) (*.f64 #s(literal 1/64 binary64) (*.f64 (+.f64 beta alpha) #s(literal 12 binary64)))) i)) #s(literal 1/8 binary64)) i)) |
| 4 748× | lower-*.f32 |
| 4 724× | lower-*.f64 |
| 3 832× | lower-fma.f32 |
| 3 822× | lower-fma.f64 |
| 3 804× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 85 | 751 |
| 0 | 121 | 653 |
| 1 | 626 | 633 |
| 2 | 5539 | 633 |
| 0 | 8920 | 615 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) |
#s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) |
(fma.f64 (/.f64 beta i) #s(literal 1/8 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 #s(approx (* (+ alpha i) i) (*.f64 i i)) (*.f64 beta beta))) |
(/.f64 #s(approx (* (+ alpha i) i) (*.f64 i i)) (*.f64 beta beta)) |
#s(approx (* (+ alpha i) i) (*.f64 i i)) |
(*.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 #s(literal 1 binary64) (*.f64 beta #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i)))))) |
(/.f64 #s(literal 1 binary64) (*.f64 beta #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i))))) |
(*.f64 beta #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i)))) |
#s(approx (/ beta (* (+ alpha i) i)) (/.f64 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 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))))) |
(*.f64 (*.f64 i i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))))) |
(/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))) |
(-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) |
(*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64)) |
(*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) i)))) |
(*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(/.f64 (+.f64 beta alpha) i) |
(*.f64 beta beta) |
(/.f64 beta (*.f64 i i)) |
(*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta))) |
#s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) i)) |
#s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) i))) |
| Outputs |
|---|
(*.f64 (*.f64 (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))))) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta)) (*.f64 (*.f64 i i) i)) #s(literal 1/512 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (*.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (*.f64 (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (*.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))) (-.f64 (*.f64 (*.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta)) (*.f64 (*.f64 i i) i)) #s(literal 1/512 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 alpha beta) i)) (*.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 alpha beta) i)))) (-.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 alpha beta) i)))) |
(/.f64 (fma.f64 (*.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (*.f64 #s(literal -1/512 binary64) (/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta)) (*.f64 (*.f64 i i) i)))) (fma.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 alpha beta) i)) (*.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 alpha beta) i))) (*.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 alpha beta) i)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))))) (neg.f64 (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta)) (*.f64 (*.f64 i i) i)) #s(literal 1/512 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (*.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))))) |
(/.f64 (*.f64 (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))) (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta)) (*.f64 (*.f64 i i) i)) #s(literal 1/512 binary64))) (fma.f64 (*.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (*.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (*.f64 (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (fma.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (*.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))) (-.f64 (*.f64 (*.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta)) (*.f64 (*.f64 i i) i)) #s(literal 1/512 binary64))))) |
(fma.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) |
(fma.f64 (/.f64 (neg.f64 (+.f64 alpha beta)) i) #s(literal 1/8 binary64) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64)) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) |
(fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal -1/8 binary64) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) |
(fma.f64 #s(literal 1/8 binary64) (/.f64 (neg.f64 (+.f64 alpha beta)) i) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64)) (*.f64 (+.f64 alpha beta) #s(literal 1/8 binary64))) (*.f64 i i)) (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (fma.f64 (*.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (*.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))))) (/.f64 (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (+.f64 alpha beta)) (+.f64 alpha beta)) (*.f64 (*.f64 i i) i)) #s(literal 1/512 binary64)) (fma.f64 (*.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) (*.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))))) |
(-.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 alpha beta) i) #s(literal 1/8 binary64))) |
(+.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 alpha beta) i)) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64)))) |
(+.f64 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) (*.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 alpha beta) i))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (+.f64 alpha beta) i) #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))))) |
#s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/16 binary64))) |
(*.f64 (fma.f64 (*.f64 (/.f64 beta i) #s(literal 1/64 binary64)) (/.f64 beta i) #s(literal -1/256 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal -1/16 binary64)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 beta beta) beta) (*.f64 (*.f64 i i) i)) #s(literal 1/512 binary64) #s(literal 1/4096 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 beta i) #s(literal 1/64 binary64)) (/.f64 beta i) (-.f64 #s(literal 1/256 binary64) (*.f64 (/.f64 beta i) #s(literal 1/128 binary64)))))) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal -1/16 binary64)) (fma.f64 (*.f64 (/.f64 beta i) #s(literal 1/64 binary64)) (/.f64 beta i) #s(literal -1/256 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 beta i) #s(literal 1/64 binary64)) (/.f64 beta i) (-.f64 #s(literal 1/256 binary64) (*.f64 (/.f64 beta i) #s(literal 1/128 binary64)))) (fma.f64 (/.f64 (*.f64 (*.f64 beta beta) beta) (*.f64 (*.f64 i i) i)) #s(literal 1/512 binary64) #s(literal 1/4096 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1/256 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) beta) (*.f64 #s(literal 1/8 binary64) beta)) (*.f64 i i))) (-.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 beta i)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 beta i) #s(literal 1/64 binary64)) (/.f64 beta i) #s(literal -1/256 binary64))) (neg.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal -1/16 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 beta beta) beta) (*.f64 (*.f64 i i) i)) #s(literal 1/512 binary64) #s(literal 1/4096 binary64))) (neg.f64 (fma.f64 (*.f64 (/.f64 beta i) #s(literal 1/64 binary64)) (/.f64 beta i) (-.f64 #s(literal 1/256 binary64) (*.f64 (/.f64 beta i) #s(literal 1/128 binary64)))))) |
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(fma.f64 (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) beta (*.f64 (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 i #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64) (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))) |
(fma.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) i) #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (*.f64 (fma.f64 i #s(literal 2 binary64) beta) beta))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))) |
(fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (*.f64 (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))) |
(fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64))) |
(fma.f64 (*.f64 i #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 beta (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta)))) |
(fma.f64 beta (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 (*.f64 i #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta)))) |
(+.f64 (*.f64 (*.f64 i #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta))) (*.f64 beta (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta)))) |
(+.f64 (*.f64 beta (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta))) (*.f64 (*.f64 i #s(literal 2 binary64)) (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta)))) |
(+.f64 (*.f64 (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) i) #s(literal 2 binary64)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))) (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) beta) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 i #s(literal 2 binary64))) (*.f64 (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) beta)) |
(+.f64 (*.f64 (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) beta) (*.f64 (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 i #s(literal 2 binary64)))) |
(+.f64 (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) i) #s(literal 2 binary64))) (*.f64 (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64)) (*.f64 (fma.f64 i #s(literal 2 binary64) beta) beta))) |
(+.f64 (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)))) |
(+.f64 (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))) (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) #s(literal -1 binary64))) |
#s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/8 binary64)) (/.f64 (*.f64 beta #s(literal 3/16 binary64)) i)) i)) |
#s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/8 binary64)) (/.f64 (*.f64 beta #s(literal 3/16 binary64)) i)) i))) |
Compiled 69 111 to 3 314 computations (95.2% saved)
32 alts after pruning (28 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 151 | 13 | 1 164 |
| Fresh | 12 | 15 | 27 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 166 | 32 | 1 198 |
| Status | Accuracy | Program |
|---|---|---|
| 8.9% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (*.f64 (*.f64 beta alpha) i) (+.f64 beta alpha))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)))) | |
| 8.5% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (*.f64 (*.f64 beta alpha) i) (+.f64 beta alpha))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (*.f64 beta beta))) | |
| 3.0% | (/.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))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (*.f64 alpha alpha))) | |
| 9.9% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (/ (* (* beta alpha) i) (+ beta alpha)) (*.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))) | |
| 71.5% | (*.f64 (/.f64 i (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 (+.f64 i beta) alpha) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/8 binary64)) (/.f64 (*.f64 beta #s(literal 3/16 binary64)) i)) i))))) | |
| 27.3% | (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 (/.f64 #s(approx (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (*.f64 (+.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) i) alpha) beta)) (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)))) | |
| 71.5% | (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 beta i) #s(literal 1/64 binary64)) (/.f64 beta i) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal -1/8 binary64))) (/.f64 (*.f64 beta #s(literal 3/16 binary64)) (neg.f64 i))) i)))) | |
| 71.5% | (*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 #s(approx (- (+ (* (/ beta i) 1/8) 1/8) (* (/ (* beta 12) i) 1/64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 beta i) #s(literal 1/8 binary64))) i)))) | |
| 71.4% | (*.f64 (*.f64 i (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 (+.f64 i beta) alpha))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) i)))) | |
| 20.9% | #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 (* (+ alpha i) i) (*.f64 i i)) beta) beta)) | |
| 29.6% | #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)) | |
| ✓ | 13.8% | #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(approx (* (+ alpha i) i) (*.f64 i i)) (*.f64 beta beta))) |
| 29.6% | #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 binary64) (*.f64 (/.f64 beta (+.f64 i alpha)) (/.f64 beta i)))) | |
| 28.0% | #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 binary64) (*.f64 beta (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 (+.f64 i alpha) beta))) #s(literal -1 binary64)))))) | |
| 26.3% | #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 beta #s(approx (/ beta (* (+ alpha i) i)) (/.f64 (/.f64 beta i) i))))) | |
| ✓ | 20.8% | #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 binary64) (*.f64 beta #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i)))))) |
| 78.4% | #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 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 #s(approx (/ (+ beta alpha) i) (/.f64 beta i)) #s(literal 1/8 binary64)))) | |
| 76.9% | #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 (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) #s(approx (+ (* (/ beta i) 1/8) 1/16) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) i) (/.f64 #s(literal 1/16 binary64) beta)) beta))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) | |
| 64.4% | #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 #s(literal 1/16 binary64) (/.f64 (-.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (*.f64 beta alpha))) 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 (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64))) i) #s(literal -1/256 binary64) (*.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)))) i))) | |
| 29.7% | #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 (+.f64 i alpha) beta) (/.f64 i beta))) | |
| 14.8% | #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 i (*.f64 beta beta)) (+.f64 i alpha))) | |
| 29.6% | #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 #s(literal 1 binary64) beta) (*.f64 i (/.f64 (+.f64 i alpha) 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 i beta) i) (/.f64 (+.f64 i beta) (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))) i)) | |
| 33.8% | #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 i i) (/.f64 (/.f64 (*.f64 (+.f64 i beta) (+.f64 i beta)) (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))) | |
| 12.3% | #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 i i) #s(approx (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta)))) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 i #s(literal 6 binary64)) beta)) #s(literal 1 binary64)) (*.f64 beta beta))))) | |
| 29.2% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (*.f64 i i) #s(approx (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta)))) (/.f64 #s(literal 1/16 binary64) (*.f64 i i))))) | |
| 11.2% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (/.f64 (/.f64 (*.f64 i alpha) beta) beta))) | |
| 12.6% | #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)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 (/.f64 alpha beta) (/.f64 i beta)))) | |
| ✓ | 10.0% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
| 10.0% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) i)))) | |
| 29.7% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i i) #s(literal -1 binary64))))) | |
| ✓ | 72.3% | #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)) #s(literal 1/16 binary64)) |
Compiled 2 703 to 716 computations (73.5% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* (+ alpha i) i) (*.f64 i i)) (*.f64 beta beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 i (*.f64 beta 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 beta)) (+.f64 i 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 (*.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)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) i)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (*.f64 i i) #s(approx (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta)))) (/.f64 #s(literal 1/16 binary64) (*.f64 i i))))) |
(/.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))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (*.f64 alpha alpha))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 (/.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)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (/.f64 (/.f64 (*.f64 i alpha) beta) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 #s(approx (* (+ alpha i) i) (*.f64 i i)) beta) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (neg.f64 i) (/.f64 (-.f64 (neg.f64 i) 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 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 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 (*.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)) #s(approx (* (* i i) (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 i i)) (fma.f64 #s(literal 4 binary64) (*.f64 i 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 #s(literal 1 binary64) (*.f64 beta #s(approx (/ beta (* (+ alpha i) i)) (/.f64 beta (*.f64 i i)))))) |
(/.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 #s(approx (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (*.f64 #s(literal 4 binary64) (*.f64 i 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 #s(literal 1 binary64) beta) (*.f64 i (/.f64 (+.f64 alpha 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(literal 1 binary64) beta) (*.f64 i (/.f64 (+.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 #s(literal 1 binary64) (*.f64 beta (/.f64 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 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 #s(approx (/ (+ beta alpha) i) (/.f64 beta i)) #s(literal 1/8 binary64)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 beta #s(approx (/ beta (* (+ alpha i) i)) (/.f64 (/.f64 beta 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 #s(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/16 binary64))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (*.f64 (*.f64 beta alpha) i) (+.f64 beta alpha))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (*.f64 beta beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 i alpha)) (/.f64 beta i)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(literal 1 binary64) (/.f64 beta (*.f64 i (/.f64 (+.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)))) #s(approx (/ (* (* beta alpha) i) (+ beta alpha)) (*.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)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (*.f64 i i) #s(approx (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta)))) (/.f64 (+.f64 (neg.f64 (/.f64 (*.f64 i #s(literal 6 binary64)) beta)) #s(literal 1 binary64)) (*.f64 beta beta))))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (*.f64 (*.f64 beta alpha) i) (+.f64 beta alpha))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (fma.f64 (+.f64 beta alpha) (+.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)))) (*.f64 (+.f64 alpha i) i)) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 i alpha) i)) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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 (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) #s(approx (+ (* (/ beta i) 1/8) 1/16) (*.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) i) (/.f64 #s(literal 1/16 binary64) beta)) beta))) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) |
(*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 #s(approx (- (+ (* (/ beta i) 1/8) 1/8) (* (/ (* beta 12) i) 1/64)) (fma.f64 #s(literal -1/16 binary64) (/.f64 beta i) #s(literal 1/8 binary64))) i)))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (/.f64 (*.f64 (*.f64 beta alpha) 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))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* 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 i) (/.f64 (*.f64 (+.f64 beta i) (+.f64 beta i)) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) 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 beta) i) (/.f64 (+.f64 i beta) (*.f64 (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 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(approx (+ (* (/ (* 2 (+ beta alpha)) i) 1/16) 1/16) (*.f64 (fma.f64 (/.f64 beta (*.f64 i alpha)) #s(literal 1/8 binary64) (+.f64 (/.f64 #s(literal 1/16 binary64) alpha) (/.f64 #s(literal 1/8 binary64) i))) alpha)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 (fma.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i) #s(literal 1/16 binary64) #s(literal 1/16 binary64)) (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (-.f64 beta alpha))) i) #s(literal 1/8 binary64)))) |
(*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 #s(approx (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+.f64 alpha i)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64)))) |
(*.f64 #s(approx (* (+ (+ beta alpha) i) (/ i (+ (* 2 i) (+ beta alpha)))) (*.f64 (+.f64 (/.f64 (neg.f64 i) (+.f64 beta alpha)) #s(literal 1 binary64)) i)) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) 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 i) (/.f64 (/.f64 (*.f64 (+.f64 i beta) (+.f64 i beta)) (*.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta))) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))) |
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(*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) #s(approx (/ (* (+ (+ beta alpha) i) i) (* (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))))) (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta)))))) |
(*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 #s(literal 1/8 binary64) (+.f64 beta alpha) (*.f64 #s(literal -1/64 binary64) (*.f64 (+.f64 beta alpha) #s(literal 12 binary64)))) i)) i))) |
(*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (fma.f64 (+.f64 beta alpha) #s(literal 1/8 binary64) (*.f64 #s(literal -1/64 binary64) (*.f64 (+.f64 beta alpha) #s(literal 12 binary64)))) i)) i))) |
(*.f64 (/.f64 i (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (*.f64 (+.f64 (+.f64 i beta) alpha) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (-.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal 1/8 binary64)) (/.f64 (*.f64 beta #s(literal 3/16 binary64)) i)) i))))) |
(*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i beta) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) 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)))) (- (* (+ (+ 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 i (+.f64 alpha i))) beta) (/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (*.f64 beta beta))) |
(*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) i)))) |
(*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (+.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (*.f64 i i)) (*.f64 (neg.f64 i) (*.f64 i #s(literal 6 binary64)))) beta)) i) (*.f64 beta beta))))) |
(*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/.f64 (/.f64 (*.f64 (+.f64 i beta) i) (fma.f64 i #s(literal 2 binary64) beta)) (fma.f64 (fma.f64 i #s(literal 2 binary64) beta) (fma.f64 i #s(literal 2 binary64) beta) #s(literal -1 binary64))))) |
(*.f64 (*.f64 i (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 i #s(literal 2 binary64) (+.f64 alpha beta))) (+.f64 (+.f64 i beta) alpha))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (-.f64 (fma.f64 (/.f64 beta i) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (/.f64 (*.f64 beta #s(literal 12 binary64)) i) #s(literal 1/64 binary64))) i)))) |
(*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 #s(approx (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (/.f64 (*.f64 (+.f64 beta i) i) (fma.f64 #s(literal 2 binary64) i beta))) (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 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) 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 (*.f64 (neg.f64 i) (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (+.f64 (+.f64 beta alpha) 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)) (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))) |
(*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (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)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i)) (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) (neg.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 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (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)))) |
(*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) (/.f64 (-.f64 (+.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) i) alpha) (*.f64 (+.f64 alpha i) (/.f64 (+.f64 (fma.f64 alpha #s(literal 2 binary64) (*.f64 i #s(literal 6 binary64))) alpha) beta))) (*.f64 beta 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 i (+.f64 alpha i))) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 alpha #s(literal 2 binary64))) (+.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 (*.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 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 (/.f64 #s(approx (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (*.f64 (+.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) i) alpha) beta)) (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)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ beta alpha) i) i) (* beta alpha)) (+ (* 2 i) (+ beta alpha))) (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1)) #s(approx (/ (* (+ beta i) i) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (+ (* 2 i) beta))) (/.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 beta i) #s(literal 1/64 binary64)) (/.f64 beta i) #s(literal -1/64 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 beta i) #s(literal -1/8 binary64))) (/.f64 (*.f64 beta #s(literal 3/16 binary64)) (neg.f64 i))) i)))) |
(*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) #s(approx (/ (* (+ (+ beta alpha) i) i) (* (+ (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))) -1) (* (+ (* 2 i) (+ beta alpha)) (+ (* 2 i) (+ beta alpha))))) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/16 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 beta alpha) #s(literal -1/16 binary64)) (+.f64 beta alpha)) #s(literal 2 binary64) (*.f64 #s(literal 1/256 binary64) (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64))))) (*.f64 i i)))) #s(literal 1/16 binary64)) (*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/8 binary64))) (*.f64 i i)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (-.f64 #s(literal 1/16 binary64) (/.f64 (-.f64 (-.f64 (*.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (*.f64 beta alpha))) 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 (fma.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -1 binary64)) #s(literal 4 binary64) (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 20 binary64))) i) #s(literal -1/256 binary64) (*.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)))) 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 beta (exp.f64 (*.f64 (log.f64 (*.f64 i (/.f64 (+.f64 i alpha) beta))) #s(literal -1 binary64)))))) |
(*.f64 (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (*.f64 (+.f64 (+.f64 beta alpha) i) i))) #s(literal -1 binary64)) (pow.f64 (*.f64 (-.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)) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)))) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) |
4 calls:
| 37.0ms | (/.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))) |
| 36.0ms | i |
| 22.0ms | beta |
| 21.0ms | alpha |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.1% | 2 | alpha |
| 86.8% | 2 | beta |
| 85.5% | 3 | i |
| 84.2% | 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 68 to 26 computations (61.8% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* (+ alpha i) i) (*.f64 i i)) (*.f64 beta beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 i (*.f64 beta 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 beta)) (+.f64 i 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 (*.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)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) i)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (*.f64 i i) #s(approx (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta)))) (/.f64 #s(literal 1/16 binary64) (*.f64 i i))))) |
(/.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))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (*.f64 alpha alpha))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 (/.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)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (/.f64 (/.f64 (*.f64 i alpha) beta) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 #s(approx (* (+ alpha i) i) (*.f64 i i)) beta) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (neg.f64 i) (/.f64 (-.f64 (neg.f64 i) alpha) (*.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 (/.f64 #s(approx (* (+ alpha i) i) (*.f64 i i)) beta) beta)) |
4 calls:
| 7.0ms | beta |
| 5.0ms | alpha |
| 4.0ms | i |
| 4.0ms | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.3% | 1 | alpha |
| 72.3% | 1 | i |
| 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))) |
| 78.8% | 2 | beta |
Compiled 68 to 26 computations (61.8% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* (+ alpha i) i) (*.f64 i i)) (*.f64 beta beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 i (*.f64 beta 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 beta)) (+.f64 i 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 (*.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)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) i)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (*.f64 i i) #s(approx (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta)))) (/.f64 #s(literal 1/16 binary64) (*.f64 i i))))) |
(/.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))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (*.f64 alpha alpha))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 (/.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)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (/.f64 (/.f64 (*.f64 i alpha) 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 (/ (* (+ alpha i) i) (* beta beta)) (*.f64 (/.f64 alpha beta) (/.f64 i beta)))) |
1 calls:
| 4.0ms | beta |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.6% | 2 | beta |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 #s(approx (* (+ alpha i) i) (*.f64 i i)) (*.f64 beta beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 i (*.f64 beta 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 beta)) (+.f64 i 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 (*.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)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) i)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (*.f64 i i) #s(approx (/ (* (+ beta i) (+ beta i)) (* (+ (* (+ (* 2 i) beta) (+ (* 2 i) beta)) -1) (* (+ (* 2 i) beta) (+ (* 2 i) beta)))) (/.f64 #s(literal 1/16 binary64) (*.f64 i i))))) |
(/.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))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (*.f64 alpha alpha))) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
1 calls:
| 3.0ms | beta |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.6% | 2 | beta |
Compiled 4 to 3 computations (25% 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)) |
3 calls:
| 1.0ms | i |
| 1.0ms | beta |
| 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 |
|---|---|---|
| 72.3% | 1 | i |
| 72.3% | 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))) |
| 72.3% | 1 | beta |
Compiled 64 to 23 computations (64.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 1.0767455047277448e+155 | 1.847432085569248e+155 |
| 6.0ms | 64× | 0 | valid |
Compiled 139 to 75 computations (46% saved)
ival-mult: 2.0ms (52.3% of total)ival-div: 1.0ms (26.2% of total)ival-add: 1.0ms (26.2% 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 |
|---|---|---|
| 35.0ms | 5.036683901664916e+162 | 6.794974148417241e+165 |
| 30.0ms | 128× | 0 | valid |
Compiled 211 to 119 computations (43.6% saved)
ival-mult: 23.0ms (85.4% of total)ival-add: 2.0ms (7.4% of total)ival-sub: 1.0ms (3.7% of total)ival-div: 1.0ms (3.7% 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 |
|---|---|---|
| 15.0ms | 1.3536124722476632e+256 | 5.267210952683275e+259 |
| 11.0ms | 128× | 0 | valid |
Compiled 211 to 119 computations (43.6% saved)
ival-mult: 3.0ms (39.4% of total)ival-add: 2.0ms (26.2% of total)ival-sub: 1.0ms (13.1% of total)ival-div: 1.0ms (13.1% 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 | 1.3536124722476632e+256 | 5.267210952683275e+259 |
Compiled 211 to 119 computations (43.6% saved)
| 1× | egg-herbie |
| 6× | *-commutative_binary64 |
| 2× | +-commutative_binary64 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 563 |
| 1 | 59 | 563 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 beta #s(literal 180000000000000003673426809135674953686534919827901819422095000563455010955266096905998711862219455949958667842794623474774777561026056459321103193263308800 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 85000000000000002708921158048833896985183546822818021473347897075754444204442841852844368620543647687450122110400454274427458473783189805886671882237642253208125440 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 #s(approx (* (+ alpha i) i) (*.f64 i i)) beta) beta))) |
(if (<=.f64 beta #s(literal 17999999999999998541893548338573482828073220499567173175550446943486486281920288661568851067555002287798728912842822867844431636430382658437752494800110771866294780511890571011921440847607764469480102900940911262229149593559155021342348531192579127873896448 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 (/.f64 alpha beta) (/.f64 i beta))))) |
(if (<=.f64 beta #s(literal 17999999999999998541893548338573482828073220499567173175550446943486486281920288661568851067555002287798728912842822867844431636430382658437752494800110771866294780511890571011921440847607764469480102900940911262229149593559155021342348531192579127873896448 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta)))))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
| Outputs |
|---|
(if (<=.f64 beta #s(literal 180000000000000003673426809135674953686534919827901819422095000563455010955266096905998711862219455949958667842794623474774777561026056459321103193263308800 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 180000000000000003673426809135674953686534919827901819422095000563455010955266096905998711862219455949958667842794623474774777561026056459321103193263308800 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 85000000000000002708921158048833896985183546822818021473347897075754444204442841852844368620543647687450122110400454274427458473783189805886671882237642253208125440 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 #s(approx (* (+ alpha i) i) (*.f64 i i)) beta) beta))) |
(if (<=.f64 beta #s(literal 17999999999999998541893548338573482828073220499567173175550446943486486281920288661568851067555002287798728912842822867844431636430382658437752494800110771866294780511890571011921440847607764469480102900940911262229149593559155021342348531192579127873896448 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 (/.f64 alpha beta) (/.f64 i beta))))) |
(if (<=.f64 beta #s(literal 17999999999999998541893548338573482828073220499567173175550446943486486281920288661568851067555002287798728912842822867844431636430382658437752494800110771866294780511890571011921440847607764469480102900940911262229149593559155021342348531192579127873896448 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta)))))) |
(if (<=.f64 beta #s(literal 17999999999999998541893548338573482828073220499567173175550446943486486281920288661568851067555002287798728912842822867844431636430382658437752494800110771866294780511890571011921440847607764469480102900940911262229149593559155021342348531192579127873896448 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (/ (* (+ alpha i) i) (* beta beta)) (*.f64 (/.f64 i (*.f64 beta beta)) alpha)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
| 9 164× | lower-fma.f64 |
| 9 164× | lower-fma.f32 |
| 6 692× | lower-*.f64 |
| 6 692× | lower-*.f32 |
| 6 212× | lower-fma.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 74 | 613 |
| 0 | 113 | 515 |
| 1 | 537 | 512 |
| 2 | 4732 | 496 |
| 0 | 8836 | 485 |
| 0 | 1089 | 12630 |
| 1 | 3841 | 11840 |
| 0 | 8260 | 10972 |
| 0 | 85 | 751 |
| 0 | 121 | 653 |
| 1 | 626 | 633 |
| 2 | 5539 | 633 |
| 0 | 8920 | 615 |
| 0 | 2431 | 51431 |
| 0 | 8500 | 46883 |
| 0 | 50 | 536 |
| 0 | 79 | 430 |
| 1 | 396 | 424 |
| 2 | 3605 | 424 |
| 0 | 8596 | 424 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 180 to 102 computations (43.3% saved)
Compiled 282 to 108 computations (61.7% saved)
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