
Time bar (total: 12.0s)
| 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)
| 1.4s | 8 256× | 0 | valid |
ival-mult: 296.0ms (37.8% of total)ival-add: 179.0ms (22.8% of total)ival->: 127.0ms (16.2% of total)ival-div: 111.0ms (14.2% of total)ival-sub: 36.0ms (4.6% of total)ival-and: 16.0ms (2% of total)exact: 15.0ms (1.9% of total)ival-assert: 4.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 216 | 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)))) |
| 159 | 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 | 179 | 0 |
| ↳ | (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) | overflow | 155 | |
| ↳ | (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) | overflow | 216 | |
| ↳ | (*.f64 beta alpha) | overflow | 18 | |
| ↳ | (*.f64 i (+.f64 (+.f64 alpha beta) i)) | overflow | 306 | |
| ↳ | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) | overflow | 179 | |
/.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 | 132 | 0 |
| ↳ | (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) | overflow | 155 | |
| ↳ | (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) | overflow | 216 | |
| ↳ | (*.f64 beta alpha) | overflow | 18 | |
| ↳ | (*.f64 i (+.f64 (+.f64 alpha beta) i)) | overflow | 306 | |
| ↳ | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) | overflow | 179 | |
| ↳ | (/.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 | 132 | |
| ↳ | (-.f64 (*.f64 (+.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 | 179 | |
| ↳ | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) | overflow | 179 | |
/.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 | 37 | 0 |
| ↳ | (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) | overflow | 155 | |
| ↳ | (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) | overflow | 216 | |
| ↳ | (*.f64 beta alpha) | overflow | 18 | |
| ↳ | (*.f64 i (+.f64 (+.f64 alpha beta) i)) | overflow | 306 | |
/.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 | 27 | 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 | 179 | |
| ↳ | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) | overflow | 179 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 216 | 0 |
| - | 0 | 40 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 216 | 0 | 0 |
| - | 0 | 0 | 40 |
| number | freq |
|---|---|
| 0 | 40 |
| 1 | 57 |
| 2 | 159 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 109.0ms | 512× | 0 | valid |
Compiled 423 to 55 computations (87% saved)
ival-add: 35.0ms (39.6% of total)ival-div: 33.0ms (37.4% of total)ival-mult: 16.0ms (18.1% of total)ival-sub: 2.0ms (2.3% of total)ival-true: 1.0ms (1.1% of total)exact: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 12 580× | lower-fma.f64 |
| 12 580× | lower-fma.f32 |
| 4 108× | lower-*.f32 |
| 4 098× | lower-*.f64 |
| 3 894× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 508 |
| 1 | 377 | 482 |
| 2 | 2068 | 478 |
| 0 | 17 | 53 |
| 0 | 29 | 53 |
| 1 | 76 | 53 |
| 2 | 324 | 53 |
| 3 | 2002 | 53 |
| 4 | 6883 | 53 |
| 0 | 8193 | 47 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))) (/.f64 (+.f64 (+.f64 beta alpha) i) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(sort alpha beta)
Compiled 53 to 17 computations (67.9% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 16.0% | (/.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))) |
Compiled 53 to 17 computations (67.9% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| cost-diff | 128 | (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) | |
| cost-diff | 128 | (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) | |
| cost-diff | 128 | (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) |
| 12 580× | lower-fma.f64 |
| 12 580× | lower-fma.f32 |
| 4 108× | lower-*.f32 |
| 4 098× | lower-*.f64 |
| 3 894× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 183 |
| 0 | 29 | 183 |
| 1 | 76 | 183 |
| 2 | 324 | 183 |
| 3 | 2002 | 183 |
| 4 | 6883 | 183 |
| 0 | 8193 | 166 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) |
(*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) |
(*.f64 i (+.f64 (+.f64 alpha beta) i)) |
i |
(+.f64 (+.f64 alpha beta) i) |
(+.f64 alpha beta) |
alpha |
beta |
(+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) |
(*.f64 beta alpha) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 2 binary64) |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))) (/.f64 (+.f64 (+.f64 beta alpha) i) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) |
(*.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))) (/.f64 (+.f64 (+.f64 beta alpha) i) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) |
(*.f64 (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) i) (+.f64 (+.f64 beta alpha) i)) |
(*.f64 i (+.f64 (+.f64 alpha beta) i)) |
(*.f64 (+.f64 (+.f64 beta alpha) i) i) |
i |
(+.f64 (+.f64 alpha beta) i) |
(+.f64 (+.f64 beta alpha) i) |
(+.f64 alpha beta) |
(+.f64 beta alpha) |
alpha |
beta |
(+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) |
(fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) |
(*.f64 beta alpha) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
(*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 2 binary64) |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) | |
| accuracy | 0.06869125976844201 | (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) | |
| accuracy | 37.99475355451798 | (/.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 | 46.07302960705686 | (/.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)))) |
| 57.0ms | 256× | 0 | valid |
Compiled 185 to 19 computations (89.7% saved)
ival-sub: 30.0ms (66.9% of total)ival-mult: 7.0ms (15.6% of total)ival-add: 5.0ms (11.1% of total)ival-div: 3.0ms (6.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) (patch (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (patch (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (patch (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (patch (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ()) |
| Outputs |
|---|
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | alpha | @ | -inf | ((+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) |
| 7.0ms | i | @ | 0 | ((+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) |
| 6.0ms | beta | @ | -inf | ((+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) |
| 6.0ms | alpha | @ | 0 | ((+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) |
| 5.0ms | beta | @ | 0 | ((+ (* beta alpha) (* i (+ (+ alpha beta) i))) (+ (+ alpha beta) (* 2 i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) |
| 1× | egg-herbie |
| 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 | 8258 | 10972 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* i (+ alpha i)) |
(+ (* beta (+ alpha i)) (* i (+ alpha i))) |
(+ (* beta (+ alpha i)) (* i (+ alpha i))) |
(+ (* beta (+ alpha i)) (* i (+ alpha i))) |
(+ alpha (* 2 i)) |
(+ alpha (+ beta (* 2 i))) |
(+ alpha (+ beta (* 2 i))) |
(+ alpha (+ beta (* 2 i))) |
(- (pow (+ alpha (* 2 i)) 2) 1) |
(- (+ (* beta (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1) |
(- (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) 1) |
(- (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) 1) |
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(+ (* beta (- (+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 4 alpha) (* 8 i)))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))))) (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)) |
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2))) |
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2))) |
(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 4)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (pow (+ alpha (* 2 i)) 2))))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2))) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2))) |
(* (pow i 2) (pow (+ alpha i) 2)) |
(+ (* beta (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2)))) (* (pow i 2) (pow (+ alpha i) 2))) |
(+ (* beta (+ (* beta (* i (+ alpha i))) (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))))) (* (pow i 2) (pow (+ alpha i) 2))) |
(+ (* beta (+ (* beta (* i (+ alpha i))) (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))))) (* (pow i 2) (pow (+ alpha i) 2))) |
(pow (+ alpha (* 2 i)) 2) |
(+ (* beta (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) |
(+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) |
(+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) |
(* beta (+ alpha i)) |
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta)))) |
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta)))) |
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta)))) |
beta |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta))))) |
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2)))) |
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2)))) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(* i (+ alpha i)) |
(- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) |
(- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(* (pow beta 2) (* i (+ alpha i))) |
(* (pow beta 2) (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta))) |
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) |
(* (pow beta 2) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta))))) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2)))))) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2)))))) |
(* -1 (* beta (+ (* -1 alpha) (* -1 i)))) |
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta)))))) |
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta)))))) |
(* -1 (* beta (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (* i (+ alpha i)) beta)))))) |
beta |
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1))) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta)))) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(* -1 (* i (+ (* -1 alpha) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(* -1 (* (pow beta 2) (* i (+ (* -1 alpha) (* -1 i))))) |
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) beta)))) |
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta)))) |
(* (pow beta 2) (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ alpha i) 2)) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) beta)))) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta)))) |
(* i (+ beta i)) |
(+ (* alpha (+ beta i)) (* i (+ beta i))) |
(+ (* alpha (+ beta i)) (* i (+ beta i))) |
(+ (* alpha (+ beta i)) (* i (+ beta i))) |
(+ beta (* 2 i)) |
(+ alpha (+ beta (* 2 i))) |
(+ alpha (+ beta (* 2 i))) |
(+ alpha (+ beta (* 2 i))) |
(- (pow (+ beta (* 2 i)) 2) 1) |
(- (+ (* alpha (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) 1) |
(- (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) 1) |
(- (+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) 1) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
(+ (* alpha (- (+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 4 beta) (* 8 i)))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))))) (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (* (pow (+ beta (* 2 i)) 4) (pow (- (pow (+ beta (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1)))) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)) |
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(* (pow i 2) (pow (+ beta i) 2)) |
(+ (* alpha (* i (+ (* i (+ beta i)) (pow (+ beta i) 2)))) (* (pow i 2) (pow (+ beta i) 2))) |
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2))) |
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2))) |
(pow (+ beta (* 2 i)) 2) |
(+ (* alpha (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) |
(+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) |
(+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) |
(* alpha (+ beta i)) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha))))) |
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2)))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(* i (+ beta i)) |
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha)) |
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(* (pow alpha 2) (* i (+ beta i))) |
(* (pow alpha 2) (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha))) |
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) |
(* (pow alpha 2) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha))))) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2)))))) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2)))))) |
(* -1 (* alpha (+ (* -1 beta) (* -1 i)))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))) |
(* -1 (* alpha (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (* i (+ beta i)) alpha)))))) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha)))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(* -1 (* i (+ (* -1 beta) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(* -1 (* (pow alpha 2) (* i (+ (* -1 beta) (* -1 i))))) |
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha)))) |
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha)))) |
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha)))) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha)))) |
(* alpha beta) |
(+ (* alpha beta) (* i (+ alpha beta))) |
(+ (* alpha beta) (* i (+ alpha (+ beta i)))) |
(+ (* alpha beta) (* i (+ alpha (+ beta i)))) |
(+ alpha beta) |
(+ alpha (+ beta (* 2 i))) |
(+ alpha (+ beta (* 2 i))) |
(+ alpha (+ beta (* 2 i))) |
(- (pow (+ alpha beta) 2) 1) |
(- (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) 1) |
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1) |
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(* alpha (* beta (* i (+ alpha beta)))) |
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (pow (+ alpha beta) 2))))) |
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ (* 2 alpha) (* 2 beta))) (pow (+ alpha beta) 2)))))) |
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ i (+ (* 2 alpha) (* 2 beta)))) (pow (+ alpha beta) 2)))))) |
(pow (+ alpha beta) 2) |
(+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) |
(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) |
(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) |
(pow i 2) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2)))))) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2)))))) |
(* 2 i) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(* 4 (pow i 2)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2)))) |
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2)))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2)))))) |
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3))))))))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))) |
(pow i 4) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i))))) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (/ (pow (+ alpha beta) 2) (pow i 2))))))) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (+ (/ (* alpha (* beta (+ alpha beta))) (pow i 3)) (/ (pow (+ alpha beta) 2) (pow i 2)))))))) |
(* 4 (pow i 2)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2))))) |
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2))))) |
(pow i 2) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i)))) |
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i)))) |
(* 2 i) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(* 4 (pow i 2)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i)))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i)))) |
(pow i 4) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i))))) |
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (+ (* -1 (/ (* alpha beta) i)) (* -1 (/ (pow (+ alpha beta) 2) i)))) i)))) |
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (* -1 (/ (+ (* -1 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ alpha beta))) i)) i))) i)))) |
(* 4 (pow i 2)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)))) |
| Outputs |
|---|
(* i (+ alpha i)) |
(*.f64 (+.f64 alpha i) i) |
(+ (* beta (+ alpha i)) (* i (+ alpha i))) |
(*.f64 (+.f64 alpha i) (+.f64 beta i)) |
(+ (* beta (+ alpha i)) (* i (+ alpha i))) |
(*.f64 (+.f64 alpha i) (+.f64 beta i)) |
(+ (* beta (+ alpha i)) (* i (+ alpha i))) |
(*.f64 (+.f64 alpha i) (+.f64 beta i)) |
(+ alpha (* 2 i)) |
(fma.f64 #s(literal 2 binary64) i alpha) |
(+ alpha (+ beta (* 2 i))) |
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) |
(+ alpha (+ beta (* 2 i))) |
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) |
(+ alpha (+ beta (* 2 i))) |
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) |
(- (pow (+ alpha (* 2 i)) 2) 1) |
(-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(- (+ (* beta (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) 1) |
(fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) beta (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(- (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) 1) |
(fma.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) alpha beta)) beta (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(- (+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) 1) |
(fma.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) alpha beta)) beta (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
(*.f64 (/.f64 (*.f64 i i) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) |
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) i) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (*.f64 i i)) (*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))))) beta (*.f64 (/.f64 (*.f64 i i) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))))) |
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))) (/.f64 (*.f64 i i) (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) i) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (*.f64 i i)) (*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64))))) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))))) beta (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) i) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (*.f64 i i)) (*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64)))))) beta (*.f64 (/.f64 (*.f64 i i) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))))) |
(+ (* beta (- (+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 4 alpha) (* 8 i)))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))))) (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 beta) (fma.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) i) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (*.f64 i i)) (*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))))) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))) (/.f64 (*.f64 i i) (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64))) (/.f64 (*.f64 i i) (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) i) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i 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(/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)) |
(/.f64 (*.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))) |
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(+ (* beta (- (+ (* beta (- (+ (* beta (- (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 4)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (pow (+ alpha (* 2 i)) 2))))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2))) (+ (/ (* (+ (* 2 alpha) (* 4 i)) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (pow (+ alpha (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 4))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (pow (+ alpha (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2))) |
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(* (pow i 2) (pow (+ alpha i) 2)) |
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(pow (+ alpha (* 2 i)) 2) |
(pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) |
(+ (* beta (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) |
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(+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) |
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(+ (* beta (+ beta (+ (* 2 alpha) (* 4 i)))) (pow (+ alpha (* 2 i)) 2)) |
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(* beta (+ alpha i)) |
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(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta)))) |
(*.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) (+.f64 alpha i)) beta) |
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta)))) |
(*.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) (+.f64 alpha i)) beta) |
(* beta (+ alpha (+ i (/ (* i (+ alpha i)) beta)))) |
(*.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) (+.f64 alpha i)) beta) |
beta |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (/.f64 alpha beta)) #s(literal 1 binary64)) beta) |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (/.f64 alpha beta)) #s(literal 1 binary64)) beta) |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 i beta) #s(literal 2 binary64) (/.f64 alpha beta)) #s(literal 1 binary64)) beta) |
(pow beta 2) |
(*.f64 beta beta) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta))))) |
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(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2)))) |
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(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2)))) |
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(/ (* i (+ alpha i)) (pow beta 2)) |
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#s(literal 1 binary64))))) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))))) (neg.f64 alpha) (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (fma.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 2 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 2 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) i) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 i i)) (*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64))))) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))))) alpha (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) i) (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (*.f64 i i)) (*.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 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(/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2)) |
(/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) |
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (+ (* alpha (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) |
(+ (* alpha (- (+ (* alpha (- (+ (* alpha (- (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 6)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 4)) (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2)) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ beta i)) (pow (+ beta (* 2 i)) 2))) (+ (/ (* (+ (* 2 beta) (* 4 i)) (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (pow (+ beta (* 2 i)) 2)) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 4))))) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (pow (+ beta (* 2 i)) 2))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 4)))) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow (+ beta (* 2 i)) 2))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (-.f64 (/.f64 (*.f64 (+.f64 beta i) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64)))))) alpha (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) i) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta))) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 4 binary64))))) alpha (/.f64 (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))) |
(* (pow i 2) (pow (+ beta i) 2)) |
(*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i)) |
(+ (* alpha (* i (+ (* i (+ beta i)) (pow (+ beta i) 2)))) (* (pow i 2) (pow (+ beta i) 2))) |
(fma.f64 (*.f64 alpha i) (*.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i))) |
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2))) |
(fma.f64 (fma.f64 (*.f64 alpha i) (+.f64 beta i) (*.f64 (*.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) i)) alpha (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i))) |
(+ (* alpha (+ (* alpha (* i (+ beta i))) (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))))) (* (pow i 2) (pow (+ beta i) 2))) |
(fma.f64 (fma.f64 (*.f64 alpha i) (+.f64 beta i) (*.f64 (*.f64 (+.f64 beta i) (+.f64 (+.f64 beta i) i)) i)) alpha (*.f64 (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 i i))) |
(pow (+ beta (* 2 i)) 2) |
(pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) |
(+ (* alpha (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) |
(fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) alpha (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) |
(+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) |
(fma.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta alpha)) alpha (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) |
(+ (* alpha (+ alpha (+ (* 2 beta) (* 4 i)))) (pow (+ beta (* 2 i)) 2)) |
(fma.f64 (fma.f64 #s(literal 4 binary64) i (fma.f64 #s(literal 2 binary64) beta alpha)) alpha (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) |
(* alpha (+ beta i)) |
(*.f64 (+.f64 beta i) alpha) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
(*.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) (+.f64 beta i)) alpha) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
(*.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) (+.f64 beta i)) alpha) |
(* alpha (+ beta (+ i (/ (* i (+ beta i)) alpha)))) |
(*.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) (+.f64 beta i)) alpha) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(*.f64 (+.f64 (fma.f64 (/.f64 i alpha) #s(literal 2 binary64) (/.f64 beta alpha)) #s(literal 1 binary64)) alpha) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
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(pow alpha 2) |
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(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha))))) |
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(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2)))) |
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(/ (* i (+ beta i)) (pow alpha 2)) |
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(* i (+ beta i)) |
(*.f64 (+.f64 beta i) i) |
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(* (pow alpha 2) (* i (+ beta i))) |
(*.f64 (*.f64 (*.f64 alpha alpha) i) (+.f64 beta i)) |
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alpha |
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
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(* -1 (* i (+ (* -1 beta) (* -1 i)))) |
(*.f64 (-.f64 (neg.f64 beta) i) (neg.f64 i)) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
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(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
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(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
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(* -1 (* (pow alpha 2) (* i (+ (* -1 beta) (* -1 i))))) |
(*.f64 (*.f64 (-.f64 (neg.f64 beta) i) (neg.f64 i)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) alpha)))) |
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(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha)))) |
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(* (pow alpha 2) (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (+ (* -1 (/ (* (pow i 2) (pow (+ beta i) 2)) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) alpha)))) |
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(pow alpha 2) |
(*.f64 alpha alpha) |
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) #s(literal 2 binary64) #s(literal 1 binary64)) (*.f64 alpha alpha)) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha)))) |
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(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha)))) |
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(* alpha beta) |
(*.f64 beta alpha) |
(+ (* alpha beta) (* i (+ alpha beta))) |
(fma.f64 (+.f64 beta alpha) i (*.f64 beta alpha)) |
(+ (* alpha beta) (* i (+ alpha (+ beta i)))) |
(*.f64 (+.f64 beta i) (+.f64 alpha i)) |
(+ (* alpha beta) (* i (+ alpha (+ beta i)))) |
(*.f64 (+.f64 beta i) (+.f64 alpha i)) |
(+ alpha beta) |
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(+ alpha (+ beta (* 2 i))) |
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) |
(+ alpha (+ beta (* 2 i))) |
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) |
(+ alpha (+ beta (* 2 i))) |
(+.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) |
(- (pow (+ alpha beta) 2) 1) |
(-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(- (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) 1) |
(fma.f64 (+.f64 beta alpha) (fma.f64 #s(literal 4 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64)) |
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1) |
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(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1) |
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(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(*.f64 (/.f64 (*.f64 beta i) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 alpha (+.f64 beta alpha))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 alpha (-.f64 (/.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) beta) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))))) i (*.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (+.f64 beta alpha)))) i) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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#s(literal 3 binary64)))) beta) (*.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))))))) i (*.f64 (/.f64 alpha (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64))) (/.f64 beta (+.f64 beta alpha)))) i) |
(/ (* alpha (* beta i)) (+ alpha beta)) |
(/.f64 (*.f64 (*.f64 beta i) alpha) (+.f64 beta alpha)) |
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (*.f64 alpha (/.f64 beta (+.f64 beta alpha)))) i) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (*.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 beta alpha))))) i (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (*.f64 alpha (/.f64 beta (+.f64 beta alpha)))) i) |
(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
(*.f64 (fma.f64 (-.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (*.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 beta alpha))))) (+.f64 beta alpha)) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))))) i (*.f64 #s(literal -4 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) (+.f64 beta alpha)))))) i (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64))) (/.f64 (*.f64 #s(literal 4 binary64) (*.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (*.f64 alpha (/.f64 beta (+.f64 beta alpha)))) i) |
(* alpha (* beta (* i (+ alpha beta)))) |
(*.f64 (*.f64 (*.f64 (+.f64 beta alpha) i) beta) alpha) |
(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (pow (+ alpha beta) 2))))) |
(*.f64 (fma.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i (*.f64 (*.f64 (+.f64 beta alpha) beta) alpha)) i) |
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(* i (+ (* alpha (* beta (+ alpha beta))) (* i (+ (* alpha beta) (+ (* i (+ i (+ (* 2 alpha) (* 2 beta)))) (pow (+ alpha beta) 2)))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) i) i (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i (*.f64 (*.f64 (+.f64 beta alpha) beta) alpha)) i) |
(pow (+ alpha beta) 2) |
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(*.f64 (+.f64 beta alpha) (fma.f64 #s(literal 4 binary64) i (+.f64 beta alpha))) |
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(fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta alpha) i)) i (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) |
(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) |
(fma.f64 (*.f64 #s(literal 4 binary64) (+.f64 (+.f64 beta alpha) i)) i (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) |
(pow i 2) |
(*.f64 i i) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta i)) (/.f64 alpha i)) (*.f64 i i)) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2)))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha i)) (fma.f64 (/.f64 beta i) (/.f64 alpha i) (/.f64 beta i))) (*.f64 i i)) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (+ (/ beta i) (/ (* alpha beta) (pow i 2)))))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha i)) (fma.f64 (/.f64 beta i) (/.f64 alpha i) (/.f64 beta i))) (*.f64 i i)) |
(* 2 i) |
(*.f64 #s(literal 2 binary64) i) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 beta i)) (/.f64 alpha i)) i) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 beta i)) (/.f64 alpha i)) i) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 #s(literal 2 binary64) (/.f64 beta i)) (/.f64 alpha i)) i) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(*.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 i i)) |
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(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2)))) |
(*.f64 (-.f64 (fma.f64 (+.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1 binary64)) #s(literal 4 binary64) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i))) (/.f64 #s(literal 1 binary64) (*.f64 i i))) (*.f64 i i)) |
1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) i)) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2)))))) |
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(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3))))))))) |
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(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
(*.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (*.f64 i i)) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) i)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 #s(literal 1/16 binary64) i) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 beta alpha) i) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) (+.f64 beta alpha)) (*.f64 i i))))) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))) |
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(pow i 4) |
(pow.f64 i #s(literal 4 binary64)) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta i) (/.f64 alpha i)) #s(literal 1 binary64)) (pow.f64 i #s(literal 4 binary64))) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (/ (pow (+ alpha beta) 2) (pow i 2))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta i) (/.f64 alpha i)) (fma.f64 (/.f64 beta i) (/.f64 alpha i) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i)))) #s(literal 1 binary64)) (pow.f64 i #s(literal 4 binary64))) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (+ (* 2 (/ beta i)) (+ (/ (* alpha beta) (pow i 2)) (+ (/ (* alpha (* beta (+ alpha beta))) (pow i 3)) (/ (pow (+ alpha beta) 2) (pow i 2)))))))) |
(*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta i) (/.f64 alpha i)) (fma.f64 alpha (+.f64 (/.f64 beta (*.f64 i i)) (/.f64 (*.f64 (+.f64 beta alpha) beta) (pow.f64 i #s(literal 3 binary64)))) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i)))) #s(literal 1 binary64)) (pow.f64 i #s(literal 4 binary64))) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(*.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 i i)) |
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1 binary64)) #s(literal 4 binary64) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i))) (*.f64 i i)) |
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2))))) |
(*.f64 (fma.f64 (+.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1 binary64)) #s(literal 4 binary64) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i))) (*.f64 i i)) |
(pow i 2) |
(*.f64 i i) |
(* (pow i 2) (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta i)) (/.f64 alpha i)) (*.f64 i i)) |
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 alpha (/.f64 beta i) (+.f64 beta alpha))) i)) (*.f64 i i)) |
(* (pow i 2) (+ 1 (* -1 (/ (+ (* -1 (+ alpha beta)) (* -1 (/ (* alpha beta) i))) i)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 alpha (/.f64 beta i) (+.f64 beta alpha))) i)) (*.f64 i i)) |
(* 2 i) |
(*.f64 #s(literal 2 binary64) i) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(*.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 i)) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(*.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 i)) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(*.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal -1 binary64) #s(literal -2 binary64)) (neg.f64 i)) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(*.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 i i)) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i)))) |
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (+.f64 beta alpha) #s(literal -4 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 i))) i)) (*.f64 i i)) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i)))) |
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (+.f64 beta alpha) #s(literal -4 binary64) (/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (neg.f64 i))) i)) (*.f64 i i)) |
1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+.f64 #s(literal 1/16 binary64) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) i)) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
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(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(-.f64 #s(literal 1/16 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 #s(literal -1/8 binary64) (+.f64 beta alpha) (/.f64 (-.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta alpha) beta) alpha) i) #s(literal 1/16 binary64)) (-.f64 (*.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (*.f64 #s(literal -1/256 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64))))))) (fma.f64 (/.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (*.f64 #s(literal -1/256 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64)))))) (+.f64 beta alpha)) i) #s(literal -2 binary64) (fma.f64 (/.f64 (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 #s(literal -1/8 binary64) (+.f64 beta alpha))) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 20 binary64)))) i) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 #s(literal -4 binary64) (fma.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)) (+.f64 beta alpha) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) i) #s(literal -1/256 binary64))))) i)))) i)) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i)) |
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) (*.f64 (/.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) i) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) (+.f64 beta alpha)) i))) i)) (*.f64 i i)) |
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i)))) |
(*.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) (/.f64 (-.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta alpha) beta) alpha) i) #s(literal 1/4 binary64)) (-.f64 (*.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/16 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) (+.f64 beta alpha))))) (fma.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i) #s(literal 1/4 binary64) (/.f64 (*.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) #s(literal 1/4 binary64)) (fma.f64 #s(literal -1/16 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) (+.f64 beta alpha)))) (+.f64 beta alpha)) (neg.f64 i)))) (neg.f64 i))) i)) (*.f64 i i)) |
(pow i 4) |
(pow.f64 i #s(literal 4 binary64)) |
(* (pow i 4) (+ 1 (+ (* 2 (/ alpha i)) (* 2 (/ beta i))))) |
(*.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (/.f64 beta i) (/.f64 alpha i)) #s(literal 1 binary64)) (pow.f64 i #s(literal 4 binary64))) |
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (+ (* -1 (/ (* alpha beta) i)) (* -1 (/ (pow (+ alpha beta) 2) i)))) i)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 beta alpha) (neg.f64 (fma.f64 alpha (/.f64 beta i) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) i)))) i)) (pow.f64 i #s(literal 4 binary64))) |
(* (pow i 4) (+ 1 (* -1 (/ (+ (* -1 (+ (* 2 alpha) (* 2 beta))) (* -1 (/ (+ (* -1 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ alpha beta))) i)) i))) i)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (/.f64 (fma.f64 #s(literal 1 binary64) (fma.f64 beta alpha (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 beta alpha) beta) alpha) i)) i))) i)) (pow.f64 i #s(literal 4 binary64))) |
(* 4 (pow i 2)) |
(*.f64 (*.f64 i i) #s(literal 4 binary64)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(*.f64 (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 i i)) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)))) |
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (+.f64 beta alpha) #s(literal -4 binary64) (/.f64 (neg.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i)) i)) (*.f64 i i)) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)))) |
(*.f64 (-.f64 #s(literal 4 binary64) (/.f64 (fma.f64 (+.f64 beta alpha) #s(literal -4 binary64) (/.f64 (neg.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) i)) i)) (*.f64 i i)) |
| 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 | 8180 | 117 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i))) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) |
(*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (neg.f64 (*.f64 alpha beta))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 3 binary64)) (pow.f64 (*.f64 alpha beta) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (neg.f64 (*.f64 alpha beta))) (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 3 binary64)) (pow.f64 (*.f64 alpha beta) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) alpha) beta))))) |
(*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 3 binary64)) (pow.f64 (*.f64 alpha beta) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (neg.f64 (*.f64 alpha beta))) (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))) (/.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))) (fma.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))) (/.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))) (*.f64 (/.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))) (/.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 alpha beta (*.f64 (+.f64 alpha beta) i)) #s(literal 3 binary64)) (pow.f64 i #s(literal 6 binary64))) (fma.f64 (fma.f64 alpha beta (*.f64 (+.f64 alpha beta) i)) (fma.f64 alpha beta (*.f64 (+.f64 alpha beta) i)) (-.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (fma.f64 alpha beta (*.f64 (+.f64 alpha beta) i)) (*.f64 i i))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha beta) i) #s(literal 3 binary64)) (pow.f64 (fma.f64 i i (*.f64 alpha beta)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 alpha beta) i) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 i i (*.f64 alpha beta)) (fma.f64 i i (*.f64 alpha beta))) (*.f64 (*.f64 (+.f64 alpha beta) i) (fma.f64 i i (*.f64 alpha beta)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (neg.f64 (*.f64 alpha beta))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 3 binary64)) (pow.f64 (*.f64 alpha beta) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (neg.f64 (*.f64 alpha beta))) (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))) (*.f64 (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i)) (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)))) (*.f64 (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (neg.f64 (*.f64 alpha beta)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 3 binary64)) (pow.f64 (*.f64 alpha beta) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) alpha) beta))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 3 binary64)) (pow.f64 (*.f64 alpha beta) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (neg.f64 (*.f64 alpha beta))) (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64))) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 3 binary64)) (pow.f64 (*.f64 alpha beta) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) alpha) beta)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 3 binary64)) (pow.f64 (*.f64 alpha beta) #s(literal 3 binary64))) (fma.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (neg.f64 (*.f64 alpha beta))) (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (neg.f64 (*.f64 alpha beta))) (-.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) alpha) beta))) (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 3 binary64)) (pow.f64 (*.f64 alpha beta) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)))) |
(fma.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) i) (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 i i (*.f64 alpha beta))) |
(fma.f64 (*.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) i) (pow.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)) #s(literal -1 binary64)) (fma.f64 i i (*.f64 alpha beta))) |
(fma.f64 (*.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 i i)) i) (pow.f64 (-.f64 (+.f64 alpha beta) i) #s(literal -1 binary64)) (*.f64 alpha beta)) |
(fma.f64 (*.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) i) (pow.f64 (fma.f64 i (-.f64 i (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 alpha beta)) |
(fma.f64 (*.f64 i (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)) (fma.f64 i i (*.f64 alpha beta))) |
(fma.f64 (*.f64 i (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (pow.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)) #s(literal -1 binary64)) (fma.f64 i i (*.f64 alpha beta))) |
(fma.f64 (*.f64 i (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 i i))) (pow.f64 (-.f64 (+.f64 alpha beta) i) #s(literal -1 binary64)) (*.f64 alpha beta)) |
(fma.f64 (*.f64 i (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (pow.f64 (fma.f64 i (-.f64 i (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 alpha beta)) |
(fma.f64 (-.f64 (pow.f64 (*.f64 (+.f64 alpha beta) i) #s(literal 2 binary64)) (pow.f64 i #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha beta) i (neg.f64 (*.f64 i i)))) (*.f64 alpha beta)) |
(fma.f64 (+.f64 (pow.f64 (*.f64 (+.f64 alpha beta) i) #s(literal 3 binary64)) (pow.f64 i #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (+.f64 alpha beta) i) #s(literal 2 binary64)) (-.f64 (pow.f64 i #s(literal 4 binary64)) (*.f64 (*.f64 (+.f64 alpha beta) i) (*.f64 i i))))) (*.f64 alpha beta)) |
(fma.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))))) |
(fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) |
(fma.f64 (+.f64 alpha beta) i (fma.f64 i i (*.f64 alpha beta))) |
(fma.f64 i (+.f64 (+.f64 alpha beta) i) (*.f64 alpha beta)) |
(fma.f64 i (+.f64 alpha beta) (fma.f64 i i (*.f64 alpha beta))) |
(fma.f64 alpha beta (*.f64 (+.f64 (+.f64 alpha beta) i) i)) |
(fma.f64 beta alpha (*.f64 (+.f64 (+.f64 alpha beta) i) i)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (neg.f64 (*.f64 alpha beta)))) (/.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (fma.f64 (+.f64 (+.f64 alpha beta) i) i (neg.f64 (*.f64 alpha beta))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))) (/.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i)))) |
(+.f64 (fma.f64 alpha beta (*.f64 (+.f64 alpha beta) i)) (*.f64 i i)) |
(+.f64 (/.f64 (pow.f64 (*.f64 alpha beta) #s(literal 2 binary64)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))) (neg.f64 (/.f64 (pow.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) #s(literal 2 binary64)) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i))))) |
(+.f64 (*.f64 (+.f64 alpha beta) i) (fma.f64 i i (*.f64 alpha beta))) |
(+.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) (*.f64 alpha beta)) |
(+.f64 (*.f64 alpha beta) (*.f64 (+.f64 (+.f64 alpha beta) i) i)) |
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(fma.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i)) |
(fma.f64 (*.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (pow.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (pow.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i)) |
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i)))) (pow.f64 (-.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta))) |
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) i) (-.f64 (*.f64 #s(literal 2 binary64) i) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta))) |
(fma.f64 (*.f64 (+.f64 alpha beta) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i)))) (pow.f64 (-.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i)) |
(fma.f64 (*.f64 (+.f64 alpha beta) (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) i) (-.f64 (*.f64 #s(literal 2 binary64) i) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta))) |
(fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) i) #s(literal 2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta))) |
(fma.f64 (*.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i))) (*.f64 (+.f64 alpha beta) (-.f64 alpha beta))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (-.f64 alpha beta))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i)) |
(fma.f64 (*.f64 (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i))) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (+.f64 alpha beta) (*.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 alpha beta)) #s(literal 2 binary64)) i)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (*.f64 (+.f64 alpha beta) (-.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 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (-.f64 alpha beta))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i)) |
(fma.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64))) (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) i) (-.f64 (*.f64 #s(literal 2 binary64) i) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i)) |
(fma.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal 4 binary64) (*.f64 i i)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 alpha beta) (-.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i)) |
(fma.f64 (*.f64 (*.f64 (+.f64 alpha beta) (-.f64 alpha beta)) (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (/.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 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i)) |
(fma.f64 (*.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.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 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i)) |
(fma.f64 (*.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 #s(literal 8 binary64) (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (/.f64 #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 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (*.f64 #s(literal 2 binary64) i) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta))) |
(fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) alpha (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i beta))) |
(fma.f64 (*.f64 #s(literal 2 binary64) i) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta))) |
(fma.f64 #s(literal 2 binary64) (*.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta))) |
(fma.f64 (+.f64 alpha beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i)) |
(fma.f64 i (*.f64 #s(literal 2 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta))) |
(fma.f64 alpha (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i))) (/.f64 (pow.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i) #s(literal 2 binary64)) (-.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i)))) |
(exp.f64 (log.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)))) |
(+.f64 (*.f64 alpha (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) alpha) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i beta))) |
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta))) |
(+.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (+.f64 alpha beta)) (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 2 binary64)) i)) |
Compiled 107 375 to 4 812 computations (95.5% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 382 | 14 | 1 396 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 1 383 | 14 | 1 397 |
| Status | Accuracy | Program |
|---|---|---|
| 34.0% | (/.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| 23.7% | (/.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| 16.0% | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| 34.1% | (/.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| ▶ | 15.8% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
| 19.4% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 alpha i) i)) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| ▶ | 28.4% | (/.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))) |
| 33.0% | (/.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))) | |
| 16.0% | (*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) i) (+.f64 (+.f64 alpha beta) i))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) | |
| ▶ | 41.0% | (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) |
| 34.8% | (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) | |
| 15.8% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (fma.f64 (+.f64 alpha i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (*.f64 beta beta))) | |
| ▶ | 36.5% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) |
| ▶ | 65.3% | #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 1 048 to 478 computations (54.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (+.f64 alpha beta) i) | |
| cost-diff | 0 | (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) | |
| cost-diff | 0 | (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) | |
| cost-diff | 704 | (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) | |
| cost-diff | 128 | (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) | |
| cost-diff | 128 | (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) | |
| cost-diff | 320 | (fma.f64 (+.f64 alpha i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta)))) | |
| cost-diff | 1216 | (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta)) | |
| cost-diff | 128 | (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) | |
| cost-diff | 128 | (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) | |
| cost-diff | 128 | (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) | |
| cost-diff | 704 | (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) | |
| cost-diff | 0 | (+.f64 alpha i) | |
| cost-diff | 0 | (/.f64 (+.f64 alpha i) beta) | |
| cost-diff | 0 | (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)) | |
| cost-diff | 0 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) | |
| cost-diff | 0 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
| 9 794× | lower-fma.f32 |
| 9 784× | lower-fma.f64 |
| 4 816× | lower-*.f32 |
| 4 790× | lower-*.f64 |
| 3 422× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 929 |
| 0 | 113 | 917 |
| 1 | 248 | 912 |
| 2 | 784 | 882 |
| 3 | 4026 | 838 |
| 4 | 6418 | 816 |
| 0 | 8075 | 794 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(literal 1/16 binary64) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) |
(*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)) |
(/.f64 (+.f64 alpha i) beta) |
(+.f64 alpha i) |
alpha |
i |
beta |
(/.f64 i beta) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i)) |
(+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) |
#s(literal 1/4 binary64) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i) |
(*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) |
(fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) |
#s(literal 2 binary64) |
(+.f64 beta alpha) |
beta |
alpha |
(-.f64 (neg.f64 alpha) beta) |
(neg.f64 alpha) |
i |
(*.f64 i i) |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(+.f64 alpha beta) |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 1 binary64) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))))) |
(fma.f64 (+.f64 alpha i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta)))) |
(+.f64 alpha i) |
alpha |
i |
(*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))) |
(-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta)) |
(/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) |
(*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) |
(+.f64 (+.f64 alpha i) i) |
beta |
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta) |
(*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) |
(fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) |
#s(literal 4 binary64) |
(*.f64 #s(literal 2 binary64) alpha) |
#s(literal 2 binary64) |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(+.f64 alpha beta) |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(+.f64 (+.f64 alpha beta) i) |
(+.f64 alpha beta) |
alpha |
beta |
i |
(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) |
#s(literal 2 binary64) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))) |
(/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
(fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) |
(*.f64 alpha beta) |
(-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha 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)) #s(literal 1/16 binary64)) |
#s(literal 1/16 binary64) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (/.f64 i beta) beta) (+.f64 alpha i))) |
(*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)) |
(*.f64 (/.f64 (/.f64 i beta) beta) (+.f64 alpha i)) |
(/.f64 (+.f64 alpha i) beta) |
(+.f64 alpha i) |
alpha |
i |
beta |
(/.f64 i beta) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (*.f64 i i) (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (*.f64 i i) (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i)) |
(*.f64 (*.f64 i i) (fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64))) |
(+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) |
(fma.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i) |
(*.f64 (/.f64 (+.f64 beta alpha) i) #s(literal 1/4 binary64)) |
(*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) |
(*.f64 (+.f64 beta alpha) #s(literal 1/4 binary64)) |
(fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) |
(+.f64 beta alpha) |
#s(literal 2 binary64) |
(+.f64 beta alpha) |
beta |
alpha |
(-.f64 (neg.f64 alpha) beta) |
(neg.f64 alpha) |
i |
(*.f64 i i) |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64)) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
(*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) |
(+.f64 alpha beta) |
(+.f64 beta alpha) |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 1 binary64) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (fma.f64 (/.f64 (+.f64 alpha i) beta) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) (+.f64 alpha i)) i)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (fma.f64 (/.f64 (+.f64 alpha i) beta) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) (+.f64 alpha i)) i)) |
(fma.f64 (+.f64 alpha i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta)))) |
(*.f64 (fma.f64 (/.f64 (+.f64 alpha i) beta) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) (+.f64 alpha i)) i) |
(+.f64 alpha i) |
alpha |
i |
(*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))) |
(*.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))))) |
(-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta)) |
(*.f64 (/.f64 (+.f64 alpha i) beta) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))))) |
(/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i alpha) beta) (+.f64 alpha i)) |
(*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) |
(*.f64 (fma.f64 #s(literal 2 binary64) i alpha) (+.f64 alpha i)) |
(+.f64 (+.f64 alpha i) i) |
(fma.f64 #s(literal 2 binary64) i alpha) |
beta |
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta) |
(*.f64 (/.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) beta) (+.f64 alpha i)) |
(*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) |
(fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) |
#s(literal 4 binary64) |
(*.f64 #s(literal 2 binary64) alpha) |
#s(literal 2 binary64) |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64)) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
(*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) |
(+.f64 alpha beta) |
(+.f64 beta alpha) |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) |
(*.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) 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 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (/.f64 (+.f64 (+.f64 beta alpha) i) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 (+.f64 beta alpha) i)) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) |
(*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 (+.f64 beta alpha) i)) |
(+.f64 (+.f64 alpha beta) i) |
(+.f64 (+.f64 beta alpha) i) |
(+.f64 alpha beta) |
(+.f64 beta alpha) |
alpha |
beta |
i |
(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) |
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) |
#s(literal 2 binary64) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
(+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))) |
(/.f64 (/.f64 (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 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
(/.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 alpha beta) i) i (*.f64 alpha beta)) |
(fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) |
(*.f64 alpha beta) |
(*.f64 beta alpha) |
(-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)) |
(-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))) | |
| accuracy | 0.0546875 | (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) | |
| accuracy | 0.14910126953688402 | (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) | |
| accuracy | 36.32253809741288 | (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) | |
| accuracy | 10.88069417783895 | (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) | |
| accuracy | 26.331851667227898 | (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta)) | |
| accuracy | 37.49454278031232 | #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))))) | |
| accuracy | 37.99475355451798 | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| accuracy | 0.0078125 | (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) | |
| accuracy | 0.28995439147321816 | (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i)) | |
| accuracy | 15.068532696425258 | #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i))) | |
| accuracy | 37.99475355451798 | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| accuracy | 0 | (+.f64 alpha i) | |
| accuracy | 0.00390625 | (/.f64 (+.f64 alpha i) beta) | |
| accuracy | 0.266288769536884 | (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)) | |
| accuracy | 40.534523198680134 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) | |
| accuracy | 22.222634827502873 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) 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)) |
| 176.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 845 to 60 computations (92.9% saved)
ival-add: 77.0ms (51.4% of total)ival-mult: 45.0ms (30% of total)ival-div: 19.0ms (12.7% of total)ival-sub: 7.0ms (4.7% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)) (patch (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)) #<representation binary64>) () ()) |
#s(alt (/.f64 (+.f64 alpha i) beta) (patch (/.f64 (+.f64 alpha i) beta) #<representation binary64>) () ()) |
#s(alt (+.f64 alpha i) (patch (+.f64 alpha i) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) (patch (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (patch (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) (patch (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (patch (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta)) (patch (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (+.f64 alpha i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta)))) (patch (fma.f64 (+.f64 alpha i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) (patch (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (patch (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (patch (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 alpha beta) i) (patch (+.f64 (+.f64 alpha beta) 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 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) (patch (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i))) (patch #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i)) (patch (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) (patch (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) (patch (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))))) (patch #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (patch (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (patch (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))) (patch (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (taylor 0 beta) (#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 41.0ms | beta | @ | inf | ((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (+ alpha i) (+ (* 2 (+ beta alpha)) (- (neg alpha) beta)) (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ (+ alpha beta) i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ 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 i) (+ (+ alpha i) i)) beta) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) |
| 23.0ms | alpha | @ | 0 | ((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (+ alpha i) (+ (* 2 (+ beta alpha)) (- (neg alpha) beta)) (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ (+ alpha beta) i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ 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 i) (+ (+ alpha i) i)) beta) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) |
| 22.0ms | i | @ | -inf | ((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (+ alpha i) (+ (* 2 (+ beta alpha)) (- (neg alpha) beta)) (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ (+ alpha beta) i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ 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 i) (+ (+ alpha i) i)) beta) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) |
| 20.0ms | 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)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (+ alpha i) (+ (* 2 (+ beta alpha)) (- (neg alpha) beta)) (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ (+ alpha beta) i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ 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 i) (+ (+ alpha i) i)) beta) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) |
| 15.0ms | beta | @ | 0 | ((/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (/ (+ alpha i) beta) (+ alpha i) (+ (* 2 (+ beta alpha)) (- (neg alpha) beta)) (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (+ (+ alpha beta) (* 2 i)) (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ (+ alpha beta) i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ 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 i) (+ (+ alpha i) i)) beta) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) |
| 1× | egg-herbie |
| 5 752× | lower-*.f64 |
| 5 752× | lower-*.f32 |
| 4 602× | lower-+.f64 |
| 4 602× | lower-+.f32 |
| 3 378× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2860 | 57253 |
| 0 | 8206 | 54710 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
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(/ (* i (+ alpha i)) (pow beta 2)) |
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(/ (* (+ alpha i) (+ alpha (* 2 i))) beta) |
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta) |
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta) |
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta) |
(/ (* i (+ alpha i)) (+ alpha (* 2 i))) |
(+ (* beta (- (+ (/ alpha (+ alpha (* 2 i))) (/ i (+ alpha (* 2 i)))) (/ (* i (+ alpha i)) (pow (+ alpha (* 2 i)) 2)))) (/ (* i (+ alpha i)) (+ alpha (* 2 i)))) |
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(/ (* i (+ alpha i)) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) |
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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)) |
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(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
beta |
(* beta (- (+ 1 (* 2 (/ alpha beta))) (/ alpha beta))) |
(* beta (- (+ 1 (* 2 (/ alpha beta))) (/ alpha beta))) |
(* beta (- (+ 1 (* 2 (/ alpha beta))) (/ alpha beta))) |
(* 1/4 (/ beta i)) |
(* beta (+ (* 1/4 (/ (- (* 2 (/ alpha i)) (/ alpha i)) beta)) (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 i))))) |
(* beta (+ (* 1/4 (/ (- (* 2 (/ alpha i)) (/ alpha i)) beta)) (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 i))))) |
(* beta (+ (* 1/4 (/ (- (* 2 (/ alpha i)) (/ alpha i)) beta)) (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 i))))) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta))))) |
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2)))) |
(* (pow beta 2) (- (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2))))) (/ 1 (pow beta 2)))) |
beta |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ i beta)) (/ alpha beta)))) |
(/ (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) |
(/ (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) |
(/ (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) |
(/ (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) |
(* i (+ alpha i)) |
(+ (* i (+ alpha i)) (/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))) beta)) |
(+ (* i (+ alpha i)) (/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))) beta)) |
(+ (* i (+ alpha i)) (/ (* i (- (* (+ alpha i) (+ alpha (* 2 i))) (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))) beta)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
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(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 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) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))))) (pow 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 beta) |
(/ (- (+ i (/ (* i (+ alpha i)) beta)) (/ (* i (+ 1 (+ (* 2 alpha) (* 4 i)))) beta)) beta) |
(/ (- (+ i (+ (* -1 (/ (+ (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ 1 (+ (* 2 alpha) (* 4 i))) (- (* i (+ alpha i)) (* i (+ 1 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (/ (* i (+ alpha i)) beta))) (/ (* i (+ 1 (+ (* 2 alpha) (* 4 i)))) beta)) beta) |
(/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (+ 1 (+ (* 2 alpha) (* 4 i))) (+ (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ 1 (+ (* 2 alpha) (* 4 i))) (- (* i (+ alpha i)) (* i (+ 1 (+ (* 2 alpha) (* 4 i))))))))) (* (+ 1 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* i (+ 1 (+ (* 2 alpha) (* 4 i)))))))) (pow beta 3))) (/ (* i (+ alpha i)) beta))) (+ (/ (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (pow beta 2)) (+ (/ (* i (+ 1 (+ (* 2 alpha) (* 4 i)))) beta) (/ (* (+ 1 (+ (* 2 alpha) (* 4 i))) (- (* i (+ alpha i)) (* i (+ 1 (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) beta) |
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)))) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(* i (+ alpha i)) |
(- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) |
(- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(* 1/4 (* beta i)) |
(* beta (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta))) |
(* beta (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta))) |
(* beta (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta))) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ i beta))))) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2)))))) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ i beta)) (/ (pow (+ alpha (* 2 i)) 2) (pow beta 2)))))) |
(/ (* i (+ alpha i)) (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))))) |
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta) |
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta) |
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta) |
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta) |
(+ 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)))) |
(/ (+ alpha i) beta) |
(/ (- (+ alpha (+ i (/ (* i (+ alpha i)) beta))) (/ (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1)) beta)) beta) |
(/ (- (+ alpha (+ i (+ (* -1 (/ (+ (* (+ alpha i) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1))) (pow beta 2))) (/ (* i (+ alpha i)) beta)))) (/ (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1)) beta)) beta) |
(/ (- (+ alpha (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* (+ alpha i) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1))) (* (+ alpha (* 2 i)) (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ alpha (* 2 i)) 1)))) (pow beta 3))) (/ (* i (+ alpha i)) beta)))) (+ (/ (* (+ alpha i) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (pow beta 2)) (+ (/ (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1)) beta) (/ (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1)) (pow beta 2))))) beta) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
(/ (+ alpha i) beta) |
beta |
(* -1 (* beta (- (* -1 (/ (- (* 2 alpha) alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (- (* 2 alpha) alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (- (* 2 alpha) alpha) beta)) 1))) |
(* 1/4 (/ beta i)) |
(* -1 (* beta (- (* -1 (/ (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i)))) beta)) (* 1/4 (/ 1 i))))) |
(* -1 (* beta (- (* -1 (/ (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i)))) beta)) (* 1/4 (/ 1 i))))) |
(* -1 (* beta (- (* -1 (/ (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i)))) beta)) (* 1/4 (/ 1 i))))) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (- (pow (+ alpha (* 2 i)) 2) 1) beta))) beta)))) |
beta |
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ alpha (* 2 i)) beta)) 1))) |
(* -1 (/ (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))) beta)) |
(* -1 (/ (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))) beta)) |
(* -1 (/ (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))) beta)) |
(* -1 (/ (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))) beta)) |
(* i (+ alpha i)) |
(+ (* -1 (/ (* i (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) beta)) (* i (+ alpha i))) |
(+ (* -1 (/ (* i (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) beta)) (* i (+ alpha i))) |
(+ (* -1 (/ (* i (- (* -1 (* (+ alpha i) (+ alpha (* 2 i)))) (* -1 (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) beta)) (* i (+ alpha i))) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))) (* (+ 1 (+ alpha (* 2 i))) (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (+ (/ (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))))))) beta) (/ (* (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))))) beta)))) (+ (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))) beta))) (pow beta 2)) |
(/ i beta) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* i (+ alpha i)) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) beta)) (+ (* i (+ alpha i)) (/ (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (* i (+ alpha i)) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta))) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (* i (+ alpha i)) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))) beta)) (/ (* (+ 1 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta)) (+ (* -1 (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (* i (+ alpha i)) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) beta)) (* i (+ alpha i))) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)) |
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))) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(* -1 (* i (+ (* -1 alpha) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i)))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i))))))) beta))) (+ (* -2 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 2 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) |
(* 1/4 (* beta i)) |
(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta)) (* -1/4 i)))) |
(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta)) (* -1/4 i)))) |
(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta)) (* -1/4 i)))) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (* 2 (/ (+ alpha (* 2 i)) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ alpha (* 2 i))) (* -1 (/ (pow (+ alpha (* 2 i)) 2) beta))) beta)))) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (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))) |
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(/ (* (+ alpha i) (+ alpha (* 2 i))) beta) |
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta) |
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta) |
(/ (* (+ alpha i) (+ alpha (* 2 i))) beta) |
(* -1 (+ (* -1 alpha) (* -1 i))) |
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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
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(/ (pow i 2) (pow beta 2)) |
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(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2))) |
(+ (/ (* alpha i) (pow beta 2)) (/ (pow i 2) (pow beta 2))) |
(/ i beta) |
(+ (/ alpha beta) (/ i beta)) |
(+ (/ alpha beta) (/ i beta)) |
(+ (/ alpha beta) (/ i beta)) |
i |
(+ alpha i) |
(+ alpha i) |
(+ alpha i) |
(- (* 2 beta) beta) |
(- (+ alpha (* 2 beta)) beta) |
(- (+ alpha (* 2 beta)) beta) |
(- (+ alpha (* 2 beta)) beta) |
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(- (pow (+ beta (* 2 i)) 2) 1) |
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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (+ 1 (+ beta (* 2 i))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1)))) |
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(+ (* alpha (- (+ (* 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))) |
(* 2 (/ (pow i 2) beta)) |
(+ (* 2 (/ (pow i 2) beta)) (* alpha (+ (* 2 (/ i beta)) (/ i beta)))) |
(+ (* 2 (/ (pow i 2) beta)) (* alpha (+ (* 2 (/ i beta)) (+ (/ alpha beta) (/ i beta))))) |
(+ (* 2 (/ (pow i 2) beta)) (* alpha (+ (* 2 (/ i beta)) (+ (/ alpha beta) (/ i beta))))) |
(/ (* 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)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) |
(+ (* alpha (- (+ (/ beta (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (/ i (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (/ (* i (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))))) (/ (* i (+ beta i)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) |
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))) (/ (* (- (+ (* 2 beta) (* 4 i)) 1) (- (+ (/ beta (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (/ i (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (/ (* i (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))))) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))))) (+ (/ beta (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (/ i (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))) (/ (* i (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))))) (/ (* i (+ beta i)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) |
(+ (* alpha (- (+ (* alpha (- (* alpha (- (/ (* i (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (* (pow (+ beta (* 2 i)) 3) (pow (- (+ beta (* 2 i)) 1) 3))) (+ (* -1 (/ (* (+ (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))) (/ (* (- (+ (* 2 beta) (* 4 i)) 1) (- (+ (/ beta (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (/ i (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (/ (* i (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))))) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (- (+ (* 2 beta) (* 4 i)) 1)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (+ (/ beta (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))) (/ i (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))))))) (+ (/ (* i (+ beta i)) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))) (/ (* (- (+ (* 2 beta) (* 4 i)) 1) (- (+ (/ beta (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (/ i (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) (/ (* i (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))))) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))))) (+ (/ beta (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (/ i (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))))) (/ (* i (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (* (pow (+ beta (* 2 i)) 2) (pow (- (+ beta (* 2 i)) 1) 2))))) (/ (* i (+ beta i)) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1)))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (* alpha i) (pow beta 2)) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(/ alpha beta) |
(* alpha (+ (/ 1 beta) (/ i (* alpha beta)))) |
(* alpha (+ (/ 1 beta) (/ i (* alpha beta)))) |
(* alpha (+ (/ 1 beta) (/ i (* alpha beta)))) |
alpha |
(* alpha (+ 1 (/ i alpha))) |
(* alpha (+ 1 (/ i alpha))) |
(* alpha (+ 1 (/ i alpha))) |
alpha |
(* alpha (- (+ 1 (* 2 (/ beta alpha))) (/ beta alpha))) |
(* alpha (- (+ 1 (* 2 (/ beta alpha))) (/ beta alpha))) |
(* alpha (- (+ 1 (* 2 (/ beta alpha))) (/ beta alpha))) |
(* 1/4 (/ alpha i)) |
(* alpha (+ (* 1/4 (/ (- (* 2 (/ beta i)) (/ beta i)) alpha)) (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 i))))) |
(* alpha (+ (* 1/4 (/ (- (* 2 (/ beta i)) (/ beta i)) alpha)) (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 i))))) |
(* alpha (+ (* 1/4 (/ (- (* 2 (/ beta i)) (/ beta i)) alpha)) (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 i))))) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha))))) |
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2)))) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(* -1 (/ (pow alpha 2) beta)) |
(* (pow alpha 2) (- (/ i (* alpha beta)) (+ (* 4 (/ i (* alpha beta))) (/ 1 beta)))) |
(* (pow alpha 2) (- (+ (* 2 (/ (pow i 2) (* (pow alpha 2) beta))) (/ i (* alpha beta))) (+ (* 4 (/ i (* alpha beta))) (+ (* 4 (/ (pow i 2) (* (pow alpha 2) beta))) (/ 1 beta))))) |
(* (pow alpha 2) (- (+ (* 2 (/ (pow i 2) (* (pow alpha 2) beta))) (/ i (* alpha beta))) (+ (* 4 (/ i (* alpha beta))) (+ (* 4 (/ (pow i 2) (* (pow alpha 2) beta))) (/ 1 beta))))) |
(* -1 (/ (* (pow alpha 2) i) beta)) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (/ i alpha) (/ (* i (- (/ i beta) (* 4 (/ i beta)))) alpha)))) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (/ i alpha) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 4 (/ (pow i 2) beta)))) (pow alpha 2)) (+ (/ (* i (- (/ i beta) (* 4 (/ i beta)))) alpha) (/ (pow i 2) (pow alpha 2))))))) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (/ i alpha) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 4 (/ (pow i 2) beta)))) (pow alpha 2)) (+ (/ (* i (- (/ i beta) (* 4 (/ i beta)))) alpha) (/ (pow i 2) (pow alpha 2))))))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ i alpha) |
(/ (- (+ i (/ (* i (+ beta i)) alpha)) (/ (* i (+ 1 (+ (* 2 beta) (* 4 i)))) alpha)) alpha) |
(/ (- (+ i (+ (* -1 (/ (+ (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 1 (+ (* 2 beta) (* 4 i))) (- (* i (+ beta i)) (* i (+ 1 (+ (* 2 beta) (* 4 i))))))) (pow alpha 2))) (/ (* i (+ beta i)) alpha))) (/ (* i (+ 1 (+ (* 2 beta) (* 4 i)))) alpha)) alpha) |
(/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (+ 1 (+ (* 2 beta) (* 4 i))) (+ (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 1 (+ (* 2 beta) (* 4 i))) (- (* i (+ beta i)) (* i (+ 1 (+ (* 2 beta) (* 4 i))))))))) (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ 1 (+ (* 2 beta) (* 4 i)))))))) (pow alpha 3))) (/ (* i (+ beta i)) alpha))) (+ (/ (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow alpha 2)) (+ (/ (* i (+ 1 (+ (* 2 beta) (* 4 i)))) alpha) (/ (* (+ 1 (+ (* 2 beta) (* 4 i))) (- (* i (+ beta i)) (* i (+ 1 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) alpha) |
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)))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(* i (+ beta i)) |
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha)) |
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(* 1/4 (* alpha i)) |
(* alpha (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha))) |
(* alpha (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha))) |
(* alpha (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha))) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha))))) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2)))))) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2)))))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(* i (+ beta i)) |
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha)) |
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(/ (pow alpha 2) beta) |
(* (pow alpha 2) (+ (* 2 (/ i (* alpha beta))) (+ (/ 1 beta) (/ i (* alpha beta))))) |
(* (pow alpha 2) (+ (* 2 (/ i (* alpha beta))) (+ (* 2 (/ (pow i 2) (* (pow alpha 2) beta))) (+ (/ 1 beta) (/ i (* alpha beta)))))) |
(* (pow alpha 2) (+ (* 2 (/ i (* alpha beta))) (+ (* 2 (/ (pow i 2) (* (pow alpha 2) beta))) (+ (/ 1 beta) (/ i (* alpha beta)))))) |
(+ 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)))) |
(/ (+ beta i) alpha) |
(/ (- (+ beta (+ i (/ (* i (+ beta i)) alpha))) (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha)) alpha) |
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (pow alpha 2))) (/ (* i (+ beta i)) alpha)))) (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha)) alpha) |
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (* (+ beta (* 2 i)) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ beta (* 2 i)) 1)))) (pow alpha 3))) (/ (* i (+ beta i)) alpha)))) (+ (/ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (pow alpha 2)) (+ (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha) (/ (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1)) (pow alpha 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)) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (* alpha i) (pow beta 2)) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(/ alpha beta) |
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta)))) |
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta)))) |
(* -1 (* alpha (- (* -1 (/ i (* alpha beta))) (/ 1 beta)))) |
alpha |
(* -1 (* alpha (- (* -1 (/ i alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ i alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ i alpha)) 1))) |
alpha |
(* -1 (* alpha (- (* -1 (/ (- (* 2 beta) beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (- (* 2 beta) beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (- (* 2 beta) beta) alpha)) 1))) |
(* 1/4 (/ alpha i)) |
(* -1 (* alpha (- (* -1 (/ (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i)))) alpha)) (* 1/4 (/ 1 i))))) |
(* -1 (* alpha (- (* -1 (/ (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i)))) alpha)) (* 1/4 (/ 1 i))))) |
(* -1 (* alpha (- (* -1 (/ (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i)))) alpha)) (* 1/4 (/ 1 i))))) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha)))) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(* -1 (/ (pow alpha 2) beta)) |
(* (pow alpha 2) (- (* -1 (/ (- (* -1 (/ i beta)) (* -4 (/ i beta))) alpha)) (/ 1 beta))) |
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ i beta)) (* -1 (/ (- (* 2 (/ (pow i 2) beta)) (* 4 (/ (pow i 2) beta))) alpha))) (* -4 (/ i beta))) alpha)) (/ 1 beta))) |
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ i beta)) (* -1 (/ (- (* 2 (/ (pow i 2) beta)) (* 4 (/ (pow i 2) beta))) alpha))) (* -4 (/ i beta))) alpha)) (/ 1 beta))) |
(* -1 (/ (* (pow alpha 2) i) beta)) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (* -1 (/ (+ (* -1 i) (* i (- (* -1 (/ i beta)) (* -4 (/ i beta))))) alpha)))) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (* -1 (/ (+ (* -1 i) (+ (* -1 (/ (+ (* i (- (* 2 (/ (pow i 2) beta)) (* 4 (/ (pow i 2) beta)))) (pow i 2)) alpha)) (* i (- (* -1 (/ i beta)) (* -4 (/ i beta)))))) alpha)))) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (* -1 (/ (+ (* -1 i) (+ (* -1 (/ (+ (* i (- (* 2 (/ (pow i 2) beta)) (* 4 (/ (pow i 2) beta)))) (pow i 2)) alpha)) (* i (- (* -1 (/ i beta)) (* -4 (/ i beta)))))) alpha)))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))) (* (+ 1 (+ beta (* 2 i))) (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (+ (/ (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))))))) alpha) (/ (* (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))) alpha)))) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/ i alpha) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) alpha)) (+ (* i (+ beta i)) (/ (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))) alpha)) (/ (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (+ (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) alpha)) (* i (+ beta i))) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha))) alpha)) |
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))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(* -1 (* i (+ (* -1 beta) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(* 1/4 (* alpha i)) |
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)) (* -1/4 i)))) |
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)) (* -1/4 i)))) |
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)) (* -1/4 i)))) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (pow (+ beta (* 2 i)) 2) alpha))) alpha)))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(* -1 (* i (+ (* -1 beta) (* -1 i)))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(/ (pow alpha 2) beta) |
(* (pow alpha 2) (+ (* -1 (/ (+ (* -2 (/ i beta)) (* -1 (/ i beta))) alpha)) (/ 1 beta))) |
(* (pow alpha 2) (+ (* -1 (/ (+ (* -2 (/ i beta)) (+ (* -2 (/ (pow i 2) (* alpha beta))) (* -1 (/ i beta)))) alpha)) (/ 1 beta))) |
(* (pow alpha 2) (+ (* -1 (/ (+ (* -2 (/ i beta)) (+ (* -2 (/ (pow i 2) (* alpha beta))) (* -1 (/ i beta)))) alpha)) (/ 1 beta))) |
(* -1 (+ (* -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))) |
(* -1 (/ (+ (* -1 beta) (* -1 i)) alpha)) |
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha)) |
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* i (+ beta i)) (+ (/ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) alpha) (/ (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))) alpha))) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha)) |
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (+ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))))) alpha)) (/ (* (+ beta (* 2 i)) (* (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) (- (+ beta (* 2 i)) 1))) alpha)) (+ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))))) alpha)) (* i (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) 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 i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(/ (* alpha i) (pow beta 2)) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(/ alpha beta) |
(+ (/ alpha beta) (/ i beta)) |
(+ (/ alpha beta) (/ i beta)) |
(+ (/ alpha beta) (/ i beta)) |
alpha |
(+ alpha i) |
(+ alpha i) |
(+ alpha i) |
(* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)) |
(/ (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta)))) i) |
(/ (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta)))) i) |
(/ (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta)))) i) |
(- (pow (+ alpha beta) 2) 1) |
(- (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) 1) |
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1) |
(- (+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) 1) |
(+ alpha beta) |
(+ alpha (+ beta (* 2 i))) |
(+ alpha (+ beta (* 2 i))) |
(+ alpha (+ beta (* 2 i))) |
(- (/ (pow alpha 2) beta) (* 2 (/ (pow alpha 2) beta))) |
(- (+ (* i (- (/ alpha beta) (* 4 (/ alpha beta)))) (/ (pow alpha 2) beta)) (* 2 (/ (pow alpha 2) beta))) |
(- (+ (* i (- (+ (* -2 (/ i beta)) (/ alpha beta)) (* 4 (/ alpha beta)))) (/ (pow alpha 2) beta)) (* 2 (/ (pow alpha 2) beta))) |
(- (+ (* i (- (+ (* -2 (/ i beta)) (/ alpha beta)) (* 4 (/ alpha beta)))) (/ (pow alpha 2) beta)) (* 2 (/ (pow alpha 2) beta))) |
(* i (- (+ alpha (/ (pow alpha 2) beta)) (* 2 (/ (pow alpha 2) beta)))) |
(* i (- (+ alpha (+ (* i (- (+ 1 (/ alpha beta)) (* 4 (/ alpha beta)))) (/ (pow alpha 2) beta))) (* 2 (/ (pow alpha 2) beta)))) |
(* i (- (+ alpha (+ (* i (- (+ 1 (+ (* -2 (/ i beta)) (/ alpha beta))) (* 4 (/ alpha beta)))) (/ (pow alpha 2) beta))) (* 2 (/ (pow alpha 2) beta)))) |
(* i (- (+ alpha (+ (* i (- (+ 1 (+ (* -2 (/ i beta)) (/ alpha beta))) (* 4 (/ alpha beta)))) (/ (pow alpha 2) beta))) (* 2 (/ (pow alpha 2) beta)))) |
(/ (* alpha (* beta i)) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1)))) |
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i |
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(/ (* alpha (* beta i)) (+ alpha beta)) |
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(* 1/4 (* i (- (* 2 (+ alpha beta)) (+ alpha beta)))) |
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(pow (+ alpha beta) 2) |
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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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(/ (pow alpha 2) beta) |
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(/ (* alpha beta) (+ alpha beta)) |
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(/ (* alpha beta) (* (+ alpha beta) (- (+ alpha beta) 1))) |
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1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2)))))) |
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3))))))))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2)))))) |
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3))))))))) |
(/ (pow i 2) (pow beta 2)) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(/ i beta) |
(* i (+ (/ 1 beta) (/ alpha (* beta i)))) |
(* i (+ (/ 1 beta) (/ alpha (* beta i)))) |
(* i (+ (/ 1 beta) (/ alpha (* beta i)))) |
i |
(* i (+ 1 (/ alpha i))) |
(* i (+ 1 (/ alpha i))) |
(* i (+ 1 (/ alpha i))) |
1/4 |
(+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i))) |
(+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i))) |
(+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i))) |
(* 4 (pow i 2)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2)))) |
(* (pow i 2) (- (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2)))) (/ 1 (pow i 2)))) |
(* 2 i) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
(* -2 (/ (pow i 2) beta)) |
(* (pow i 2) (- (/ alpha (* beta i)) (+ (* 2 (/ 1 beta)) (* 4 (/ alpha (* beta i)))))) |
(* (pow i 2) (- (+ (/ alpha (* beta i)) (/ (pow alpha 2) (* beta (pow i 2)))) (+ (* 2 (/ 1 beta)) (+ (* 2 (/ (pow alpha 2) (* beta (pow i 2)))) (* 4 (/ alpha (* beta i))))))) |
(* (pow i 2) (- (+ (/ alpha (* beta i)) (/ (pow alpha 2) (* beta (pow i 2)))) (+ (* 2 (/ 1 beta)) (+ (* 2 (/ (pow alpha 2) (* beta (pow i 2)))) (* 4 (/ alpha (* beta i))))))) |
(* -2 (/ (pow i 3) beta)) |
(* (pow i 3) (- (+ (/ 1 i) (/ alpha (* beta i))) (+ (* 2 (/ 1 beta)) (* 4 (/ alpha (* beta i)))))) |
(* (pow i 3) (- (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (pow alpha 2) (* beta (pow i 2)))))) (+ (* 2 (/ 1 beta)) (+ (* 2 (/ (pow alpha 2) (* beta (pow i 2)))) (* 4 (/ alpha (* beta i))))))) |
(* (pow i 3) (- (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (pow alpha 2) (* beta (pow i 2)))))) (+ (* 2 (/ 1 beta)) (+ (* 2 (/ (pow alpha 2) (* beta (pow i 2)))) (* 4 (/ alpha (* beta i))))))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/256 (/ (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) i))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (pow i 2))) (+ (* 1/256 (/ (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) i)) (* 1/16 (/ (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))) (pow i 2)))))) |
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (pow i 3))) (+ (* 1/256 (/ (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (pow i 2))) (+ (* 1/256 (/ (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) i)) (+ (* 1/16 (/ (* (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))) (pow i 3))) (+ (* 1/16 (/ (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))) (pow i 2))) (* 1/16 (/ (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))) (* 1/16 (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))))))) (pow i 3))))))))) |
1/4 |
(- (+ 1/4 (* 1/4 (/ (+ alpha beta) i))) (* 1/16 (/ (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta))) i))) |
(- (+ 1/4 (+ (* -1 (/ (+ (* 1/16 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 1/4 (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta))) (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta)))))))) (pow i 2))) (* 1/4 (/ (+ alpha beta) i)))) (* 1/16 (/ (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta))) i))) |
(- (+ 1/4 (+ (* -1 (/ (+ (* -1/4 (* (+ (* 1/16 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 1/4 (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta))) (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta)))))))) (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta))))) (* 1/4 (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta))))))))) (pow i 3))) (* 1/4 (/ (+ alpha beta) i)))) (+ (* 1/16 (/ (* (+ 1 (+ alpha beta)) (+ alpha beta)) (pow i 2))) (+ (* 1/16 (/ (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta))) i)) (* 1/4 (/ (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta))) (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta)))))) (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) (- (* 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)))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2)))))) |
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3))))))))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* 4 (pow i 2)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2))))) |
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2))))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/8 (/ (+ alpha beta) i)) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2)))))) |
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3))))))))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (+ alpha beta) i)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)))))) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))) |
(* 2 (/ (pow i 2) beta)) |
(* (pow i 2) (+ (* 2 (/ alpha (* beta i))) (+ (* 2 (/ 1 beta)) (/ alpha (* beta i))))) |
(* (pow i 2) (+ (* 2 (/ alpha (* beta i))) (+ (* 2 (/ 1 beta)) (+ (/ alpha (* beta i)) (/ (pow alpha 2) (* beta (pow i 2))))))) |
(* (pow i 2) (+ (* 2 (/ alpha (* beta i))) (+ (* 2 (/ 1 beta)) (+ (/ alpha (* beta i)) (/ (pow alpha 2) (* beta (pow i 2))))))) |
(* 1/2 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)))))) |
1/4 |
(- (+ 1/4 (* 1/4 (/ (+ alpha beta) i))) (* 1/16 (/ (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) i))) |
(- (+ 1/4 (+ (* 1/4 (/ (* alpha beta) (pow i 2))) (* 1/4 (/ (+ alpha beta) i)))) (+ (* 1/16 (/ (* (+ alpha beta) (- (+ alpha beta) 1)) (pow i 2))) (+ (* 1/16 (/ (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) i)) (* 1/4 (/ (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1)))))) (pow i 2)))))) |
(- (+ 1/4 (+ (* -1 (/ (+ (* 1/4 (* (+ alpha beta) (* (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (- (+ alpha beta) 1)))) (* 1/4 (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 (* alpha beta)) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1)))))))))))) (pow i 3))) (+ (* 1/4 (/ (* alpha beta) (pow i 2))) (* 1/4 (/ (+ alpha beta) i))))) (+ (* 1/16 (/ (* (+ alpha beta) (- (+ alpha beta) 1)) (pow i 2))) (+ (* 1/16 (/ (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) i)) (* 1/4 (/ (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1)))))) (pow i 2)))))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(/ (pow i 2) (pow beta 2)) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(/ i beta) |
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta)))) |
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta)))) |
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta)))) |
i |
(* -1 (* i (- (* -1 (/ alpha i)) 1))) |
(* -1 (* i (- (* -1 (/ alpha i)) 1))) |
(* -1 (* i (- (* -1 (/ alpha i)) 1))) |
1/4 |
(+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i))) |
(+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i))) |
(+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i))) |
(* 4 (pow i 2)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i)))) |
(* 2 i) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
(* -2 (/ (pow i 2) beta)) |
(* (pow i 2) (- (* -1 (/ (- (* -1 (/ alpha beta)) (* -4 (/ alpha beta))) i)) (* 2 (/ 1 beta)))) |
(* (pow i 2) (- (* -1 (/ (- (+ (* -1 (/ alpha beta)) (* -1 (/ (- (/ (pow alpha 2) beta) (* 2 (/ (pow alpha 2) beta))) i))) (* -4 (/ alpha beta))) i)) (* 2 (/ 1 beta)))) |
(* (pow i 2) (- (* -1 (/ (- (+ (* -1 (/ alpha beta)) (* -1 (/ (- (/ (pow alpha 2) beta) (* 2 (/ (pow alpha 2) beta))) i))) (* -4 (/ alpha beta))) i)) (* 2 (/ 1 beta)))) |
(* -2 (/ (pow i 3) beta)) |
(* -1 (* (pow i 3) (+ (* -1 (/ (+ 1 (* -1 (- (* -1 (/ alpha beta)) (* -4 (/ alpha beta))))) i)) (* 2 (/ 1 beta))))) |
(* -1 (* (pow i 3) (+ (* -1 (/ (+ 1 (+ (* -1 (- (* -1 (/ alpha beta)) (* -4 (/ alpha beta)))) (* -1 (/ (+ (* -1 alpha) (* -1 (- (/ (pow alpha 2) beta) (* 2 (/ (pow alpha 2) beta))))) i)))) i)) (* 2 (/ 1 beta))))) |
(* -1 (* (pow i 3) (+ (* -1 (/ (+ 1 (+ (* -1 (- (* -1 (/ alpha beta)) (* -4 (/ alpha beta)))) (* -1 (/ (+ (* -1 alpha) (* -1 (- (/ (pow alpha 2) beta) (* 2 (/ (pow alpha 2) beta))))) i)))) i)) (* 2 (/ 1 beta))))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* -1/256 (/ (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1/256 (/ (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) i)) (* 1/16 (/ (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/256 (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))) (* 1/16 (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1/256 (/ (+ (* -2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2))))) i)) (+ (* 1/16 (/ (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/256 (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))) (* 1/16 (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))))))) i)) (* 1/16 (/ (* (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) i))))) i))) i))) |
1/4 |
(- (+ 1/4 (* 1/4 (/ (+ alpha beta) i))) (* -1/16 (/ (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))) i))) |
(+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta)))))) (* -1 (/ (+ (* -1/16 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 1/4 (* (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))) (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta)))))))) i))) i))) |
(+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/16 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 1/4 (* (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))) (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta)))))))))) (* 1/4 (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))))))))) i)) (+ (* -1/16 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 1/4 (* (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))) (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))))))))) 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))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i)))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* 4 (pow i 2)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i)) (* -1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* 1/4 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)) (* -1/16 (/ (pow (+ alpha beta) 2) i)))) i)))) |
(* (pow i 2) (+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) (* 1/4 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1 (/ (* (+ alpha beta) (- (* 1/4 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1 (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))) (* -1/16 (pow (+ alpha beta) 2))))) i)) (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) i)))) i))) i)))) |
(* 2 (/ (pow i 2) beta)) |
(* (pow i 2) (+ (* -1 (/ (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) i)) (* 2 (/ 1 beta)))) |
(* (pow i 2) (+ (* -1 (/ (+ (* -2 (/ alpha beta)) (+ (* -1 (/ alpha beta)) (* -1 (/ (pow alpha 2) (* beta i))))) i)) (* 2 (/ 1 beta)))) |
(* (pow i 2) (+ (* -1 (/ (+ (* -2 (/ alpha beta)) (+ (* -1 (/ alpha beta)) (* -1 (/ (pow alpha 2) (* beta i))))) i)) (* 2 (/ 1 beta)))) |
(* 1/2 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))) |
1/4 |
(+ 1/4 (* -1 (/ (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) i))) |
(+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* alpha beta)) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))))))) i)) (* -1/4 (+ alpha beta))) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) i))) |
(+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* alpha beta)) (+ (* 1/4 (/ (* (+ alpha beta) (* (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) (- (+ alpha beta) 1))) i)) (* 1/4 (/ (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* 1/4 (* alpha beta)) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))))))))) i)))) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))))))) i)) (* -1/4 (+ alpha beta))) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) i))) |
| Outputs |
|---|
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) |
(*.f64 (/.f64 (*.f64 i i) (pow.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
(fma.f64 beta (-.f64 (/.f64 (*.f64 i (fma.f64 i (+.f64 alpha i) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)))) (*.f64 (pow.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 i i) (pow.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i)) (-.f64 (pow.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i))))) (pow.f64 (-.f64 (pow.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 i i) (pow.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (-.f64 (pow.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (+ (/ (* (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2)))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (* (pow (+ alpha (* 2 i)) 4) (pow (- (pow (+ alpha (* 2 i)) 2) 1) 2))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (pow (+ alpha (* 2 i)) 2) (- (pow (+ alpha (* 2 i)) 2) 1)))) |
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beta |
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(/ (* (+ alpha i) (+ alpha (* 2 i))) beta) |
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(* -1 (+ (* -1 alpha) (* -1 i))) |
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(* -1 (/ (+ (* -1 alpha) (* -1 i)) beta)) |
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(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta)) |
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(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* i (+ alpha i)) (+ (/ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) beta) (/ (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))) beta))) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta)) |
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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (pow (+ beta (* 2 i)) 2) (- (pow (+ beta (* 2 i)) 2) 1))) |
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(/ (* i (+ beta i)) (+ beta (* 2 i))) |
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(/ (* alpha i) (pow beta 2)) |
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(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
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(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
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(* alpha (+ (/ 1 beta) (/ i (* alpha beta)))) |
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(* alpha (+ (/ 1 beta) (/ i (* alpha beta)))) |
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alpha |
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(* alpha (+ 1 (/ i alpha))) |
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(* alpha (+ 1 (/ i alpha))) |
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alpha |
(* alpha (- (+ 1 (* 2 (/ beta alpha))) (/ beta alpha))) |
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(* alpha (- (+ 1 (* 2 (/ beta alpha))) (/ beta alpha))) |
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(pow alpha 2) |
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(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha))))) |
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(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2)))) |
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alpha |
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(* (pow alpha 2) (- (+ (* 2 (/ (pow i 2) (* (pow alpha 2) beta))) (/ i (* alpha beta))) (+ (* 4 (/ i (* alpha beta))) (+ (* 4 (/ (pow i 2) (* (pow alpha 2) beta))) (/ 1 beta))))) |
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(* (pow alpha 2) (- (+ (* 2 (/ (pow i 2) (* (pow alpha 2) beta))) (/ i (* alpha beta))) (+ (* 4 (/ i (* alpha beta))) (+ (* 4 (/ (pow i 2) (* (pow alpha 2) beta))) (/ 1 beta))))) |
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(* -1 (/ (* (pow alpha 2) i) beta)) |
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(* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (/ i alpha) (/ (* i (- (/ i beta) (* 4 (/ i beta)))) alpha)))) |
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(* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (/ i alpha) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 4 (/ (pow i 2) beta)))) (pow alpha 2)) (+ (/ (* i (- (/ i beta) (* 4 (/ i beta)))) alpha) (/ (pow i 2) (pow alpha 2))))))) |
(*.f64 (*.f64 alpha alpha) (fma.f64 #s(literal -1 binary64) (/.f64 i beta) (+.f64 (/.f64 i alpha) (fma.f64 i (/.f64 (*.f64 (/.f64 (*.f64 i i) beta) #s(literal -2 binary64)) (*.f64 alpha alpha)) (fma.f64 i (/.f64 (-.f64 (/.f64 i beta) (*.f64 #s(literal 4 binary64) (/.f64 i beta))) alpha) (/.f64 (*.f64 i i) (*.f64 alpha alpha))))))) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (/ i alpha) (+ (/ (* i (- (* 2 (/ (pow i 2) beta)) (* 4 (/ (pow i 2) beta)))) (pow alpha 2)) (+ (/ (* i (- (/ i beta) (* 4 (/ i beta)))) alpha) (/ (pow i 2) (pow alpha 2))))))) |
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(/ (* i (+ beta i)) (pow alpha 2)) |
(/.f64 (*.f64 i (+.f64 beta 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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(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
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(/ i alpha) |
(/.f64 i alpha) |
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i |
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alpha |
(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha)))) |
(*.f64 alpha (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)) (/.f64 i alpha))) |
(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha)))) |
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(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha)))) |
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(/ (* i (+ beta i)) (pow alpha 2)) |
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(* i (+ beta i)) |
(*.f64 i (+.f64 beta i)) |
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha)) |
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(* i (+ beta i)) |
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(pow alpha 2) |
(*.f64 alpha alpha) |
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha)))) |
(*.f64 (*.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha)))) |
(*.f64 (*.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) #s(literal 1 binary64)) alpha))) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ beta (* 2 i))) (* -1 (/ (- (pow (+ beta (* 2 i)) 2) 1) alpha))) alpha)))) |
(*.f64 (*.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) #s(literal 1 binary64)) alpha))) alpha)))) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(*.f64 (neg.f64 alpha) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) alpha) #s(literal -1 binary64))) |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(*.f64 (neg.f64 alpha) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) alpha) #s(literal -1 binary64))) |
(* -1 (* alpha (- (* -1 (/ (+ beta (* 2 i)) alpha)) 1))) |
(*.f64 (neg.f64 alpha) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) alpha) #s(literal -1 binary64))) |
(* -1 (/ (pow alpha 2) beta)) |
(neg.f64 (/.f64 (*.f64 alpha alpha) beta)) |
(* (pow alpha 2) (- (* -1 (/ (- (* -1 (/ i beta)) (* -4 (/ i beta))) alpha)) (/ 1 beta))) |
(*.f64 (*.f64 alpha alpha) (-.f64 (neg.f64 (/.f64 (*.f64 (/.f64 i beta) #s(literal 3 binary64)) alpha)) (/.f64 #s(literal 1 binary64) beta))) |
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ i beta)) (* -1 (/ (- (* 2 (/ (pow i 2) beta)) (* 4 (/ (pow i 2) beta))) alpha))) (* -4 (/ i beta))) alpha)) (/ 1 beta))) |
(*.f64 (*.f64 alpha alpha) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 i beta) (/.f64 (*.f64 (/.f64 (*.f64 i i) beta) #s(literal -2 binary64)) alpha)) (*.f64 #s(literal 4 binary64) (/.f64 i beta))) alpha)) (/.f64 #s(literal 1 binary64) beta))) |
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ i beta)) (* -1 (/ (- (* 2 (/ (pow i 2) beta)) (* 4 (/ (pow i 2) beta))) alpha))) (* -4 (/ i beta))) alpha)) (/ 1 beta))) |
(*.f64 (*.f64 alpha alpha) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (/.f64 i beta) (/.f64 (*.f64 (/.f64 (*.f64 i i) beta) #s(literal -2 binary64)) alpha)) (*.f64 #s(literal 4 binary64) (/.f64 i beta))) alpha)) (/.f64 #s(literal 1 binary64) beta))) |
(* -1 (/ (* (pow alpha 2) i) beta)) |
(neg.f64 (/.f64 (*.f64 (*.f64 alpha alpha) i) beta)) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (* -1 (/ (+ (* -1 i) (* i (- (* -1 (/ i beta)) (* -4 (/ i beta))))) alpha)))) |
(*.f64 (*.f64 alpha alpha) (fma.f64 #s(literal -1 binary64) (/.f64 i beta) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) i (*.f64 i (*.f64 (/.f64 i beta) #s(literal 3 binary64)))) alpha)))) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (* -1 (/ (+ (* -1 i) (+ (* -1 (/ (+ (* i (- (* 2 (/ (pow i 2) beta)) (* 4 (/ (pow i 2) beta)))) (pow i 2)) alpha)) (* i (- (* -1 (/ i beta)) (* -4 (/ i beta)))))) alpha)))) |
(*.f64 (*.f64 alpha alpha) (fma.f64 #s(literal -1 binary64) (/.f64 i beta) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) i (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 i (*.f64 (/.f64 (*.f64 i i) beta) #s(literal -2 binary64)) (*.f64 i i)) alpha) (*.f64 i (*.f64 (/.f64 i beta) #s(literal 3 binary64))))) alpha)))) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (* -1 (/ (+ (* -1 i) (+ (* -1 (/ (+ (* i (- (* 2 (/ (pow i 2) beta)) (* 4 (/ (pow i 2) beta)))) (pow i 2)) alpha)) (* i (- (* -1 (/ i beta)) (* -4 (/ i beta)))))) alpha)))) |
(*.f64 (*.f64 alpha alpha) (fma.f64 #s(literal -1 binary64) (/.f64 i beta) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) i (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 i (*.f64 (/.f64 (*.f64 i i) beta) #s(literal -2 binary64)) (*.f64 i i)) alpha) (*.f64 i (*.f64 (/.f64 i beta) #s(literal 3 binary64))))) alpha)))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/.f64 (*.f64 (neg.f64 i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (/.f64 (-.f64 (*.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64))))))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 i i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (fma.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64))))) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)))) (-.f64 (*.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)))))))))) alpha) (-.f64 (*.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)))))))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))) (* (+ 1 (+ beta (* 2 i))) (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (+ (/ (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))))))) alpha) (/ (* (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))) alpha)))) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 i (*.f64 #s(literal -1 binary64) (+.f64 beta i))) (fma.f64 (neg.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))))))) alpha) (fma.f64 (*.f64 i i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)))) (/.f64 (-.f64 (*.f64 (*.f64 i i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (fma.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64))))) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)))) (-.f64 (*.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)))))))))) alpha) (*.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)))) (/.f64 (-.f64 (*.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64))))))) alpha))))) (fma.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64))))) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)))) (-.f64 (*.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)))))))))) alpha) (-.f64 (*.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)))))))) alpha))) (*.f64 alpha alpha)) |
(/ i alpha) |
(/.f64 i alpha) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha))) alpha)) |
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(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) alpha)) (+ (* i (+ beta i)) (/ (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha))) alpha)) |
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(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))) alpha)) (/ (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (+ (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) alpha)) (* i (+ beta i))) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha))) alpha)) |
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i |
(+ i (* -1 (/ (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i))))) alpha))) |
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alpha |
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1))) |
(*.f64 (neg.f64 alpha) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta i) alpha) #s(literal -1 binary64))) |
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1))) |
(*.f64 (neg.f64 alpha) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta i) alpha) #s(literal -1 binary64))) |
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1))) |
(*.f64 (neg.f64 alpha) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta i) alpha) #s(literal -1 binary64))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/.f64 (*.f64 (neg.f64 i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))) (*.f64 alpha alpha)) |
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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 #s(literal -1 binary64) (+.f64 beta i))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
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(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(*.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 i i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(*.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (/.f64 (-.f64 (*.f64 (*.f64 i i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha)) (fma.f64 (*.f64 i i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) (/.f64 (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) alpha)))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha))) |
(* 1/4 (* alpha i)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 alpha i)) |
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)) (* -1/4 i)))) |
(*.f64 (neg.f64 alpha) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 i i) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) beta) i)))) alpha) (*.f64 #s(literal -1/4 binary64) i))) |
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)) (* -1/4 i)))) |
(*.f64 (neg.f64 alpha) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 i i) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) beta) i)))) alpha) (*.f64 #s(literal -1/4 binary64) i))) |
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)) (* -1/4 i)))) |
(*.f64 (neg.f64 alpha) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 i i) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) beta) i)))) alpha) (*.f64 #s(literal -1/4 binary64) i))) |
(pow alpha 2) |
(*.f64 alpha alpha) |
(* (pow alpha 2) (+ 1 (* 2 (/ (+ beta (* 2 i)) alpha)))) |
(*.f64 (*.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) 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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(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/.f64 (*.f64 (neg.f64 i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))) (*.f64 alpha alpha)) |
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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 #s(literal -1 binary64) (+.f64 beta 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))) |
(*.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (/.f64 (-.f64 (*.f64 (*.f64 i i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha)) (fma.f64 (*.f64 i i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) (/.f64 (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) alpha)))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha))) |
(/ (pow alpha 2) beta) |
(/.f64 (*.f64 alpha alpha) beta) |
(* (pow alpha 2) (+ (* -1 (/ (+ (* -2 (/ i beta)) (* -1 (/ i beta))) alpha)) (/ 1 beta))) |
(*.f64 (*.f64 alpha alpha) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 i beta) #s(literal -3 binary64)) alpha) (/.f64 #s(literal 1 binary64) beta))) |
(* (pow alpha 2) (+ (* -1 (/ (+ (* -2 (/ i beta)) (+ (* -2 (/ (pow i 2) (* alpha beta))) (* -1 (/ i beta)))) alpha)) (/ 1 beta))) |
(*.f64 (*.f64 alpha alpha) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 i beta) (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 i i) alpha) beta) (/.f64 (neg.f64 i) beta))) alpha) (/.f64 #s(literal 1 binary64) beta))) |
(* (pow alpha 2) (+ (* -1 (/ (+ (* -2 (/ i beta)) (+ (* -2 (/ (pow i 2) (* alpha beta))) (* -1 (/ i beta)))) alpha)) (/ 1 beta))) |
(*.f64 (*.f64 alpha alpha) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 i beta) (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 (*.f64 i i) alpha) beta) (/.f64 (neg.f64 i) beta))) alpha) (/.f64 #s(literal 1 binary64) beta))) |
(* -1 (+ (* -1 beta) (* -1 i))) |
(neg.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta 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 beta (*.f64 #s(literal 2 binary64) i)) (*.f64 #s(literal -1 binary64) (+.f64 beta 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))) |
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (/.f64 (fma.f64 (neg.f64 i) (+.f64 beta i) (-.f64 (/.f64 (*.f64 (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (-.f64 (*.f64 (neg.f64 i) (+.f64 beta i)) (*.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) alpha) (*.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (*.f64 #s(literal -1 binary64) (+.f64 beta 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))) |
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 i (+.f64 beta i) (/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (/.f64 (*.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 i) (+.f64 beta i)) (*.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) alpha) (*.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (-.f64 (*.f64 (neg.f64 i) (+.f64 beta i)) (*.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))))) alpha)) (*.f64 (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) alpha))) |
(* -1 (/ (+ (* -1 beta) (* -1 i)) alpha)) |
(neg.f64 (neg.f64 (/.f64 (+.f64 beta i) alpha))) |
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha)) |
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(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* i (+ beta i)) (+ (/ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) alpha) (/ (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))) alpha))) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha)) |
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(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (+ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))))) alpha)) (/ (* (+ beta (* 2 i)) (* (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) (- (+ beta (* 2 i)) 1))) alpha)) (+ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))))) alpha)) (* i (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha)) |
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(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(/.f64 (*.f64 (*.f64 alpha beta) i) (*.f64 (+.f64 alpha beta) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (* 2 (/ beta (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))) (+ (/ (* alpha (* beta (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))))) (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1)))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (+ (* 2 (/ beta (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (* i (- (/ 1 (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))) (+ (/ (* alpha (* beta (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))) (+ (/ (* (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (- (+ (* 2 (/ alpha (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (* 2 (/ beta (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))) (+ (/ (* alpha (* beta (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))))) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))) (/ (* (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))))))) (+ (/ (* alpha (* beta (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))))) (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1)))))) |
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(* i (+ 1 (* -1 (/ i (+ alpha beta))))) |
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(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
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(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
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(* 1/4 (* i (- (* 2 (+ alpha beta)) (+ alpha beta)))) |
(*.f64 (*.f64 #s(literal 1/4 binary64) i) (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) beta)) |
(* i (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))))) |
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(* i (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))))) |
(*.f64 i (*.f64 #s(literal 1/4 binary64) (+.f64 i (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) beta)))) |
(* i (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta))))) |
(*.f64 i (*.f64 #s(literal 1/4 binary64) (+.f64 i (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) beta)))) |
(pow (+ alpha beta) 2) |
(pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) |
(fma.f64 #s(literal 4 binary64) (*.f64 i (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) |
(fma.f64 i (*.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(+ (* i (+ (* 4 i) (* 4 (+ alpha beta)))) (pow (+ alpha beta) 2)) |
(fma.f64 i (*.f64 #s(literal 4 binary64) (+.f64 i (+.f64 alpha beta))) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(/.f64 (*.f64 (*.f64 alpha beta) i) (*.f64 (+.f64 alpha beta) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(/ (* alpha (* beta i)) (+ alpha beta)) |
(/.f64 (*.f64 (*.f64 alpha beta) i) (+.f64 alpha beta)) |
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(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
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(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
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(/ (pow alpha 2) beta) |
(/.f64 (*.f64 alpha alpha) beta) |
(+ (* i (+ (* 2 (/ alpha beta)) (/ alpha beta))) (/ (pow alpha 2) beta)) |
(fma.f64 i (*.f64 #s(literal 3 binary64) (/.f64 alpha beta)) (/.f64 (*.f64 alpha alpha) beta)) |
(+ (* i (+ (* 2 (/ alpha beta)) (+ (* 2 (/ i beta)) (/ alpha beta)))) (/ (pow alpha 2) beta)) |
(fma.f64 i (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (fma.f64 #s(literal 2 binary64) (/.f64 i beta) (/.f64 alpha beta))) (/.f64 (*.f64 alpha alpha) beta)) |
(+ (* i (+ (* 2 (/ alpha beta)) (+ (* 2 (/ i beta)) (/ alpha beta)))) (/ (pow alpha 2) beta)) |
(fma.f64 i (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (fma.f64 #s(literal 2 binary64) (/.f64 i beta) (/.f64 alpha beta))) (/.f64 (*.f64 alpha alpha) beta)) |
(/ (* alpha beta) (+ alpha beta)) |
(*.f64 alpha (/.f64 beta (+.f64 alpha beta))) |
(+ (* i (- 1 (* 2 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta))) |
(fma.f64 i (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (*.f64 alpha (/.f64 beta (+.f64 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))) |
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(+ (* 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))) |
(fma.f64 i (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 i (fma.f64 #s(literal -2 binary64) (*.f64 i (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 alpha beta)))) (+.f64 alpha beta))) (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (+.f64 alpha beta))))))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (*.f64 alpha (/.f64 beta (+.f64 alpha beta)))) |
(/ (* alpha beta) (* (+ alpha beta) (- (+ alpha beta) 1))) |
(*.f64 (/.f64 alpha (+.f64 alpha beta)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) |
(+ (* i (- (/ 1 (- (+ alpha beta) 1)) (/ (* alpha (* beta (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (+ alpha beta) 1)))) |
(fma.f64 i (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 alpha beta) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))) (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 (/.f64 alpha (+.f64 alpha beta)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))) |
(+ (* i (- (+ (* i (- (/ 1 (* (+ alpha beta) (- (+ alpha beta) 1))) (+ (* 4 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (/ 1 (- (+ alpha beta) 1)) (/ (* alpha (* beta (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2))))) (* (+ alpha beta) (- (+ alpha beta) 1)))))) (/ 1 (- (+ alpha beta) 1))) (/ (* alpha (* beta (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (+ alpha beta) 1)))) |
(fma.f64 i (fma.f64 i (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 (/.f64 alpha (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (/.f64 beta (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (+.f64 alpha beta)) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 alpha beta) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))) (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) #s(literal 2 binary64))))) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))) (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 alpha beta) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))) (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (pow.f64 (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) #s(literal 2 binary64)))))) (*.f64 (/.f64 alpha (+.f64 alpha beta)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))) |
(+ (* i (- (+ (* i (- (+ (* -1 (* i (+ (* 4 (/ (- (/ 1 (- (+ alpha beta) 1)) (/ (* alpha (* beta (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2)))) (* (+ alpha beta) (- (+ alpha beta) 1)))) (/ (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (/ 1 (* (+ alpha beta) (- (+ alpha beta) 1))) (+ (* 4 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (/ 1 (- (+ alpha beta) 1)) (/ (* alpha (* beta (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2))))) (* (+ alpha beta) (- (+ alpha beta) 1)))))) (* (+ alpha beta) (- (+ alpha beta) 1)))))) (/ 1 (* (+ alpha beta) (- (+ alpha beta) 1)))) (+ (* 4 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (/ 1 (- (+ alpha beta) 1)) (/ (* alpha (* beta (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2))))) (* (+ alpha beta) (- (+ alpha beta) 1)))))) (/ 1 (- (+ alpha beta) 1))) (/ (* alpha (* beta (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (+ alpha beta) 1)))) |
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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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1/16 |
#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 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i)))) |
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1/4 |
#s(literal 1/4 binary64) |
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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 i (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 alpha beta) #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)))) |
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i |
(* i (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 i (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha i)) (/.f64 beta i))) |
(* i (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 i (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha i)) (/.f64 beta i))) |
(* i (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 i (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha i)) (/.f64 beta i))) |
1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
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(* 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 i i) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)) (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 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)))))) |
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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)))))))) |
(*.f64 (*.f64 i i) (-.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 alpha (*.f64 beta (+.f64 alpha beta))) (pow.f64 i #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) (/.f64 (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 i i)))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 i i)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) beta))) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 alpha beta) i) (fma.f64 (+.f64 alpha beta) (/.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) beta)) (*.f64 i i)) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (+.f64 alpha beta) (*.f64 #s(literal 1/4 binary64) (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) beta)))))) (pow.f64 i #s(literal 3 binary64))))))))) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(*.f64 (*.f64 i i) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) beta) i)))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(*.f64 (*.f64 i i) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) beta) i)))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(*.f64 (*.f64 i i) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) beta) i)))) |
(* 4 (pow i 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 i i)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(*.f64 (*.f64 i i) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (+.f64 alpha beta) i)))) |
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2))))) |
(*.f64 (*.f64 i i) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 alpha beta) i) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 i i))))) |
(* (pow i 2) (+ 4 (+ (* 4 (/ (+ alpha beta) i)) (/ (pow (+ alpha beta) 2) (pow i 2))))) |
(*.f64 (*.f64 i i) (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 4 binary64) (/.f64 (+.f64 alpha beta) i) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 i i))))) |
1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
(+.f64 #s(literal 1/16 binary64) (-.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 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)))))) |
(-.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) (/.f64 (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 i i))))) (fma.f64 #s(literal 1/256 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 20 binary64))) (*.f64 i i)) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (+.f64 alpha beta) (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 #s(literal -1/8 binary64) (+.f64 alpha beta)))) (*.f64 i i)))))) |
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (pow i 3))) (+ (* 1/256 (/ (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (pow i 2))) (+ (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 3))) (+ (* 1/8 (/ (+ alpha beta) i)) (+ (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (pow i 2))) (* 2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2))))) (* 2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))))))) (pow i 3))))))))) |
(-.f64 (+.f64 #s(literal 1/16 binary64) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 alpha (*.f64 beta (+.f64 alpha beta))) (pow.f64 i #s(literal 3 binary64))) (*.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) (/.f64 (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 i i)))))) (fma.f64 #s(literal 1/256 binary64) (/.f64 (*.f64 #s(literal 4 binary64) (fma.f64 (+.f64 alpha beta) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 alpha beta) #s(literal 3 binary64)))) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/256 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 20 binary64))) (*.f64 i i)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 20 binary64))) (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 #s(literal -1/8 binary64) (+.f64 alpha beta)))) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 alpha beta) i) (*.f64 #s(literal 2 binary64) (fma.f64 (+.f64 alpha beta) (/.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 #s(literal -1/8 binary64) (+.f64 alpha beta))) (*.f64 i i)) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 (*.f64 #s(literal 1/16 binary64) (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/256 binary64) (fma.f64 #s(literal 4 binary64) (-.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) #s(literal 20 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (fma.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 #s(literal -1/8 binary64) (+.f64 alpha beta))))))) (pow.f64 i #s(literal 3 binary64)))))))))) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(*.f64 (*.f64 i i) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)) (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 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)))))) |
(*.f64 (*.f64 i i) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) (/.f64 (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 i i))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 i i)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 alpha beta) i) (/.f64 (*.f64 (+.f64 alpha beta) (*.f64 #s(literal 1/4 binary64) (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) beta))) (*.f64 i i)))))) |
(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/4 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/16 (/ (pow (+ alpha beta) 2) (pow i 2))) (+ (* 1/4 (/ (* (pow (+ alpha beta) 2) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 3))) (+ (* 1/4 (/ (+ alpha beta) i)) (+ (/ (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta)))) (pow i 2)) (/ (* (+ alpha beta) (- (* 1/4 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/16 (pow (+ alpha beta) 2)) (* (+ alpha beta) (- (* 1/4 (+ (* 2 alpha) (* 2 beta))) (* 1/4 (+ alpha beta))))))) (pow i 3)))))))) |
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(* 2 (/ (pow i 2) beta)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 i i) beta)) |
(* (pow i 2) (+ (* 2 (/ alpha (* beta i))) (+ (* 2 (/ 1 beta)) (/ alpha (* beta i))))) |
(*.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 alpha beta) i) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 (/.f64 alpha beta) i)))) |
(* (pow i 2) (+ (* 2 (/ alpha (* beta i))) (+ (* 2 (/ 1 beta)) (+ (/ alpha (* beta i)) (/ (pow alpha 2) (* beta (pow i 2))))))) |
(*.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 alpha beta) i) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 (/.f64 alpha beta) i)) (/.f64 (/.f64 (*.f64 alpha alpha) beta) (*.f64 i i))))) |
(* (pow i 2) (+ (* 2 (/ alpha (* beta i))) (+ (* 2 (/ 1 beta)) (+ (/ alpha (* beta i)) (/ (pow alpha 2) (* beta (pow i 2))))))) |
(*.f64 (*.f64 i i) (fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 alpha beta) i) (+.f64 (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 (/.f64 alpha beta) i)) (/.f64 (/.f64 (*.f64 alpha alpha) beta) (*.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 i (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)) 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 i (-.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 alpha (/.f64 beta (*.f64 i i)) (/.f64 (+.f64 alpha beta) i)))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 alpha beta) i) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) #s(literal 1/4 binary64))) (*.f64 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)))))) |
(*.f64 i (-.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 alpha beta) (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)))))) (pow.f64 i #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (fma.f64 alpha (/.f64 beta (*.f64 i i)) (/.f64 (+.f64 alpha beta) i))))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 alpha beta) i) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) #s(literal 1/4 binary64))) (*.f64 i i)))))) |
1/4 |
#s(literal 1/4 binary64) |
(- (+ 1/4 (* 1/4 (/ (+ alpha beta) i))) (* 1/16 (/ (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) i))) |
(-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 alpha beta) i))) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) i))) |
(- (+ 1/4 (+ (* 1/4 (/ (* alpha beta) (pow i 2))) (* 1/4 (/ (+ alpha beta) i)))) (+ (* 1/16 (/ (* (+ alpha beta) (- (+ alpha beta) 1)) (pow i 2))) (+ (* 1/16 (/ (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) i)) (* 1/4 (/ (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1)))))) (pow i 2)))))) |
(-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (fma.f64 alpha (/.f64 beta (*.f64 i i)) (/.f64 (+.f64 alpha beta) i)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))) (*.f64 i i)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) i) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))) (fma.f64 #s(literal 1/4 binary64) (+.f64 alpha beta) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))))) (*.f64 i i))))) |
(- (+ 1/4 (+ (* -1 (/ (+ (* 1/4 (* (+ alpha beta) (* (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (- (+ alpha beta) 1)))) (* 1/4 (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 (* alpha beta)) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1)))))))))))) (pow i 3))) (+ (* 1/4 (/ (* alpha beta) (pow i 2))) (* 1/4 (/ (+ alpha beta) i))))) (+ (* 1/16 (/ (* (+ alpha beta) (- (+ alpha beta) 1)) (pow i 2))) (+ (* 1/16 (/ (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) i)) (* 1/4 (/ (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1)))))) (pow i 2)))))) |
(-.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (+.f64 alpha beta) (fma.f64 #s(literal 1/4 binary64) (+.f64 alpha beta) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))))) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 alpha beta)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 alpha beta)) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))) (fma.f64 #s(literal 1/4 binary64) (+.f64 alpha beta) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))))))))) (pow.f64 i #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (fma.f64 alpha (/.f64 beta (*.f64 i i)) (/.f64 (+.f64 alpha beta) i))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))) (*.f64 i i)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) i) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))) (fma.f64 #s(literal 1/4 binary64) (+.f64 alpha beta) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))))) (*.f64 i i))))) |
1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
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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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(/ (pow i 2) (pow beta 2)) |
(/.f64 (*.f64 i i) (*.f64 beta beta)) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(*.f64 (*.f64 i i) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 (/.f64 alpha (*.f64 beta beta)) i))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(*.f64 (*.f64 i i) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 (/.f64 alpha (*.f64 beta beta)) i))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(*.f64 (*.f64 i i) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 (/.f64 alpha (*.f64 beta beta)) i))) |
(/ i beta) |
(/.f64 i beta) |
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta)))) |
(*.f64 (neg.f64 i) (-.f64 (/.f64 (neg.f64 alpha) (*.f64 beta i)) (/.f64 #s(literal 1 binary64) beta))) |
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta)))) |
(*.f64 (neg.f64 i) (-.f64 (/.f64 (neg.f64 alpha) (*.f64 beta i)) (/.f64 #s(literal 1 binary64) beta))) |
(* -1 (* i (- (* -1 (/ alpha (* beta i))) (/ 1 beta)))) |
(*.f64 (neg.f64 i) (-.f64 (/.f64 (neg.f64 alpha) (*.f64 beta i)) (/.f64 #s(literal 1 binary64) beta))) |
i |
(* -1 (* i (- (* -1 (/ alpha i)) 1))) |
(*.f64 (neg.f64 i) (fma.f64 #s(literal -1 binary64) (/.f64 alpha i) #s(literal -1 binary64))) |
(* -1 (* i (- (* -1 (/ alpha i)) 1))) |
(*.f64 (neg.f64 i) (fma.f64 #s(literal -1 binary64) (/.f64 alpha i) #s(literal -1 binary64))) |
(* -1 (* i (- (* -1 (/ alpha i)) 1))) |
(*.f64 (neg.f64 i) (fma.f64 #s(literal -1 binary64) (/.f64 alpha i) #s(literal -1 binary64))) |
1/4 |
#s(literal 1/4 binary64) |
(+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i))) |
(+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) beta) i))) |
(+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i))) |
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(+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ 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 (*.f64 i i) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (+.f64 alpha beta) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (- (pow (+ alpha beta) 2) 1) i))) i)))) |
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(* 2 i) |
(*.f64 #s(literal 2 binary64) i) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 2))) |
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(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 i i) beta)) |
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(*.f64 (*.f64 i i) (-.f64 (neg.f64 (/.f64 (*.f64 (/.f64 alpha beta) #s(literal 3 binary64)) i)) (/.f64 #s(literal 2 binary64) beta))) |
(* (pow i 2) (- (* -1 (/ (- (+ (* -1 (/ alpha beta)) (* -1 (/ (- (/ (pow alpha 2) beta) (* 2 (/ (pow alpha 2) beta))) i))) (* -4 (/ alpha beta))) i)) (* 2 (/ 1 beta)))) |
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(* (pow i 2) (- (* -1 (/ (- (+ (* -1 (/ alpha beta)) (* -1 (/ (- (/ (pow alpha 2) beta) (* 2 (/ (pow alpha 2) beta))) i))) (* -4 (/ alpha beta))) i)) (* 2 (/ 1 beta)))) |
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(* -2 (/ (pow i 3) beta)) |
(*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 i #s(literal 3 binary64)) beta)) |
(* -1 (* (pow i 3) (+ (* -1 (/ (+ 1 (* -1 (- (* -1 (/ alpha beta)) (* -4 (/ alpha beta))))) i)) (* 2 (/ 1 beta))))) |
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(* -1 (* (pow i 3) (+ (* -1 (/ (+ 1 (+ (* -1 (- (* -1 (/ alpha beta)) (* -4 (/ alpha beta)))) (* -1 (/ (+ (* -1 alpha) (* -1 (- (/ (pow alpha 2) beta) (* 2 (/ (pow alpha 2) beta))))) i)))) i)) (* 2 (/ 1 beta))))) |
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1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* -1/256 (/ (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) i))) |
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1/4 |
#s(literal 1/4 binary64) |
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(* 1/2 i) |
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i |
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1/16 |
#s(literal 1/16 binary64) |
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(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
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(* (pow i 2) (+ 1/4 (* -1 (/ (- (+ (* -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 i i) (+.f64 #s(literal 1/4 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) beta)) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) i))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 alpha beta) (*.f64 #s(literal 1/4 binary64) (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) beta))) i) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) 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)))) |
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(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(*.f64 (*.f64 i i) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) beta) i)))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(*.f64 (*.f64 i i) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) beta) i)))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(*.f64 (*.f64 i i) (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) alpha) beta) i)))) |
(* 4 (pow i 2)) |
(*.f64 #s(literal 4 binary64) (*.f64 i i)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
(*.f64 (*.f64 i i) (+.f64 #s(literal 4 binary64) (*.f64 #s(literal 4 binary64) (/.f64 (+.f64 alpha beta) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)))) |
(*.f64 (*.f64 i i) (+.f64 #s(literal 4 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (+.f64 alpha beta) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) i)) i)))) |
(* (pow i 2) (+ 4 (* -1 (/ (+ (* -4 (+ alpha beta)) (* -1 (/ (pow (+ alpha beta) 2) i))) i)))) |
(*.f64 (*.f64 i i) (+.f64 #s(literal 4 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (+.f64 alpha beta) (/.f64 (neg.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) 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 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)) (*.f64 #s(literal 1/8 binary64) (/.f64 (+.f64 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))) |
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(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -2 (/ (* (+ alpha beta) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -2 (* (+ alpha beta) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta))))) (* -1/256 (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))))) i)) (+ (* -1/256 (/ (+ (* -4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* -4 (pow (+ alpha beta) 3))) i)) (* 1/16 (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/8 (+ alpha beta)))) i))))) i))) i))) |
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(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(*.f64 (*.f64 i i) (+.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)) (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 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)))) |
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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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(* 2 (/ (pow i 2) beta)) |
(*.f64 #s(literal 2 binary64) (/.f64 (*.f64 i i) beta)) |
(* (pow i 2) (+ (* -1 (/ (+ (* -2 (/ alpha beta)) (* -1 (/ alpha beta))) i)) (* 2 (/ 1 beta)))) |
(*.f64 (*.f64 i i) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (/.f64 alpha beta) #s(literal -3 binary64)) i) (/.f64 #s(literal 2 binary64) beta))) |
(* (pow i 2) (+ (* -1 (/ (+ (* -2 (/ alpha beta)) (+ (* -1 (/ alpha beta)) (* -1 (/ (pow alpha 2) (* beta i))))) i)) (* 2 (/ 1 beta)))) |
(*.f64 (*.f64 i i) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 alpha beta) #s(literal -3 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 alpha alpha) beta) i))) i) (/.f64 #s(literal 2 binary64) beta))) |
(* (pow i 2) (+ (* -1 (/ (+ (* -2 (/ alpha beta)) (+ (* -1 (/ alpha beta)) (* -1 (/ (pow alpha 2) (* beta i))))) i)) (* 2 (/ 1 beta)))) |
(*.f64 (*.f64 i i) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (/.f64 alpha beta) #s(literal -3 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 alpha alpha) beta) i))) i) (/.f64 #s(literal 2 binary64) beta))) |
(* 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) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)) 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) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) #s(literal 1/4 binary64))))) i) (*.f64 (+.f64 alpha beta) #s(literal 1/4 binary64))) 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) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 alpha beta (/.f64 (*.f64 (+.f64 alpha beta) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 alpha beta) (*.f64 (+.f64 alpha beta) (*.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)))))) i)) (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 alpha beta)) (*.f64 (+.f64 alpha beta) #s(literal 1/4 binary64)))) i) (*.f64 (+.f64 alpha beta) #s(literal 1/4 binary64))) i) #s(literal -1/2 binary64))) |
1/4 |
#s(literal 1/4 binary64) |
(+ 1/4 (* -1 (/ (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) i))) |
(+.f64 #s(literal 1/4 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (+.f64 alpha beta) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))) i))) |
(+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* alpha beta)) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))))))) i)) (* -1/4 (+ alpha beta))) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) i))) |
(+.f64 #s(literal 1/4 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 alpha beta)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 alpha beta)) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))) (fma.f64 #s(literal -1/4 binary64) (+.f64 alpha beta) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))))))) i) (fma.f64 #s(literal -1/4 binary64) (+.f64 alpha beta) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))))) i))) |
(+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* alpha beta)) (+ (* 1/4 (/ (* (+ alpha beta) (* (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) (- (+ alpha beta) 1))) i)) (* 1/4 (/ (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* 1/4 (* alpha beta)) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))))))))) i)))) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))))))) i)) (* -1/4 (+ alpha beta))) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) i))) |
(+.f64 #s(literal 1/4 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) alpha) beta (-.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 alpha beta) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (+.f64 alpha beta) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))) i) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 alpha beta)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 alpha beta)) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))) (fma.f64 #s(literal -1/4 binary64) (+.f64 alpha beta) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))))))) i)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 alpha beta)) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))) (fma.f64 #s(literal -1/4 binary64) (+.f64 alpha beta) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))))))) i) (fma.f64 #s(literal -1/4 binary64) (+.f64 alpha beta) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))))) i))) |
| 5 120× | lower-*.f32 |
| 5 094× | lower-*.f64 |
| 4 034× | lower-fma.f32 |
| 4 024× | lower-fma.f64 |
| 2 980× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 698 |
| 0 | 113 | 587 |
| 1 | 538 | 568 |
| 2 | 5592 | 568 |
| 0 | 8118 | 559 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) |
(*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)) |
(/.f64 (+.f64 alpha i) beta) |
(+.f64 alpha i) |
(fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta)) |
(+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta)) |
(fma.f64 (+.f64 alpha i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(+.f64 (+.f64 alpha beta) i) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i))) |
(*.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 2 binary64) (+.f64 beta alpha) (-.f64 (neg.f64 alpha) beta))) i)) (*.f64 i i)) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (fma.f64 (+.f64 alpha i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (+.f64 alpha i)) beta))))) |
(/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) |
(/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
(/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (*.f64 (+.f64 alpha i) i) (pow.f64 beta #s(literal -2 binary64)))) |
(*.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) (pow.f64 beta #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 alpha i) i) (pow.f64 beta #s(literal -2 binary64))) |
(*.f64 (/.f64 i beta) (/.f64 (+.f64 alpha i) beta)) |
(*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta)) |
(*.f64 (+.f64 alpha i) (/.f64 (/.f64 i beta) beta)) |
(*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta))) |
(*.f64 (+.f64 alpha i) (pow.f64 (*.f64 beta (/.f64 beta i)) #s(literal -1 binary64))) |
(*.f64 i (/.f64 (+.f64 alpha i) (*.f64 beta beta))) |
(*.f64 i (pow.f64 (*.f64 beta (/.f64 beta (+.f64 alpha i))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 beta (*.f64 (/.f64 (+.f64 alpha i) beta) i)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha i) i)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 beta i) (/.f64 beta (+.f64 alpha i))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 beta (+.f64 alpha i)) (/.f64 beta i)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 i) (/.f64 (+.f64 alpha i) beta)) (neg.f64 beta)) |
(/.f64 (*.f64 (neg.f64 (+.f64 alpha i)) (/.f64 i beta)) (neg.f64 beta)) |
(/.f64 (*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) (neg.f64 beta)) |
(/.f64 (*.f64 (/.f64 i beta) #s(literal 1 binary64)) (/.f64 beta (+.f64 alpha i))) |
(/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) (neg.f64 i)) (neg.f64 beta)) |
(/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) #s(literal 1 binary64)) (/.f64 beta i)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i)) (neg.f64 beta)) |
(/.f64 (neg.f64 (*.f64 (+.f64 alpha i) i)) (neg.f64 (*.f64 beta beta))) |
(/.f64 (*.f64 (neg.f64 i) (neg.f64 (+.f64 alpha i))) (pow.f64 (neg.f64 beta) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 i) (+.f64 alpha i)) (*.f64 (neg.f64 beta) beta)) |
(/.f64 (*.f64 (neg.f64 i) #s(literal 1 binary64)) (*.f64 (neg.f64 beta) (/.f64 beta (+.f64 alpha i)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 alpha i))) (*.f64 (/.f64 beta i) (neg.f64 beta))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 alpha i)) (*.f64 (/.f64 beta i) beta)) |
(/.f64 (*.f64 i (neg.f64 (+.f64 alpha i))) (*.f64 beta (neg.f64 beta))) |
(/.f64 (*.f64 i #s(literal 1 binary64)) (*.f64 beta (/.f64 beta (+.f64 alpha i)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 alpha i)) (neg.f64 i)) (pow.f64 (neg.f64 beta) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (+.f64 alpha i)) #s(literal 1 binary64)) (*.f64 (neg.f64 beta) (/.f64 beta i))) |
(/.f64 (*.f64 (neg.f64 (+.f64 alpha i)) i) (*.f64 (neg.f64 beta) beta)) |
(/.f64 (*.f64 (+.f64 alpha i) (neg.f64 i)) (*.f64 beta (neg.f64 beta))) |
(/.f64 (*.f64 (+.f64 alpha i) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta i))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 i)) (*.f64 (/.f64 beta (+.f64 alpha i)) (neg.f64 beta))) |
(/.f64 (*.f64 #s(literal 1 binary64) i) (*.f64 (/.f64 beta (+.f64 alpha i)) beta)) |
(/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta) |
(/.f64 (*.f64 (+.f64 alpha i) i) (*.f64 beta beta)) |
(/.f64 (/.f64 i beta) (/.f64 beta (+.f64 alpha i))) |
(/.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 beta i)) |
(/.f64 #s(literal 1 binary64) (/.f64 beta (*.f64 (/.f64 (+.f64 alpha i) beta) i))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha i) i))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta i) (/.f64 beta (+.f64 alpha i)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 alpha i)) (/.f64 beta i))) |
(*.f64 (pow.f64 (/.f64 beta (*.f64 (+.f64 alpha i) (-.f64 alpha i))) #s(literal -1 binary64)) (pow.f64 (-.f64 alpha i) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 beta (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 beta #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 alpha i) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 beta #s(literal -1 binary64)) (+.f64 alpha i)) |
(*.f64 (neg.f64 (+.f64 alpha i)) (pow.f64 (neg.f64 beta) #s(literal -1 binary64))) |
(*.f64 (+.f64 alpha i) (pow.f64 beta #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha i) beta)) |
(pow.f64 (/.f64 (/.f64 beta (+.f64 alpha i)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 beta (+.f64 alpha i)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (+.f64 alpha i) (-.f64 alpha i)) (pow.f64 beta #s(literal -1 binary64))) (-.f64 alpha i)) |
(/.f64 (*.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 beta #s(literal -1 binary64))) (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 alpha i))) (neg.f64 (neg.f64 beta))) |
(/.f64 (*.f64 (+.f64 alpha i) #s(literal 1 binary64)) beta) |
(/.f64 (*.f64 (*.f64 (+.f64 alpha i) (-.f64 alpha i)) #s(literal 1 binary64)) (*.f64 (-.f64 alpha i) beta)) |
(/.f64 (*.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)) beta)) |
(/.f64 (*.f64 (+.f64 alpha i) (-.f64 alpha i)) (*.f64 beta (-.f64 alpha i))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 beta (+.f64 alpha i)))) |
(/.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (*.f64 beta (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)))) |
(/.f64 (neg.f64 (+.f64 alpha i)) (neg.f64 beta)) |
(/.f64 (+.f64 alpha i) beta) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 beta (+.f64 alpha i)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 alpha i))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 alpha i)) beta)) |
(neg.f64 (/.f64 (+.f64 alpha i) (neg.f64 beta))) |
(exp.f64 (*.f64 (log.f64 (/.f64 beta (+.f64 alpha i))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 alpha i) (-.f64 alpha i)) (pow.f64 (-.f64 alpha i) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 alpha i) (*.f64 (+.f64 alpha i) (-.f64 alpha i))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)) (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 i i) (*.f64 alpha alpha)) (-.f64 i alpha)) |
(/.f64 (neg.f64 (*.f64 (+.f64 alpha i) (-.f64 alpha i))) (neg.f64 (-.f64 alpha i))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64)))) (neg.f64 (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)))) |
(/.f64 (*.f64 (+.f64 alpha i) (-.f64 alpha i)) (-.f64 alpha i)) |
(/.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 i i (-.f64 (*.f64 alpha alpha) (*.f64 alpha i)))) |
(/.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 alpha i) (*.f64 (+.f64 alpha i) (-.f64 alpha i)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)) (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))))) |
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha i)) (/.f64 (*.f64 i i) (-.f64 alpha i))) |
(+.f64 alpha i) |
(+.f64 i alpha) |
(*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (neg.f64 alpha) beta) #s(literal 2 binary64))) (pow.f64 (-.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 (neg.f64 alpha) beta)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) (pow.f64 (-.f64 (neg.f64 alpha) beta) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (-.f64 (neg.f64 alpha) beta) (-.f64 (-.f64 (neg.f64 alpha) beta) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 (neg.f64 alpha) beta)) (-.f64 (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 (neg.f64 alpha) beta) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64) (*.f64 (-.f64 (neg.f64 alpha) beta) (-.f64 (-.f64 (neg.f64 alpha) beta) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) (fma.f64 #s(literal 8 binary64) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)) (pow.f64 (-.f64 (neg.f64 alpha) beta) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) #s(literal 2 binary64)) (*.f64 beta beta)) (+.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta)) |
(/.f64 (-.f64 (pow.f64 (-.f64 (neg.f64 alpha) beta) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64))) (-.f64 (-.f64 (neg.f64 alpha) beta) (*.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) #s(literal 2 binary64)) (fma.f64 beta beta (*.f64 (fma.f64 (+.f64 beta alpha) #s(literal 2 binary64) (neg.f64 alpha)) beta)))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 beta alpha) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (*.f64 beta alpha) (*.f64 (+.f64 (+.f64 beta alpha) i) i)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 2 binary64)) (pow.f64 (*.f64 beta alpha) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 (neg.f64 alpha) beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 3 binary64)) (pow.f64 (*.f64 beta alpha) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 (neg.f64 alpha) beta)) (pow.f64 (*.f64 beta alpha) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 3 binary64)) (pow.f64 (*.f64 beta alpha) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 beta alpha) (-.f64 (*.f64 beta alpha) (*.f64 (+.f64 (+.f64 beta alpha) i) i)) (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 beta alpha) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (-.f64 (*.f64 beta alpha) (*.f64 (+.f64 (+.f64 beta alpha) i) i)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 2 binary64)) (pow.f64 (*.f64 beta alpha) #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 (neg.f64 alpha) beta)))) |
(/.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 (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 3 binary64)) (pow.f64 (*.f64 beta alpha) #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 (neg.f64 alpha) beta)) (pow.f64 (*.f64 beta alpha) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 3 binary64)) (pow.f64 (*.f64 beta alpha) #s(literal 3 binary64))) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 (*.f64 beta alpha) (-.f64 (*.f64 beta alpha) (*.f64 (+.f64 (+.f64 beta alpha) i) i)) (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 2 binary64))))) |
(/.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 (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 (neg.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))) (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))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) (neg.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (-.f64 (pow.f64 (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)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) #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)))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (pow.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) #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))) (pow.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (/.f64 (pow.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 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (pow.f64 (*.f64 (-.f64 (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 -1 binary64))) |
(*.f64 #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))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (*.f64 (-.f64 (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 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (-.f64 (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)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.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 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) #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 (+.f64 (+.f64 beta alpha) i) 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)) (-.f64 (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 (neg.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))) (pow.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (pow.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
(/.f64 (*.f64 (/.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) 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)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))) #s(literal 1 binary64)) (*.f64 (neg.f64 (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 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) #s(literal 1 binary64)) (*.f64 (-.f64 (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 (pow.f64 (*.f64 beta alpha) #s(literal 2 binary64)) (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (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 (+.f64 (+.f64 beta alpha) i) i)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 2 binary64)) (pow.f64 (*.f64 beta alpha) #s(literal 2 binary64))) (*.f64 (*.f64 (-.f64 (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 (+.f64 (+.f64 beta alpha) i) i (*.f64 (neg.f64 alpha) beta)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (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)))))) |
(/.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) #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)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 3 binary64)) (pow.f64 (*.f64 beta alpha) #s(literal 3 binary64))) (*.f64 (*.f64 (-.f64 (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 (*.f64 (+.f64 (+.f64 beta alpha) i) i) (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 (neg.f64 alpha) beta)) (pow.f64 (*.f64 beta alpha) #s(literal 2 binary64))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 3 binary64)) (pow.f64 (*.f64 beta alpha) #s(literal 3 binary64))) (*.f64 (*.f64 (-.f64 (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 (*.f64 beta alpha) (-.f64 (*.f64 beta alpha) (*.f64 (+.f64 (+.f64 beta alpha) i) i)) (pow.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))) (*.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))) (neg.f64 (*.f64 (-.f64 (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 (neg.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (fma.f64 #s(literal -1 binary64) (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))) (neg.f64 (fma.f64 #s(literal -1 binary64) (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))) (-.f64 (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 (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 1 binary64) (/.f64 (*.f64 (-.f64 (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 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (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)))) #s(literal 1 binary64))) |
(/.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))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (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))))) |
(neg.f64 (/.f64 (/.f64 (neg.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)))) |
(neg.f64 (/.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 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (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))))) #s(literal -1 binary64))) |
Compiled 144 893 to 7 756 computations (94.6% saved)
30 alts after pruning (29 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 221 | 26 | 2 247 |
| Fresh | 6 | 3 | 9 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 231 | 30 | 2 261 |
| Status | Accuracy | Program |
|---|---|---|
| 16.0% | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| ▶ | 24.3% | (/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 (+.f64 alpha i) (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta)))) (+.f64 (fma.f64 #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))) |
| 20.1% | (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) (*.f64 (*.f64 (-.f64 (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 -1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64)))) | |
| 20.1% | (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 (+.f64 beta alpha) i))) (*.f64 (*.f64 (-.f64 (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 (+.f64 beta alpha)) #s(literal 1 binary64)))) | |
| 39.5% | (/.f64 (*.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 (+.f64 beta alpha) i)) #s(literal 1 binary64)) (*.f64 (+.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 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))) | |
| 19.1% | (/.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 #s(approx (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (neg.f64 (/.f64 (*.f64 alpha alpha) beta)))))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| 19.4% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 alpha i) i)) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| 33.0% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| 15.9% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (fma.f64 i (*.f64 (/.f64 (*.f64 i i) beta) #s(literal -2 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))) | |
| 35.3% | (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (-.f64 (+.f64 alpha (+.f64 i (*.f64 i (/.f64 (+.f64 alpha i) beta)))) (*.f64 (+.f64 alpha i) (/.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) beta)))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) | |
| 46.3% | (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) | |
| 35.1% | (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (-.f64 (+.f64 alpha (+.f64 i (*.f64 i (/.f64 (+.f64 alpha i) beta)))) (*.f64 (+.f64 alpha i) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i)) #s(literal 1 binary64)) beta))) beta))) | |
| ▶ | 36.8% | (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (+.f64 alpha i) beta))) |
| 16.3% | (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (*.f64 (/.f64 alpha (+.f64 alpha beta)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))) | |
| ▶ | 65.6% | (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
| 19.3% | (*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) | |
| 25.1% | (*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) #s(literal 1/4 binary64)) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) | |
| 15.8% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (fma.f64 (+.f64 alpha i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (*.f64 beta beta))) | |
| 36.5% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 i beta) (/.f64 beta (+.f64 alpha i)))) | |
| 36.5% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)) | |
| ▶ | 36.5% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) (neg.f64 beta))) |
| 25.8% | #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 (+.f64 alpha i) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta i)))) | |
| 27.1% | #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 alpha i) (/.f64 (/.f64 i beta) beta))) | |
| 18.1% | #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 alpha i) (/.f64 i (*.f64 beta beta)))) | |
| 32.8% | #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) beta) (/.f64 i beta)) (/.f64 i beta))) | |
| 15.5% | #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(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))) | |
| 34.6% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 i (*.f64 alpha beta))))) (/.f64 i beta))) | |
| 17.3% | #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(approx (* (/ (+ alpha i) beta) (/ i beta)) (/.f64 (*.f64 i i) (*.f64 beta beta)))) | |
| ▶ | 11.8% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
| ✓ | 65.3% | #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 1 634 to 867 computations (46.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (*.f64 i (+.f64 (+.f64 alpha i) (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta))) | |
| cost-diff | 192 | (+.f64 (+.f64 alpha i) (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta)) | |
| cost-diff | 704 | (/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 (+.f64 alpha i) (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta)))) (+.f64 (fma.f64 #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))) | |
| cost-diff | 768 | (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) | |
| cost-diff | 0 | (+.f64 (+.f64 alpha beta) i) | |
| cost-diff | 0 | (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) | |
| cost-diff | 0 | (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (+.f64 alpha i) beta))) | |
| cost-diff | 0 | (/.f64 i beta) | |
| cost-diff | 0 | (*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) | |
| cost-diff | 0 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) (neg.f64 beta))) | |
| cost-diff | 256 | (/.f64 (*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) (neg.f64 beta)) | |
| cost-diff | 0 | (/.f64 i (*.f64 beta beta)) | |
| cost-diff | 0 | (*.f64 alpha (/.f64 i (*.f64 beta beta))) | |
| cost-diff | 0 | #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta)))) | |
| cost-diff | 0 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) | |
| cost-diff | 0 | (+.f64 (+.f64 alpha beta) i) | |
| cost-diff | 0 | (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) | |
| cost-diff | 0 | (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
| 7 396× | lower-fma.f32 |
| 7 390× | lower-fma.f64 |
| 4 484× | lower-*.f32 |
| 4 466× | lower-*.f64 |
| 3 318× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 868 |
| 0 | 107 | 854 |
| 1 | 249 | 852 |
| 2 | 853 | 822 |
| 3 | 4445 | 798 |
| 4 | 6939 | 790 |
| 0 | 8286 | 774 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(+.f64 (+.f64 alpha beta) i) |
(+.f64 alpha beta) |
alpha |
beta |
i |
(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) |
#s(literal 2 binary64) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
#s(literal 1 binary64) |
#s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta)))) |
(*.f64 alpha (/.f64 i (*.f64 beta beta))) |
alpha |
(/.f64 i (*.f64 beta beta)) |
i |
(*.f64 beta beta) |
beta |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) (neg.f64 beta))) |
(/.f64 (*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) (neg.f64 beta)) |
(*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) |
(/.f64 i beta) |
i |
beta |
(neg.f64 (+.f64 alpha i)) |
(+.f64 alpha i) |
alpha |
(neg.f64 beta) |
(*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (+.f64 alpha i) beta))) |
(/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(+.f64 (+.f64 alpha beta) i) |
(+.f64 alpha beta) |
alpha |
beta |
i |
(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) |
#s(literal 2 binary64) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
#s(literal 1 binary64) |
#s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (+.f64 alpha i) beta)) |
(/.f64 (+.f64 alpha i) beta) |
(+.f64 alpha i) |
(/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 (+.f64 alpha i) (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta)))) (+.f64 (fma.f64 #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 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 (+.f64 alpha i) (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta)))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 (+.f64 alpha i) (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta)))) |
(*.f64 i (+.f64 (+.f64 alpha i) (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta))) |
i |
(+.f64 (+.f64 alpha i) (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta)) |
(+.f64 alpha i) |
alpha |
(/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) |
(*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) |
(-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) |
(fma.f64 #s(literal 2 binary64) i alpha) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) |
#s(literal 4 binary64) |
(*.f64 #s(literal 2 binary64) alpha) |
beta |
(+.f64 (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) |
#s(literal 1 binary64) |
(-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) i) (/.f64 (/.f64 (+.f64 i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(*.f64 (/.f64 (+.f64 i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)))) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 i (+.f64 beta alpha))) |
(+.f64 (+.f64 alpha beta) i) |
(+.f64 i (+.f64 beta alpha)) |
(+.f64 alpha beta) |
(+.f64 beta alpha) |
alpha |
beta |
i |
(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) |
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) |
#s(literal 2 binary64) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
(fma.f64 #s(literal 2 binary64) i (+.f64 #s(literal 1 binary64) (+.f64 beta alpha))) |
#s(literal 1 binary64) |
#s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 (/.f64 i (*.f64 beta beta)) alpha))) |
#s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta)))) |
#s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 (/.f64 i (*.f64 beta beta)) alpha)) |
(*.f64 alpha (/.f64 i (*.f64 beta beta))) |
(*.f64 (/.f64 i (*.f64 beta beta)) alpha) |
alpha |
(/.f64 i (*.f64 beta beta)) |
i |
(*.f64 beta beta) |
beta |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) (neg.f64 beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (/.f64 (+.f64 i alpha) beta) beta) i)) |
(/.f64 (*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) (neg.f64 beta)) |
(*.f64 (/.f64 (/.f64 (+.f64 i alpha) beta) beta) i) |
(*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) |
(*.f64 (/.f64 (neg.f64 i) beta) (+.f64 i alpha)) |
(/.f64 i beta) |
i |
beta |
(neg.f64 (+.f64 alpha i)) |
(neg.f64 (+.f64 i alpha)) |
(+.f64 alpha i) |
(+.f64 i alpha) |
alpha |
(neg.f64 beta) |
(*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (+.f64 alpha i) beta))) |
(*.f64 (/.f64 #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (+.f64 i alpha) beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (/.f64 (*.f64 (+.f64 i (+.f64 beta alpha)) i) (fma.f64 #s(literal 2 binary64) i (+.f64 #s(literal 1 binary64) (+.f64 beta alpha))))) |
(/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(*.f64 (/.f64 (+.f64 i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)))) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 i (+.f64 beta alpha))) |
(+.f64 (+.f64 alpha beta) i) |
(+.f64 i (+.f64 beta alpha)) |
(+.f64 alpha beta) |
(+.f64 beta alpha) |
alpha |
beta |
i |
(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) |
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) |
#s(literal 2 binary64) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
(fma.f64 #s(literal 2 binary64) i (+.f64 #s(literal 1 binary64) (+.f64 beta alpha))) |
#s(literal 1 binary64) |
#s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (+.f64 alpha i) beta)) |
#s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (+.f64 i alpha) beta)) |
(/.f64 (+.f64 alpha i) beta) |
(/.f64 (+.f64 i alpha) beta) |
(+.f64 alpha i) |
(+.f64 i alpha) |
(/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 (+.f64 alpha i) (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta)))) (+.f64 (fma.f64 #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 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 i alpha) (fma.f64 (/.f64 (fma.f64 i #s(literal -2 binary64) (neg.f64 alpha)) beta) i i))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 (+.f64 alpha i) (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta)))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 i alpha) (fma.f64 (/.f64 (fma.f64 i #s(literal -2 binary64) (neg.f64 alpha)) beta) i i))) (fma.f64 #s(literal 2 binary64) i (+.f64 #s(literal 1 binary64) (+.f64 beta alpha)))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 (+.f64 alpha i) (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta)))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 i alpha) (fma.f64 (/.f64 (fma.f64 i #s(literal -2 binary64) (neg.f64 alpha)) beta) i i))) |
(*.f64 i (+.f64 (+.f64 alpha i) (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta))) |
(*.f64 (+.f64 i alpha) (fma.f64 (/.f64 (fma.f64 i #s(literal -2 binary64) (neg.f64 alpha)) beta) i i)) |
i |
(+.f64 (+.f64 alpha i) (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta)) |
(*.f64 (+.f64 (/.f64 (fma.f64 i #s(literal -2 binary64) (neg.f64 alpha)) beta) #s(literal 1 binary64)) (+.f64 i alpha)) |
(+.f64 alpha i) |
(+.f64 i alpha) |
alpha |
(/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) |
(*.f64 (fma.f64 i #s(literal -2 binary64) (neg.f64 alpha)) (/.f64 (+.f64 i alpha) beta)) |
(*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) |
(*.f64 (fma.f64 i #s(literal -2 binary64) (neg.f64 alpha)) (+.f64 i alpha)) |
(-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) |
(fma.f64 i #s(literal -2 binary64) (neg.f64 alpha)) |
(fma.f64 #s(literal 2 binary64) i alpha) |
#s(literal 2 binary64) |
(fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) |
#s(literal 4 binary64) |
(*.f64 #s(literal 2 binary64) alpha) |
beta |
(+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 2 binary64) i (+.f64 #s(literal 1 binary64) (+.f64 beta alpha))) |
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) |
(+.f64 beta alpha) |
#s(literal 1 binary64) |
(-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2005928904197427 | (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) | |
| accuracy | 10.88069417783895 | (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) | |
| accuracy | 30.947084212407308 | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 (+.f64 alpha i) (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta)))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) | |
| accuracy | 37.49454278031232 | #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 (+.f64 alpha i) (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta)))) | |
| accuracy | 0.01171875 | (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) | |
| accuracy | 0.0546875 | (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) | |
| accuracy | 0.14910126953688402 | (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (+.f64 alpha i) beta))) | |
| accuracy | 40.36111858839139 | #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (+.f64 alpha i) beta)) | |
| accuracy | 0 | (neg.f64 beta) | |
| accuracy | 0.140625 | (*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) | |
| accuracy | 4.799693317764215 | (/.f64 (*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) (neg.f64 beta)) | |
| accuracy | 40.534523198680134 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) (neg.f64 beta))) | |
| accuracy | 8.72401650797788 | (*.f64 alpha (/.f64 i (*.f64 beta beta))) | |
| accuracy | 9.251852737053289 | (/.f64 i (*.f64 beta beta)) | |
| accuracy | 40.534523198680134 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) | |
| accuracy | 52.616934452116126 | #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta)))) | |
| accuracy | 0.01171875 | (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) | |
| accuracy | 0.0546875 | (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) | |
| accuracy | 0.14910126953688402 | (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) | |
| accuracy | 22.123590430008594 | #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) |
| 107.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 786 to 59 computations (92.5% saved)
ival-mult: 36.0ms (43.5% of total)ival-div: 20.0ms (24.2% of total)ival-add: 17.0ms (20.5% of total)ival-sub: 4.0ms (4.8% of total)ival-neg: 4.0ms (4.8% of total)exact: 1.0ms (1.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (patch (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (patch (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 alpha beta) i) (patch (+.f64 (+.f64 alpha beta) 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) beta) (/ i 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) beta) (/ i beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta)))) (patch #s(approx (* (/ (+ alpha i) beta) (/ i 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 (*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) (neg.f64 beta)) (patch (/.f64 (*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) (neg.f64 beta)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) (neg.f64 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 i beta) (neg.f64 (+.f64 alpha i))) (neg.f64 beta))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) (patch (*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) #<representation binary64>) () ()) |
#s(alt (/.f64 i beta) (patch (/.f64 i beta) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (+.f64 alpha i) beta))) (patch (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (+.f64 alpha i) beta))) #<representation binary64>) () ()) |
#s(alt (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) (patch (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) #<representation binary64>) () ()) |
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#s(alt (neg.f64 beta) (patch (neg.f64 beta) #<representation binary64>) () ()) |
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| Outputs |
|---|
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#s(alt (* (pow i 2) (- (* -1 (/ (+ (* -1 (/ (* alpha (- alpha (* 2 alpha))) (* beta i))) (+ (* -1 (/ (- alpha (* 2 alpha)) beta)) (* 2 (/ alpha beta)))) i)) (* 2 (/ 1 beta)))) (taylor -inf i) (#s(alt (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) (patch (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) #<representation binary64>) () ())) ()) |
#s(alt (* (pow i 2) (- (* -1 (/ (+ (* -1 (/ (* alpha (- alpha (* 2 alpha))) (* beta i))) (+ (* -1 (/ (- alpha (* 2 alpha)) beta)) (* 2 (/ alpha beta)))) i)) (* 2 (/ 1 beta)))) (taylor -inf i) (#s(alt (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) (patch (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | i | @ | inf | ((* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ (+ alpha beta) i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (* alpha (/ i (* beta beta))) (/ i (* beta beta)) (/ (* (/ i beta) (neg (+ alpha i))) (neg beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ i beta) (neg (+ alpha i))) (/ i beta) (* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha))) (/ (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (- (+ (* 2 i) (+ beta alpha)) 1)) (+ (+ alpha i) (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta)) (* i (+ (+ alpha i) (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (neg beta) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 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)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta)) |
| 8.0ms | i | @ | -inf | ((* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ (+ alpha beta) i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (* alpha (/ i (* beta beta))) (/ i (* beta beta)) (/ (* (/ i beta) (neg (+ alpha i))) (neg beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ i beta) (neg (+ alpha i))) (/ i beta) (* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha))) (/ (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (- (+ (* 2 i) (+ beta alpha)) 1)) (+ (+ alpha i) (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta)) (* i (+ (+ alpha i) (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (neg beta) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 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)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta)) |
| 8.0ms | beta | @ | 0 | ((* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ (+ alpha beta) i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (* alpha (/ i (* beta beta))) (/ i (* beta beta)) (/ (* (/ i beta) (neg (+ alpha i))) (neg beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ i beta) (neg (+ alpha i))) (/ i beta) (* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha))) (/ (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (- (+ (* 2 i) (+ beta alpha)) 1)) (+ (+ alpha i) (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta)) (* i (+ (+ alpha i) (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (neg beta) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 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)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta)) |
| 7.0ms | alpha | @ | inf | ((* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ (+ alpha beta) i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (* alpha (/ i (* beta beta))) (/ i (* beta beta)) (/ (* (/ i beta) (neg (+ alpha i))) (neg beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ i beta) (neg (+ alpha i))) (/ i beta) (* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha))) (/ (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (- (+ (* 2 i) (+ beta alpha)) 1)) (+ (+ alpha i) (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta)) (* i (+ (+ alpha i) (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (neg beta) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 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)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta)) |
| 7.0ms | i | @ | 0 | ((* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ (+ alpha beta) i) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ (+ alpha i) beta) (/ i beta)) (* alpha (/ i (* beta beta))) (/ i (* beta beta)) (/ (* (/ i beta) (neg (+ alpha i))) (neg beta)) (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (* (/ i beta) (neg (+ alpha i))) (/ i beta) (* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha))) (/ (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (- (+ (* 2 i) (+ beta alpha)) 1)) (+ (+ alpha i) (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta)) (* i (+ (+ alpha i) (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (neg beta) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 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)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta)) |
| 1× | egg-herbie |
| 5 870× | lower-*.f64 |
| 5 870× | lower-*.f32 |
| 4 376× | lower-+.f64 |
| 4 376× | lower-+.f32 |
| 3 380× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2835 | 66670 |
| 0 | 8279 | 63821 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) |
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2)))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) |
(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (+ (/ (* (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2)))))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2))))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2)))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) |
(+ (* beta (- (+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))) (- (/ (* i (+ alpha i)) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (+ (/ (* (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2)))))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2))))))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (+ (/ (* (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2)))))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 4 alpha) (* 8 i)))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2)))))))) (/ (* i (+ alpha i)) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (+ (/ (* (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2)))))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2))))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2)))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) |
(/ (* i (+ alpha i)) (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) |
(+ (* beta (- (/ i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (/ (* i (* (+ 1 (+ (* 2 alpha) (* 4 i))) (+ alpha i))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))) (/ (* i (+ alpha i)) (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) |
(+ (* beta (- (+ (* -1 (* beta (+ (/ (* i (+ alpha i)) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))) (/ (* (+ 1 (+ (* 2 alpha) (* 4 i))) (- (/ i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (/ (* i (* (+ 1 (+ (* 2 alpha) (* 4 i))) (+ alpha i))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))) (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (/ i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ (* i (* (+ 1 (+ (* 2 alpha) (* 4 i))) (+ alpha i))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))) (/ (* i (+ alpha i)) (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) |
(+ (* beta (- (+ (* beta (- (* beta (- (/ (* i (* (+ 1 (+ (* 2 alpha) (* 4 i))) (+ alpha i))) (* (pow (+ 1 (+ alpha (* 2 i))) 3) (pow (+ alpha (* 2 i)) 3))) (+ (* -1 (/ (* (+ 1 (+ (* 2 alpha) (* 4 i))) (+ (/ (* i (+ alpha i)) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))) (/ (* (+ 1 (+ (* 2 alpha) (* 4 i))) (- (/ i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (/ (* i (* (+ 1 (+ (* 2 alpha) (* 4 i))) (+ alpha i))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))) (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))))) (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ i (* (pow (+ 1 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2)))))) (+ (/ (* i (+ alpha i)) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))) (/ (* (+ 1 (+ (* 2 alpha) (* 4 i))) (- (/ i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (/ (* i (* (+ 1 (+ (* 2 alpha) (* 4 i))) (+ alpha i))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))) (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i))))))) (/ i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (/ (* i (* (+ 1 (+ (* 2 alpha) (* 4 i))) (+ alpha i))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (pow (+ alpha (* 2 i)) 2))))) (/ (* i (+ alpha i)) (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) |
(/ (* 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)))) |
(+ (* 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)))) |
(+ (* 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)))) |
(+ alpha i) |
(+ alpha (+ beta i)) |
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(/ i beta) |
(/ (- (+ i (/ (* i (+ alpha i)) beta)) (/ (* i (+ 1 (+ (* 2 alpha) (* 4 i)))) beta)) beta) |
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(/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (+ 1 (+ (* 2 alpha) (* 4 i))) (+ (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ 1 (+ (* 2 alpha) (* 4 i))) (- (* i (+ alpha i)) (* i (+ 1 (+ (* 2 alpha) (* 4 i))))))))) (* (+ 1 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* i (+ 1 (+ (* 2 alpha) (* 4 i)))))))) (pow beta 3))) (/ (* i (+ alpha i)) beta))) (+ (/ (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (pow beta 2)) (+ (/ (* i (+ 1 (+ (* 2 alpha) (* 4 i)))) beta) (/ (* (+ 1 (+ (* 2 alpha) (* 4 i))) (- (* i (+ alpha i)) (* i (+ 1 (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) beta) |
i |
(- (+ i (/ (* i (+ alpha i)) beta)) (/ (* i (+ alpha (* 2 i))) beta)) |
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beta |
(* beta (+ 1 (+ (/ alpha beta) (/ i beta)))) |
(* beta (+ 1 (+ (/ alpha beta) (/ i beta)))) |
(* beta (+ 1 (+ (/ alpha beta) (/ i beta)))) |
(/ (* i (+ alpha i)) (pow beta 2)) |
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(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* alpha i) (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)) |
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(* -1 (/ (* i (+ alpha i)) beta)) |
(* -1 (/ (* i (+ alpha i)) beta)) |
(* -1 (/ (* i (+ alpha i)) beta)) |
(* -1 (/ (* i (+ alpha i)) beta)) |
(/ i beta) |
(/ i beta) |
(/ i beta) |
(/ i beta) |
(/ (* i (+ alpha i)) (pow beta 2)) |
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(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
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(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 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) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(+ alpha i) |
(+ alpha (+ i (/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta))) |
(+ alpha (+ i (/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta))) |
(+ alpha (+ i (/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta))) |
(* i (+ alpha i)) |
(+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))))) beta)) |
(+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))))) beta)) |
(+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))))) beta)) |
(/ (+ alpha i) beta) |
(/ (- (+ alpha (+ i (/ (* i (+ alpha i)) beta))) (/ (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1)) beta)) beta) |
(/ (- (+ alpha (+ i (+ (* -1 (/ (+ (* (+ alpha i) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1))) (pow beta 2))) (/ (* i (+ alpha i)) beta)))) (/ (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1)) beta)) beta) |
(/ (- (+ alpha (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* (+ alpha i) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1))) (* (+ alpha (* 2 i)) (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ alpha (* 2 i)) 1)))) (pow beta 3))) (/ (* i (+ alpha i)) beta)))) (+ (/ (* (+ alpha i) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (pow beta 2)) (+ (/ (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1)) beta) (/ (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1)) (pow beta 2))))) beta) |
(* -1 beta) |
(* -1 beta) |
(* -1 beta) |
(* -1 beta) |
(/ (+ alpha i) beta) |
(/ (- (+ alpha (+ i (/ (* i (+ alpha i)) beta))) (/ (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1)) beta)) beta) |
(/ (- (+ alpha (+ i (+ (* -1 (/ (+ (* (+ alpha i) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1))) (pow beta 2))) (/ (* i (+ alpha i)) beta)))) (/ (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1)) beta)) beta) |
(/ (- (+ alpha (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* (+ alpha i) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1))) (* (+ alpha (* 2 i)) (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ alpha (* 2 i)) 1)))) (pow beta 3))) (/ (* i (+ alpha i)) beta)))) (+ (/ (* (+ alpha i) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (pow beta 2)) (+ (/ (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1)) beta) (/ (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1)) (pow beta 2))))) beta) |
(* i (+ alpha i)) |
(- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta)) |
(- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 alpha) (* 4 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))))) (* (pow (+ alpha (* 2 i)) 2) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))) beta) (+ (/ (* i (* (+ alpha i) (pow (+ alpha (* 2 i)) 2))) (pow beta 2)) (/ (* (+ (* 2 alpha) (* 4 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) |
(/ (* i (+ alpha i)) beta) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (+ alpha i))) beta)) beta) |
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (+ alpha i))) beta) (+ (/ (* i (* (+ alpha i) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)))) (pow beta 2)) (/ (* (+ 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (+ alpha i))))) (pow beta 2))))) beta) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ 1 (+ alpha (* 2 i))) (* (+ alpha i) (pow (+ alpha (* 2 i)) 2)))) (+ (* (+ 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (+ alpha i)))))))) (* (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (+ alpha i))))))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (+ alpha i))) beta) (+ (/ (* i (* (+ alpha i) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* 2 alpha) (* 4 i))) (pow (+ alpha (* 2 i)) 2)))) (pow beta 2)) (/ (* (+ 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ 1 (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i))))) (+ alpha i))))) (pow beta 2))))) beta) |
(/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta) |
(/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta) |
(/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta) |
(/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))) (* (+ 1 (+ alpha (* 2 i))) (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (+ (/ (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))))))) beta) (/ (* (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))))) beta)))) (+ (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))) beta))) (pow beta 2)) |
(/ i beta) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* i (+ alpha i)) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) beta)) (+ (* i (+ alpha i)) (/ (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (* i (+ alpha i)) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta))) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (* i (+ alpha i)) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))) beta)) (/ (* (+ 1 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta)) (+ (* -1 (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (* i (+ alpha i)) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) beta)) (* i (+ alpha i))) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)) |
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))) |
(* -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)) |
(* -1 (/ (* i (+ alpha i)) beta)) |
(* -1 (/ (* i (+ alpha i)) beta)) |
(* -1 (/ (* i (+ alpha i)) beta)) |
(* -1 (/ (* i (+ alpha i)) beta)) |
(/ i beta) |
(/ i beta) |
(/ i beta) |
(/ i beta) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))) (* (+ 1 (+ alpha (* 2 i))) (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (+ (/ (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))))))) beta) (/ (* (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))))) beta)))) (+ (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))) beta))) (pow beta 2)) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))) (* (+ 1 (+ alpha (* 2 i))) (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (+ (/ (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))))))) beta) (/ (* (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))))) beta)))) (+ (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))) beta))) (pow beta 2)) |
(+ alpha i) |
(+ alpha (+ i (/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta))) |
(+ alpha (+ i (/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta))) |
(+ alpha (+ i (/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta))) |
(* i (+ alpha i)) |
(+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))))) beta)) |
(+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))))) beta)) |
(+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))))) beta)) |
(* -1 (/ (+ (* -1 alpha) (* -1 i)) beta)) |
(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta)) |
(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* i (+ alpha i)) (+ (/ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) beta) (/ (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))) beta))) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta)) |
(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (+ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))))) beta)) (/ (* (+ alpha (* 2 i)) (* (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) (- (+ alpha (* 2 i)) 1))) beta)) (+ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))))) beta)) (* i (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta)) |
(* -1 beta) |
(* -1 beta) |
(* -1 beta) |
(* -1 beta) |
(* -1 (/ (+ (* -1 alpha) (* -1 i)) beta)) |
(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta)) |
(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* i (+ alpha i)) (+ (/ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) beta) (/ (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))) beta))) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta)) |
(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (+ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))))) beta)) (/ (* (+ alpha (* 2 i)) (* (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) (- (+ alpha (* 2 i)) 1))) beta)) (+ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))))) beta)) (* i (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 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 (/ (* i (+ (* -1 alpha) (* -1 i))) beta)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i)))) beta)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (/ (- (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (+ (* -1 (* i (* (+ (* -2 (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* -1 (pow (+ alpha (* 2 i)) 2))) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ 1 (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) (+ (* -1 alpha) (* -1 i)))))))))) beta))) (* -1 (* i (* (+ 1 (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i)))) beta)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (+ (* -1 (/ (* i (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (+ (* -1 alpha) (* -1 i))))) beta)) (+ (* -1 (/ (* (+ 1 (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) (- (* -1 (* (pow i 2) (pow (+ alpha i) 2))) (+ (* -1 (* i (* (+ (* -2 (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* -1 (pow (+ alpha (* 2 i)) 2))) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ 1 (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) (+ (* -1 alpha) (* -1 i))))))))))) beta)) (* -1 (/ (* (+ (* -2 (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* -1 (pow (+ alpha (* 2 i)) 2))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) (+ (* -1 alpha) (* -1 i))))))) beta))))) (+ (* -1 (* i (* (+ (* -2 (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* -1 (pow (+ alpha (* 2 i)) 2))) (+ (* -1 alpha) (* -1 i))))) (* -1 (* (+ 1 (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) (- (* -1 (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) (+ (* -1 alpha) (* -1 i)))))))))) beta))) (* -1 (* i (* (+ 1 (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i)))))) (+ (* -1 alpha) (* -1 i)))))) beta)) (* i (+ (* -1 alpha) (* -1 i)))) beta)) |
(/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta) |
(/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta) |
(/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta) |
(/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (+ 1 (+ beta (* 2 i))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1)))) |
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(/ (* i (- (* 2 i) (* 4 i))) beta) |
(+ (* alpha (- (+ (* -1 (/ i beta)) (* 2 (/ i beta))) (* 4 (/ i beta)))) (/ (* i (- (* 2 i) (* 4 i))) beta)) |
(+ (* alpha (- (+ (* -1 (/ alpha beta)) (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (* 4 (/ i beta)))) (/ (* i (- (* 2 i) (* 4 i))) beta)) |
(+ (* alpha (- (+ (* -1 (/ alpha beta)) (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (* 4 (/ i beta)))) (/ (* i (- (* 2 i) (* 4 i))) beta)) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ i alpha) |
(/ (- (+ i (/ (* i (+ beta i)) alpha)) (/ (* i (+ 1 (+ (* 2 beta) (* 4 i)))) alpha)) alpha) |
(/ (- (+ i (+ (* -1 (/ (+ (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 1 (+ (* 2 beta) (* 4 i))) (- (* i (+ beta i)) (* i (+ 1 (+ (* 2 beta) (* 4 i))))))) (pow alpha 2))) (/ (* i (+ beta i)) alpha))) (/ (* i (+ 1 (+ (* 2 beta) (* 4 i)))) alpha)) alpha) |
(/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (+ 1 (+ (* 2 beta) (* 4 i))) (+ (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 1 (+ (* 2 beta) (* 4 i))) (- (* i (+ beta i)) (* i (+ 1 (+ (* 2 beta) (* 4 i))))))))) (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ 1 (+ (* 2 beta) (* 4 i)))))))) (pow alpha 3))) (/ (* i (+ beta i)) alpha))) (+ (/ (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow alpha 2)) (+ (/ (* i (+ 1 (+ (* 2 beta) (* 4 i)))) alpha) (/ (* (+ 1 (+ (* 2 beta) (* 4 i))) (- (* i (+ beta i)) (* i (+ 1 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) alpha) |
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)))) |
(/ (* 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)) |
(* -1 (/ (* alpha i) beta)) |
(* alpha (+ (* -1 (/ i beta)) (* -1 (/ (pow i 2) (* alpha beta))))) |
(* alpha (+ (* -1 (/ i beta)) (* -1 (/ (pow i 2) (* alpha beta))))) |
(* alpha (+ (* -1 (/ i beta)) (* -1 (/ (pow i 2) (* alpha beta))))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(* -1 alpha) |
(* alpha (- (* 2 (/ i alpha)) (+ 1 (* 4 (/ i alpha))))) |
(* alpha (- (* 2 (/ i alpha)) (+ 1 (* 4 (/ i alpha))))) |
(* alpha (- (* 2 (/ i alpha)) (+ 1 (* 4 (/ i alpha))))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(* -1 (/ (pow alpha 2) beta)) |
(* (pow alpha 2) (- (+ (* -1 (/ i (* alpha beta))) (+ (* 2 (/ i (* alpha beta))) (/ 1 alpha))) (+ (* 4 (/ i (* alpha beta))) (/ 1 beta)))) |
(* (pow alpha 2) (- (+ (* -1 (/ i (* alpha beta))) (+ (* 2 (/ i (* alpha beta))) (+ (/ 1 alpha) (+ (/ i (pow alpha 2)) (/ (* i (- (* 2 i) (* 4 i))) (* (pow alpha 2) beta)))))) (+ (* 4 (/ i (* alpha beta))) (/ 1 beta)))) |
(* (pow alpha 2) (- (+ (* -1 (/ i (* alpha beta))) (+ (* 2 (/ i (* alpha beta))) (+ (/ 1 alpha) (+ (/ i (pow alpha 2)) (/ (* i (- (* 2 i) (* 4 i))) (* (pow alpha 2) beta)))))) (+ (* 4 (/ i (* alpha beta))) (/ 1 beta)))) |
(* -1 (/ (* (pow alpha 2) i) beta)) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (/ (* i (- (+ 1 (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (* 4 (/ i beta)))) alpha))) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (/ (* i (+ i (/ (* i (- (* 2 i) (* 4 i))) beta))) (pow alpha 2)) (/ (* i (- (+ 1 (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (* 4 (/ i beta)))) alpha)))) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (/ (* i (+ i (/ (* i (- (* 2 i) (* 4 i))) beta))) (pow alpha 2)) (/ (* i (- (+ 1 (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (* 4 (/ i beta)))) alpha)))) |
(/ (+ beta i) alpha) |
(/ (- (+ beta (+ i (/ (* i (+ beta i)) alpha))) (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha)) alpha) |
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (pow alpha 2))) (/ (* i (+ beta i)) alpha)))) (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha)) alpha) |
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (* (+ beta (* 2 i)) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ beta (* 2 i)) 1)))) (pow alpha 3))) (/ (* i (+ beta i)) alpha)))) (+ (/ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (pow alpha 2)) (+ (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha) (/ (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1)) (pow alpha 2))))) alpha) |
(/ (+ beta i) alpha) |
(/ (- (+ beta (+ i (/ (* i (+ beta i)) alpha))) (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha)) alpha) |
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (pow alpha 2))) (/ (* i (+ beta i)) alpha)))) (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha)) alpha) |
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (* (+ beta (* 2 i)) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ beta (* 2 i)) 1)))) (pow alpha 3))) (/ (* i (+ beta i)) alpha)))) (+ (/ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (pow alpha 2)) (+ (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha) (/ (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1)) (pow alpha 2))))) alpha) |
(* i (+ beta i)) |
(- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha)) |
(- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(/ (* i (+ beta i)) alpha) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (+ beta i))) alpha)) alpha) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (+ beta i))) alpha) (+ (/ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)))) (pow alpha 2)) (/ (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (+ beta i))))) (pow alpha 2))))) alpha) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ 1 (+ beta (* 2 i))) (* (+ beta i) (pow (+ beta (* 2 i)) 2)))) (+ (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (+ beta i)))))))) (* (+ (* (+ 1 (+ beta (* 2 i))) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (+ beta i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (+ beta i))) alpha) (+ (/ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (+ (* 2 beta) (* 4 i))) (pow (+ beta (* 2 i)) 2)))) (pow alpha 2)) (/ (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ 1 (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i))))) (+ beta i))))) (pow alpha 2))))) alpha) |
(* -1 (/ (pow alpha 2) beta)) |
(* (pow alpha 2) (- (+ (* -1 (/ i (* alpha beta))) (* 2 (/ i (* alpha beta)))) (+ (* 4 (/ i (* alpha beta))) (/ 1 beta)))) |
(* (pow alpha 2) (- (+ (* -1 (/ i (* alpha beta))) (+ (* 2 (/ i (* alpha beta))) (/ (* i (- (* 2 i) (* 4 i))) (* (pow alpha 2) beta)))) (+ (* 4 (/ i (* alpha beta))) (/ 1 beta)))) |
(* (pow alpha 2) (- (+ (* -1 (/ i (* alpha beta))) (+ (* 2 (/ i (* alpha beta))) (/ (* i (- (* 2 i) (* 4 i))) (* (pow alpha 2) beta)))) (+ (* 4 (/ i (* alpha beta))) (/ 1 beta)))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))) (* (+ 1 (+ beta (* 2 i))) (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (+ (/ (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))))))) alpha) (/ (* (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))) alpha)))) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/ i alpha) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) alpha)) (+ (* i (+ beta i)) (/ (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))) alpha)) (/ (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (+ (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) alpha)) (* i (+ beta i))) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha))) alpha)) |
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))) |
(* -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)) |
(* -1 (/ (* alpha i) beta)) |
(* -1 (* alpha (+ (/ i beta) (/ (pow i 2) (* alpha beta))))) |
(* -1 (* alpha (+ (/ i beta) (/ (pow i 2) (* alpha beta))))) |
(* -1 (* alpha (+ (/ i beta) (/ (pow i 2) (* alpha beta))))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))) (* (+ 1 (+ beta (* 2 i))) (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (+ (/ (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))))))) alpha) (/ (* (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))) alpha)))) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(* -1 alpha) |
(* -1 (* alpha (+ 1 (* -1 (/ (- (* 2 i) (* 4 i)) alpha))))) |
(* -1 (* alpha (+ 1 (* -1 (/ (- (* 2 i) (* 4 i)) alpha))))) |
(* -1 (* alpha (+ 1 (* -1 (/ (- (* 2 i) (* 4 i)) alpha))))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))) (* (+ 1 (+ beta (* 2 i))) (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (+ (/ (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))))))) alpha) (/ (* (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))) alpha)))) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(* -1 (/ (pow alpha 2) beta)) |
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta)) 1) alpha)) (/ 1 beta))) |
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (+ i (/ (* i (- (* 2 i) (* 4 i))) beta)) alpha)) (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta))) 1) alpha)) (/ 1 beta))) |
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (+ i (/ (* i (- (* 2 i) (* 4 i))) beta)) alpha)) (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta))) 1) alpha)) (/ 1 beta))) |
(* -1 (/ (* (pow alpha 2) i) beta)) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (* -1 (/ (* i (- (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta)) 1)) alpha)))) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (* -1 (/ (+ (* -1 (/ (* i (+ i (/ (* i (- (* 2 i) (* 4 i))) beta))) alpha)) (* i (- (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta)) 1))) alpha)))) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (* -1 (/ (+ (* -1 (/ (* i (+ i (/ (* i (- (* 2 i) (* 4 i))) beta))) alpha)) (* i (- (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta)) 1))) alpha)))) |
(* -1 (/ (+ (* -1 beta) (* -1 i)) alpha)) |
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha)) |
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* i (+ beta i)) (+ (/ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) alpha) (/ (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))) alpha))) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha)) |
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (+ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))))) alpha)) (/ (* (+ beta (* 2 i)) (* (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) (- (+ beta (* 2 i)) 1))) alpha)) (+ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))))) alpha)) (* i (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha)) |
(* -1 (/ (+ (* -1 beta) (* -1 i)) alpha)) |
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha)) |
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* i (+ beta i)) (+ (/ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) alpha) (/ (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))) alpha))) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha)) |
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (+ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))))) alpha)) (/ (* (+ beta (* 2 i)) (* (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) (- (+ beta (* 2 i)) 1))) alpha)) (+ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))))) alpha)) (* i (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 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 (/ (* i (+ (* -1 beta) (* -1 i))) alpha)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (/ (- (* -1 (* (pow i 2) (pow (+ beta i) 2))) (+ (* -1 (* i (* (+ (* -2 (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* -1 (pow (+ beta (* 2 i)) 2))) (+ (* -1 beta) (* -1 i))))) (* -1 (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (+ (* -1 beta) (* -1 i)))))))))) alpha))) (* -1 (* i (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (/ (- (+ (* -1 (* (pow i 2) (pow (+ beta i) 2))) (+ (* -1 (/ (* i (* (+ 1 (+ beta (* 2 i))) (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))) alpha)) (+ (* -1 (/ (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (- (* -1 (* (pow i 2) (pow (+ beta i) 2))) (+ (* -1 (* i (* (+ (* -2 (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* -1 (pow (+ beta (* 2 i)) 2))) (+ (* -1 beta) (* -1 i))))) (* -1 (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (+ (* -1 beta) (* -1 i))))))))))) alpha)) (* -1 (/ (* (+ (* -2 (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* -1 (pow (+ beta (* 2 i)) 2))) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (+ (* -1 beta) (* -1 i))))))) alpha))))) (+ (* -1 (* i (* (+ (* -2 (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* -1 (pow (+ beta (* 2 i)) 2))) (+ (* -1 beta) (* -1 i))))) (* -1 (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (+ (* -1 beta) (* -1 i)))))))))) alpha))) (* -1 (* i (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i)))) alpha)) |
(* -1 (/ (pow alpha 2) beta)) |
(* (pow alpha 2) (- (* -1 (/ (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta)) alpha)) (/ 1 beta))) |
(* (pow alpha 2) (- (* -1 (/ (+ (* -1 (/ (* i (- (* 2 i) (* 4 i))) (* alpha beta))) (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta))) alpha)) (/ 1 beta))) |
(* (pow alpha 2) (- (* -1 (/ (+ (* -1 (/ (* i (- (* 2 i) (* 4 i))) (* alpha beta))) (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta))) alpha)) (/ 1 beta))) |
(/ (* alpha (* beta i)) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1)))) |
(* i (+ (* i (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1)))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (* 2 (/ beta (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))) (+ (/ (* alpha (* beta (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))))) (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1)))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (+ (* 2 (/ beta (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (* i (- (/ 1 (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))) (+ (/ (* alpha (* beta (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))) (+ (/ (* (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (- (+ (* 2 (/ alpha (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (* 2 (/ beta (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))) (+ (/ (* alpha (* beta (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))))) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))) (/ (* (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))))))) (+ (/ (* alpha (* beta (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))))) (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1)))))) |
(/ i (+ 1 (+ alpha beta))) |
(* i (+ (* -1 (* i (+ (* 2 (/ 1 (pow (+ 1 (+ alpha beta)) 2))) (/ 1 (* (+ 1 (+ alpha beta)) (+ alpha beta)))))) (/ 1 (+ 1 (+ alpha beta))))) |
(* i (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta))) (+ (/ 1 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 2 (/ 1 (pow (+ 1 (+ alpha beta)) 2))))) (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (* 4 (/ 1 (* (pow (+ 1 (+ alpha beta)) 2) (+ alpha beta))))))) (+ (* 2 (/ 1 (pow (+ 1 (+ alpha beta)) 2))) (/ 1 (* (+ 1 (+ alpha beta)) (+ alpha beta)))))) (/ 1 (+ 1 (+ alpha beta))))) |
(* i (+ (* i (- (* i (- (* -1 (* i (+ (* -4 (/ (+ (/ 1 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 2 (/ 1 (pow (+ 1 (+ alpha beta)) 2)))) (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta))) (+ (/ 1 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 2 (/ 1 (pow (+ 1 (+ alpha beta)) 2))))) (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (* 4 (/ 1 (* (pow (+ 1 (+ alpha beta)) 2) (+ alpha beta))))) (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 1 (+ alpha beta)) (+ alpha beta))))))) (+ (* -1 (/ (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta))) (+ (/ 1 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 2 (/ 1 (pow (+ 1 (+ alpha beta)) 2))))) (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (* 4 (/ 1 (* (pow (+ 1 (+ alpha beta)) 2) (+ alpha beta))))))) (+ (* 2 (/ 1 (pow (+ 1 (+ alpha beta)) 2))) (/ 1 (* (+ 1 (+ alpha beta)) (+ alpha beta)))))) (/ 1 (+ 1 (+ alpha beta))))) |
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) (- (pow (+ alpha beta) 2) 1))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (+ (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* i (- (/ 1 (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (+ (* 32 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (pow (+ alpha beta) 2) 1) 2)))) (+ (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))) (/ (* (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
(/ (* alpha i) (pow beta 2)) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(/ (* alpha i) (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)) |
(/ (* alpha i) (pow beta 2)) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(* i (+ (/ alpha (pow beta 2)) (/ i (pow beta 2)))) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
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(/ (* alpha (* beta i)) (+ alpha beta)) |
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(/ (* alpha (* beta i)) (* (+ 1 (+ alpha beta)) (+ alpha beta))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))) (+ (* 2 (/ beta (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))) (* i (- (/ 1 (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2))) (+ (* 8 (/ (* alpha beta) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3)))) (+ (/ (* (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (- (+ (* 2 (/ alpha (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))) (* 2 (/ beta (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2))))) (+ (/ (* alpha (* beta (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3))) (/ (* (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (- (+ (/ 1 (+ 1 (+ alpha beta))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3))))) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))))) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2))) (/ (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (+ (/ 1 (+ 1 (+ alpha beta))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3))))) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2))))))))) (+ (/ (* alpha (* beta (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3))) (/ (* (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (- (+ (/ 1 (+ 1 (+ alpha beta))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3))))) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))))) (+ (/ 1 (+ 1 (+ alpha beta))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2))))) (/ (* alpha (* beta (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3))))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (+ alpha beta))))) |
(/ (* alpha (- alpha (* 2 alpha))) beta) |
(+ (* i (- (+ (* -2 (/ alpha beta)) (/ alpha beta)) (* 2 (/ alpha beta)))) (/ (* alpha (- alpha (* 2 alpha))) beta)) |
(+ (* i (- (+ (* -2 (/ alpha beta)) (+ (* -2 (/ i beta)) (/ alpha beta))) (* 2 (/ alpha beta)))) (/ (* alpha (- alpha (* 2 alpha))) beta)) |
(+ (* i (- (+ (* -2 (/ alpha beta)) (+ (* -2 (/ i beta)) (/ alpha beta))) (* 2 (/ alpha beta)))) (/ (* alpha (- alpha (* 2 alpha))) beta)) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/256 (/ (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ 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 (/ (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (pow i 3))) (+ (* 1/256 (/ (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (pow i 2))) (+ (* 1/256 (/ (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) i)) (+ (* 1/16 (/ (* (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))) (pow i 3))) (+ (* 1/16 (/ (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))) (pow i 2))) (* 1/16 (/ (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))) (* 1/16 (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))))))) (pow i 3))))))))) |
1/4 |
(- (+ 1/4 (* 1/4 (/ (+ alpha beta) i))) (* 1/16 (/ (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta))) i))) |
(- (+ 1/4 (+ (* -1 (/ (+ (* 1/16 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 1/4 (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta))) (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta)))))))) (pow i 2))) (* 1/4 (/ (+ alpha beta) i)))) (* 1/16 (/ (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta))) i))) |
(- (+ 1/4 (+ (* -1 (/ (+ (* -1/4 (* (+ (* 1/16 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 1/4 (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta))) (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta)))))))) (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta))))) (* 1/4 (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta))))))))) (pow i 3))) (* 1/4 (/ (+ alpha beta) i)))) (+ (* 1/16 (/ (* (+ 1 (+ alpha beta)) (+ alpha beta)) (pow i 2))) (+ (* 1/16 (/ (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta))) i)) (* 1/4 (/ (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta))) (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta)))))) (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) (- (* 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)))) |
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))))))))) |
(* -1 (/ (pow i 2) beta)) |
(* (pow i 2) (- (* -1 (/ alpha (* beta i))) (/ 1 beta))) |
(* (pow i 2) (- (* -1 (/ alpha (* beta i))) (/ 1 beta))) |
(* (pow i 2) (- (* -1 (/ alpha (* beta i))) (/ 1 beta))) |
(/ i beta) |
(/ i beta) |
(/ i beta) |
(/ i beta) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/256 (/ (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) i))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (pow i 2))) (+ (* 1/256 (/ (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) i)) (* 1/16 (/ (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))) (pow i 2)))))) |
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (pow i 3))) (+ (* 1/256 (/ (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (pow i 2))) (+ (* 1/256 (/ (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) i)) (+ (* 1/16 (/ (* (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))) (pow i 3))) (+ (* 1/16 (/ (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))) (pow i 2))) (* 1/16 (/ (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))) (* 1/16 (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))))))) (pow i 3))))))))) |
(* -2 i) |
(* i (- (/ alpha i) (+ 2 (* 2 (/ alpha i))))) |
(* i (- (/ alpha i) (+ 2 (* 2 (/ alpha i))))) |
(* i (- (/ alpha i) (+ 2 (* 2 (/ alpha i))))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/256 (/ (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) i))) |
(- (+ 1/16 (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/256 (/ (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (pow i 2))) (+ (* 1/256 (/ (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) i)) (* 1/16 (/ (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))) (pow i 2)))))) |
(- (+ 1/16 (+ (* 1/16 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/16 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/256 (/ (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (pow i 3))) (+ (* 1/256 (/ (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (pow i 2))) (+ (* 1/256 (/ (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) i)) (+ (* 1/16 (/ (* (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))) (pow i 3))) (+ (* 1/16 (/ (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))) (pow i 2))) (* 1/16 (/ (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))) (* 1/16 (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))))))) (pow i 3))))))))) |
(* -2 (/ (pow i 2) beta)) |
(* (pow i 2) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ 1 i) (/ alpha (* beta i)))) (+ (* 2 (/ 1 beta)) (* 2 (/ alpha (* beta i)))))) |
(* (pow i 2) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (* alpha (- alpha (* 2 alpha))) (* beta (pow i 2))))))) (+ (* 2 (/ 1 beta)) (* 2 (/ alpha (* beta i)))))) |
(* (pow i 2) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (* alpha (- alpha (* 2 alpha))) (* beta (pow i 2))))))) (+ (* 2 (/ 1 beta)) (* 2 (/ alpha (* beta i)))))) |
(* -2 (/ (pow i 3) beta)) |
(* (pow i 3) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ 1 i) (/ alpha (* beta i)))) (+ (* 2 (/ alpha (* beta i))) (* 2 (/ 1 beta))))) |
(* (pow i 3) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (* alpha (- alpha (* 2 alpha))) (* beta (pow i 2))))))) (+ (* 2 (/ alpha (* beta i))) (* 2 (/ 1 beta))))) |
(* (pow i 3) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (* alpha (- alpha (* 2 alpha))) (* beta (pow i 2))))))) (+ (* 2 (/ alpha (* beta i))) (* 2 (/ 1 beta))))) |
1/4 |
(- (+ 1/4 (* 1/4 (/ (+ alpha beta) i))) (* 1/16 (/ (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) i))) |
(- (+ 1/4 (+ (* 1/4 (/ (* alpha beta) (pow i 2))) (* 1/4 (/ (+ alpha beta) i)))) (+ (* 1/16 (/ (* (+ alpha beta) (- (+ alpha beta) 1)) (pow i 2))) (+ (* 1/16 (/ (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) i)) (* 1/4 (/ (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1)))))) (pow i 2)))))) |
(- (+ 1/4 (+ (* -1 (/ (+ (* 1/4 (* (+ alpha beta) (* (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (- (+ alpha beta) 1)))) (* 1/4 (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 (* alpha beta)) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1)))))))))))) (pow i 3))) (+ (* 1/4 (/ (* alpha beta) (pow i 2))) (* 1/4 (/ (+ alpha beta) i))))) (+ (* 1/16 (/ (* (+ alpha beta) (- (+ alpha beta) 1)) (pow i 2))) (+ (* 1/16 (/ (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) i)) (* 1/4 (/ (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1)))))) (pow i 2)))))) |
1/4 |
(- (+ 1/4 (* 1/4 (/ (+ alpha beta) i))) (* 1/16 (/ (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) i))) |
(- (+ 1/4 (+ (* 1/4 (/ (* alpha beta) (pow i 2))) (* 1/4 (/ (+ alpha beta) i)))) (+ (* 1/16 (/ (* (+ alpha beta) (- (+ alpha beta) 1)) (pow i 2))) (+ (* 1/16 (/ (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) i)) (* 1/4 (/ (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1)))))) (pow i 2)))))) |
(- (+ 1/4 (+ (* -1 (/ (+ (* 1/4 (* (+ alpha beta) (* (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (- (+ alpha beta) 1)))) (* 1/4 (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 (* alpha beta)) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1)))))))))))) (pow i 3))) (+ (* 1/4 (/ (* alpha beta) (pow i 2))) (* 1/4 (/ (+ alpha beta) i))))) (+ (* 1/16 (/ (* (+ alpha beta) (- (+ alpha beta) 1)) (pow i 2))) (+ (* 1/16 (/ (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) i)) (* 1/4 (/ (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 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)))))))) |
(* 1/8 i) |
(* i (- (+ 1/8 (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/64 (/ (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) i)))) |
(* i (- (+ 1/8 (+ (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/8 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/64 (/ (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) i)) (* 1/8 (/ (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))) (pow i 2))))))) |
(* i (- (+ 1/8 (+ (* 1/8 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/8 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/64 (/ (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)) (pow i 3))) (+ (* 1/64 (/ (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) i)) (+ (* 1/8 (/ (* (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))) (pow i 3))) (+ (* 1/8 (/ (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))) (pow i 2))) (* 1/8 (/ (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/64 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta))))) (* 1/8 (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))))))) (pow i 3)))))))))) |
(* -2 (/ (pow i 2) beta)) |
(* (pow i 2) (- (+ (* -2 (/ alpha (* beta i))) (/ alpha (* beta i))) (+ (* 2 (/ alpha (* beta i))) (* 2 (/ 1 beta))))) |
(* (pow i 2) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ alpha (* beta i)) (/ (* alpha (- alpha (* 2 alpha))) (* beta (pow i 2))))) (+ (* 2 (/ alpha (* beta i))) (* 2 (/ 1 beta))))) |
(* (pow i 2) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ alpha (* beta i)) (/ (* alpha (- alpha (* 2 alpha))) (* beta (pow i 2))))) (+ (* 2 (/ alpha (* beta i))) (* 2 (/ 1 beta))))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* -1/256 (/ (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1/256 (/ (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) i)) (* 1/16 (/ (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/256 (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))) (* 1/16 (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1/256 (/ (+ (* -2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2))))) i)) (+ (* 1/16 (/ (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/256 (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))) (* 1/16 (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))))))) i)) (* 1/16 (/ (* (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) i))))) i))) i))) |
1/4 |
(- (+ 1/4 (* 1/4 (/ (+ alpha beta) i))) (* -1/16 (/ (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))) i))) |
(+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta)))))) (* -1 (/ (+ (* -1/16 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 1/4 (* (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))) (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta)))))))) i))) i))) |
(+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/16 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 1/4 (* (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))) (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta)))))))))) (* 1/4 (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))))))))) i)) (+ (* -1/16 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 1/4 (* (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))) (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))))))))) 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))) |
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))) |
(* -1 (/ (pow i 2) beta)) |
(* (pow i 2) (- (* -1 (/ alpha (* beta i))) (/ 1 beta))) |
(* (pow i 2) (- (* -1 (/ alpha (* beta i))) (/ 1 beta))) |
(* (pow i 2) (- (* -1 (/ alpha (* beta i))) (/ 1 beta))) |
(/ i beta) |
(/ i beta) |
(/ i beta) |
(/ i beta) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* -1/256 (/ (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1/256 (/ (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) i)) (* 1/16 (/ (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/256 (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))) (* 1/16 (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1/256 (/ (+ (* -2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2))))) i)) (+ (* 1/16 (/ (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/256 (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))) (* 1/16 (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))))))) i)) (* 1/16 (/ (* (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) i))))) i))) i))) |
(* -2 i) |
(* -1 (* i (+ 2 (* -1 (/ (- alpha (* 2 alpha)) i))))) |
(* -1 (* i (+ 2 (* -1 (/ (- alpha (* 2 alpha)) i))))) |
(* -1 (* i (+ 2 (* -1 (/ (- alpha (* 2 alpha)) i))))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* -1/256 (/ (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1/256 (/ (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) i)) (* 1/16 (/ (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/256 (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))) (* 1/16 (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1/256 (/ (+ (* -2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2))))) i)) (+ (* 1/16 (/ (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/256 (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))) (* 1/16 (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))))))) i)) (* 1/16 (/ (* (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) i))))) i))) i))) |
(* -2 (/ (pow i 2) beta)) |
(* (pow i 2) (- (* -1 (/ (- (+ (* -1 (/ (- alpha (* 2 alpha)) beta)) (* 2 (/ alpha beta))) 1) i)) (* 2 (/ 1 beta)))) |
(* (pow i 2) (- (* -1 (/ (- (+ (* -1 (/ (+ alpha (/ (* alpha (- alpha (* 2 alpha))) beta)) i)) (+ (* -1 (/ (- alpha (* 2 alpha)) beta)) (* 2 (/ alpha beta)))) 1) i)) (* 2 (/ 1 beta)))) |
(* (pow i 2) (- (* -1 (/ (- (+ (* -1 (/ (+ alpha (/ (* alpha (- alpha (* 2 alpha))) beta)) i)) (+ (* -1 (/ (- alpha (* 2 alpha)) beta)) (* 2 (/ alpha beta)))) 1) i)) (* 2 (/ 1 beta)))) |
(* -2 (/ (pow i 3) beta)) |
(* -1 (* (pow i 3) (- (+ (* -1 (/ (- alpha (* 2 alpha)) (* beta i))) (+ (* 2 (/ alpha (* beta i))) (* 2 (/ 1 beta)))) (/ 1 i)))) |
(* -1 (* (pow i 3) (+ (* -1 (/ (+ (* -1 (- (+ (* -1 (/ (- alpha (* 2 alpha)) beta)) (* 2 (/ alpha beta))) 1)) (+ (/ alpha i) (/ (* alpha (- alpha (* 2 alpha))) (* beta i)))) i)) (* 2 (/ 1 beta))))) |
(* -1 (* (pow i 3) (+ (* -1 (/ (+ (* -1 (- (+ (* -1 (/ (- alpha (* 2 alpha)) beta)) (* 2 (/ alpha beta))) 1)) (+ (/ alpha i) (/ (* alpha (- alpha (* 2 alpha))) (* beta i)))) i)) (* 2 (/ 1 beta))))) |
1/4 |
(+ 1/4 (* -1 (/ (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) i))) |
(+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* alpha beta)) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))))))) i)) (* -1/4 (+ alpha beta))) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) i))) |
(+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* alpha beta)) (+ (* 1/4 (/ (* (+ alpha beta) (* (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) (- (+ alpha beta) 1))) i)) (* 1/4 (/ (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* 1/4 (* alpha beta)) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))))))))) i)))) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))))))) i)) (* -1/4 (+ alpha beta))) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) i))) |
1/4 |
(+ 1/4 (* -1 (/ (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) i))) |
(+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* alpha beta)) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))))))) i)) (* -1/4 (+ alpha beta))) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) i))) |
(+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* alpha beta)) (+ (* 1/4 (/ (* (+ alpha beta) (* (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) (- (+ alpha beta) 1))) i)) (* 1/4 (/ (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* 1/4 (* alpha beta)) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))))))))) i)))) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))))))) i)) (* -1/4 (+ alpha beta))) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) 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)))) |
(* 1/8 i) |
(* -1 (* i (- (* -1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (+ 1/8 (* -1/64 (/ (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) i)))))) |
(* -1 (* i (- (* -1 (/ (- (+ (* -1 (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))) (* -1/8 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1/8 (/ (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))) i)) (* -1/64 (/ (+ (* -4 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* -2 (pow (+ alpha beta) 2))) i)))) i)) 1/8))) |
(* -1 (* i (- (* -1 (/ (+ (* -1 (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))) (* -1 (/ (- (+ (* -1 (- (* -1/8 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/8 (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))))))) (* -1/64 (+ (* -4 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* -2 (pow (+ alpha beta) 2))))))) (* -1/8 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1/8 (/ (* (+ (* -4 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* -2 (pow (+ alpha beta) 2))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))) i)) (+ (* -1/8 (/ (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/8 (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))))))) (* -1/64 (+ (* -4 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* -2 (pow (+ alpha beta) 2))))))) i)) (* -1/64 (/ (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)) i))))) i))) i)) 1/8))) |
(* -2 (/ (pow i 2) beta)) |
(* (pow i 2) (- (* -1 (/ (+ (* -1 (/ (- alpha (* 2 alpha)) beta)) (* 2 (/ alpha beta))) i)) (* 2 (/ 1 beta)))) |
(* (pow i 2) (- (* -1 (/ (+ (* -1 (/ (* alpha (- alpha (* 2 alpha))) (* beta i))) (+ (* -1 (/ (- alpha (* 2 alpha)) beta)) (* 2 (/ alpha beta)))) i)) (* 2 (/ 1 beta)))) |
(* (pow i 2) (- (* -1 (/ (+ (* -1 (/ (* alpha (- alpha (* 2 alpha))) (* beta i))) (+ (* -1 (/ (- alpha (* 2 alpha)) beta)) (* 2 (/ alpha beta)))) i)) (* 2 (/ 1 beta)))) |
| Outputs |
|---|
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) |
(*.f64 (/.f64 (*.f64 i i) (+.f64 #s(literal 1 binary64) (+.f64 alpha (*.f64 #s(literal 2 binary64) i)))) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) (-.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))))) |
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2)))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) |
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(+ (* beta (- (+ (* beta (- (/ (* i (+ alpha i)) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (+ (/ (* (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2)))))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2))))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2)))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) |
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(+ (* beta (- (+ (* beta (- (+ (* -1 (* beta (+ (/ (* (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))) (- (/ (* i (+ alpha i)) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (+ (/ (* (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2)))))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2))))))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (+ (/ (* (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2)))))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* 4 alpha) (* 8 i)))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2)))))))) (/ (* i (+ alpha i)) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (+ (/ (* (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))) (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2)))))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2))))))) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2)))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) |
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(/ (* (pow i 2) (pow (+ alpha i) 2)) (pow (+ alpha (* 2 i)) 2)) |
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i |
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beta |
(* beta (+ 1 (+ (/ alpha beta) (/ i beta)))) |
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(* beta (+ 1 (+ (/ alpha beta) (/ i beta)))) |
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(* beta (+ 1 (+ (/ alpha beta) (/ i beta)))) |
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(/ i beta) |
(/.f64 i beta) |
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i |
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beta |
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(+ alpha i) |
(+.f64 alpha i) |
(+ alpha (+ i (/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta))) |
(+.f64 (+.f64 alpha i) (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i)))) beta)) |
(+ alpha (+ i (/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta))) |
(+.f64 (+.f64 alpha i) (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i)))) beta)) |
(+ alpha (+ i (/ (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i)))) beta))) |
(+.f64 (+.f64 alpha i) (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i)))) beta)) |
(* i (+ alpha i)) |
(*.f64 i (+.f64 alpha i)) |
(+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))))) beta)) |
(fma.f64 i (+.f64 alpha i) (/.f64 (*.f64 (*.f64 i (+.f64 alpha i)) (-.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i)))) beta)) |
(+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))))) beta)) |
(fma.f64 i (+.f64 alpha i) (/.f64 (*.f64 (*.f64 i (+.f64 alpha i)) (-.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i)))) beta)) |
(+ (* i (+ alpha i)) (/ (* i (* (+ alpha i) (- (+ alpha (* 2 i)) (+ (* 2 alpha) (* 4 i))))) beta)) |
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(* -1 (/ (+ (* -1 alpha) (* -1 i)) beta)) |
(neg.f64 (neg.f64 (/.f64 (+.f64 alpha i) beta))) |
(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta)) |
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(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* i (+ alpha i)) (+ (/ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) beta) (/ (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))) beta))) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta)) |
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(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (+ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))))) beta)) (/ (* (+ alpha (* 2 i)) (* (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) (- (+ alpha (* 2 i)) 1))) beta)) (+ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))))) beta)) (* i (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta)) |
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(* -1 beta) |
(neg.f64 beta) |
(* -1 beta) |
(neg.f64 beta) |
(* -1 beta) |
(neg.f64 beta) |
(* -1 beta) |
(neg.f64 beta) |
(* -1 (/ (+ (* -1 alpha) (* -1 i)) beta)) |
(neg.f64 (neg.f64 (/.f64 (+.f64 alpha i) beta))) |
(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta)) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 alpha i) (neg.f64 (/.f64 (-.f64 (*.f64 i (+.f64 alpha i)) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) (neg.f64 (-.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))))) beta))) beta)) |
(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* i (+ alpha i)) (+ (/ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) beta) (/ (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))) beta))) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta)) |
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(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (+ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))))) beta)) (/ (* (+ alpha (* 2 i)) (* (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) (- (+ alpha (* 2 i)) 1))) beta)) (+ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))))) beta)) (* i (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta)) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 alpha i) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) (neg.f64 (-.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))) (fma.f64 (*.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) (*.f64 #s(literal -1 binary64) (+.f64 alpha i))) (-.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) (neg.f64 (-.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))) (-.f64 (*.f64 i (+.f64 alpha i)) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) (neg.f64 (-.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))))))))) beta) (-.f64 (/.f64 (*.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) (*.f64 (-.f64 (*.f64 i (+.f64 alpha i)) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) (neg.f64 (-.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))))) (-.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))) beta) (fma.f64 (*.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) (*.f64 #s(literal -1 binary64) (+.f64 alpha i))) (-.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) (neg.f64 (-.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))) (-.f64 (*.f64 i (+.f64 alpha i)) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) (neg.f64 (-.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))))))))) beta) (-.f64 (*.f64 i (+.f64 alpha i)) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) (fma.f64 #s(literal -1 binary64) (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) (neg.f64 (-.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))))))) beta))) beta)) |
(* -1 (* i (+ (* -1 alpha) (* -1 i)))) |
(*.f64 (neg.f64 i) (*.f64 #s(literal -1 binary64) (+.f64 alpha 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))) |
(*.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 #s(literal -1 binary64) (+.f64 alpha i)) (/.f64 (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 alpha i) (*.f64 (+.f64 alpha i) (*.f64 #s(literal -1 binary64) (+.f64 alpha i)))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (+.f64 alpha (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -1 binary64) (+.f64 alpha i))))) beta))) |
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(/ i alpha) |
(/.f64 i alpha) |
(/ (- (+ i (/ (* i (+ beta i)) alpha)) (/ (* i (+ 1 (+ (* 2 beta) (* 4 i)))) alpha)) alpha) |
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(/ (- (+ i (+ (* -1 (/ (+ (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 1 (+ (* 2 beta) (* 4 i))) (- (* i (+ beta i)) (* i (+ 1 (+ (* 2 beta) (* 4 i))))))) (pow alpha 2))) (/ (* i (+ beta i)) alpha))) (/ (* i (+ 1 (+ (* 2 beta) (* 4 i)))) alpha)) alpha) |
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(/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (+ 1 (+ (* 2 beta) (* 4 i))) (+ (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 1 (+ (* 2 beta) (* 4 i))) (- (* i (+ beta i)) (* i (+ 1 (+ (* 2 beta) (* 4 i))))))))) (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ 1 (+ (* 2 beta) (* 4 i)))))))) (pow alpha 3))) (/ (* i (+ beta i)) alpha))) (+ (/ (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow alpha 2)) (+ (/ (* i (+ 1 (+ (* 2 beta) (* 4 i)))) alpha) (/ (* (+ 1 (+ (* 2 beta) (* 4 i))) (- (* i (+ beta i)) (* i (+ 1 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) alpha) |
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i |
(- (+ i (/ (* i (+ beta i)) alpha)) (/ (* i (+ beta (* 2 i))) alpha)) |
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(- (+ 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)))) |
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alpha |
(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha)))) |
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(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha)))) |
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(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha)))) |
(*.f64 alpha (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)) (/.f64 i alpha))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
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(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
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(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
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(/ (* alpha i) (pow beta 2)) |
(*.f64 alpha (/.f64 i (*.f64 beta beta))) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(*.f64 alpha (+.f64 (/.f64 i (*.f64 beta beta)) (/.f64 (/.f64 (*.f64 i i) alpha) (*.f64 beta beta)))) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(*.f64 alpha (+.f64 (/.f64 i (*.f64 beta beta)) (/.f64 (/.f64 (*.f64 i i) alpha) (*.f64 beta beta)))) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
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(/ (* alpha i) (pow beta 2)) |
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(/ (* alpha i) (pow beta 2)) |
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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))) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(*.f64 alpha (+.f64 (/.f64 i (*.f64 beta beta)) (/.f64 (/.f64 (*.f64 i i) alpha) (*.f64 beta beta)))) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(*.f64 alpha (+.f64 (/.f64 i (*.f64 beta beta)) (/.f64 (/.f64 (*.f64 i i) alpha) (*.f64 beta beta)))) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(*.f64 alpha (+.f64 (/.f64 i (*.f64 beta beta)) (/.f64 (/.f64 (*.f64 i i) alpha) (*.f64 beta beta)))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/.f64 (*.f64 i (+.f64 beta 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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(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
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(* (pow alpha 2) (- (+ (* -1 (/ i (* alpha beta))) (+ (* 2 (/ i (* alpha beta))) (+ (/ 1 alpha) (+ (/ i (pow alpha 2)) (/ (* i (- (* 2 i) (* 4 i))) (* (pow alpha 2) beta)))))) (+ (* 4 (/ i (* alpha beta))) (/ 1 beta)))) |
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(* -1 (/ (* (pow alpha 2) i) beta)) |
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(* (pow alpha 2) (+ (* -1 (/ i beta)) (+ (/ (* i (+ i (/ (* i (- (* 2 i) (* 4 i))) beta))) (pow alpha 2)) (/ (* i (- (+ 1 (+ (* -1 (/ i beta)) (* 2 (/ i beta)))) (* 4 (/ i beta)))) alpha)))) |
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(/ (+ beta i) alpha) |
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(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (* (+ beta (* 2 i)) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ beta (* 2 i)) 1)))) (pow alpha 3))) (/ (* i (+ beta i)) alpha)))) (+ (/ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (pow alpha 2)) (+ (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha) (/ (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1)) (pow alpha 2))))) alpha) |
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(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (* (+ beta (* 2 i)) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ beta (* 2 i)) 1)))) (pow alpha 3))) (/ (* i (+ beta i)) alpha)))) (+ (/ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (pow alpha 2)) (+ (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha) (/ (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1)) (pow alpha 2))))) alpha) |
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(* i (+ beta i)) |
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(* -1 (/ (pow alpha 2) beta)) |
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(* (pow alpha 2) (- (+ (* -1 (/ i (* alpha beta))) (+ (* 2 (/ i (* alpha beta))) (/ (* i (- (* 2 i) (* 4 i))) (* (pow alpha 2) beta)))) (+ (* 4 (/ i (* alpha beta))) (/ 1 beta)))) |
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(* (pow alpha 2) (- (+ (* -1 (/ i (* alpha beta))) (+ (* 2 (/ i (* alpha beta))) (/ (* i (- (* 2 i) (* 4 i))) (* (pow alpha 2) beta)))) (+ (* 4 (/ i (* alpha beta))) (/ 1 beta)))) |
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(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))) (* (+ 1 (+ beta (* 2 i))) (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (+ (/ (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))))))) alpha) (/ (* (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))) alpha)))) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
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binary64)))) (/.f64 (-.f64 (*.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64))))))) alpha))))) (fma.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64))))) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)))) (-.f64 (*.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64)))))))))) alpha) (-.f64 (*.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 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(/ i alpha) |
(/.f64 i alpha) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha))) alpha)) |
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 i (/.f64 (-.f64 (*.f64 i (+.f64 beta i)) (*.f64 (neg.f64 i) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) alpha)) (+ (* i (+ beta i)) (/ (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha))) alpha)) |
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 i (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 i (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) alpha) (fma.f64 i (+.f64 beta i) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (/.f64 (-.f64 (*.f64 i (+.f64 beta i)) (*.f64 (neg.f64 i) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))) alpha)))) (*.f64 (neg.f64 i) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))) alpha)) (/ (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (+ (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) alpha)) (* i (+ beta i))) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha))) alpha)) |
(neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 i (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (fma.f64 (neg.f64 i) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 i (+.f64 beta i)) (*.f64 (neg.f64 i) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))))) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (-.f64 (*.f64 i (+.f64 beta i)) (*.f64 (neg.f64 i) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)))))))) alpha)) (fma.f64 (neg.f64 i) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 i (+.f64 beta i)) (*.f64 (neg.f64 i) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i))))))))) alpha) (-.f64 (*.f64 i (+.f64 beta i)) (*.f64 (neg.f64 i) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i))))))) alpha))) alpha)) |
i |
(+ i (* -1 (/ (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i))))) alpha))) |
(+.f64 i (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 i (-.f64 (+.f64 beta i) (+.f64 beta (*.f64 #s(literal 2 binary64) 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))) |
(+.f64 i (neg.f64 (/.f64 (fma.f64 (neg.f64 i) (+.f64 beta i) (-.f64 (neg.f64 (*.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 i (-.f64 (+.f64 beta i) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) alpha))) (*.f64 (neg.f64 i) (+.f64 beta (*.f64 #s(literal 2 binary64) 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))) |
(+.f64 i (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 i (+.f64 beta i) (/.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 i (-.f64 (+.f64 beta i) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) alpha))) (*.f64 (neg.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -1 binary64) (*.f64 i (-.f64 (+.f64 beta i) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))))) alpha)) (*.f64 #s(literal 1 binary64) (*.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) alpha))) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1))) |
(*.f64 (neg.f64 alpha) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta i) alpha) #s(literal -1 binary64))) |
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1))) |
(*.f64 (neg.f64 alpha) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta i) alpha) #s(literal -1 binary64))) |
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1))) |
(*.f64 (neg.f64 alpha) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta i) alpha) #s(literal -1 binary64))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/.f64 (*.f64 (neg.f64 i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (/.f64 (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 i i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)))))) alpha) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (/.f64 (-.f64 (*.f64 (*.f64 i i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)))))) alpha)) (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 i (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (-.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (+.f64 beta i))) alpha)) (fma.f64 (*.f64 i i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (/.f64 (fma.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)) alpha)))) (fma.f64 (*.f64 #s(literal -4 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64))))))) alpha) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha))) (*.f64 alpha alpha)) |
(/ (* alpha i) (pow beta 2)) |
(*.f64 alpha (/.f64 i (*.f64 beta beta))) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(*.f64 (neg.f64 alpha) (*.f64 #s(literal -1 binary64) (+.f64 (/.f64 i (*.f64 beta beta)) (/.f64 (/.f64 (*.f64 i i) alpha) (*.f64 beta beta))))) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
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(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))) (* (+ 1 (+ beta (* 2 i))) (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (+ (/ (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))))))) alpha) (/ (* (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))) alpha)))) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
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(* -1 alpha) |
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(* -1 (* alpha (+ 1 (* -1 (/ (- (* 2 i) (* 4 i)) alpha))))) |
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(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))) (* (+ 1 (+ beta (* 2 i))) (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (+ (/ (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))))))) alpha) (/ (* (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))) alpha)))) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 i (*.f64 #s(literal -1 binary64) (+.f64 beta i))) (fma.f64 (neg.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))) (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64))))))) alpha) (fma.f64 (*.f64 i i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (-.f64 (+.f64 beta (*.f64 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binary64)))) (/.f64 (-.f64 (*.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (neg.f64 (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) #s(literal 1 binary64))))))) alpha))))) (fma.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta 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(* -1 (/ (pow alpha 2) beta)) |
(neg.f64 (/.f64 (*.f64 alpha alpha) beta)) |
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta)) 1) alpha)) (/ 1 beta))) |
(*.f64 (*.f64 alpha alpha) (-.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 i #s(literal -2 binary64)) beta) (/.f64 i beta)) #s(literal 1 binary64)) alpha)) (/.f64 #s(literal 1 binary64) beta))) |
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (+ i (/ (* i (- (* 2 i) (* 4 i))) beta)) alpha)) (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta))) 1) alpha)) (/ 1 beta))) |
(*.f64 (*.f64 alpha alpha) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 i (/.f64 (*.f64 i (*.f64 i #s(literal -2 binary64))) beta)) alpha) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 i #s(literal -2 binary64)) beta) (/.f64 i beta)) #s(literal 1 binary64))) alpha)) (/.f64 #s(literal 1 binary64) beta))) |
(* (pow alpha 2) (- (* -1 (/ (- (+ (* -1 (/ (+ i (/ (* i (- (* 2 i) (* 4 i))) beta)) alpha)) (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta))) 1) alpha)) (/ 1 beta))) |
(*.f64 (*.f64 alpha alpha) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 i (/.f64 (*.f64 i (*.f64 i #s(literal -2 binary64))) beta)) alpha) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 i #s(literal -2 binary64)) beta) (/.f64 i beta)) #s(literal 1 binary64))) alpha)) (/.f64 #s(literal 1 binary64) beta))) |
(* -1 (/ (* (pow alpha 2) i) beta)) |
(neg.f64 (/.f64 (*.f64 (*.f64 alpha alpha) i) beta)) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (* -1 (/ (* i (- (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta)) 1)) alpha)))) |
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(* (pow alpha 2) (+ (* -1 (/ i beta)) (* -1 (/ (+ (* -1 (/ (* i (+ i (/ (* i (- (* 2 i) (* 4 i))) beta))) alpha)) (* i (- (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta)) 1))) alpha)))) |
(*.f64 (*.f64 alpha alpha) (fma.f64 #s(literal -1 binary64) (/.f64 i beta) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 i (/.f64 (+.f64 i (/.f64 (*.f64 i (*.f64 i #s(literal -2 binary64))) beta)) alpha)) (*.f64 i (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 i #s(literal -2 binary64)) beta) (/.f64 i beta)) #s(literal 1 binary64)))) alpha)))) |
(* (pow alpha 2) (+ (* -1 (/ i beta)) (* -1 (/ (+ (* -1 (/ (* i (+ i (/ (* i (- (* 2 i) (* 4 i))) beta))) alpha)) (* i (- (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta)) 1))) alpha)))) |
(*.f64 (*.f64 alpha alpha) (fma.f64 #s(literal -1 binary64) (/.f64 i beta) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 i (/.f64 (+.f64 i (/.f64 (*.f64 i (*.f64 i #s(literal -2 binary64))) beta)) alpha)) (*.f64 i (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 i #s(literal -2 binary64)) beta) (/.f64 i beta)) #s(literal 1 binary64)))) alpha)))) |
(* -1 (/ (+ (* -1 beta) (* -1 i)) alpha)) |
(neg.f64 (neg.f64 (/.f64 (+.f64 beta i) alpha))) |
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha)) |
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(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* i (+ beta i)) (+ (/ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) alpha) (/ (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))) alpha))) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha)) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 (/.f64 (fma.f64 i (+.f64 beta i) (-.f64 (fma.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) alpha) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (neg.f64 (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))) (/.f64 (-.f64 (*.f64 i (+.f64 beta i)) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (neg.f64 (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))))) alpha))) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (neg.f64 (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))))))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (+ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))))) alpha)) (/ (* (+ beta (* 2 i)) (* (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) (- (+ beta (* 2 i)) 1))) alpha)) (+ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))))) alpha)) (* i (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha)) |
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(* -1 (/ (+ (* -1 beta) (* -1 i)) alpha)) |
(neg.f64 (neg.f64 (/.f64 (+.f64 beta i) alpha))) |
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha)) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 (/.f64 (-.f64 (*.f64 i (+.f64 beta i)) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (neg.f64 (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* i (+ beta i)) (+ (/ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) alpha) (/ (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))) alpha))) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha)) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 beta i) (neg.f64 (/.f64 (fma.f64 i (+.f64 beta i) (-.f64 (fma.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (/.f64 (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))) alpha) (*.f64 (fma.f64 #s(literal -1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (neg.f64 (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))) (/.f64 (-.f64 (*.f64 i (+.f64 beta i)) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (neg.f64 (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64)))))) alpha))) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (neg.f64 (-.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 1 binary64))))))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (+ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))))) alpha)) (/ (* (+ beta (* 2 i)) (* (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) (- (+ beta (* 2 i)) 1))) alpha)) (+ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))))) alpha)) (* i (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha)) |
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(* -1 (* i (+ (* -1 beta) (* -1 i)))) |
(*.f64 (neg.f64 i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(*.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (/.f64 (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(*.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 i i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i)))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i))))))) alpha))) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(*.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) (/.f64 (-.f64 (*.f64 (*.f64 i i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha)) (fma.f64 (*.f64 i i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (*.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) (/.f64 (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) alpha)))) (fma.f64 (*.f64 #s(literal -2 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (pow.f64 (+.f64 beta (*.f64 #s(literal 2 binary64) i)) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) alpha)) |
(neg.f64 (*.f64 i (neg.f64 (/.f64 (+.f64 beta i) alpha)))) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i)))) alpha)) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (neg.f64 i) (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) beta) (*.f64 #s(literal 2 binary64) (+.f64 i (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) alpha) (*.f64 i (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (/ (- (* -1 (* (pow i 2) (pow (+ beta i) 2))) (+ (* -1 (* i (* (+ (* -2 (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* -1 (pow (+ beta (* 2 i)) 2))) (+ (* -1 beta) (* -1 i))))) (* -1 (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (- (* -1 (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (+ (* -1 beta) (* -1 i)))))))))) alpha))) (* -1 (* i (* (+ 1 (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i)))))) (+ (* -1 beta) (* -1 i)))))) alpha)) (* i (+ (* -1 beta) (* -1 i)))) alpha)) |
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(* -1 (/ (pow alpha 2) beta)) |
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(* (pow alpha 2) (- (* -1 (/ (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta)) alpha)) (/ 1 beta))) |
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(* (pow alpha 2) (- (* -1 (/ (+ (* -1 (/ (* i (- (* 2 i) (* 4 i))) (* alpha beta))) (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta))) alpha)) (/ 1 beta))) |
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(* (pow alpha 2) (- (* -1 (/ (+ (* -1 (/ (* i (- (* 2 i) (* 4 i))) (* alpha beta))) (+ (* -1 (/ (- (* 2 i) (* 4 i)) beta)) (/ i beta))) alpha)) (/ 1 beta))) |
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(/ (* alpha (* beta i)) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1)))) |
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(* i (+ (* i (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1)))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (* 2 (/ beta (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))) (+ (/ (* alpha (* beta (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))))) (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1)))))) |
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(/ (* alpha (* beta i)) (* (+ 1 (+ alpha beta)) (+ alpha beta))) |
(/.f64 (*.f64 (*.f64 alpha beta) i) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) |
(* i (+ (* i (- (+ (/ 1 (+ 1 (+ alpha beta))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3))))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (+ alpha beta))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))) (* 2 (/ beta (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2))))) (+ (/ (* alpha (* beta (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3))) (/ (* (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (- (+ (/ 1 (+ 1 (+ alpha beta))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3))))) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))))) (+ (/ 1 (+ 1 (+ alpha beta))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2))))) (/ (* alpha (* beta (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3))))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (+ alpha beta))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))) (+ (* 2 (/ beta (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))) (* i (- (/ 1 (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2))) (+ (* 8 (/ (* alpha beta) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3)))) (+ (/ (* (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (- (+ (* 2 (/ alpha (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))) (* 2 (/ beta (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2))))) (+ (/ (* alpha (* beta (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3))) (/ (* (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (- (+ (/ 1 (+ 1 (+ alpha beta))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3))))) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))))) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2))) (/ (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (+ (/ 1 (+ 1 (+ alpha beta))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3))))) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2))))))))) (+ (/ (* alpha (* beta (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3))) (/ (* (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (- (+ (/ 1 (+ 1 (+ alpha beta))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))) (/ (* alpha (* beta (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3))))) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)))))) (+ (/ 1 (+ 1 (+ alpha beta))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2))))) (/ (* alpha (* beta (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))))) (* (pow (+ 1 (+ alpha beta)) 2) (pow (+ alpha beta) 3))))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (+ alpha beta))))) |
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(/ (* alpha (- alpha (* 2 alpha))) beta) |
(/.f64 (*.f64 alpha (-.f64 alpha (*.f64 #s(literal 2 binary64) alpha))) beta) |
(+ (* i (- (+ (* -2 (/ alpha beta)) (/ alpha beta)) (* 2 (/ alpha beta)))) (/ (* alpha (- alpha (* 2 alpha))) beta)) |
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(+ (* i (- (+ (* -2 (/ alpha beta)) (+ (* -2 (/ i beta)) (/ alpha beta))) (* 2 (/ alpha beta)))) (/ (* alpha (- alpha (* 2 alpha))) beta)) |
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(+ (* i (- (+ (* -2 (/ alpha beta)) (+ (* -2 (/ i beta)) (/ alpha beta))) (* 2 (/ alpha beta)))) (/ (* alpha (- alpha (* 2 alpha))) beta)) |
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1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/256 (/ (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) i))) |
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1/4 |
#s(literal 1/4 binary64) |
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(* 1/2 i) |
(*.f64 #s(literal 1/2 binary64) i) |
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i |
(* i (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 i (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha i)) (/.f64 beta i))) |
(* i (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 i (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha i)) (/.f64 beta i))) |
(* i (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 i (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 alpha i)) (/.f64 beta i))) |
1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
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(/ (pow i 2) (pow beta 2)) |
(/.f64 (*.f64 i i) (*.f64 beta beta)) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(*.f64 (*.f64 i i) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 (/.f64 alpha (*.f64 beta beta)) i))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(*.f64 (*.f64 i i) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 (/.f64 alpha (*.f64 beta beta)) i))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(*.f64 (*.f64 i i) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 (/.f64 alpha (*.f64 beta beta)) i))) |
(/ (* alpha i) (pow beta 2)) |
(*.f64 alpha (/.f64 i (*.f64 beta beta))) |
(/ (* alpha i) (pow beta 2)) |
(*.f64 alpha (/.f64 i (*.f64 beta beta))) |
(/ (* alpha i) (pow beta 2)) |
(*.f64 alpha (/.f64 i (*.f64 beta beta))) |
(/ (* alpha i) (pow beta 2)) |
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#s(literal 1/16 binary64) |
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#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 (/ (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (pow i 3))) (+ (* 1/256 (/ (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (pow i 2))) (+ (* 1/256 (/ (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) i)) (+ (* 1/16 (/ (* (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))) (pow i 3))) (+ (* 1/16 (/ (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))) (pow i 2))) (* 1/16 (/ (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/256 (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))) (* 1/16 (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))))))) (pow i 3))))))))) |
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(* -2 (/ (pow i 2) beta)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 i i) beta)) |
(* (pow i 2) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ 1 i) (/ alpha (* beta i)))) (+ (* 2 (/ 1 beta)) (* 2 (/ alpha (* beta i)))))) |
(*.f64 (*.f64 i i) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 alpha beta) i) (+.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (/.f64 alpha beta) i))) (+.f64 (/.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 alpha beta) i))))) |
(* (pow i 2) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (* alpha (- alpha (* 2 alpha))) (* beta (pow i 2))))))) (+ (* 2 (/ 1 beta)) (* 2 (/ alpha (* beta i)))))) |
(*.f64 (*.f64 i i) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 alpha beta) i) (+.f64 (/.f64 #s(literal 1 binary64) i) (+.f64 (/.f64 (/.f64 alpha beta) i) (+.f64 (/.f64 alpha (*.f64 i i)) (/.f64 (/.f64 (*.f64 alpha (-.f64 alpha (*.f64 #s(literal 2 binary64) alpha))) beta) (*.f64 i i)))))) (+.f64 (/.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 alpha beta) i))))) |
(* (pow i 2) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (* alpha (- alpha (* 2 alpha))) (* beta (pow i 2))))))) (+ (* 2 (/ 1 beta)) (* 2 (/ alpha (* beta i)))))) |
(*.f64 (*.f64 i i) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 alpha beta) i) (+.f64 (/.f64 #s(literal 1 binary64) i) (+.f64 (/.f64 (/.f64 alpha beta) i) (+.f64 (/.f64 alpha (*.f64 i i)) (/.f64 (/.f64 (*.f64 alpha (-.f64 alpha (*.f64 #s(literal 2 binary64) alpha))) beta) (*.f64 i i)))))) (+.f64 (/.f64 #s(literal 2 binary64) beta) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 alpha beta) i))))) |
(* -2 (/ (pow i 3) beta)) |
(*.f64 #s(literal -2 binary64) (/.f64 (pow.f64 i #s(literal 3 binary64)) beta)) |
(* (pow i 3) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ 1 i) (/ alpha (* beta i)))) (+ (* 2 (/ alpha (* beta i))) (* 2 (/ 1 beta))))) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 alpha beta) i) (+.f64 (/.f64 #s(literal 1 binary64) i) (/.f64 (/.f64 alpha beta) i))) (fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 alpha beta) i) (/.f64 #s(literal 2 binary64) beta)))) |
(* (pow i 3) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (* alpha (- alpha (* 2 alpha))) (* beta (pow i 2))))))) (+ (* 2 (/ alpha (* beta i))) (* 2 (/ 1 beta))))) |
(*.f64 (pow.f64 i #s(literal 3 binary64)) (-.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (/.f64 alpha beta) i) (+.f64 (/.f64 #s(literal 1 binary64) i) (+.f64 (/.f64 (/.f64 alpha beta) i) (+.f64 (/.f64 alpha (*.f64 i i)) (/.f64 (/.f64 (*.f64 alpha (-.f64 alpha (*.f64 #s(literal 2 binary64) alpha))) beta) (*.f64 i i)))))) (fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 alpha beta) i) (/.f64 #s(literal 2 binary64) beta)))) |
(* (pow i 3) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ 1 i) (+ (/ alpha (* beta i)) (+ (/ alpha (pow i 2)) (/ (* alpha (- alpha (* 2 alpha))) (* beta (pow i 2))))))) (+ (* 2 (/ alpha (* beta i))) (* 2 (/ 1 beta))))) |
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1/4 |
#s(literal 1/4 binary64) |
(- (+ 1/4 (* 1/4 (/ (+ alpha beta) i))) (* 1/16 (/ (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) i))) |
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1/4 |
#s(literal 1/4 binary64) |
(- (+ 1/4 (* 1/4 (/ (+ alpha beta) i))) (* 1/16 (/ (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) i))) |
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(-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (fma.f64 alpha (/.f64 beta (*.f64 i i)) (/.f64 (+.f64 alpha beta) i)))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))) (*.f64 i i)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) i) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))) (fma.f64 #s(literal 1/4 binary64) (+.f64 alpha beta) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))))) (*.f64 i i))))) |
(- (+ 1/4 (+ (* -1 (/ (+ (* 1/4 (* (+ alpha beta) (* (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (- (+ alpha beta) 1)))) (* 1/4 (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 (* alpha beta)) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1)))))))))))) (pow i 3))) (+ (* 1/4 (/ (* alpha beta) (pow i 2))) (* 1/4 (/ (+ alpha beta) i))))) (+ (* 1/16 (/ (* (+ alpha beta) (- (+ alpha beta) 1)) (pow i 2))) (+ (* 1/16 (/ (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) i)) (* 1/4 (/ (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1)))))) (pow i 2)))))) |
(-.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (+.f64 alpha beta) (fma.f64 #s(literal 1/4 binary64) (+.f64 alpha beta) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))))) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 alpha beta)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 alpha beta)) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))) (fma.f64 #s(literal 1/4 binary64) (+.f64 alpha beta) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))))))))) (pow.f64 i #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (fma.f64 alpha (/.f64 beta (*.f64 i i)) (/.f64 (+.f64 alpha beta) i))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))) (*.f64 i i)) (fma.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) i) (/.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))) (fma.f64 #s(literal 1/4 binary64) (+.f64 alpha beta) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))))) (*.f64 i i))))) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(*.f64 (*.f64 i i) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))) (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 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)))))) |
(*.f64 (*.f64 i i) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) (/.f64 (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 i i))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 i i)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 alpha beta) i) (/.f64 (*.f64 (+.f64 alpha beta) (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)))) (*.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 i i) (-.f64 (+.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 alpha (*.f64 beta (+.f64 alpha beta))) (pow.f64 i #s(literal 3 binary64))) (*.f64 #s(literal 1/4 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) (/.f64 (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 i i)))))) (fma.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 i i)) (fma.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)))) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 alpha beta) i) (fma.f64 (+.f64 alpha beta) (/.f64 (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (*.f64 i i)) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/16 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (+.f64 alpha beta) (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))))))) (pow.f64 i #s(literal 3 binary64))))))))) |
(* 1/8 i) |
(*.f64 #s(literal 1/8 binary64) i) |
(* i (- (+ 1/8 (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/64 (/ (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) i)))) |
(*.f64 i (-.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))) (*.f64 #s(literal 1/64 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 8 binary64) (+.f64 alpha beta))) i)))) |
(* i (- (+ 1/8 (+ (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/8 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2))))) (+ (* 1/64 (/ (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) i)) (* 1/8 (/ (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))) (pow i 2))))))) |
(*.f64 i (-.f64 (+.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) (/.f64 (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 i i))))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta))) (+.f64 alpha beta))) (*.f64 i i)) (fma.f64 #s(literal 1/64 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 8 binary64) (+.f64 alpha beta))) i) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 8 binary64) (+.f64 alpha beta))) (fma.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 #s(literal -1/64 binary64) (fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 8 binary64) (+.f64 alpha beta)))))) (*.f64 i i))))))) |
(* i (- (+ 1/8 (+ (* 1/8 (/ (* alpha (* beta (+ alpha beta))) (pow i 3))) (+ (* 1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (* 1/8 (/ (+ (* alpha beta) (pow (+ alpha beta) 2)) (pow i 2)))))) (+ (* 1/64 (/ (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)) (pow i 3))) (+ (* 1/64 (/ (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (pow i 2))) (+ (* 1/64 (/ (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) i)) (+ (* 1/8 (/ (* (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))) (pow i 3))) (+ (* 1/8 (/ (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))) (pow i 2))) (* 1/8 (/ (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* alpha beta) (pow (+ alpha beta) 2))) (+ (* 1/64 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ 1 (+ alpha beta)) (+ alpha beta))))) (* 1/8 (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* 1/8 (+ (* 2 alpha) (* 2 beta))) (* 1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))))))) (pow i 3)))))))))) |
(*.f64 i (-.f64 (+.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 alpha (*.f64 beta (+.f64 alpha beta))) (pow.f64 i #s(literal 3 binary64))) (*.f64 #s(literal 1/8 binary64) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i) (/.f64 (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (*.f64 i i)))))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 1/64 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta))) (+.f64 alpha beta))) (*.f64 i i)) (fma.f64 #s(literal 1/64 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 8 binary64) (+.f64 alpha beta))) i) (fma.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta))) (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 #s(literal -1/64 binary64) (fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 8 binary64) (+.f64 alpha beta))))) (pow.f64 i #s(literal 3 binary64)))) (*.f64 #s(literal 1/8 binary64) (fma.f64 (fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 8 binary64) (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 #s(literal -1/64 binary64) (fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 8 binary64) (+.f64 alpha beta))))) (*.f64 i i)) (*.f64 (fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 8 binary64) (+.f64 alpha beta))) (/.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (fma.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 2 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta))) (+.f64 alpha beta))) (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 8 binary64) (+.f64 alpha beta)))) (fma.f64 #s(literal 1/8 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 #s(literal -1/64 binary64) (fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 8 binary64) (+.f64 alpha beta)))))))) (pow.f64 i #s(literal 3 binary64)))))))))))) |
(* -2 (/ (pow i 2) beta)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 i i) beta)) |
(* (pow i 2) (- (+ (* -2 (/ alpha (* beta i))) (/ alpha (* beta i))) (+ (* 2 (/ alpha (* beta i))) (* 2 (/ 1 beta))))) |
(*.f64 (*.f64 i i) (-.f64 (/.f64 (neg.f64 alpha) (*.f64 beta i)) (fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 alpha beta) i) (/.f64 #s(literal 2 binary64) beta)))) |
(* (pow i 2) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ alpha (* beta i)) (/ (* alpha (- alpha (* 2 alpha))) (* beta (pow i 2))))) (+ (* 2 (/ alpha (* beta i))) (* 2 (/ 1 beta))))) |
(*.f64 (*.f64 i i) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 alpha beta) i) (/.f64 (/.f64 (*.f64 alpha (-.f64 alpha (*.f64 #s(literal 2 binary64) alpha))) beta) (*.f64 i i))) (fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 alpha beta) i) (/.f64 #s(literal 2 binary64) beta)))) |
(* (pow i 2) (- (+ (* -2 (/ alpha (* beta i))) (+ (/ alpha (* beta i)) (/ (* alpha (- alpha (* 2 alpha))) (* beta (pow i 2))))) (+ (* 2 (/ alpha (* beta i))) (* 2 (/ 1 beta))))) |
(*.f64 (*.f64 i i) (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 alpha beta) i) (/.f64 (/.f64 (*.f64 alpha (-.f64 alpha (*.f64 #s(literal 2 binary64) alpha))) beta) (*.f64 i i))) (fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 alpha beta) i) (/.f64 #s(literal 2 binary64) beta)))) |
1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* -1/256 (/ (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) i))) |
(-.f64 (+.f64 #s(literal 1/16 binary64) (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))) (*.f64 #s(literal -1/256 binary64) (/.f64 (fma.f64 #s(literal -8 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 4 binary64) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (*.f64 #s(literal 8 binary64) (+.f64 alpha beta))))) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1/256 (/ (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) i)) (* 1/16 (/ (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) i)))) i))) |
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1/4 |
#s(literal 1/4 binary64) |
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(* 1/2 i) |
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i |
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1/16 |
#s(literal 1/16 binary64) |
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#s(literal 1/16 binary64) |
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#s(literal 1/4 binary64) |
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1/4 |
#s(literal 1/4 binary64) |
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(+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* alpha beta)) (+ (* 1/4 (/ (* (+ alpha beta) (* (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) (- (+ alpha beta) 1))) i)) (* 1/4 (/ (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* 1/4 (* alpha beta)) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))))))))) i)))) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))))))) i)) (* -1/4 (+ alpha beta))) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) i))) |
(+.f64 #s(literal 1/4 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) alpha) beta (-.f64 (*.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 alpha beta) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (+.f64 alpha beta) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))) i) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 alpha beta)) (fma.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 alpha beta)) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))) (fma.f64 #s(literal -1/4 binary64) (+.f64 alpha beta) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))))))) i)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 alpha beta)) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)) (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))) (fma.f64 #s(literal -1/4 binary64) (+.f64 alpha beta) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))))))) i) (fma.f64 #s(literal -1/4 binary64) (+.f64 alpha beta) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 alpha beta) (-.f64 (+.f64 alpha beta) #s(literal 1 binary64))))))) i))) |
(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
(*.f64 (*.f64 i i) (-.f64 (+.f64 #s(literal 1/4 binary64) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i))) (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 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)))) |
(*.f64 (*.f64 i i) (+.f64 #s(literal 1/4 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) i))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 alpha beta) (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)))) i) (*.f64 #s(literal -1/16 binary64) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) 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 i i) (+.f64 #s(literal 1/4 binary64) (neg.f64 (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (*.f64 #s(literal -1/16 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 alpha (*.f64 beta (+.f64 alpha beta))) i))) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (+.f64 alpha beta) (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -1 binary64) (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal -1 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta))) (*.f64 #s(literal -1/16 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))) i) (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (+.f64 alpha beta)))) i)))) i))) i)))) |
(* 1/8 i) |
(*.f64 #s(literal 1/8 binary64) i) |
(* -1 (* i (- (* -1/8 (/ (+ (* 2 alpha) (* 2 beta)) i)) (+ 1/8 (* -1/64 (/ (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) i)))))) |
(*.f64 (neg.f64 i) (-.f64 (-.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) i)) #s(literal 1/8 binary64)) (*.f64 #s(literal -1/64 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 8 binary64) (+.f64 alpha beta))) i)))) |
(* -1 (* i (- (* -1 (/ (- (+ (* -1 (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))) (* -1/8 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1/8 (/ (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))) i)) (* -1/64 (/ (+ (* -4 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* -2 (pow (+ alpha beta) 2))) i)))) i)) 1/8))) |
(*.f64 (neg.f64 i) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 8 binary64) (+.f64 alpha beta))))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) i))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 8 binary64) (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 8 binary64) (+.f64 alpha beta))))) i)) (*.f64 #s(literal -1/64 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta))) (+.f64 alpha beta) (*.f64 #s(literal -2 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) i)))) i) #s(literal -1/8 binary64))) |
(* -1 (* i (- (* -1 (/ (+ (* -1 (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))) (* -1 (/ (- (+ (* -1 (- (* -1/8 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/8 (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))))))) (* -1/64 (+ (* -4 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* -2 (pow (+ alpha beta) 2))))))) (* -1/8 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1/8 (/ (* (+ (* -4 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* -2 (pow (+ alpha beta) 2))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta)))))) i)) (+ (* -1/8 (/ (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/8 (* (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))) (- (* -1/8 (+ (* 2 alpha) (* 2 beta))) (* -1/64 (+ (* 4 (+ 1 (+ alpha beta))) (* 8 (+ alpha beta))))))) (* -1/64 (+ (* -4 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* -2 (pow (+ alpha beta) 2))))))) i)) (* -1/64 (/ (* (+ 1 (+ alpha beta)) (pow (+ alpha beta) 2)) i))))) i))) i)) 1/8))) |
(*.f64 (neg.f64 i) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 8 binary64) (+.f64 alpha beta))))) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1 binary64) (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 8 binary64) (+.f64 alpha beta)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 8 binary64) (+.f64 alpha beta))))) (*.f64 #s(literal -1/64 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta))) (+.f64 alpha beta) (*.f64 #s(literal -2 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 alpha (*.f64 beta (+.f64 alpha beta))) i))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta))) (+.f64 alpha beta) (*.f64 #s(literal -2 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 8 binary64) (+.f64 alpha beta))))) i)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 8 binary64) (+.f64 alpha beta))) (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 #s(literal -1 binary64) (fma.f64 alpha beta (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 8 binary64) (+.f64 alpha beta)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 #s(literal 2 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 1/64 binary64) (fma.f64 #s(literal 4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (*.f64 #s(literal 8 binary64) (+.f64 alpha beta))))) (*.f64 #s(literal -1/64 binary64) (fma.f64 (*.f64 #s(literal -4 binary64) (+.f64 #s(literal 1 binary64) (+.f64 alpha beta))) (+.f64 alpha beta) (*.f64 #s(literal -2 binary64) (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)))))))) i) (*.f64 #s(literal -1/64 binary64) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)) (/.f64 (pow.f64 (+.f64 alpha beta) #s(literal 2 binary64)) i)))))) i))) i) #s(literal -1/8 binary64))) |
(* -2 (/ (pow i 2) beta)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 i i) beta)) |
(* (pow i 2) (- (* -1 (/ (+ (* -1 (/ (- alpha (* 2 alpha)) beta)) (* 2 (/ alpha beta))) i)) (* 2 (/ 1 beta)))) |
(*.f64 (*.f64 i i) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha (*.f64 #s(literal 2 binary64) alpha)) beta) (*.f64 #s(literal 2 binary64) (/.f64 alpha beta))) i)) (/.f64 #s(literal 2 binary64) beta))) |
(* (pow i 2) (- (* -1 (/ (+ (* -1 (/ (* alpha (- alpha (* 2 alpha))) (* beta i))) (+ (* -1 (/ (- alpha (* 2 alpha)) beta)) (* 2 (/ alpha beta)))) i)) (* 2 (/ 1 beta)))) |
(*.f64 (*.f64 i i) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 alpha (/.f64 (/.f64 (-.f64 alpha (*.f64 #s(literal 2 binary64) alpha)) beta) i)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha (*.f64 #s(literal 2 binary64) alpha)) beta) (*.f64 #s(literal 2 binary64) (/.f64 alpha beta)))) i)) (/.f64 #s(literal 2 binary64) beta))) |
(* (pow i 2) (- (* -1 (/ (+ (* -1 (/ (* alpha (- alpha (* 2 alpha))) (* beta i))) (+ (* -1 (/ (- alpha (* 2 alpha)) beta)) (* 2 (/ alpha beta)))) i)) (* 2 (/ 1 beta)))) |
(*.f64 (*.f64 i i) (-.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 alpha (/.f64 (/.f64 (-.f64 alpha (*.f64 #s(literal 2 binary64) alpha)) beta) i)) (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 alpha (*.f64 #s(literal 2 binary64) alpha)) beta) (*.f64 #s(literal 2 binary64) (/.f64 alpha beta)))) i)) (/.f64 #s(literal 2 binary64) beta))) |
| 4 322× | lower-*.f32 |
| 4 304× | lower-*.f64 |
| 3 692× | lower-/.f32 |
| 3 674× | lower-/.f64 |
| 3 472× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 679 |
| 0 | 107 | 626 |
| 1 | 538 | 619 |
| 2 | 5167 | 619 |
| 0 | 8266 | 605 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(+.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)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta)))) |
(*.f64 alpha (/.f64 i (*.f64 beta beta))) |
(/.f64 i (*.f64 beta beta)) |
(/.f64 (*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) (neg.f64 beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) (neg.f64 beta))) |
(*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) |
(/.f64 i beta) |
(*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (+.f64 alpha i) beta))) |
(-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))) |
(/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 (+.f64 alpha i) (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta)))) (+.f64 (fma.f64 #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 alpha i) (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta)) |
(*.f64 i (+.f64 (+.f64 alpha i) (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta))) |
#s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) |
(neg.f64 beta) |
#s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.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)))) (*.f64 i (+.f64 (+.f64 alpha i) (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta)))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 (+.f64 alpha i) (/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta)))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 alpha i) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 i (+.f64 beta alpha)))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
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(/.f64 (*.f64 (neg.f64 i) (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (fma.f64 i (-.f64 i (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i))) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) i) (-.f64 (+.f64 beta alpha) i))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) i) (fma.f64 i (-.f64 i (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) |
(/.f64 (*.f64 i (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i))) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (-.f64 (+.f64 beta alpha) i))) |
(/.f64 (*.f64 i (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 i (-.f64 i (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i)) (neg.f64 i)) (*.f64 (-.f64 (+.f64 beta alpha) i) (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 beta alpha) i) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) i))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i)) i) (*.f64 (-.f64 (+.f64 beta alpha) i) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (neg.f64 i)) (*.f64 (fma.f64 i (-.f64 i (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 i (-.f64 i (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) i))) |
(/.f64 (*.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) i) (*.f64 (fma.f64 i (-.f64 i (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(/.f64 (*.f64 (+.f64 i (+.f64 beta alpha)) i) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (*.f64 (+.f64 i (+.f64 beta alpha)) i))) |
(/.f64 (+.f64 i (+.f64 beta alpha)) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) i)) |
(fma.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) i (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 beta alpha))) |
(fma.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 beta alpha) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) i)) |
(fma.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) alpha (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 i beta))) |
(fma.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 (+.f64 beta alpha) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(fma.f64 (+.f64 beta alpha) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(fma.f64 alpha (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 (+.f64 i beta) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(+.f64 (*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (*.f64 (+.f64 beta alpha) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(+.f64 (*.f64 (+.f64 beta alpha) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(+.f64 (*.f64 alpha (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (*.f64 (+.f64 i beta) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(+.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) i) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 beta alpha))) |
(+.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 beta alpha)) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) i)) |
(+.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) alpha) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 i beta))) |
(*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (-.f64 (+.f64 beta alpha) i) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (pow.f64 (fma.f64 i (-.f64 i (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (+.f64 beta alpha) i) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 i (-.f64 i (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 i i) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 i (+.f64 beta alpha))) |
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) (-.f64 alpha (+.f64 i beta))) |
(/.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 (+.f64 i beta) #s(literal 3 binary64))) (fma.f64 alpha alpha (-.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (*.f64 alpha (+.f64 i beta))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i))) (neg.f64 (-.f64 (+.f64 beta alpha) i))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (neg.f64 (fma.f64 i (-.f64 i (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i)) (-.f64 (+.f64 beta alpha) i)) |
(/.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (fma.f64 i i (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i (+.f64 beta alpha))))) |
(/.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (fma.f64 i (-.f64 i (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 beta alpha) i) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i (-.f64 i (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (+.f64 i alpha) (-.f64 alpha i)) (pow.f64 (-.f64 alpha i) #s(literal -1 binary64)) beta) |
(fma.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (pow.f64 (-.f64 beta alpha) #s(literal -1 binary64)) i) |
(fma.f64 (fma.f64 alpha alpha (*.f64 (neg.f64 beta) beta)) (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)) i) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 beta) #s(literal 1 binary64)) (+.f64 i alpha)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 beta) (+.f64 i alpha)) |
(fma.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 i #s(literal 3 binary64))) (pow.f64 (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)) #s(literal -1 binary64)) beta) |
(fma.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)) #s(literal -1 binary64)) i) |
(fma.f64 (+.f64 (pow.f64 beta #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)) #s(literal -1 binary64)) i) |
(fma.f64 #s(literal 1 binary64) beta (+.f64 i alpha)) |
(-.f64 (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 (+.f64 beta alpha) i)) (/.f64 (*.f64 i i) (-.f64 (+.f64 beta alpha) i))) |
(+.f64 (+.f64 i beta) alpha) |
(+.f64 (+.f64 i alpha) beta) |
(+.f64 i (+.f64 beta alpha)) |
(+.f64 (+.f64 beta alpha) i) |
(+.f64 beta (+.f64 i alpha)) |
(+.f64 alpha (+.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) beta) (/ i beta)) (*.f64 (/.f64 i (*.f64 beta beta)) alpha))) |
#s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 (/.f64 i (*.f64 beta beta)) alpha)) |
(*.f64 (/.f64 alpha beta) (/.f64 i beta)) |
(*.f64 (*.f64 i alpha) (pow.f64 beta #s(literal -2 binary64))) |
(*.f64 (/.f64 i (*.f64 beta beta)) alpha) |
(*.f64 i (*.f64 (pow.f64 beta #s(literal -2 binary64)) alpha)) |
(*.f64 alpha (/.f64 i (*.f64 beta beta))) |
(pow.f64 (/.f64 (*.f64 beta beta) (*.f64 i alpha)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 i alpha) beta) beta) |
(/.f64 (*.f64 (neg.f64 i) alpha) (*.f64 (neg.f64 beta) beta)) |
(/.f64 (*.f64 alpha (neg.f64 i)) (*.f64 (neg.f64 beta) beta)) |
(/.f64 (*.f64 alpha (/.f64 i beta)) beta) |
(/.f64 (*.f64 alpha #s(literal 1 binary64)) (/.f64 (*.f64 beta beta) i)) |
(/.f64 (*.f64 (/.f64 i beta) alpha) beta) |
(/.f64 (*.f64 #s(literal 1 binary64) alpha) (/.f64 (*.f64 beta beta) i)) |
(/.f64 (neg.f64 (*.f64 i alpha)) (*.f64 (neg.f64 beta) beta)) |
(/.f64 (*.f64 i alpha) (*.f64 beta beta)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta beta) (*.f64 i alpha))) |
(/.f64 alpha (/.f64 (*.f64 beta beta) i)) |
(*.f64 (pow.f64 beta #s(literal -1 binary64)) (/.f64 i beta)) |
(*.f64 (pow.f64 beta #s(literal -2 binary64)) (pow.f64 (pow.f64 i #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 beta #s(literal -2 binary64)) i) |
(*.f64 (neg.f64 i) (pow.f64 (*.f64 (neg.f64 beta) beta) #s(literal -1 binary64))) |
(*.f64 (/.f64 i beta) (pow.f64 beta #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 i (*.f64 beta beta))) |
(*.f64 i (pow.f64 beta #s(literal -2 binary64))) |
(pow.f64 (/.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 beta (/.f64 i beta)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 beta i) beta) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 beta beta) i) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 i beta)) (neg.f64 beta)) |
(/.f64 (neg.f64 (neg.f64 i)) (neg.f64 (*.f64 (neg.f64 beta) beta))) |
(/.f64 (*.f64 i #s(literal 1 binary64)) (*.f64 beta beta)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 beta beta) i))) |
(/.f64 (neg.f64 i) (*.f64 (neg.f64 beta) beta)) |
(/.f64 (/.f64 i beta) beta) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 beta beta) i) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 beta (/.f64 i beta))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta beta) i)) |
(/.f64 i (*.f64 beta beta)) |
(neg.f64 (/.f64 (neg.f64 i) (*.f64 beta beta))) |
(neg.f64 (/.f64 i (*.f64 (neg.f64 beta) beta))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 beta beta) i)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 beta) (*.f64 (neg.f64 (+.f64 i alpha)) i)) #s(literal -1 binary64)) (pow.f64 beta #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 (+.f64 i alpha))) #s(literal -1 binary64)) (/.f64 i (*.f64 beta beta))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (/.f64 i beta)) #s(literal -1 binary64)) (pow.f64 (/.f64 beta (neg.f64 (+.f64 i alpha))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (+.f64 i alpha)) #s(literal -1 binary64)) (/.f64 i (*.f64 beta beta))) |
(*.f64 (/.f64 (/.f64 i beta) #s(literal -1 binary64)) (/.f64 (neg.f64 (+.f64 i alpha)) beta)) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (+.f64 i alpha)) (/.f64 i (*.f64 beta beta)))) |
(*.f64 (/.f64 #s(literal -1 binary64) beta) (pow.f64 (pow.f64 (*.f64 (neg.f64 (+.f64 i alpha)) (/.f64 i beta)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) beta) (*.f64 (neg.f64 (+.f64 i alpha)) (/.f64 i beta))) |
(*.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) (pow.f64 beta #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 i alpha) i) (pow.f64 beta #s(literal -2 binary64))) |
(*.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 i beta)) |
(*.f64 (*.f64 (neg.f64 (+.f64 i alpha)) (/.f64 i beta)) (/.f64 #s(literal -1 binary64) beta)) |
(*.f64 (neg.f64 (+.f64 i alpha)) (/.f64 (/.f64 i beta) (neg.f64 beta))) |
(*.f64 (neg.f64 (+.f64 i alpha)) (*.f64 (/.f64 i beta) (/.f64 #s(literal -1 binary64) beta))) |
(*.f64 (+.f64 i alpha) (/.f64 i (*.f64 beta beta))) |
(*.f64 (/.f64 i beta) (/.f64 (+.f64 i alpha) beta)) |
(*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (+.f64 i alpha) i) (pow.f64 beta #s(literal -2 binary64)))) |
(*.f64 i (pow.f64 (*.f64 beta (/.f64 beta (+.f64 i alpha))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (*.f64 beta beta) (*.f64 (+.f64 i alpha) i)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 beta (*.f64 (/.f64 (+.f64 i alpha) beta) i)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 beta (+.f64 i alpha)) (/.f64 beta i)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 beta i) (/.f64 beta (+.f64 i alpha))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 beta (*.f64 (/.f64 (+.f64 i alpha) beta) i)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (neg.f64 (+.f64 i alpha)) (/.f64 i beta)) #s(literal -1 binary64)) beta) |
(/.f64 (*.f64 (*.f64 (neg.f64 (+.f64 i alpha)) i) (/.f64 #s(literal -1 binary64) beta)) beta) |
(/.f64 (*.f64 (neg.f64 i) (/.f64 (+.f64 i alpha) beta)) (neg.f64 beta)) |
(/.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) (neg.f64 i)) (neg.f64 beta)) |
(/.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) #s(literal 1 binary64)) (/.f64 beta i)) |
(/.f64 (*.f64 (*.f64 (neg.f64 (+.f64 i alpha)) (/.f64 i beta)) #s(literal 1 binary64)) (neg.f64 beta)) |
(/.f64 (*.f64 (/.f64 i beta) #s(literal 1 binary64)) (/.f64 beta (+.f64 i alpha))) |
(/.f64 (*.f64 (neg.f64 (+.f64 i alpha)) (neg.f64 i)) (pow.f64 (neg.f64 beta) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (+.f64 i alpha)) #s(literal 1 binary64)) (*.f64 (neg.f64 beta) (/.f64 beta i))) |
(/.f64 (*.f64 (+.f64 i alpha) (neg.f64 i)) (*.f64 (neg.f64 beta) beta)) |
(/.f64 (*.f64 (+.f64 i alpha) #s(literal 1 binary64)) (/.f64 (*.f64 beta beta) i)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 i)) (*.f64 (/.f64 beta (+.f64 i alpha)) (neg.f64 beta))) |
(/.f64 (*.f64 #s(literal 1 binary64) i) (*.f64 (/.f64 beta (+.f64 i alpha)) beta)) |
(/.f64 (*.f64 (*.f64 (neg.f64 (+.f64 i alpha)) i) #s(literal 1 binary64)) (*.f64 (neg.f64 beta) beta)) |
(/.f64 (*.f64 (neg.f64 i) (neg.f64 (+.f64 i alpha))) (pow.f64 (neg.f64 beta) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 i) (+.f64 i alpha)) (*.f64 (neg.f64 beta) beta)) |
(/.f64 (*.f64 (neg.f64 i) #s(literal 1 binary64)) (*.f64 (neg.f64 beta) (/.f64 beta (+.f64 i alpha)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 i alpha))) (*.f64 (/.f64 beta i) (neg.f64 beta))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 i alpha)) (*.f64 (/.f64 beta i) beta)) |
(/.f64 (*.f64 i #s(literal 1 binary64)) (*.f64 beta (/.f64 beta (+.f64 i alpha)))) |
(/.f64 (*.f64 (neg.f64 (+.f64 i alpha)) i) (*.f64 (neg.f64 beta) beta)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 beta (*.f64 (/.f64 (+.f64 i alpha) beta) i)))) |
(/.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) beta) |
(/.f64 (*.f64 (+.f64 i alpha) i) (*.f64 beta beta)) |
(/.f64 (/.f64 (+.f64 i alpha) beta) (/.f64 beta i)) |
(/.f64 (*.f64 (neg.f64 (+.f64 i alpha)) (/.f64 i beta)) (neg.f64 beta)) |
(/.f64 (/.f64 i beta) (/.f64 beta (+.f64 i alpha))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta beta) (*.f64 (+.f64 i alpha) i))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 beta (*.f64 (/.f64 (+.f64 i alpha) beta) i)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta (+.f64 i alpha)) (/.f64 beta i))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 beta i) (/.f64 beta (+.f64 i alpha)))) |
(/.f64 #s(literal 1 binary64) (/.f64 beta (*.f64 (/.f64 (+.f64 i alpha) beta) i))) |
(neg.f64 (*.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) (/.f64 #s(literal -1 binary64) beta))) |
(neg.f64 (*.f64 (neg.f64 (+.f64 i alpha)) (/.f64 i (*.f64 beta beta)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (+.f64 i alpha)) (/.f64 i (*.f64 beta beta)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 beta (*.f64 (/.f64 (+.f64 i alpha) beta) i))) #s(literal -1 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (*.f64 (+.f64 i alpha) i) (pow.f64 beta #s(literal -2 binary64)))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) (/.f64 (+.f64 i alpha) beta) (+.f64 i alpha)) i)))) |
(neg.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) (/.f64 (+.f64 i alpha) beta) (+.f64 i alpha)) i)) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (fma.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) (/.f64 (+.f64 i alpha) beta) (+.f64 i alpha)) i)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta) (+.f64 i alpha)) |
(*.f64 (pow.f64 beta #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) (+.f64 i alpha)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 beta #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) (+.f64 i alpha))) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) (neg.f64 (+.f64 i alpha))) (/.f64 #s(literal -1 binary64) beta)) |
(*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) (+.f64 i alpha)) (pow.f64 beta #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) (/.f64 (+.f64 i alpha) beta)) |
(*.f64 (+.f64 i alpha) (/.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta)) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) (/.f64 (+.f64 i alpha) beta))) |
(pow.f64 (/.f64 (/.f64 (/.f64 beta (+.f64 i alpha)) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 beta (+.f64 i alpha)) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))))) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) (neg.f64 (+.f64 i alpha))) #s(literal -1 binary64)) beta) |
(/.f64 (*.f64 (*.f64 (+.f64 i alpha) (-.f64 alpha i)) (/.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta)) (-.f64 alpha i)) |
(/.f64 (*.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 i #s(literal 3 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) beta)) (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) (neg.f64 (+.f64 i alpha)))) beta) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) (+.f64 i alpha)) #s(literal 1 binary64)) beta) |
(/.f64 (*.f64 (*.f64 (+.f64 i alpha) (-.f64 alpha i)) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))))) (*.f64 (-.f64 alpha i) beta)) |
(/.f64 (*.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 i #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))))) (*.f64 (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)) beta)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 beta (+.f64 i alpha)) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))))))) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) (neg.f64 (+.f64 i alpha))) (neg.f64 beta)) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) (+.f64 i alpha)) beta) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 beta (+.f64 i alpha)) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 beta (+.f64 i alpha)) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))))) |
(neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) (neg.f64 (+.f64 i alpha))) beta)) |
(neg.f64 (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))) (+.f64 i alpha)) (neg.f64 beta))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 beta (+.f64 i alpha)) (fma.f64 #s(literal 2 binary64) i (-.f64 alpha (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)))))) #s(literal -1 binary64))) |
Compiled 99 144 to 5 638 computations (94.3% saved)
40 alts after pruning (38 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 427 | 19 | 1 446 |
| Fresh | 5 | 19 | 24 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 436 | 40 | 1 476 |
| Status | Accuracy | Program |
|---|---|---|
| 16.0% | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) #s(approx (+ (* beta alpha) (* i (+ (+ alpha beta) i))) (*.f64 (+.f64 beta i) i))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| 29.8% | (/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 alpha i))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) | |
| 23.1% | (/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i #s(approx (+ (+ alpha i) (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta)) (+.f64 i (/.f64 (*.f64 i (*.f64 i #s(literal -2 binary64))) beta))))) (+.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))) | |
| 20.1% | (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) (*.f64 (*.f64 (-.f64 (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 -1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64)))) | |
| 20.1% | (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 (+.f64 beta alpha) i))) (*.f64 (*.f64 (-.f64 (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 (+.f64 beta alpha)) #s(literal 1 binary64)))) | |
| 39.5% | (/.f64 (*.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 (+.f64 beta alpha) i)) #s(literal 1 binary64)) (*.f64 (+.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 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))) | |
| 26.6% | (/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (/.f64 (*.f64 i (+.f64 alpha i)) beta)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) | |
| 65.4% | (/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (*.f64 #s(literal 1/8 binary64) i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) | |
| 36.5% | (/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (neg.f64 (*.f64 i (neg.f64 (/.f64 (+.f64 alpha i) beta))))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) | |
| 19.1% | (/.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 #s(approx (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (neg.f64 (/.f64 (*.f64 alpha alpha) beta)))))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| 19.4% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 alpha i) i)) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| ▶ | 33.0% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
| 15.9% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (fma.f64 i (*.f64 (/.f64 (*.f64 i i) beta) #s(literal -2 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))) | |
| 35.3% | (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (-.f64 (+.f64 alpha (+.f64 i (*.f64 i (/.f64 (+.f64 alpha i) beta)))) (*.f64 (+.f64 alpha i) (/.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) beta)))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) | |
| ▶ | 46.3% | (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) |
| 35.1% | (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (-.f64 (+.f64 alpha (+.f64 i (*.f64 i (/.f64 (+.f64 alpha i) beta)))) (*.f64 (+.f64 alpha i) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i)) #s(literal 1 binary64)) beta))) beta))) | |
| 16.3% | (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (*.f64 (/.f64 alpha (+.f64 alpha beta)) (/.f64 beta (-.f64 (+.f64 alpha beta) #s(literal 1 binary64)))))) | |
| ▶ | 65.6% | (*.f64 (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
| 41.0% | (*.f64 (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 alpha beta)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (+.f64 alpha i) beta))) | |
| 65.6% | (*.f64 (/.f64 (*.f64 i (/.f64 (+.f64 i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) | |
| 63.6% | (*.f64 (/.f64 #s(approx (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (*.f64 (neg.f64 i) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 (neg.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha beta) (/.f64 (*.f64 (+.f64 alpha beta) #s(literal -1/4 binary64)) i)))) i) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) | |
| 34.8% | (*.f64 (/.f64 #s(approx (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (*.f64 i (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 i) (+.f64 alpha beta))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (+.f64 alpha i) beta))) | |
| 27.8% | (*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 (*.f64 i (+.f64 beta i)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) | |
| 19.3% | (*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) | |
| 36.3% | (*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (+.f64 alpha i) beta))) | |
| ▶ | 5.2% | (*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
| 15.8% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (fma.f64 (+.f64 alpha i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (*.f64 beta beta))) | |
| 36.5% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 i beta) (/.f64 beta (+.f64 i alpha)))) | |
| 36.5% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) beta)) | |
| ▶ | 25.8% | #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 (+.f64 alpha i) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta i)))) |
| 26.7% | #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 (neg.f64 (+.f64 i alpha)) i) (/.f64 #s(literal -1 binary64) beta)) beta)) | |
| 18.1% | #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 i alpha) (/.f64 i (*.f64 beta beta)))) | |
| 27.1% | #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 alpha i) (/.f64 (/.f64 i beta) beta))) | |
| 32.8% | #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) beta) (/.f64 i beta)) (/.f64 i beta))) | |
| 15.5% | #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(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))) | |
| 34.6% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 i (*.f64 alpha beta))))) (/.f64 i beta))) | |
| 17.3% | #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(approx (/ (* (/ i beta) (neg (+ alpha i))) (neg beta)) (/.f64 (*.f64 i i) (*.f64 beta beta)))) | |
| 15.5% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (/.f64 (*.f64 (/.f64 i beta) alpha) beta))) | |
| ✓ | 11.8% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
| ✓ | 65.3% | #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 1 985 to 1 145 computations (42.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 (+.f64 alpha beta) i) | |
| cost-diff | 0 | (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) | |
| cost-diff | 0 | (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) | |
| cost-diff | 704 | (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| cost-diff | 128 | (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) | |
| cost-diff | 128 | (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) | |
| cost-diff | 0 | (+.f64 alpha i) | |
| cost-diff | 0 | (/.f64 (*.f64 (+.f64 alpha i) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta i))) | |
| cost-diff | 0 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 alpha i) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta i)))) | |
| cost-diff | 320 | (*.f64 (+.f64 alpha i) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) | |
| cost-diff | 0 | (/.f64 i beta) | |
| cost-diff | 0 | #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) | |
| cost-diff | 0 | #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) | |
| cost-diff | 0 | (*.f64 (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
| 8 340× | lower-fma.f32 |
| 8 338× | lower-fma.f64 |
| 4 388× | lower-*.f32 |
| 4 366× | lower-*.f64 |
| 3 768× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 808 |
| 0 | 106 | 787 |
| 1 | 229 | 783 |
| 2 | 714 | 773 |
| 3 | 3625 | 757 |
| 4 | 6001 | 717 |
| 0 | 8322 | 709 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
#s(approx (+ (+ alpha beta) i) (+.f64 beta i)) |
(+.f64 beta i) |
beta |
i |
(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) |
#s(literal 2 binary64) |
(+.f64 alpha beta) |
alpha |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
#s(literal 1 binary64) |
#s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
#s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) |
(/.f64 i beta) |
i |
beta |
#s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 alpha i) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta i)))) |
(/.f64 (*.f64 (+.f64 alpha i) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta i))) |
(*.f64 (+.f64 alpha i) #s(literal 1 binary64)) |
(+.f64 alpha i) |
alpha |
i |
#s(literal 1 binary64) |
(*.f64 beta (/.f64 beta i)) |
beta |
(/.f64 beta i) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) |
(*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i)) |
#s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 i i) |
i |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) |
(+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) |
(+.f64 alpha beta) |
alpha |
beta |
(*.f64 #s(literal 2 binary64) i) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
(*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(+.f64 (+.f64 alpha beta) i) |
(+.f64 alpha beta) |
alpha |
beta |
i |
(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) |
#s(literal 2 binary64) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
#s(literal 1 binary64) |
(/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))) |
#s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) |
(+.f64 alpha i) |
(-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 #s(approx (+ (+ alpha beta) i) (+.f64 i beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (/.f64 (*.f64 i #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) (fma.f64 #s(literal 2 binary64) i (+.f64 (-.f64 alpha #s(literal -1 binary64)) beta)))) |
(/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta))) (fma.f64 #s(literal 2 binary64) i (+.f64 (-.f64 alpha #s(literal -1 binary64)) beta))) |
(*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta))) |
#s(approx (+ (+ alpha beta) i) (+.f64 beta i)) |
#s(approx (+ (+ alpha beta) i) (+.f64 i beta)) |
(+.f64 beta i) |
(+.f64 i beta) |
beta |
i |
(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) |
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) |
#s(literal 2 binary64) |
(+.f64 alpha beta) |
(+.f64 beta alpha) |
alpha |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
(fma.f64 #s(literal 2 binary64) i (+.f64 (-.f64 alpha #s(literal -1 binary64)) beta)) |
#s(literal 1 binary64) |
#s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
#s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) |
(/.f64 i beta) |
i |
beta |
#s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 alpha i) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta i)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (/.f64 (+.f64 i alpha) beta) beta) i)) |
(/.f64 (*.f64 (+.f64 alpha i) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta i))) |
(*.f64 (/.f64 (/.f64 (+.f64 i alpha) beta) beta) i) |
(*.f64 (+.f64 alpha i) #s(literal 1 binary64)) |
(+.f64 i alpha) |
(+.f64 alpha i) |
(+.f64 i alpha) |
alpha |
i |
#s(literal 1 binary64) |
(*.f64 beta (/.f64 beta i)) |
(*.f64 (/.f64 beta i) beta) |
beta |
(/.f64 beta i) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) i) i)) (fma.f64 (fma.f64 #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(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) i) i)) |
(*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i)) |
(*.f64 (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) i) i) |
#s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) |
#s(literal 1/4 binary64) |
(*.f64 i i) |
i |
(-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 #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 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 (+.f64 i alpha) beta) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) i)) |
(/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(/.f64 (*.f64 (/.f64 (+.f64 (+.f64 i alpha) beta) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) i) (fma.f64 #s(literal 2 binary64) i (+.f64 (-.f64 alpha #s(literal -1 binary64)) beta))) |
(*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(*.f64 (/.f64 (+.f64 (+.f64 i alpha) beta) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) i) |
(+.f64 (+.f64 alpha beta) i) |
(+.f64 (+.f64 i alpha) beta) |
(+.f64 alpha beta) |
(+.f64 beta alpha) |
alpha |
beta |
i |
(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
(/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
(fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) |
(fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) |
#s(literal 2 binary64) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) |
(fma.f64 #s(literal 2 binary64) i (+.f64 (-.f64 alpha #s(literal -1 binary64)) beta)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) |
#s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) |
#s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)) |
(+.f64 alpha i) |
(+.f64 i alpha) |
(-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)) |
(-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))) | |
| accuracy | 0.0546875 | (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) | |
| accuracy | 0.14910126953688402 | (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) | |
| accuracy | 34.293638205268834 | #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) | |
| accuracy | 0.28995439147321816 | (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i)) | |
| accuracy | 15.068532696425258 | #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) | |
| accuracy | 21.989127373943248 | #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) | |
| accuracy | 37.99475355451798 | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| accuracy | 0 | (*.f64 (+.f64 alpha i) #s(literal 1 binary64)) | |
| accuracy | 0.12890625 | (*.f64 beta (/.f64 beta i)) | |
| accuracy | 7.034694823515963 | (/.f64 (*.f64 (+.f64 alpha i) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta i))) | |
| accuracy | 40.534523198680134 | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 alpha i) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta i)))) | |
| accuracy | 0 | (/.f64 i beta) | |
| accuracy | 0.14910126953688402 | (*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) | |
| accuracy | 22.123590430008594 | #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) | |
| accuracy | 40.36033173269739 | #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) | |
| accuracy | 0.0546875 | (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) | |
| accuracy | 0.14910126953688402 | (*.f64 (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) | |
| accuracy | 0.15247907142524733 | #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) | |
| accuracy | 22.123590430008594 | #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) |
| 114.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 1 | valid |
Compiled 738 to 49 computations (93.4% saved)
ival-mult: 32.0ms (42.4% of total)ival-div: 25.0ms (33.1% of total)ival-add: 13.0ms (17.2% of total)ival-sub: 3.0ms (4% of total)ival-neg: 1.0ms (1.3% 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 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (patch (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (patch (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (patch #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) (patch (*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) (patch #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) #<representation binary64>) () ()) |
#s(alt (/.f64 i beta) (patch (/.f64 i beta) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) (patch #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 alpha i) #s(literal 1 binary64)) (patch (*.f64 (+.f64 alpha i) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 alpha i) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta i)))) (patch #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 alpha i) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta i)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (+.f64 alpha i) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta i))) (patch (/.f64 (*.f64 (+.f64 alpha i) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta 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 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) (patch (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (patch #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) (patch (*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (patch (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (patch (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (+.f64 alpha beta) i) (patch (+.f64 (+.f64 alpha beta) i) #<representation binary64>) () ()) |
#s(alt (*.f64 beta (/.f64 beta i)) (patch (*.f64 beta (/.f64 beta i)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (patch #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i)) (patch (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (patch #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))) (patch (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (taylor 0 beta) (#s(alt (*.f64 (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) (patch (*.f64 (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) #<representation binary64>) () ())) ()) |
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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 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (patch #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) #<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 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (patch #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) #<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 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (patch #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) #<representation binary64>) () ())) ()) |
#s(alt 1/4 (taylor -inf i) (#s(alt (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))) (patch (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/4 (* -1 (/ (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) i))) (taylor -inf i) (#s(alt (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))) (patch (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* alpha beta)) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))))))) i)) (* -1/4 (+ alpha beta))) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) i))) (taylor -inf i) (#s(alt (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))) (patch (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* alpha beta)) (+ (* 1/4 (/ (* (+ alpha beta) (* (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) (- (+ alpha beta) 1))) i)) (* 1/4 (/ (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* 1/4 (* alpha beta)) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))))))))) i)))) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))))))) i)) (* -1/4 (+ alpha beta))) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) i))) (taylor -inf i) (#s(alt (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))) (patch (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | alpha | @ | inf | ((* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ (+ alpha beta) i) (* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ i beta) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (* (+ alpha 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) 1) (* beta (/ beta 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)))) (* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ (+ alpha beta) i) (* beta (/ beta i)) (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) |
| 4.0ms | beta | @ | 0 | ((* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ (+ alpha beta) i) (* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ i beta) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (* (+ alpha 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) 1) (* beta (/ beta 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)))) (* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ (+ alpha beta) i) (* beta (/ beta i)) (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) |
| 3.0ms | i | @ | -inf | ((* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ (+ alpha beta) i) (* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ i beta) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (* (+ alpha 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) 1) (* beta (/ beta 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)))) (* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ (+ alpha beta) i) (* beta (/ beta i)) (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) |
| 3.0ms | i | @ | 0 | ((* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ (+ alpha beta) i) (* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ i beta) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (* (+ alpha 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) 1) (* beta (/ beta 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)))) (* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ (+ alpha beta) i) (* beta (/ beta i)) (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) |
| 3.0ms | beta | @ | -inf | ((* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ (+ alpha beta) i) (* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ i beta) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (* (+ alpha 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) 1) (* beta (/ beta 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)))) (* (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ (+ alpha beta) i) (* beta (/ beta i)) (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) (* i i)) (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1))) |
| 1× | egg-herbie |
| 5 330× | lower-+.f64 |
| 5 330× | lower-+.f32 |
| 5 220× | lower-*.f64 |
| 5 220× | lower-*.f32 |
| 4 118× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2564 | 68503 |
| 0 | 8056 | 62316 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) |
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(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 alpha) alpha) i)))) |
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(/ (* i (+ alpha i)) (+ alpha (* 2 i))) |
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(/ (* i (+ alpha i)) (pow beta 2)) |
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(/ i beta) |
(/ (- (+ i (/ (* i (+ alpha i)) beta)) (/ (* i (+ 1 (+ (* 2 alpha) (* 4 i)))) beta)) beta) |
(/ (- (+ i (+ (* -1 (/ (+ (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ 1 (+ (* 2 alpha) (* 4 i))) (- (* i (+ alpha i)) (* i (+ 1 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (/ (* i (+ alpha i)) beta))) (/ (* i (+ 1 (+ (* 2 alpha) (* 4 i)))) beta)) beta) |
(/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (+ 1 (+ (* 2 alpha) (* 4 i))) (+ (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ 1 (+ (* 2 alpha) (* 4 i))) (- (* i (+ alpha i)) (* i (+ 1 (+ (* 2 alpha) (* 4 i))))))))) (* (+ 1 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* i (+ 1 (+ (* 2 alpha) (* 4 i)))))))) (pow beta 3))) (/ (* i (+ alpha i)) beta))) (+ (/ (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (pow beta 2)) (+ (/ (* i (+ 1 (+ (* 2 alpha) (* 4 i)))) beta) (/ (* (+ 1 (+ (* 2 alpha) (* 4 i))) (- (* i (+ alpha i)) (* i (+ 1 (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) beta) |
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)) |
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beta |
(* beta (+ 1 (+ (/ alpha beta) (/ i beta)))) |
(* beta (+ 1 (+ (/ alpha beta) (/ i beta)))) |
(* beta (+ 1 (+ (/ alpha beta) (/ i beta)))) |
(/ (* i (+ alpha i)) (pow beta 2)) |
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(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 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) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))))) (pow 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 beta) |
(/ (- (+ i (/ (* i (+ alpha i)) beta)) (/ (* i (+ 1 (+ (* 2 alpha) (* 4 i)))) beta)) beta) |
(/ (- (+ i (+ (* -1 (/ (+ (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ 1 (+ (* 2 alpha) (* 4 i))) (- (* i (+ alpha i)) (* i (+ 1 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (/ (* i (+ alpha i)) beta))) (/ (* i (+ 1 (+ (* 2 alpha) (* 4 i)))) beta)) beta) |
(/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (+ 1 (+ (* 2 alpha) (* 4 i))) (+ (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ 1 (+ (* 2 alpha) (* 4 i))) (- (* i (+ alpha i)) (* i (+ 1 (+ (* 2 alpha) (* 4 i))))))))) (* (+ 1 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* i (+ 1 (+ (* 2 alpha) (* 4 i)))))))) (pow beta 3))) (/ (* i (+ alpha i)) beta))) (+ (/ (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (pow beta 2)) (+ (/ (* i (+ 1 (+ (* 2 alpha) (* 4 i)))) beta) (/ (* (+ 1 (+ (* 2 alpha) (* 4 i))) (- (* i (+ alpha i)) (* i (+ 1 (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) beta) |
(/ i beta) |
(/ i beta) |
(/ i beta) |
(/ i beta) |
(/ (+ alpha i) beta) |
(/ (- (+ alpha (+ i (/ (* i (+ alpha i)) beta))) (/ (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1)) beta)) beta) |
(/ (- (+ alpha (+ i (+ (* -1 (/ (+ (* (+ alpha i) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1))) (pow beta 2))) (/ (* i (+ alpha i)) beta)))) (/ (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1)) beta)) beta) |
(/ (- (+ alpha (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* (+ alpha i) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1))) (* (+ alpha (* 2 i)) (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ alpha (* 2 i)) 1)))) (pow beta 3))) (/ (* i (+ alpha i)) beta)))) (+ (/ (* (+ alpha i) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (pow beta 2)) (+ (/ (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1)) beta) (/ (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1)) (pow beta 2))))) beta) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta)) (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta)) (pow beta 2)) |
(/ (- (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2)))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ alpha i) (+ (* (+ (* 2 alpha) (* 4 i)) (- (pow (+ alpha (* 2 i)) 2) 1)) (* (pow (+ alpha (* 2 i)) 2) (+ (* 2 alpha) (* 4 i)))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1)))) (pow beta 3))) (+ (* i (+ alpha i)) (+ (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) beta) (/ (* (pow i 2) (pow (+ alpha i) 2)) (pow beta 2))))) (+ (/ (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (pow (+ (* 2 alpha) (* 4 i)) 2)) 1))) (pow beta 2)) (/ (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i)))))) (pow beta 2))))) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(/ (* i (+ alpha i)) (pow beta 2)) |
(pow beta 2) |
(* (pow beta 2) (+ 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) (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))))) (pow 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) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (+ (* (+ (* 4 alpha) (* 8 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* i (* (+ alpha i) (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))))) (* (+ (* 4 alpha) (* 8 i)) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 i))))))))) (* (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (- (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* i (* (+ alpha i) (+ (* 4 alpha) (* 8 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) (+ (* 4 alpha) (* 8 i)))) beta) (+ (/ (* i (* (+ alpha i) (+ (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 alpha) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))))) (pow 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 beta) |
(/ (- (+ i (/ (* i (+ alpha i)) beta)) (/ (* i (+ 1 (+ (* 2 alpha) (* 4 i)))) beta)) beta) |
(/ (- (+ i (+ (* -1 (/ (+ (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ 1 (+ (* 2 alpha) (* 4 i))) (- (* i (+ alpha i)) (* i (+ 1 (+ (* 2 alpha) (* 4 i))))))) (pow beta 2))) (/ (* i (+ alpha i)) beta))) (/ (* i (+ 1 (+ (* 2 alpha) (* 4 i)))) beta)) beta) |
(/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (+ 1 (+ (* 2 alpha) (* 4 i))) (+ (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (* (+ 1 (+ (* 2 alpha) (* 4 i))) (- (* i (+ alpha i)) (* i (+ 1 (+ (* 2 alpha) (* 4 i))))))))) (* (+ 1 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* i (+ 1 (+ (* 2 alpha) (* 4 i)))))))) (pow beta 3))) (/ (* i (+ alpha i)) beta))) (+ (/ (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) (pow beta 2)) (+ (/ (* i (+ 1 (+ (* 2 alpha) (* 4 i)))) beta) (/ (* (+ 1 (+ (* 2 alpha) (* 4 i))) (- (* i (+ alpha i)) (* i (+ 1 (+ (* 2 alpha) (* 4 i)))))) (pow beta 2))))) beta) |
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)))) |
(/ (pow beta 2) i) |
(/ (pow beta 2) i) |
(/ (pow beta 2) i) |
(/ (pow beta 2) i) |
(* 1/4 (/ beta i)) |
(* beta (+ (* 1/4 (/ (- (* 2 (/ alpha i)) (/ alpha i)) beta)) (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 i))))) |
(* beta (+ (* 1/4 (/ (- (* 2 (/ alpha i)) (/ alpha i)) beta)) (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 i))))) |
(* beta (+ (* 1/4 (/ (- (* 2 (/ alpha i)) (/ alpha i)) beta)) (+ (* 1/4 (/ 1 beta)) (* 1/4 (/ 1 i))))) |
(* 1/4 (* beta i)) |
(* beta (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta))) |
(* beta (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta))) |
(* beta (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta))) |
(+ 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)))) |
(/ (+ alpha i) beta) |
(/ (- (+ alpha (+ i (/ (* i (+ alpha i)) beta))) (/ (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1)) beta)) beta) |
(/ (- (+ alpha (+ i (+ (* -1 (/ (+ (* (+ alpha i) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1))) (pow beta 2))) (/ (* i (+ alpha i)) beta)))) (/ (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1)) beta)) beta) |
(/ (- (+ alpha (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* (+ alpha i) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1))) (* (+ alpha (* 2 i)) (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ alpha (* 2 i)) 1)))) (pow beta 3))) (/ (* i (+ alpha i)) beta)))) (+ (/ (* (+ alpha i) (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (pow beta 2)) (+ (/ (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1)) beta) (/ (* (- (* i (+ alpha i)) (* (+ alpha i) (- (+ (* 2 alpha) (* 4 i)) 1))) (- (+ (* 2 alpha) (* 4 i)) 1)) (pow beta 2))))) beta) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))) (* (+ 1 (+ alpha (* 2 i))) (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (+ (/ (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))))))) beta) (/ (* (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))))) beta)))) (+ (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))) beta))) (pow beta 2)) |
(/ i beta) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* i (+ alpha i)) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) beta)) (+ (* i (+ alpha i)) (/ (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (* i (+ alpha i)) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta))) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (* i (+ alpha i)) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))) beta)) (/ (* (+ 1 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta)) (+ (* -1 (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (* i (+ alpha i)) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) beta)) (* i (+ alpha i))) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)) |
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))) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))) (* (+ 1 (+ alpha (* 2 i))) (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (+ (/ (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))))))) beta) (/ (* (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))))) beta)))) (+ (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))) beta))) (pow beta 2)) |
(/ i beta) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* i (+ alpha i)) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) beta)) (+ (* i (+ alpha i)) (/ (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (* i (+ alpha i)) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta))) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (* i (+ alpha i)) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))) beta)) (/ (* (+ 1 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta)) (+ (* -1 (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (* i (+ alpha i)) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) beta)) (* i (+ alpha i))) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)) |
(/ i beta) |
(/ i beta) |
(/ i beta) |
(/ i beta) |
(* -1 (/ (+ (* -1 alpha) (* -1 i)) beta)) |
(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta)) |
(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* i (+ alpha i)) (+ (/ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) beta) (/ (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))) beta))) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta)) |
(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (+ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))))) beta)) (/ (* (+ alpha (* 2 i)) (* (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) (- (+ alpha (* 2 i)) 1))) beta)) (+ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))))) beta)) (* i (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta)) |
(* -1 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ alpha (* 2 i)) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1))))))) beta)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ alpha (* 2 i)) (- (pow (+ alpha (* 2 i)) 2) 1))) (* -2 (pow (+ alpha (* 2 i)) 3))) (+ (* -1 alpha) (* -1 i)))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)) beta)))) (+ (* -4 (* (+ alpha (* 2 i)) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (- (+ (* 2 (pow (+ alpha (* 2 i)) 2)) (* 4 (pow (+ alpha (* 2 i)) 2))) 1)))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* 4 (* i (* (+ alpha (* 2 i)) (+ (* -1 alpha) (* -1 i)))))) beta))) (pow beta 2)) |
(/ (* 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 (/ (* i (+ (* -1 alpha) (* -1 i))) (pow beta 2))) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))) beta))) (pow beta 2)) |
(/ (+ (* -1 (* i (+ (* -1 alpha) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))) (* (+ 1 (+ alpha (* 2 i))) (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2))))))) beta)) (+ (* (pow i 2) (pow (+ alpha i) 2)) (+ (/ (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* (pow i 2) (pow (+ alpha i) 2)) (+ (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))))))) beta) (/ (* (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))))) beta)))) (+ (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ alpha (* 2 i)) (- (+ alpha (* 2 i)) 1))) (* -1 (pow (+ alpha (* 2 i)) 2)))) (* (+ 1 (+ alpha (* 2 i))) (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1)))))))))) beta)) (* i (+ (* -1 (* i (+ alpha i))) (* (+ alpha i) (+ (* -1 alpha) (* -1 i)))))) (* -1 (* i (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (- (+ alpha (+ (* 2 i) (* 2 (+ alpha (* 2 i))))) 1))))))) beta))) (pow beta 2)) |
(/ i beta) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* i (+ alpha i)) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) beta)) (+ (* i (+ alpha i)) (/ (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (* i (+ alpha i)) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))) beta))) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (* i (+ alpha i)) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))) beta)) (/ (* (+ 1 (+ alpha (* 2 i))) (* (+ alpha (* 2 i)) (- (* i (+ alpha i)) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))))) beta)) (+ (* -1 (* i (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i))))) (* (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))) (- (* i (+ alpha i)) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i)))))))))) beta)) (* i (+ alpha i))) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)) |
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))) |
(/ (pow beta 2) i) |
(/ (pow beta 2) i) |
(/ (pow beta 2) i) |
(/ (pow beta 2) i) |
(* 1/4 (/ beta i)) |
(* -1 (* beta (- (* -1 (/ (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i)))) beta)) (* 1/4 (/ 1 i))))) |
(* -1 (* beta (- (* -1 (/ (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i)))) beta)) (* 1/4 (/ 1 i))))) |
(* -1 (* beta (- (* -1 (/ (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i)))) beta)) (* 1/4 (/ 1 i))))) |
(* 1/4 (* beta i)) |
(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta)) (* -1/4 i)))) |
(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta)) (* -1/4 i)))) |
(* -1 (* beta (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ alpha i)) (/ alpha i))))) beta)) (* -1/4 i)))) |
(* -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))) |
(* -1 (/ (+ (* -1 alpha) (* -1 i)) beta)) |
(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta)) |
(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* i (+ alpha i)) (+ (/ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) beta) (/ (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))) beta))) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta)) |
(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (+ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))))) beta)) (/ (* (+ alpha (* 2 i)) (* (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) (- (+ alpha (* 2 i)) 1))) beta)) (+ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))))) beta)) (* i (+ alpha i))) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta)) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (+ 1 (+ beta (* 2 i))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1)))) |
(+ (* alpha (- (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* (+ 1 (+ beta (* 2 i))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ beta i) 2) (+ (* (+ 1 (+ beta (* 2 i))) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (* (pow (+ beta (* 2 i)) 4) (pow (- (+ beta (* 2 i)) 1) 2)))))) (/ (* (pow i 2) (pow (+ beta i) 2)) (* (+ 1 (+ beta (* 2 i))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))))) |
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(/ (* i (+ beta i)) (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) |
(+ (* alpha (- (/ i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* i (* (+ 1 (+ (* 2 beta) (* 4 i))) (+ beta i))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ beta i)) (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i))))) |
(+ (* alpha (- (+ (* -1 (* alpha (+ (/ (* i (+ beta i)) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))) (/ (* (+ 1 (+ (* 2 beta) (* 4 i))) (- (/ i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* i (* (+ 1 (+ (* 2 beta) (* 4 i))) (+ beta i))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i))))))) (/ i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* i (* (+ 1 (+ (* 2 beta) (* 4 i))) (+ beta i))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ beta i)) (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i))))) |
(+ (* alpha (- (+ (* alpha (- (* alpha (- (/ (* i (* (+ 1 (+ (* 2 beta) (* 4 i))) (+ beta i))) (* (pow (+ 1 (+ beta (* 2 i))) 3) (pow (+ beta (* 2 i)) 3))) (+ (* -1 (/ (* (+ 1 (+ (* 2 beta) (* 4 i))) (+ (/ (* i (+ beta i)) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))) (/ (* (+ 1 (+ (* 2 beta) (* 4 i))) (- (/ i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* i (* (+ 1 (+ (* 2 beta) (* 4 i))) (+ beta i))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))))) (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ i (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2)))))) (+ (/ (* i (+ beta i)) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))) (/ (* (+ 1 (+ (* 2 beta) (* 4 i))) (- (/ i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (/ (* i (* (+ 1 (+ (* 2 beta) (* 4 i))) (+ beta i))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i))))))) (/ i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i))))) (/ (* i (* (+ 1 (+ (* 2 beta) (* 4 i))) (+ beta i))) (* (pow (+ 1 (+ beta (* 2 i))) 2) (pow (+ beta (* 2 i)) 2))))) (/ (* i (+ beta i)) (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i))))) |
(/ (* 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)))) |
(+ (* 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)))) |
(+ (* 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)))) |
(+ beta i) |
(+ alpha (+ beta i)) |
(+ alpha (+ beta i)) |
(+ alpha (+ beta i)) |
(/ (* (pow i 2) (pow (+ beta i) 2)) (* (+ 1 (+ beta (* 2 i))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1)))) |
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i |
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(/ i alpha) |
(/ (- (+ i (/ (* i (+ beta i)) alpha)) (/ (* i (+ 1 (+ (* 2 beta) (* 4 i)))) alpha)) alpha) |
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(/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (+ 1 (+ (* 2 beta) (* 4 i))) (+ (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 1 (+ (* 2 beta) (* 4 i))) (- (* i (+ beta i)) (* i (+ 1 (+ (* 2 beta) (* 4 i))))))))) (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ 1 (+ (* 2 beta) (* 4 i)))))))) (pow alpha 3))) (/ (* i (+ beta i)) alpha))) (+ (/ (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow alpha 2)) (+ (/ (* i (+ 1 (+ (* 2 beta) (* 4 i)))) alpha) (/ (* (+ 1 (+ (* 2 beta) (* 4 i))) (- (* i (+ beta i)) (* i (+ 1 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) alpha) |
(/ (+ beta i) alpha) |
(/ (- (+ beta (+ i (/ (* i (+ beta i)) alpha))) (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha)) alpha) |
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (pow alpha 2))) (/ (* i (+ beta i)) alpha)))) (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha)) alpha) |
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (* (+ beta (* 2 i)) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ beta (* 2 i)) 1)))) (pow alpha 3))) (/ (* i (+ beta i)) alpha)))) (+ (/ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (pow alpha 2)) (+ (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha) (/ (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1)) (pow alpha 2))))) alpha) |
alpha |
(* alpha (+ 1 (/ i alpha))) |
(* alpha (+ 1 (/ i alpha))) |
(* alpha (+ 1 (/ i alpha))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
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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)) |
(/ (* alpha i) (pow beta 2)) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
alpha |
(* alpha (+ 1 (/ i alpha))) |
(* alpha (+ 1 (/ i alpha))) |
(* alpha (+ 1 (/ i alpha))) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha))))) |
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ i alpha)) (/ (pow (+ beta (* 2 i)) 2) (pow alpha 2))))) (/ 1 (pow alpha 2)))) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
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(/ (- (+ (* -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)) |
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(- (+ (* -1 (/ (+ (* (+ (* 2 beta) (* 4 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))))) (* (pow (+ beta (* 2 i)) 2) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))) alpha) (+ (/ (* i (* (+ beta i) (pow (+ beta (* 2 i)) 2))) (pow alpha 2)) (/ (* (+ (* 2 beta) (* 4 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha)) (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha)) (pow alpha 2)) |
(/ (- (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (+ (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 beta) (+ (* 2 i) (* 4 i)))) 1)) (+ (* (+ (* 2 beta) (* 4 i)) (- (+ beta (* 2 i)) 1)) (pow (+ beta (* 2 i)) 2))))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
(/ i alpha) |
(/ (- (+ i (/ (* i (+ beta i)) alpha)) (/ (* i (+ 1 (+ (* 2 beta) (* 4 i)))) alpha)) alpha) |
(/ (- (+ i (+ (* -1 (/ (+ (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 1 (+ (* 2 beta) (* 4 i))) (- (* i (+ beta i)) (* i (+ 1 (+ (* 2 beta) (* 4 i))))))) (pow alpha 2))) (/ (* i (+ beta i)) alpha))) (/ (* i (+ 1 (+ (* 2 beta) (* 4 i)))) alpha)) alpha) |
(/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (+ 1 (+ (* 2 beta) (* 4 i))) (+ (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 1 (+ (* 2 beta) (* 4 i))) (- (* i (+ beta i)) (* i (+ 1 (+ (* 2 beta) (* 4 i))))))))) (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ 1 (+ (* 2 beta) (* 4 i)))))))) (pow alpha 3))) (/ (* i (+ beta i)) alpha))) (+ (/ (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow alpha 2)) (+ (/ (* i (+ 1 (+ (* 2 beta) (* 4 i)))) alpha) (/ (* (+ 1 (+ (* 2 beta) (* 4 i))) (- (* i (+ beta i)) (* i (+ 1 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) alpha) |
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)))) |
(* 1/4 (/ alpha i)) |
(* alpha (+ (* 1/4 (/ (- (* 2 (/ beta i)) (/ beta i)) alpha)) (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 i))))) |
(* alpha (+ (* 1/4 (/ (- (* 2 (/ beta i)) (/ beta i)) alpha)) (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 i))))) |
(* alpha (+ (* 1/4 (/ (- (* 2 (/ beta i)) (/ beta i)) alpha)) (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 i))))) |
(* 1/4 (* alpha i)) |
(* alpha (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha))) |
(* alpha (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha))) |
(* alpha (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha))) |
(+ 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)))) |
(/ (+ beta i) alpha) |
(/ (- (+ beta (+ i (/ (* i (+ beta i)) alpha))) (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha)) alpha) |
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (pow alpha 2))) (/ (* i (+ beta i)) alpha)))) (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha)) alpha) |
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (* (+ beta (* 2 i)) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ beta (* 2 i)) 1)))) (pow alpha 3))) (/ (* i (+ beta i)) alpha)))) (+ (/ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (pow alpha 2)) (+ (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha) (/ (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1)) (pow alpha 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))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))) (* (+ 1 (+ beta (* 2 i))) (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (+ (/ (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))))))) alpha) (/ (* (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))) alpha)))) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/ i alpha) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) alpha)) (+ (* i (+ beta i)) (/ (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))) alpha)) (/ (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (+ (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) alpha)) (* i (+ beta i))) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha))) alpha)) |
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))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))) (* (+ 1 (+ beta (* 2 i))) (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (+ (/ (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))))))) alpha) (/ (* (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))) alpha)))) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/ i alpha) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) alpha)) (+ (* i (+ beta i)) (/ (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))) alpha)) (/ (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (+ (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) alpha)) (* i (+ beta i))) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 beta) (* -1 i)) alpha)) |
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha)) |
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* i (+ beta i)) (+ (/ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) alpha) (/ (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))) alpha))) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha)) |
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (+ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))))) alpha)) (/ (* (+ beta (* 2 i)) (* (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) (- (+ beta (* 2 i)) 1))) alpha)) (+ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))))) alpha)) (* i (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha)) |
alpha |
(* -1 (* alpha (- (* -1 (/ i alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ i alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ i alpha)) 1))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/ (* alpha i) (pow beta 2)) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
(* -1 (* alpha (+ (* -1 (/ i (pow beta 2))) (* -1 (/ (pow i 2) (* alpha (pow beta 2))))))) |
alpha |
(* -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 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))) (* (+ 1 (+ beta (* 2 i))) (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (+ (/ (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))))))) alpha) (/ (* (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))) alpha)))) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/ i alpha) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) alpha)) (+ (* i (+ beta i)) (/ (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))) alpha)) (/ (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (+ (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) alpha)) (* i (+ beta i))) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha))) alpha)) |
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))) |
(* 1/4 (/ alpha i)) |
(* -1 (* alpha (- (* -1 (/ (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i)))) alpha)) (* 1/4 (/ 1 i))))) |
(* -1 (* alpha (- (* -1 (/ (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i)))) alpha)) (* 1/4 (/ 1 i))))) |
(* -1 (* alpha (- (* -1 (/ (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i)))) alpha)) (* 1/4 (/ 1 i))))) |
(* 1/4 (* alpha i)) |
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)) (* -1/4 i)))) |
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)) (* -1/4 i)))) |
(* -1 (* alpha (+ (* -1 (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha)) (* -1/4 i)))) |
(* -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))) |
(* -1 (/ (+ (* -1 beta) (* -1 i)) alpha)) |
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha)) |
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* i (+ beta i)) (+ (/ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) alpha) (/ (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))) alpha))) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha)) |
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(/ i beta) |
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alpha |
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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)))) |
alpha |
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i |
(* i (+ 1 (* -1 (/ i (+ alpha beta))))) |
(* i (+ 1 (* i (- (* 2 (/ i (pow (+ alpha beta) 2))) (/ 1 (+ alpha beta)))))) |
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(/ (pow beta 2) i) |
(/ (pow beta 2) i) |
(/ (pow beta 2) i) |
(/ (pow beta 2) i) |
(* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)) |
(/ (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta)))) i) |
(/ (+ (* 1/4 i) (* 1/4 (- (* 2 (+ alpha beta)) (+ alpha beta)))) i) |
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(* 1/4 (* i (- (* 2 (+ alpha beta)) (+ alpha beta)))) |
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(/ (* alpha beta) (+ alpha beta)) |
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(/ (* alpha beta) (* (+ alpha beta) (- (+ alpha beta) 1))) |
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1/16 |
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1/4 |
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(* 1/2 i) |
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i |
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1/16 |
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1/4 |
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(/ i beta) |
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i |
(* i (+ 1 (/ alpha i))) |
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1/16 |
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(/ (pow i 2) (pow beta 2)) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
i |
(* i (+ 1 (/ alpha i))) |
(* i (+ 1 (/ alpha i))) |
(* i (+ 1 (/ alpha i))) |
(* 4 (pow i 2)) |
(* (pow i 2) (+ 4 (* 4 (/ (+ alpha beta) i)))) |
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(* (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)))) |
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(* i (+ 2 (+ (/ alpha i) (/ beta i)))) |
1/16 |
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(* 1/4 (pow i 2)) |
(* (pow i 2) (- (+ 1/4 (* 1/4 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/4 (/ (+ alpha beta) i)))) |
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(* (pow i 2) (- (+ 1/4 (+ (* 1/4 (/ (* 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 |
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1/4 |
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(* 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)))) |
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(/ (pow beta 2) i) |
(/ (pow beta 2) i) |
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1/4 |
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(* 1/4 (pow i 2)) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
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(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* 1/2 i) |
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(* 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)))))) |
1/4 |
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1/16 |
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1/4 |
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(* 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))) |
1/16 |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* -1/256 (/ (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1/256 (/ (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) i)) (* 1/16 (/ (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/256 (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))) (* 1/16 (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1/256 (/ (+ (* -2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2))))) i)) (+ (* 1/16 (/ (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/256 (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))) (* 1/16 (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))))))) i)) (* 1/16 (/ (* (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) i))))) i))) i))) |
1/4 |
(- (+ 1/4 (* 1/4 (/ (+ alpha beta) i))) (* -1/16 (/ (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))) i))) |
(+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta)))))) (* -1 (/ (+ (* -1/16 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 1/4 (* (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))) (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta)))))))) i))) i))) |
(+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/16 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 1/4 (* (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))) (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta)))))))))) (* 1/4 (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))))))))) i)) (+ (* -1/16 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 1/4 (* (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))) (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))))))))) i))) i))) |
(/ i beta) |
(/ i beta) |
(/ i beta) |
(/ i beta) |
1/4 |
(+ 1/4 (* -1 (/ (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) i))) |
(+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* alpha beta)) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))))))) i)) (* -1/4 (+ alpha beta))) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) i))) |
(+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* alpha beta)) (+ (* 1/4 (/ (* (+ alpha beta) (* (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) (- (+ alpha beta) 1))) i)) (* 1/4 (/ (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* 1/4 (* alpha beta)) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))))))))) i)))) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))))))) i)) (* -1/4 (+ alpha beta))) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) i))) |
i |
(* -1 (* i (- (* -1 (/ alpha i)) 1))) |
(* -1 (* i (- (* -1 (/ alpha i)) 1))) |
(* -1 (* i (- (* -1 (/ alpha 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))) |
(/ (pow i 2) (pow beta 2)) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
(* (pow i 2) (+ (/ 1 (pow beta 2)) (/ alpha (* (pow beta 2) i)))) |
i |
(* -1 (* i (- (* -1 (/ alpha i)) 1))) |
(* -1 (* i (- (* -1 (/ alpha i)) 1))) |
(* -1 (* i (- (* -1 (/ alpha i)) 1))) |
(* 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))) (* -1/256 (/ (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) i))) |
(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1/256 (/ (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) i)) (* 1/16 (/ (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) i)))) i))) |
(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/256 (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))) (* 1/16 (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1/256 (/ (+ (* -2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2))))) i)) (+ (* 1/16 (/ (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/256 (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))) (* 1/16 (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))))))) i)) (* 1/16 (/ (* (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) i))))) i))) i))) |
1/4 |
(- (+ 1/4 (* 1/4 (/ (+ alpha beta) i))) (* -1/16 (/ (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))) i))) |
(+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta)))))) (* -1 (/ (+ (* -1/16 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 1/4 (* (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))) (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta)))))))) i))) i))) |
(+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/16 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 1/4 (* (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))) (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta)))))))))) (* 1/4 (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))))))))) i)) (+ (* -1/16 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 1/4 (* (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))) (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))))))))) 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))) |
(/ (pow beta 2) i) |
(/ (pow beta 2) i) |
(/ (pow beta 2) i) |
(/ (pow beta 2) i) |
1/4 |
(+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i))) |
(+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i))) |
(+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i))) |
(* 1/4 (pow i 2)) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
(* 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))) |
1/4 |
(+ 1/4 (* -1 (/ (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) i))) |
(+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* alpha beta)) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))))))) i)) (* -1/4 (+ alpha beta))) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) i))) |
(+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* alpha beta)) (+ (* 1/4 (/ (* (+ alpha beta) (* (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) (- (+ alpha beta) 1))) i)) (* 1/4 (/ (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* 1/4 (* alpha beta)) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))))))))) i)))) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))))))) i)) (* -1/4 (+ alpha beta))) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) i))) |
| Outputs |
|---|
(/ (* (pow i 2) (pow (+ alpha i) 2)) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) |
(*.f64 (/.f64 (*.f64 i i) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64))))) |
(+ (* beta (- (/ (* i (+ (* i (+ alpha i)) (pow (+ alpha i) 2))) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1)))) (/ (* (pow i 2) (* (pow (+ alpha i) 2) (+ (* (+ 1 (+ alpha (* 2 i))) (+ (* (+ (* 2 alpha) (* 4 i)) (- (+ alpha (* 2 i)) 1)) (pow (+ alpha (* 2 i)) 2))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) (* (pow (+ 1 (+ alpha (* 2 i))) 2) (* (pow (+ alpha (* 2 i)) 4) (pow (- (+ alpha (* 2 i)) 1) 2)))))) (/ (* (pow i 2) (pow (+ alpha i) 2)) (* (+ 1 (+ alpha (* 2 i))) (* (pow (+ alpha (* 2 i)) 2) (- (+ alpha (* 2 i)) 1))))) |
(fma.f64 beta (-.f64 (/.f64 (*.f64 i (fma.f64 i (+.f64 alpha i) (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)))) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (fma.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64))))))) (pow.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) #s(literal 2 binary64))) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 4 binary64)) (pow.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)) #s(literal 2 binary64))))) (*.f64 (/.f64 (*.f64 i i) (+.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64))) (/.f64 (pow.f64 (+.f64 alpha i) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) i alpha) #s(literal 1 binary64)))))) |
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(/ (* i (+ alpha i)) (* (+ 1 (+ alpha (* 2 i))) (+ alpha (* 2 i)))) |
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(/ (* i (+ alpha i)) (+ alpha (* 2 i))) |
(/.f64 (*.f64 i (+.f64 alpha i)) (fma.f64 #s(literal 2 binary64) i alpha)) |
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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) |
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(/ i beta) |
(/.f64 i beta) |
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i |
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beta |
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(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* i (+ alpha i)) (* -1 (* i (+ (* -1 (+ 1 (+ alpha (* 2 i)))) (* -1 (+ alpha (* 2 i))))))) beta))) beta)) |
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(/ i beta) |
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(* -1 (/ (+ (* -1 alpha) (* -1 i)) beta)) |
(neg.f64 (neg.f64 (/.f64 (+.f64 alpha i) beta))) |
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(* -1 (/ (+ (* -1 alpha) (+ (* -1 i) (* -1 (/ (- (+ (* i (+ alpha i)) (+ (/ (* (+ alpha (* 2 i)) (* (+ (* -1 alpha) (* -1 i)) (- (+ alpha (* 2 i)) 1))) beta) (/ (* (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))) (- (* i (+ alpha i)) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1)))))) beta))) (* (+ (* -1 alpha) (* -1 i)) (+ (* -1 (+ alpha (* 2 i))) (* -1 (- (+ alpha (* 2 i)) 1))))) beta)))) beta)) |
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beta |
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(/ i beta) |
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(/ (* (pow i 2) (pow (+ beta i) 2)) (* (+ 1 (+ beta (* 2 i))) (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1)))) |
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i |
(- (+ i (/ (* i (+ beta i)) alpha)) (/ (* i (+ beta (* 2 i))) alpha)) |
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alpha |
(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha)))) |
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(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha)))) |
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(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha)))) |
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(/ i alpha) |
(/.f64 i alpha) |
(/ (- (+ i (/ (* i (+ beta i)) alpha)) (/ (* i (+ 1 (+ (* 2 beta) (* 4 i)))) alpha)) alpha) |
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(/ (- (+ i (+ (* -1 (/ (+ (* -1 (* (+ 1 (+ (* 2 beta) (* 4 i))) (+ (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (* (+ 1 (+ (* 2 beta) (* 4 i))) (- (* i (+ beta i)) (* i (+ 1 (+ (* 2 beta) (* 4 i))))))))) (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* i (+ 1 (+ (* 2 beta) (* 4 i)))))))) (pow alpha 3))) (/ (* i (+ beta i)) alpha))) (+ (/ (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) (pow alpha 2)) (+ (/ (* i (+ 1 (+ (* 2 beta) (* 4 i)))) alpha) (/ (* (+ 1 (+ (* 2 beta) (* 4 i))) (- (* i (+ beta i)) (* i (+ 1 (+ (* 2 beta) (* 4 i)))))) (pow alpha 2))))) alpha) |
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(/ (+ beta i) alpha) |
(/.f64 (+.f64 beta i) alpha) |
(/ (- (+ beta (+ i (/ (* i (+ beta i)) alpha))) (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha)) alpha) |
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(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (pow alpha 2))) (/ (* i (+ beta i)) alpha)))) (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha)) alpha) |
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(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (* (+ beta (* 2 i)) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ beta (* 2 i)) 1)))) (pow alpha 3))) (/ (* i (+ beta i)) alpha)))) (+ (/ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (pow alpha 2)) (+ (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha) (/ (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1)) (pow alpha 2))))) alpha) |
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alpha |
(* alpha (+ 1 (/ i alpha))) |
(*.f64 alpha (+.f64 (/.f64 i alpha) #s(literal 1 binary64))) |
(* alpha (+ 1 (/ i alpha))) |
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(* alpha (+ 1 (/ i alpha))) |
(*.f64 alpha (+.f64 (/.f64 i alpha) #s(literal 1 binary64))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/.f64 (*.f64 i (+.f64 beta 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)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2)))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
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(/ (- (+ (* -1 (/ (+ (* i (* (+ beta i) (+ (* (+ (* 2 beta) (* 4 i)) (- (pow (+ beta (* 2 i)) 2) 1)) (* (pow (+ beta (* 2 i)) 2) (+ (* 2 beta) (* 4 i)))))) (+ (* (+ (* 4 beta) (* 8 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))))))) (* (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1)))) (pow alpha 3))) (+ (* i (+ beta i)) (+ (/ (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) alpha) (/ (* (pow i 2) (pow (+ beta i) 2)) (pow alpha 2))))) (+ (/ (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))) alpha) (+ (/ (* i (* (+ beta i) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (pow (+ (* 2 beta) (* 4 i)) 2)) 1))) (pow alpha 2)) (/ (* (+ (* 4 beta) (* 8 i)) (- (* i (+ (* i (+ beta i)) (pow (+ beta i) 2))) (* i (* (+ beta i) (+ (* 4 beta) (* 8 i)))))) (pow alpha 2))))) (pow alpha 2)) |
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(/ (* alpha i) (pow beta 2)) |
(*.f64 alpha (/.f64 i (*.f64 beta beta))) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(*.f64 alpha (+.f64 (/.f64 (/.f64 (*.f64 i i) alpha) (*.f64 beta beta)) (/.f64 i (*.f64 beta beta)))) |
(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
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(* alpha (+ (/ i (pow beta 2)) (/ (pow i 2) (* alpha (pow beta 2))))) |
(*.f64 alpha (+.f64 (/.f64 (/.f64 (*.f64 i i) alpha) (*.f64 beta beta)) (/.f64 i (*.f64 beta beta)))) |
alpha |
(* alpha (+ 1 (/ i alpha))) |
(*.f64 alpha (+.f64 (/.f64 i alpha) #s(literal 1 binary64))) |
(* alpha (+ 1 (/ i alpha))) |
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(* alpha (+ 1 (/ i alpha))) |
(*.f64 alpha (+.f64 (/.f64 i alpha) #s(literal 1 binary64))) |
(pow alpha 2) |
(*.f64 alpha alpha) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ i alpha))))) |
(*.f64 (*.f64 alpha alpha) (+.f64 (fma.f64 #s(literal 4 binary64) (/.f64 i alpha) (*.f64 #s(literal 2 binary64) (/.f64 beta alpha))) #s(literal 1 binary64))) |
(* (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)))) |
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alpha |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(*.f64 alpha (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 i alpha) (/.f64 beta alpha)) #s(literal 1 binary64))) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(*.f64 alpha (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 i alpha) (/.f64 beta alpha)) #s(literal 1 binary64))) |
(* alpha (+ 1 (+ (* 2 (/ i alpha)) (/ beta alpha)))) |
(*.f64 alpha (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 i alpha) (/.f64 beta alpha)) #s(literal 1 binary64))) |
(/ (* i (+ beta i)) (pow alpha 2)) |
(/.f64 (*.f64 i (+.f64 beta 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 (+ (/ (* 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)))) |
(-.f64 (+.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (*.f64 i (-.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) i beta)))) (pow.f64 alpha #s(literal 3 binary64)))) i) (fma.f64 i (/.f64 (fma.f64 #s(literal 2 binary64) i beta) alpha) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (*.f64 i (-.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) i beta)))) (*.f64 alpha alpha)))) |
alpha |
(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha)))) |
(*.f64 alpha (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)) (/.f64 i alpha))) |
(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha)))) |
(*.f64 alpha (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)) (/.f64 i alpha))) |
(* alpha (+ 1 (+ (/ beta alpha) (/ i alpha)))) |
(*.f64 alpha (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta alpha)) (/.f64 i alpha))) |
(* 1/4 (/ alpha i)) |
(*.f64 #s(literal 1/4 binary64) (/.f64 alpha i)) |
(* alpha (+ (* 1/4 (/ (- (* 2 (/ beta i)) (/ beta i)) alpha)) (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 i))))) |
(*.f64 alpha (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) beta) i) alpha) (+.f64 (/.f64 #s(literal 1/4 binary64) alpha) (/.f64 #s(literal 1/4 binary64) i)))) |
(* alpha (+ (* 1/4 (/ (- (* 2 (/ beta i)) (/ beta i)) alpha)) (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 i))))) |
(*.f64 alpha (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) beta) i) alpha) (+.f64 (/.f64 #s(literal 1/4 binary64) alpha) (/.f64 #s(literal 1/4 binary64) i)))) |
(* alpha (+ (* 1/4 (/ (- (* 2 (/ beta i)) (/ beta i)) alpha)) (+ (* 1/4 (/ 1 alpha)) (* 1/4 (/ 1 i))))) |
(*.f64 alpha (fma.f64 #s(literal 1/4 binary64) (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) beta) i) alpha) (+.f64 (/.f64 #s(literal 1/4 binary64) alpha) (/.f64 #s(literal 1/4 binary64) i)))) |
(* 1/4 (* alpha i)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 alpha i)) |
(* alpha (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha))) |
(*.f64 alpha (fma.f64 (*.f64 i i) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) beta) i) #s(literal 1/4 binary64)) alpha) (*.f64 #s(literal 1/4 binary64) i))) |
(* alpha (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha))) |
(*.f64 alpha (fma.f64 (*.f64 i i) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) beta) i) #s(literal 1/4 binary64)) alpha) (*.f64 #s(literal 1/4 binary64) i))) |
(* alpha (+ (* 1/4 i) (/ (* (pow i 2) (+ 1/4 (* 1/4 (- (* 2 (/ beta i)) (/ beta i))))) alpha))) |
(*.f64 alpha (fma.f64 (*.f64 i i) (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) beta) i) #s(literal 1/4 binary64)) alpha) (*.f64 #s(literal 1/4 binary64) i))) |
(+ beta i) |
(+.f64 beta i) |
(- (+ beta (+ i (/ (* i (+ beta i)) alpha))) (/ (* (+ beta i) (+ beta (* 2 i))) alpha)) |
(-.f64 (+.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) i) beta) (*.f64 (+.f64 beta i) (/.f64 (fma.f64 #s(literal 2 binary64) i beta) 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)) |
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(- (+ 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)))) |
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(/ (+ beta i) alpha) |
(/.f64 (+.f64 beta i) alpha) |
(/ (- (+ beta (+ i (/ (* i (+ beta i)) alpha))) (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha)) alpha) |
(/.f64 (-.f64 (+.f64 (fma.f64 i (/.f64 (+.f64 beta i) alpha) i) beta) (*.f64 (+.f64 beta i) (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) alpha))) alpha) |
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (pow alpha 2))) (/ (* i (+ beta i)) alpha)))) (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha)) alpha) |
(/.f64 (-.f64 (+.f64 (+.f64 beta i) (fma.f64 i (/.f64 (+.f64 beta i) alpha) (neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 i (+.f64 beta i)) (*.f64 (+.f64 beta i) (-.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))) (-.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (*.f64 (+.f64 beta i) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64))))) (*.f64 alpha alpha))))) (*.f64 (+.f64 beta i) (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) alpha))) alpha) |
(/ (- (+ beta (+ i (+ (* -1 (/ (+ (* -1 (* (+ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1))) (* (+ beta (* 2 i)) (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ beta (* 2 i)) 1)))) (pow alpha 3))) (/ (* i (+ beta i)) alpha)))) (+ (/ (* (+ beta i) (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (pow alpha 2)) (+ (/ (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1)) alpha) (/ (* (- (* i (+ beta i)) (* (+ beta i) (- (+ (* 2 beta) (* 4 i)) 1))) (- (+ (* 2 beta) (* 4 i)) 1)) (pow alpha 2))))) alpha) |
(/.f64 (-.f64 (+.f64 (+.f64 beta i) (fma.f64 i (/.f64 (+.f64 beta i) alpha) (neg.f64 (/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 (*.f64 i (+.f64 beta i)) (*.f64 (+.f64 beta i) (-.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))) (-.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (neg.f64 (*.f64 (fma.f64 (-.f64 (*.f64 i (+.f64 beta i)) (*.f64 (+.f64 beta i) (-.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))) (-.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) (*.f64 (+.f64 beta i) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64))))) (-.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))))) (pow.f64 alpha #s(literal 3 binary64)))))) (fma.f64 (+.f64 beta i) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64))) (*.f64 alpha alpha)) (fma.f64 (+.f64 beta i) (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)) alpha) (/.f64 (*.f64 (-.f64 (*.f64 i (+.f64 beta i)) (*.f64 (+.f64 beta i) (-.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64)))) (-.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) (*.f64 alpha alpha))))) alpha) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/.f64 (*.f64 (neg.f64 i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (/.f64 (-.f64 (*.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) #s(literal 1 binary64)) (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64))))))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))) (* (+ 1 (+ beta (* 2 i))) (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (+ (/ (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))))))) alpha) (/ (* (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))) alpha)))) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
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(/ i alpha) |
(/.f64 i alpha) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha))) alpha)) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 i (+.f64 beta i)) (*.f64 (neg.f64 i) (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))))) alpha) (neg.f64 i)) alpha)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) alpha)) (+ (* i (+ beta i)) (/ (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha))) alpha)) |
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(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))) alpha)) (/ (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (+ (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) alpha)) (* i (+ beta i))) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha))) alpha)) |
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i |
(+ i (* -1 (/ (- (* -1 (* i (+ beta i))) (* -1 (* i (+ beta (* 2 i))))) alpha))) |
(fma.f64 #s(literal -1 binary64) (/.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))) |
(fma.f64 #s(literal -1 binary64) (/.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))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 i (+.f64 beta i) (/.f64 (-.f64 (neg.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal -1 binary64) (*.f64 i (-.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) i beta)))) alpha))) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 #s(literal -1 binary64) (*.f64 i (-.f64 (+.f64 beta i) (fma.f64 #s(literal 2 binary64) i beta)))))) alpha)) (*.f64 #s(literal 1 binary64) (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)))) alpha) i) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1))) |
(*.f64 (neg.f64 alpha) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta i) alpha) #s(literal -1 binary64))) |
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1))) |
(*.f64 (neg.f64 alpha) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta i) alpha) #s(literal -1 binary64))) |
(* -1 (* alpha (- (* -1 (/ (+ beta i) alpha)) 1))) |
(*.f64 (neg.f64 alpha) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta i) alpha) #s(literal -1 binary64))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/.f64 (*.f64 (neg.f64 i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (/.f64 (-.f64 (*.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) #s(literal 1 binary64)) (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64))))))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (/.f64 (-.f64 (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 i i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) #s(literal 1 binary64)) (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)))) (-.f64 (*.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) #s(literal 1 binary64)) (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64))))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))))))))) alpha))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) #s(literal 1 binary64)) (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64))))))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))) (* (+ 1 (+ beta (* 2 i))) (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (+ (/ (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))))))) alpha) (/ (* (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))) alpha)))) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (/.f64 (-.f64 (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (neg.f64 (/.f64 (-.f64 (+.f64 (fma.f64 (*.f64 i i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64)) (fma.f64 (fma.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))))) (/.f64 (-.f64 (*.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) #s(literal 1 binary64)) (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64))))))) alpha) (/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) #s(literal 1 binary64)) (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)))) (-.f64 (*.f64 (*.f64 i i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (fma.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) #s(literal 1 binary64)) (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)))) (-.f64 (*.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) #s(literal 1 binary64)) (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64))))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))))))))) alpha))) (neg.f64 (/.f64 (*.f64 (*.f64 i (*.f64 #s(literal -1 binary64) (+.f64 beta i))) (fma.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))) (-.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64))))))) alpha))) (fma.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) #s(literal 1 binary64)) (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)))) (-.f64 (*.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) #s(literal 1 binary64)) (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64))))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (neg.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)))))))))) alpha))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) #s(literal 1 binary64)) (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64))))))) alpha))) (*.f64 alpha alpha)) |
(/ i alpha) |
(/.f64 i alpha) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha))) alpha)) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 i (+.f64 beta i)) (*.f64 (neg.f64 i) (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))))) alpha) (neg.f64 i)) alpha)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i)))) alpha)) (+ (* i (+ beta i)) (/ (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))) alpha))) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha))) alpha)) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (*.f64 i (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) i beta)) alpha) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))) (/.f64 (-.f64 (*.f64 i (+.f64 beta i)) (*.f64 (neg.f64 i) (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))))) alpha) (*.f64 i (+.f64 beta i)))) (*.f64 (neg.f64 i) (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))))) alpha) (neg.f64 i)) alpha)) |
(* -1 (/ (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))) alpha)) (/ (* (+ 1 (+ beta (* 2 i))) (* (+ beta (* 2 i)) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))))) alpha)) (+ (* -1 (* i (* (+ 1 (+ beta (* 2 i))) (+ beta (* 2 i))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))) (- (* i (+ beta i)) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i)))))))))) alpha)) (* i (+ beta i))) (* -1 (* i (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (+ beta (* 2 i))))))) alpha))) alpha)) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 i (+.f64 beta i) (neg.f64 (/.f64 (-.f64 (fma.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 (*.f64 i (+.f64 beta i)) (*.f64 (neg.f64 i) (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta)))))) alpha) (neg.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))) (-.f64 (*.f64 i (+.f64 beta i)) (*.f64 (neg.f64 i) (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))))) (*.f64 (neg.f64 i) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))) alpha)))) (fma.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))) (-.f64 (*.f64 i (+.f64 beta i)) (*.f64 (neg.f64 i) (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))))) (*.f64 (neg.f64 i) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i beta))))) alpha))) (*.f64 (neg.f64 i) (fma.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))))) alpha) (neg.f64 i)) alpha)) |
(* -1 (/ (+ (* -1 beta) (* -1 i)) alpha)) |
(neg.f64 (neg.f64 (/.f64 (+.f64 beta i) alpha))) |
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha)) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 i (/.f64 (-.f64 (*.f64 i (+.f64 beta i)) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (neg.f64 (fma.f64 #s(literal 2 binary64) i beta))))) alpha)) (neg.f64 beta)) alpha)) |
(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* i (+ beta i)) (+ (/ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) alpha) (/ (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))) alpha))) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha)) |
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(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (+ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))))) alpha)) (/ (* (+ beta (* 2 i)) (* (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) (- (+ beta (* 2 i)) 1))) alpha)) (+ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))))) alpha)) (* i (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha)) |
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alpha |
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
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(/ (* alpha i) (pow beta 2)) |
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alpha |
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(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)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 i i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)))))) alpha) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (/ (* (+ beta (* 2 i)) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1))))))) alpha)) (+ (* -1 (/ (* i (* (+ (* -2 (* (+ beta (* 2 i)) (- (pow (+ beta (* 2 i)) 2) 1))) (* -2 (pow (+ beta (* 2 i)) 3))) (+ (* -1 beta) (* -1 i)))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (/ (* (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)) alpha)))) (+ (* -4 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (- (+ (* 2 (pow (+ beta (* 2 i)) 2)) (* 4 (pow (+ beta (* 2 i)) 2))) 1)))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 4 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) (pow alpha 2)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (/.f64 (-.f64 (*.f64 (*.f64 i i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)))))) alpha)) (-.f64 (fma.f64 #s(literal -1 binary64) (*.f64 i (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 #s(literal 2 binary64) i beta) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (+.f64 beta i))) alpha)) (fma.f64 (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64)) alpha) (*.f64 (*.f64 i i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))))) (fma.f64 (*.f64 #s(literal -4 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) #s(literal 6 binary64) #s(literal -1 binary64))))))) alpha) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -4 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha))) (*.f64 alpha alpha)) |
(* -1 (* i (+ (* -1 beta) (* -1 i)))) |
(*.f64 (neg.f64 i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
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(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -2 (* (+ beta (* 2 i)) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))))) (* -1 (* i (* (pow (+ beta (* 2 i)) 2) (+ (* -1 beta) (* -1 i))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* 2 (* i (* (+ beta (* 2 i)) (+ (* -1 beta) (* -1 i)))))) alpha))) |
(*.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 i i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha))) |
(+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ beta (* 2 i)) (- (* (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))) |
(*.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) i beta) (/.f64 (-.f64 (*.f64 (*.f64 i i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha)) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (/.f64 (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) alpha) (*.f64 (*.f64 i i) (pow.f64 (+.f64 beta i) #s(literal 2 binary64)))) (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) i beta)) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 2 binary64)) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))))) alpha) (fma.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))) (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 i (fma.f64 #s(literal 2 binary64) i beta)) (*.f64 #s(literal -1 binary64) (+.f64 beta i)))))) alpha))) |
(* -1 (/ (* i (+ (* -1 beta) (* -1 i))) (pow alpha 2))) |
(/.f64 (*.f64 (neg.f64 i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
(/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 i (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (/.f64 (-.f64 (*.f64 i (fma.f64 (neg.f64 i) (+.f64 beta i) (*.f64 (+.f64 beta i) (*.f64 #s(literal -1 binary64) (+.f64 beta i))))) (*.f64 (neg.f64 i) (*.f64 (*.f64 #s(literal -1 binary64) (+.f64 beta i)) (fma.f64 #s(literal -1 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) (+.f64 i (fma.f64 #s(literal 2 binary64) i beta)) beta) #s(literal 1 binary64)) (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64))))))) alpha))) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
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(/ (+ (* -1 (* i (+ (* -1 beta) (* -1 i)))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (* (pow (+ beta (* 2 i)) 2) (- (+ beta (* 2 i)) 1))) (* (+ 1 (+ beta (* 2 i))) (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2))))))) alpha)) (+ (* (pow i 2) (pow (+ beta i) 2)) (+ (/ (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* (pow i 2) (pow (+ beta i) 2)) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))))))) alpha) (/ (* (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))) alpha)))) (+ (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ (* -2 (* (+ beta (* 2 i)) (- (+ beta (* 2 i)) 1))) (* -1 (pow (+ beta (* 2 i)) 2)))) (* (+ 1 (+ beta (* 2 i))) (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))) (* (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))) (- (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1)))))))))) alpha)) (* i (+ (* -1 (* i (+ beta i))) (* (+ beta i) (+ (* -1 beta) (* -1 i)))))) (* -1 (* i (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ 1 (+ beta (* 2 i)))) (* -1 (- (+ beta (+ (* 2 i) (* 2 (+ beta (* 2 i))))) 1))))))) alpha))) (pow alpha 2)) |
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(/ i alpha) |
(/.f64 i alpha) |
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i |
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alpha |
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(* 1/4 (/ alpha i)) |
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(* -1 (+ (* -1 beta) (* -1 i))) |
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(* -1 (/ (+ (* -1 beta) (+ (* -1 i) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (+ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))))) alpha)) (/ (* (+ beta (* 2 i)) (* (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) (- (+ beta (* 2 i)) 1))) alpha)) (+ (* (+ beta (* 2 i)) (* (+ (* -1 beta) (* -1 i)) (- (+ beta (* 2 i)) 1))) (* (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))) (- (* i (+ beta i)) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1)))))))) alpha)) (* i (+ beta i))) (* (+ (* -1 beta) (* -1 i)) (+ (* -1 (+ beta (* 2 i))) (* -1 (- (+ beta (* 2 i)) 1))))) alpha)))) alpha)) |
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(* i (+ (* i (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1)))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (* 2 (/ beta (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))) (+ (/ (* alpha (* beta (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))))) (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1)))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (+ (* 2 (/ beta (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (* i (- (/ 1 (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))) (+ (/ (* alpha (* beta (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))) (+ (/ (* (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (- (+ (* 2 (/ alpha (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (* 2 (/ beta (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))) (+ (/ (* alpha (* beta (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))))) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))) (/ (* (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))))))) (+ (/ (* alpha (* beta (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))))) (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1)))))) |
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(/ i (+ 1 (+ alpha beta))) |
(/.f64 i (+.f64 (+.f64 beta alpha) #s(literal 1 binary64))) |
(* i (+ (* -1 (* i (+ (* 2 (/ 1 (pow (+ 1 (+ alpha beta)) 2))) (/ 1 (* (+ 1 (+ alpha beta)) (+ alpha beta)))))) (/ 1 (+ 1 (+ alpha beta))))) |
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(* i (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta))) (+ (/ 1 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 2 (/ 1 (pow (+ 1 (+ alpha beta)) 2))))) (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (* 4 (/ 1 (* (pow (+ 1 (+ alpha beta)) 2) (+ alpha beta))))))) (+ (* 2 (/ 1 (pow (+ 1 (+ alpha beta)) 2))) (/ 1 (* (+ 1 (+ alpha beta)) (+ alpha beta)))))) (/ 1 (+ 1 (+ alpha beta))))) |
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(* i (+ (* i (- (* i (- (* -1 (* i (+ (* -4 (/ (+ (/ 1 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 2 (/ 1 (pow (+ 1 (+ alpha beta)) 2)))) (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta))) (+ (/ 1 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 2 (/ 1 (pow (+ 1 (+ alpha beta)) 2))))) (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (* 4 (/ 1 (* (pow (+ 1 (+ alpha beta)) 2) (+ alpha beta))))) (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 1 (+ alpha beta)) (+ alpha beta))))))) (+ (* -1 (/ (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta))) (+ (/ 1 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 2 (/ 1 (pow (+ 1 (+ alpha beta)) 2))))) (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (* 4 (/ 1 (* (pow (+ 1 (+ alpha beta)) 2) (+ alpha beta))))))) (+ (* 2 (/ 1 (pow (+ 1 (+ alpha beta)) 2))) (/ 1 (* (+ 1 (+ alpha beta)) (+ alpha beta)))))) (/ 1 (+ 1 (+ alpha beta))))) |
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i |
(* i (+ 1 (* -1 (/ i (+ alpha beta))))) |
(*.f64 i (fma.f64 #s(literal -1 binary64) (/.f64 i (+.f64 beta alpha)) #s(literal 1 binary64))) |
(* i (+ 1 (* i (- (* 2 (/ i (pow (+ alpha beta) 2))) (/ 1 (+ alpha beta)))))) |
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(* i (+ 1 (* i (- (* i (+ (* -4 (/ i (pow (+ alpha beta) 3))) (* 2 (/ 1 (pow (+ alpha beta) 2))))) (/ 1 (+ alpha beta)))))) |
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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)) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1)))) |
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(* i (+ (* i (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1)))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (* 2 (/ beta (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))) (+ (/ (* alpha (* beta (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))))) (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1)))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (+ (* 2 (/ beta (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (* i (- (/ 1 (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))) (+ (/ (* alpha (* beta (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))) (+ (/ (* (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (- (+ (* 2 (/ alpha (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (* 2 (/ beta (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))) (+ (/ (* alpha (* beta (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))))) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))) (/ (* (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))))))) (+ (/ (* alpha (* beta (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))))) (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1)))))) |
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(/ i (+ 1 (+ alpha beta))) |
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(* i (+ (* -1 (* i (+ (* 2 (/ 1 (pow (+ 1 (+ alpha beta)) 2))) (/ 1 (* (+ 1 (+ alpha beta)) (+ alpha beta)))))) (/ 1 (+ 1 (+ alpha beta))))) |
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(* i (+ (* i (- (* -1 (* i (+ (* -1 (/ (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta))) (+ (/ 1 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 2 (/ 1 (pow (+ 1 (+ alpha beta)) 2))))) (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (* 4 (/ 1 (* (pow (+ 1 (+ alpha beta)) 2) (+ alpha beta))))))) (+ (* 2 (/ 1 (pow (+ 1 (+ alpha beta)) 2))) (/ 1 (* (+ 1 (+ alpha beta)) (+ alpha beta)))))) (/ 1 (+ 1 (+ alpha beta))))) |
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(* i (+ (* i (- (* i (- (* -1 (* i (+ (* -4 (/ (+ (/ 1 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 2 (/ 1 (pow (+ 1 (+ alpha beta)) 2)))) (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (* -1 (/ (* (+ (* -1 (/ (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta))) (+ (/ 1 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 2 (/ 1 (pow (+ 1 (+ alpha beta)) 2))))) (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (* 4 (/ 1 (* (pow (+ 1 (+ alpha beta)) 2) (+ alpha beta))))) (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta)))) (* (+ 1 (+ alpha beta)) (+ alpha beta))))))) (+ (* -1 (/ (* (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta))) (+ (/ 1 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 2 (/ 1 (pow (+ 1 (+ alpha beta)) 2))))) (* (+ 1 (+ alpha beta)) (+ alpha beta)))) (* 4 (/ 1 (* (pow (+ 1 (+ alpha beta)) 2) (+ alpha beta))))))) (+ (* 2 (/ 1 (pow (+ 1 (+ alpha beta)) 2))) (/ 1 (* (+ 1 (+ alpha beta)) (+ alpha beta)))))) (/ 1 (+ 1 (+ alpha beta))))) |
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(/ i beta) |
(/.f64 i beta) |
(/ i beta) |
(/.f64 i beta) |
(/ i beta) |
(/.f64 i beta) |
(/ i beta) |
(/.f64 i beta) |
(/ (* alpha beta) (* (+ alpha beta) (- (+ alpha beta) 1))) |
(*.f64 (/.f64 alpha (+.f64 beta alpha)) (/.f64 beta (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)))) |
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(+ (* i (- (+ (* i (- (/ 1 (* (+ alpha beta) (- (+ alpha beta) 1))) (+ (* 4 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (/ 1 (- (+ alpha beta) 1)) (/ (* alpha (* beta (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2))))) (* (+ alpha beta) (- (+ alpha beta) 1)))))) (/ 1 (- (+ alpha beta) 1))) (/ (* alpha (* beta (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (+ alpha beta) 1)))) |
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(+ (* i (- (+ (* i (- (+ (* -1 (* i (+ (* 4 (/ (- (/ 1 (- (+ alpha beta) 1)) (/ (* alpha (* beta (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2)))) (* (+ alpha beta) (- (+ alpha beta) 1)))) (/ (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (/ 1 (* (+ alpha beta) (- (+ alpha beta) 1))) (+ (* 4 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (/ 1 (- (+ alpha beta) 1)) (/ (* alpha (* beta (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2))))) (* (+ alpha beta) (- (+ alpha beta) 1)))))) (* (+ alpha beta) (- (+ alpha beta) 1)))))) (/ 1 (* (+ alpha beta) (- (+ alpha beta) 1)))) (+ (* 4 (/ (* alpha beta) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (/ 1 (- (+ alpha beta) 1)) (/ (* alpha (* beta (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2))))) (* (+ alpha beta) (- (+ alpha beta) 1)))))) (/ 1 (- (+ alpha beta) 1))) (/ (* alpha (* beta (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (* (pow (+ alpha beta) 2) (pow (- (+ alpha beta) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (+ alpha beta) 1)))) |
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alpha |
(+ alpha i) |
(+.f64 alpha i) |
(+ alpha i) |
(+.f64 alpha i) |
(+ alpha i) |
(+.f64 alpha i) |
(/ (* alpha (* beta i)) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) |
(/.f64 (*.f64 alpha (*.f64 beta i)) (*.f64 (+.f64 beta alpha) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(* i (+ (* i (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (* 2 (/ beta (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (+ (/ (* alpha (* beta (+ (* 4 (- (pow (+ alpha beta) 2) 1)) (+ (* 4 (pow (+ alpha beta) 2)) (* 16 (pow (+ alpha beta) 2)))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))) (/ (* (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))) (- (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1)))))) (+ (/ 1 (- (pow (+ alpha beta) 2) 1)) (/ (* alpha beta) (* (pow (+ alpha beta) 2) (- (pow (+ alpha beta) 2) 1))))) (/ (* alpha (* beta (+ (* 4 (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))) (* 4 (pow (+ alpha beta) 3))))) (* (pow (+ alpha beta) 3) (pow (- (pow (+ alpha beta) 2) 1) 2))))) (/ (* alpha beta) (* (+ alpha beta) (- (pow (+ alpha beta) 2) 1))))) |
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alpha |
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(- (pow (+ alpha beta) 2) 1) |
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(- (+ (* 4 (* i (+ alpha beta))) (pow (+ alpha beta) 2)) 1) |
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(+ alpha (+ beta (* 2 i))) |
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(+ alpha (+ beta (* 2 i))) |
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(/ (* alpha (* beta i)) (+ alpha beta)) |
(/.f64 (*.f64 alpha (*.f64 beta i)) (+.f64 beta alpha)) |
(* i (+ (* i (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
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(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
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(* i (+ (* i (- (+ 1 (+ (* i (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (+ (* 2 (/ beta (pow (+ alpha beta) 2))) (* i (- (/ 1 (pow (+ alpha beta) 2)) (+ (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (pow (+ alpha beta) 2))) (* 4 (/ (- (+ (* 2 (/ alpha (pow (+ alpha beta) 2))) (* 2 (/ beta (pow (+ alpha beta) 2)))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta))))) (+ alpha beta)))))))) (+ (* 4 (/ (* alpha beta) (pow (+ alpha beta) 3))) (* 4 (/ (- (+ 1 (/ (* alpha beta) (pow (+ alpha beta) 2))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2)))) (+ alpha beta)))))) (/ (* alpha beta) (pow (+ alpha beta) 2)))) (* 4 (/ (* alpha beta) (pow (+ alpha beta) 2))))) (/ (* alpha beta) (+ alpha beta)))) |
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(/ (* alpha (* beta i)) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1)))) |
(/.f64 (*.f64 alpha (*.f64 beta i)) (*.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) (*.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 1 binary64))))) |
(* i (+ (* i (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1)))))) |
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(* i (+ (* i (- (+ (* i (- (+ (* 2 (/ alpha (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (* 2 (/ beta (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))) (+ (/ (* alpha (* beta (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))) (/ (* (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))) (- (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))))))) (+ (/ 1 (* (+ 1 (+ alpha beta)) (- (+ alpha beta) 1))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1)))))) (/ (* alpha (* beta (+ (* 2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1)))))))) (* (pow (+ 1 (+ alpha beta)) 2) (* (pow (+ alpha beta) 3) (pow (- (+ alpha beta) 1) 2)))))) (/ (* alpha beta) (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (+ alpha beta) 1)))))) |
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1/16 |
#s(literal 1/16 binary64) |
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1/4 |
#s(literal 1/4 binary64) |
(- (+ 1/4 (* 1/4 (/ (+ alpha beta) i))) (* 1/16 (/ (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta))) 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 i (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 beta alpha) #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)))) |
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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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i |
(* i (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 i (+.f64 (+.f64 (/.f64 alpha i) #s(literal 1 binary64)) (/.f64 beta i))) |
(* i (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 i (+.f64 (+.f64 (/.f64 alpha i) #s(literal 1 binary64)) (/.f64 beta i))) |
(* i (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 i (+.f64 (+.f64 (/.f64 alpha i) #s(literal 1 binary64)) (/.f64 beta i))) |
1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/256 (/ (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) i))) |
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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 (/ (+ (* 2 (+ (* 2 (pow (+ alpha beta) 2)) (* 4 (* (+ alpha beta) (- (+ alpha beta) 1))))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (pow i 2))) (+ (* 1/256 (/ (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) i)) (* 1/16 (/ (* (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta)))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* 1/256 (+ (* 2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))) (* 8 (+ 1 (+ alpha beta))))))) (pow i 2)))))) |
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1/4 |
#s(literal 1/4 binary64) |
(- (+ 1/4 (* 1/4 (/ (+ alpha beta) i))) (* 1/16 (/ (+ (* 2 (+ 1 (+ alpha beta))) (* 2 (+ alpha beta))) i))) |
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(/ i beta) |
(/.f64 i beta) |
(/ i beta) |
(/.f64 i beta) |
(/ i beta) |
(/.f64 i beta) |
(/ i beta) |
(/.f64 i beta) |
1/4 |
#s(literal 1/4 binary64) |
(- (+ 1/4 (* 1/4 (/ (+ alpha beta) i))) (* 1/16 (/ (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) i))) |
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i |
(* i (+ 1 (/ alpha i))) |
(*.f64 i (+.f64 (/.f64 alpha i) #s(literal 1 binary64))) |
(* i (+ 1 (/ alpha i))) |
(*.f64 i (+.f64 (/.f64 alpha i) #s(literal 1 binary64))) |
(* i (+ 1 (/ alpha i))) |
(*.f64 i (+.f64 (/.f64 alpha i) #s(literal 1 binary64))) |
1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* 1/8 (/ (+ alpha beta) i))) |
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(/.f64 (*.f64 i i) (*.f64 beta beta)) |
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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) |
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1/4 |
#s(literal 1/4 binary64) |
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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 i (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 beta alpha) #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)))) |
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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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i |
(* i (+ 1 (+ (/ alpha i) (/ beta i)))) |
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(* i (+ 1 (+ (/ alpha i) (/ beta i)))) |
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(* i (+ 1 (+ (/ alpha i) (/ beta i)))) |
(*.f64 i (+.f64 (+.f64 (/.f64 alpha i) #s(literal 1 binary64)) (/.f64 beta i))) |
(/ (pow beta 2) i) |
(/.f64 (*.f64 beta beta) i) |
(/ (pow beta 2) i) |
(/.f64 (*.f64 beta beta) i) |
(/ (pow beta 2) i) |
(/.f64 (*.f64 beta beta) i) |
(/ (pow beta 2) i) |
(/.f64 (*.f64 beta beta) i) |
1/4 |
#s(literal 1/4 binary64) |
(+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i))) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha) beta) i) #s(literal 1/4 binary64)) |
(+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i))) |
(fma.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (-.f64 (*.f64 #s(literal 2 binary64) (+.f64 beta alpha)) alpha) beta) i) #s(literal 1/4 binary64)) |
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(* 1/4 (pow i 2)) |
(*.f64 #s(literal 1/4 binary64) (*.f64 i i)) |
(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
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(* (pow i 2) (+ 1/4 (* 1/4 (/ (- (* 2 (+ alpha beta)) (+ alpha beta)) i)))) |
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(* 1/2 i) |
(*.f64 #s(literal 1/2 binary64) i) |
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(*.f64 i (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 beta alpha) #s(literal 1/4 binary64)) i))) |
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1/4 |
#s(literal 1/4 binary64) |
(- (+ 1/4 (* 1/4 (/ (+ alpha beta) i))) (* 1/16 (/ (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) i))) |
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(- (+ 1/4 (+ (* -1 (/ (+ (* 1/4 (* (+ alpha beta) (* (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))))) (- (+ alpha beta) 1)))) (* 1/4 (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 (* alpha beta)) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1)))))))))))) (pow i 3))) (+ (* 1/4 (/ (* alpha beta) (pow i 2))) (* 1/4 (/ (+ alpha beta) i))))) (+ (* 1/16 (/ (* (+ alpha beta) (- (+ alpha beta) 1)) (pow i 2))) (+ (* 1/16 (/ (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) i)) (* 1/4 (/ (* (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1))) (- (* 1/4 (+ alpha beta)) (* 1/16 (+ (* 2 (+ alpha beta)) (* 2 (- (+ alpha beta) 1)))))) (pow i 2)))))) |
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1/16 |
#s(literal 1/16 binary64) |
(- (+ 1/16 (* 1/16 (/ (+ (* 2 alpha) (* 2 beta)) i))) (* -1/256 (/ (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) i))) |
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(+ 1/16 (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) (* 1/16 (/ (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2))) i))) (+ (* -1/256 (/ (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) i)) (* 1/16 (/ (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) i)))) i))) |
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(+ 1/16 (* -1 (/ (+ (* -1 (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) (* -1 (/ (- (+ (* -1 (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/256 (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))) (* 1/16 (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))))))) (* 1/16 (/ (* alpha (* beta (+ alpha beta))) i))) (+ (* -1/256 (/ (+ (* -2 (* (pow (+ alpha beta) 2) (- (+ alpha beta) 1))) (* (+ 1 (+ alpha beta)) (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2))))) i)) (+ (* 1/16 (/ (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* -1 (* alpha beta)) (* -1 (pow (+ alpha beta) 2)))) (+ (* -1/256 (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))) (* 1/16 (* (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))))))) i)) (* 1/16 (/ (* (+ (* -2 (+ (* -4 (* (+ alpha beta) (- (+ alpha beta) 1))) (* -2 (pow (+ alpha beta) 2)))) (* (+ 1 (+ alpha beta)) (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta))))) (- (* 1/16 (+ (* 2 alpha) (* 2 beta))) (* -1/256 (+ (* -8 (+ 1 (+ alpha beta))) (* -2 (+ (* 4 (- (+ alpha beta) 1)) (* 8 (+ alpha beta)))))))) i))))) i))) i))) |
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1/4 |
#s(literal 1/4 binary64) |
(- (+ 1/4 (* 1/4 (/ (+ alpha beta) i))) (* -1/16 (/ (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))) i))) |
(-.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 beta alpha) i) #s(literal 1/4 binary64)) (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) (+.f64 beta alpha))) i))) |
(+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta)))))) (* -1 (/ (+ (* -1/16 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 1/4 (* (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))) (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta)))))))) i))) i))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (fma.f64 #s(literal 1/4 binary64) (+.f64 beta alpha) (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) (+.f64 beta alpha))))) (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) (+.f64 beta alpha)))) (fma.f64 #s(literal 1/4 binary64) (+.f64 beta alpha) (*.f64 #s(literal 1/16 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)) (+.f64 beta alpha))))) (*.f64 (*.f64 #s(literal -1/16 binary64) (+.f64 (+.f64 beta alpha) #s(literal 1 binary64))) (+.f64 beta alpha))) i))) i) #s(literal 1/4 binary64)) |
(+ 1/4 (* -1 (/ (+ (* -1 (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (* (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))) (+ (* -1/16 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 1/4 (* (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))) (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta)))))))))) (* 1/4 (* (+ 1 (+ alpha beta)) (* (+ alpha beta) (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))))))))) i)) (+ (* -1/16 (* (+ 1 (+ alpha beta)) (+ alpha beta))) (* 1/4 (* (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))) (- (* 1/4 (+ alpha beta)) (* -1/16 (+ (* -2 (+ 1 (+ alpha beta))) (* -2 (+ alpha beta))))))))) 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)))))) |
(*.f64 (neg.f64 i) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 beta alpha) i)) (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) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (*.f64 (+.f64 beta alpha) #s(literal -1/4 binary64)) i)) (neg.f64 (*.f64 (+.f64 beta alpha) #s(literal -1/4 binary64)))) 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) (fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (+.f64 beta alpha) #s(literal -1/4 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) #s(literal -1/4 binary64))) (*.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 beta alpha) #s(literal -1/4 binary64)) i)))) i))) i) #s(literal -1/2 binary64))) |
i |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 1))) |
(*.f64 (neg.f64 i) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta alpha) i) #s(literal -1 binary64))) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 1))) |
(*.f64 (neg.f64 i) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta alpha) i) #s(literal -1 binary64))) |
(* -1 (* i (- (* -1 (/ (+ alpha beta) i)) 1))) |
(*.f64 (neg.f64 i) (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta alpha) i) #s(literal -1 binary64))) |
1/16 |
#s(literal 1/16 binary64) |
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#s(literal 1/4 binary64) |
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1/4 |
#s(literal 1/4 binary64) |
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#s(literal 1/16 binary64) |
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1/4 |
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(+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (* alpha beta)) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))))))) i)) (* -1/4 (+ alpha beta))) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) i))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 alpha beta)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 1 binary64))))) (fma.f64 #s(literal -1/4 binary64) (+.f64 beta alpha) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)))))) (*.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 beta alpha)) (-.f64 (+.f64 beta alpha) #s(literal 1 binary64))))) i) (fma.f64 #s(literal -1/4 binary64) (+.f64 beta alpha) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 1 binary64))))))) i) #s(literal 1/4 binary64)) |
(+ 1/4 (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/4 (* alpha beta)) (+ (* 1/4 (/ (* (+ alpha beta) (* (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) (- (+ alpha beta) 1))) i)) (* 1/4 (/ (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* 1/4 (* alpha beta)) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1)))))))))) i)))) (+ (* 1/16 (* (+ alpha beta) (- (+ alpha beta) 1))) (* 1/4 (* (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))) (- (* -1/4 (+ alpha beta)) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))))))) i)) (* -1/4 (+ alpha beta))) (* 1/16 (+ (* -2 (+ alpha beta)) (* -2 (- (+ alpha beta) 1))))) i))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (fma.f64 (+.f64 beta alpha) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) (+.f64 beta alpha) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)))))) (-.f64 (+.f64 beta alpha) #s(literal 1 binary64))) i) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)))) (/.f64 (-.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 alpha beta)) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 1 binary64))))) (fma.f64 #s(literal -1/4 binary64) (+.f64 beta alpha) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)))))) (*.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 beta alpha)) (-.f64 (+.f64 beta alpha) #s(literal 1 binary64))))) i))) (*.f64 #s(literal 1/4 binary64) (*.f64 alpha beta))) (fma.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 1 binary64))))) (fma.f64 #s(literal -1/4 binary64) (+.f64 beta alpha) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 1 binary64)))))) (*.f64 (*.f64 #s(literal 1/16 binary64) (+.f64 beta alpha)) (-.f64 (+.f64 beta alpha) #s(literal 1 binary64))))) i) (fma.f64 #s(literal -1/4 binary64) (+.f64 beta alpha) (*.f64 #s(literal -1/16 binary64) (*.f64 #s(literal -2 binary64) (+.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 1 binary64))))))) i) #s(literal 1/4 binary64)) |
| 4 890× | lower-/.f32 |
| 4 874× | lower-/.f64 |
| 3 898× | lower-*.f32 |
| 3 876× | lower-*.f64 |
| 3 276× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 664 |
| 0 | 106 | 608 |
| 1 | 478 | 604 |
| 2 | 4533 | 604 |
| 0 | 8684 | 591 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
(/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
#s(approx (+ (+ alpha beta) i) (+.f64 beta i)) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
#s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) |
(/.f64 i beta) |
#s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) |
(*.f64 (+.f64 alpha i) #s(literal 1 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (+.f64 alpha i) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta i)))) |
(/.f64 (*.f64 (+.f64 alpha i) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta 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 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
#s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) |
(*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) |
(+.f64 (+.f64 alpha beta) i) |
(*.f64 beta (/.f64 beta i)) |
#s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) |
(*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i)) |
#s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) |
(/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta)))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(*.f64 (/.f64 (*.f64 #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta)))) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (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 1 binary64))) |
(*.f64 (*.f64 #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) #s(approx (+ (+ alpha beta) i) (+.f64 i beta))) (/.f64 (/.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 #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta)))) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(literal -1 binary64))) |
(*.f64 #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) (/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(*.f64 (/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
(*.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta))) (/.f64 #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(*.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta))) (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(literal -1 binary64)) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)))) |
(*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 i beta)) (*.f64 (/.f64 (/.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)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)))) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta))))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (neg.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta))))) |
(/.f64 (*.f64 #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) (*.f64 (neg.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta)))) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta))))) |
(/.f64 (neg.f64 (*.f64 #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta))))) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(/.f64 #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta)))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 i beta)) i)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta))) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(*.f64 (/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta))) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (-.f64 (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 1 binary64))) |
(*.f64 (/.f64 (/.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)))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(literal -1 binary64)) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta)))) |
(*.f64 (*.f64 (neg.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta))) (pow.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(*.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta))) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(literal -1 binary64))) |
(*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (/.f64 #s(approx (+ (+ alpha beta) i) (+.f64 i beta)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 i beta)) (pow.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(literal -1 binary64)))) |
(*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 i beta)) (/.f64 (/.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))))) |
(pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 i beta)) i) (pow.f64 (+.f64 #s(literal 1 binary64) (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 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta)))) (neg.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64)))) |
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(/.f64 (neg.f64 (*.f64 (+.f64 (+.f64 i alpha) beta) i)) (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (-.f64 (+.f64 beta alpha) i)) |
(/.f64 (*.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (fma.f64 i (-.f64 i (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 i) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i))) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (-.f64 (+.f64 beta alpha) i))) |
(/.f64 (*.f64 (neg.f64 i) (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (*.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (fma.f64 i (-.f64 i (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i))) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) i) (-.f64 (+.f64 beta alpha) i))) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (*.f64 (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) i) (fma.f64 i (-.f64 i (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) |
(/.f64 (*.f64 i (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i))) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (-.f64 (+.f64 beta alpha) i))) |
(/.f64 (*.f64 i (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (*.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 i (-.f64 i (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i)) (neg.f64 i)) (*.f64 (-.f64 (+.f64 beta alpha) i) (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 beta alpha) i) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) i))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i)) i) (*.f64 (-.f64 (+.f64 beta alpha) i) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (neg.f64 i)) (*.f64 (fma.f64 i (-.f64 i (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 i (-.f64 i (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) i))) |
(/.f64 (*.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) i) (*.f64 (fma.f64 i (-.f64 i (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(/.f64 (*.f64 (+.f64 (+.f64 i alpha) beta) i) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (*.f64 (+.f64 (+.f64 i alpha) beta) i))) |
(/.f64 (+.f64 (+.f64 i alpha) beta) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) i)) |
(fma.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 beta alpha) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) i)) |
(fma.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) i (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 beta alpha))) |
(fma.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) alpha (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 i beta))) |
(fma.f64 (+.f64 beta alpha) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(fma.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 (+.f64 beta alpha) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(fma.f64 alpha (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (*.f64 (+.f64 i beta) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 (+.f64 beta alpha) i)) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) i)) (/.f64 (/.f64 (*.f64 i i) (-.f64 (+.f64 beta alpha) i)) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) i))) |
(+.f64 (*.f64 (+.f64 beta alpha) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(+.f64 (*.f64 i (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (*.f64 (+.f64 beta alpha) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(+.f64 (*.f64 alpha (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (*.f64 (+.f64 i beta) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(+.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 beta alpha)) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) i)) |
(+.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) i) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 beta alpha))) |
(+.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) alpha) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 i beta))) |
(*.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i)) (pow.f64 (-.f64 (+.f64 beta alpha) i) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (pow.f64 (fma.f64 i (-.f64 i (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (-.f64 (+.f64 beta alpha) i) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 i (-.f64 i (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 i i) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (-.f64 i (+.f64 beta alpha))) |
(/.f64 (-.f64 (*.f64 alpha alpha) (pow.f64 (+.f64 i beta) #s(literal 2 binary64))) (-.f64 alpha (+.f64 i beta))) |
(/.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 (+.f64 i beta) #s(literal 3 binary64))) (fma.f64 alpha alpha (-.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (*.f64 alpha (+.f64 i beta))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i))) (neg.f64 (-.f64 (+.f64 beta alpha) i))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64)))) (neg.f64 (fma.f64 i (-.f64 i (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i)) (-.f64 (+.f64 beta alpha) i)) |
(/.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (fma.f64 i i (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 (+.f64 beta alpha) i)))) |
(/.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))) (fma.f64 i (-.f64 i (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 beta alpha) i) (-.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (*.f64 i i)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 i (-.f64 i (+.f64 beta alpha)) (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64))) (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 (+.f64 beta alpha) #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (+.f64 i beta) (-.f64 beta i)) (pow.f64 (-.f64 beta i) #s(literal -1 binary64)) alpha) |
(fma.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (pow.f64 (-.f64 alpha beta) #s(literal -1 binary64)) i) |
(fma.f64 (*.f64 (+.f64 i alpha) (-.f64 alpha i)) (pow.f64 (-.f64 alpha i) #s(literal -1 binary64)) beta) |
(fma.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (pow.f64 (-.f64 beta alpha) #s(literal -1 binary64)) i) |
(fma.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (pow.f64 (fma.f64 i (-.f64 i beta) (*.f64 beta beta)) #s(literal -1 binary64)) alpha) |
(fma.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (pow.f64 (fma.f64 beta (-.f64 beta alpha) (*.f64 alpha alpha)) #s(literal -1 binary64)) i) |
(fma.f64 (+.f64 (pow.f64 alpha #s(literal 3 binary64)) (pow.f64 beta #s(literal 3 binary64))) (pow.f64 (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)) #s(literal -1 binary64)) i) |
(fma.f64 (+.f64 (pow.f64 i #s(literal 3 binary64)) (pow.f64 alpha #s(literal 3 binary64))) (pow.f64 (fma.f64 i (-.f64 i alpha) (*.f64 alpha alpha)) #s(literal -1 binary64)) beta) |
(fma.f64 (+.f64 i alpha) #s(literal 1 binary64) beta) |
(fma.f64 #s(literal 1 binary64) (+.f64 i alpha) beta) |
(-.f64 (/.f64 (*.f64 i i) (-.f64 i (+.f64 beta alpha))) (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 i (+.f64 beta alpha)))) |
(-.f64 (/.f64 (*.f64 alpha alpha) (-.f64 alpha (+.f64 i beta))) (/.f64 (pow.f64 (+.f64 i beta) #s(literal 2 binary64)) (-.f64 alpha (+.f64 i beta)))) |
(-.f64 (/.f64 (pow.f64 (+.f64 beta alpha) #s(literal 2 binary64)) (-.f64 (+.f64 beta alpha) i)) (/.f64 (*.f64 i i) (-.f64 (+.f64 beta alpha) i))) |
(+.f64 (+.f64 i alpha) beta) |
(+.f64 (+.f64 beta alpha) i) |
(+.f64 (+.f64 i beta) alpha) |
(+.f64 i (+.f64 beta alpha)) |
(+.f64 beta (+.f64 i alpha)) |
(+.f64 alpha (+.f64 i beta)) |
(*.f64 (*.f64 beta beta) (pow.f64 i #s(literal -1 binary64))) |
(*.f64 (/.f64 beta i) beta) |
(*.f64 beta (/.f64 beta i)) |
(pow.f64 (/.f64 i (*.f64 beta beta)) #s(literal -1 binary64)) |
(/.f64 (*.f64 beta #s(literal 1 binary64)) (/.f64 i beta)) |
(/.f64 (*.f64 #s(literal 1 binary64) beta) (/.f64 i beta)) |
(/.f64 (*.f64 (neg.f64 beta) beta) (neg.f64 i)) |
(/.f64 (neg.f64 (*.f64 beta beta)) (neg.f64 i)) |
(/.f64 (*.f64 beta (neg.f64 beta)) (neg.f64 i)) |
(/.f64 (*.f64 beta beta) i) |
(/.f64 #s(literal 1 binary64) (/.f64 i (*.f64 beta beta))) |
(/.f64 beta (/.f64 i beta)) |
#s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) |
(*.f64 (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) i) i) |
(*.f64 (*.f64 i i) #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64))) |
(*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i)) |
(*.f64 i (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) i)) |
#s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)) |
(*.f64 (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) |
(*.f64 (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 2 binary64)) #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 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha))) |
(*.f64 (neg.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha))) (pow.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)) (pow.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)))) (neg.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)))) |
(/.f64 (*.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)) #s(literal 1 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha))))) |
(/.f64 (neg.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha))) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)))) |
(neg.f64 (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)) (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64)) #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)))) #s(literal -1 binary64))) |
Compiled 99 747 to 5 167 computations (94.8% saved)
41 alts after pruning (38 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 539 | 17 | 1 556 |
| Fresh | 12 | 21 | 33 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 555 | 41 | 1 596 |
| Status | Accuracy | Program |
|---|---|---|
| 29.8% | (/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 alpha i))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) | |
| 23.1% | (/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i #s(approx (+ (+ alpha i) (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta)) (+.f64 i (/.f64 (*.f64 i (*.f64 i #s(literal -2 binary64))) beta))))) (+.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))) | |
| 20.1% | (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (/.f64 (*.f64 (+.f64 (+.f64 beta alpha) i) i) (neg.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) (*.f64 (*.f64 (-.f64 (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 -1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64)))) | |
| 46.3% | (/.f64 (*.f64 (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 i alpha)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 (+.f64 i alpha) beta))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) | |
| 39.5% | (/.f64 (*.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 (+.f64 beta alpha) i)) #s(literal 1 binary64)) (*.f64 (+.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 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))) | |
| 65.4% | (/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (*.f64 #s(literal 1/8 binary64) i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) | |
| 36.5% | (/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (neg.f64 (*.f64 i (neg.f64 (/.f64 (+.f64 alpha i) beta))))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) | |
| 19.1% | (/.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 #s(approx (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (neg.f64 (/.f64 (*.f64 alpha alpha) beta)))))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| 19.4% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 (+.f64 alpha i) i)) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) | |
| 33.0% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (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))) | |
| 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(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (*.f64 alpha alpha))) | |
| 15.9% | (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) #s(approx (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (fma.f64 i (*.f64 (/.f64 (*.f64 i i) beta) #s(literal -2 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))) | |
| 46.5% | (*.f64 (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) | |
| 40.7% | (*.f64 (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (/.f64 (*.f64 i (+.f64 beta i)) (fma.f64 #s(literal 2 binary64) i beta)) (-.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64))))) | |
| 35.0% | (*.f64 (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (-.f64 (+.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) i) alpha) (*.f64 (+.f64 alpha i) (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) beta))) beta))) | |
| 37.6% | (*.f64 (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta alpha)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) | |
| 41.0% | (*.f64 (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 alpha beta)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (+.f64 alpha i) beta))) | |
| 63.6% | (*.f64 (/.f64 #s(approx (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (*.f64 (neg.f64 i) (fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta alpha) (/.f64 (*.f64 (+.f64 beta alpha) #s(literal -1/4 binary64)) i)) (neg.f64 (*.f64 (+.f64 beta alpha) #s(literal -1/4 binary64)))) i) #s(literal -1/2 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) | |
| 35.4% | (*.f64 (/.f64 #s(approx (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (*.f64 i (fma.f64 #s(literal -1 binary64) (/.f64 i (+.f64 beta alpha)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) | |
| 34.8% | (*.f64 (/.f64 #s(approx (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (*.f64 i (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 i) (+.f64 alpha beta))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (+.f64 alpha i) beta))) | |
| 65.4% | (*.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta))) (/.f64 #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) | |
| 15.6% | (*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 (*.f64 i (+.f64 beta i)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) | |
| 27.8% | (*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 (*.f64 i (+.f64 beta i)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) | |
| 37.7% | (*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) | |
| 36.3% | (*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (+.f64 alpha i) beta))) | |
| 36.7% | (*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) | |
| ✓ | 5.2% | (*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
| 15.8% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (fma.f64 (+.f64 alpha i) i (*.f64 i (-.f64 (/.f64 (*.f64 (+.f64 alpha i) (+.f64 (+.f64 alpha i) i)) beta) (/.f64 (*.f64 (fma.f64 #s(literal 8 binary64) i (*.f64 #s(literal 4 binary64) alpha)) (+.f64 alpha i)) beta)))) (*.f64 beta beta))) | |
| 36.5% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 i beta) (/.f64 beta (+.f64 i alpha)))) | |
| 25.8% | #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 alpha) (*.f64 (/.f64 beta i) beta))) | |
| 36.5% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) beta)) | |
| 26.7% | #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 (neg.f64 (+.f64 i alpha)) i) (/.f64 #s(literal -1 binary64) beta)) beta)) | |
| 28.4% | #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 alpha) beta) beta) i)) | |
| 18.1% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 i alpha) (*.f64 beta beta)) i)) | |
| 32.8% | #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) beta) (/.f64 i beta)) (/.f64 i beta))) | |
| 15.5% | #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(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))) | |
| 34.6% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 i (*.f64 alpha beta))))) (/.f64 i beta))) | |
| 17.3% | #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(approx (/ (* (/ i beta) (neg (+ alpha i))) (neg beta)) (/.f64 (*.f64 i i) (*.f64 beta beta)))) | |
| 15.5% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (/.f64 (*.f64 (/.f64 i beta) alpha) beta))) | |
| ✓ | 11.8% | #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
| ✓ | 65.3% | #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 3 048 to 983 computations (67.7% 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)) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (/.f64 (*.f64 i 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 (/ (* (/ i beta) (neg (+ alpha i))) (neg beta)) (/.f64 (*.f64 i i) (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 i 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 (/.f64 (+.f64 i alpha) (*.f64 beta beta)) i)) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) #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) beta) (/ i beta)) (/.f64 (*.f64 (/.f64 i beta) alpha) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))) |
(/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (*.f64 #s(literal 1/8 binary64) i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 (/.f64 i beta) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (/.f64 (+.f64 i alpha) beta) beta) i)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (+.f64 i alpha) (*.f64 (/.f64 beta i) beta))) |
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(/.f64 (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))))) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) |
(/.f64 (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (/.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) (*.f64 (+.f64 (+.f64 alpha beta) i) i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) (+.f64 (+.f64 beta alpha) i)) #s(literal 1 binary64)) (*.f64 (+.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 (+.f64 (+.f64 beta alpha) i) i (*.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))))) |
(*.f64 (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (-.f64 (+.f64 (fma.f64 i (/.f64 (+.f64 alpha i) beta) i) alpha) (*.f64 (+.f64 alpha i) (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) i (*.f64 #s(literal 2 binary64) alpha)) #s(literal 1 binary64)) beta))) beta))) |
(*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (-.f64 (+.f64 alpha (+.f64 i (*.f64 i (/.f64 (+.f64 alpha i) beta)))) (*.f64 (+.f64 alpha i) (/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) alpha (*.f64 #s(literal 4 binary64) i)) #s(literal 1 binary64)) beta))) beta))) |
(*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (-.f64 (+.f64 alpha (+.f64 i (*.f64 i (/.f64 (+.f64 alpha i) beta)))) (*.f64 (+.f64 alpha i) (/.f64 (+.f64 alpha (*.f64 #s(literal 2 binary64) i)) beta)))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) i) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal -2 binary64)) (*.f64 (*.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) i) (+.f64 (+.f64 alpha beta) i))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha 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)) #s(literal 1/16 binary64)) |
(*.f64 (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) |
4 calls:
| 39.0ms | alpha |
| 21.0ms | i |
| 20.0ms | beta |
| 17.0ms | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.1% | 2 | alpha |
| 90.1% | 2 | beta |
| 81.1% | 2 | i |
| 72.7% | 2 | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
Compiled 56 to 26 computations (53.6% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (/.f64 (*.f64 i 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 (/ (* (/ i beta) (neg (+ alpha i))) (neg beta)) (/.f64 (*.f64 i i) (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 i 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 (/.f64 (+.f64 i alpha) (*.f64 beta beta)) i)) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) #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) beta) (/ i beta)) (/.f64 (*.f64 (/.f64 i beta) alpha) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))) |
(/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (*.f64 #s(literal 1/8 binary64) i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 (/.f64 i beta) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (/.f64 (+.f64 i alpha) beta) beta) i)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (+.f64 i alpha) (*.f64 (/.f64 beta i) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) (neg.f64 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) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta i)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 i beta) (/.f64 beta (+.f64 alpha i)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 i beta) (/.f64 beta (+.f64 i alpha)))) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.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 (*.f64 (neg.f64 (+.f64 i alpha)) i) (/.f64 #s(literal -1 binary64) beta)) beta)) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (/.f64 (*.f64 i (+.f64 alpha i)) beta)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 (*.f64 i (+.f64 beta i)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) |
(/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (neg.f64 (*.f64 i (neg.f64 (/.f64 (+.f64 alpha i) beta))))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 (*.f64 i (+.f64 beta i)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 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))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 i (*.f64 alpha beta))))) (/.f64 i beta))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 alpha i))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta))) (/.f64 #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(*.f64 (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 (*.f64 i (/.f64 (+.f64 i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) #s(literal 1/4 binary64)) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (*.f64 i (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 i) (+.f64 alpha beta))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (+.f64 alpha i) beta))) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 (*.f64 i (+.f64 beta i)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 alpha beta)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (+.f64 alpha i) beta))) |
(*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.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 (+ (* (+ alpha i) i) (* i (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)))) (fma.f64 i (*.f64 (/.f64 (*.f64 i i) beta) #s(literal -2 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)))) (fma.f64 (+.f64 alpha i) i (*.f64 i #s(approx (- (/ (* (+ alpha i) (+ (+ alpha i) i)) beta) (/ (* (+ (* 4 i) (* 2 alpha)) (+ alpha i)) beta)) (neg.f64 (/.f64 (*.f64 alpha alpha) beta)))))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i #s(approx (+ (+ alpha i) (/ (* (+ alpha i) (- (+ (* 2 i) alpha) (+ (* 4 i) (* 2 alpha)))) beta)) (+.f64 i (/.f64 (*.f64 i (*.f64 i #s(literal -2 binary64))) beta))))) (+.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 #s(approx (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (*.f64 i (fma.f64 #s(literal -1 binary64) (/.f64 i (+.f64 beta alpha)) #s(literal 1 binary64)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)))) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta alpha)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha 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)) #s(literal 1/16 binary64)) |
(*.f64 (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 alpha beta)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (+.f64 alpha i) beta))) |
1 calls:
| 18.0ms | beta |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.7% | 2 | beta |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (/.f64 (*.f64 i 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 (/ (* (/ i beta) (neg (+ alpha i))) (neg beta)) (/.f64 (*.f64 i i) (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 i 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 (/.f64 (+.f64 i alpha) (*.f64 beta beta)) i)) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) #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) beta) (/ i beta)) (/.f64 (*.f64 (/.f64 i beta) alpha) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))) |
(/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (*.f64 #s(literal 1/8 binary64) i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 (/.f64 i beta) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (/.f64 (+.f64 i alpha) beta) beta) i)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (+.f64 i alpha) (*.f64 (/.f64 beta i) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) (neg.f64 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) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta i)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 i beta) (/.f64 beta (+.f64 alpha i)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 i beta) (/.f64 beta (+.f64 i alpha)))) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.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 (*.f64 (neg.f64 (+.f64 i alpha)) i) (/.f64 #s(literal -1 binary64) beta)) beta)) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (/.f64 (*.f64 i (+.f64 alpha i)) beta)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 (*.f64 i (+.f64 beta i)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) |
(/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (neg.f64 (*.f64 i (neg.f64 (/.f64 (+.f64 alpha i) beta))))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 (*.f64 i (+.f64 beta i)) (*.f64 (+.f64 #s(literal 1 binary64) (+.f64 beta (*.f64 #s(literal 2 binary64) i))) (+.f64 beta (*.f64 #s(literal 2 binary64) i))))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 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))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 i (*.f64 alpha beta))))) (/.f64 i beta))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(literal 1/4 binary64) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
(/.f64 (/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 i (+.f64 alpha i))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta))) (/.f64 #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha))))) |
(*.f64 (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 (*.f64 i (/.f64 (+.f64 i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 (+.f64 alpha beta) i) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) #s(literal 1/4 binary64)) (/.f64 (/.f64 (fma.f64 (+.f64 (+.f64 alpha beta) i) i (*.f64 alpha beta)) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(approx (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (*.f64 i (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 i) (+.f64 alpha beta))))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (+.f64 alpha i) beta))) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 (*.f64 i (+.f64 beta i)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha 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)) #s(literal 1/16 binary64)) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) |
1 calls:
| 25.0ms | beta |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 2 | beta |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (/.f64 (*.f64 i 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 (/ (* (/ i beta) (neg (+ alpha i))) (neg beta)) (/.f64 (*.f64 i i) (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 i 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 (/.f64 (+.f64 i alpha) (*.f64 beta beta)) i)) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) #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) beta) (/ i beta)) (/.f64 (*.f64 (/.f64 i beta) alpha) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))) |
(/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (*.f64 #s(literal 1/8 binary64) i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 (/.f64 i beta) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (/.f64 (+.f64 i alpha) beta) beta) i)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (+.f64 i alpha) (*.f64 (/.f64 beta i) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) (neg.f64 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) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta i)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 i beta) (/.f64 beta (+.f64 alpha i)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 i beta) (/.f64 beta (+.f64 i alpha)))) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.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 (*.f64 (neg.f64 (+.f64 i alpha)) i) (/.f64 #s(literal -1 binary64) beta)) beta)) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) |
(/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (/.f64 (*.f64 i (+.f64 alpha i)) beta)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 (*.f64 i (+.f64 beta i)) (*.f64 (+.f64 (fma.f64 #s(literal 2 binary64) i beta) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) i beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) (fma.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal -1 binary64))) |
(/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (neg.f64 (*.f64 i (neg.f64 (/.f64 (+.f64 alpha i) beta))))) (-.f64 (fma.f64 #s(literal 2 binary64) 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)) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64)))) |
1 calls:
| 9.0ms | beta |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 2 | beta |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (/.f64 (*.f64 i 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 (/ (* (/ i beta) (neg (+ alpha i))) (neg beta)) (/.f64 (*.f64 i i) (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 i 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 (/.f64 (+.f64 i alpha) (*.f64 beta beta)) i)) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) #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) beta) (/ i beta)) (/.f64 (*.f64 (/.f64 i beta) alpha) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))) |
(/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (*.f64 #s(literal 1/8 binary64) i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 (/.f64 i beta) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (/.f64 (+.f64 i alpha) beta) beta) i)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (+.f64 i alpha) (*.f64 (/.f64 beta i) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) (neg.f64 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) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta i)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 i beta) (/.f64 beta (+.f64 alpha i)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (/.f64 i beta) (/.f64 beta (+.f64 i alpha)))) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i (+.f64 #s(literal 1 binary64) (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.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 (*.f64 (neg.f64 (+.f64 i alpha)) i) (/.f64 #s(literal -1 binary64) 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 i beta) (/.f64 beta (+.f64 alpha i)))) |
1 calls:
| 8.0ms | beta |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.7% | 2 | beta |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (/.f64 (*.f64 i 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 (/ (* (/ i beta) (neg (+ alpha i))) (neg beta)) (/.f64 (*.f64 i i) (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 i 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 (/.f64 (+.f64 i alpha) (*.f64 beta beta)) i)) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) #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) beta) (/ i beta)) (/.f64 (*.f64 (/.f64 i beta) alpha) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))) |
(/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (*.f64 #s(literal 1/8 binary64) i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 (/.f64 i beta) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (/.f64 (+.f64 i alpha) beta) beta) i)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 alpha i) beta) i) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 (+.f64 i alpha) beta) i) beta)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (+.f64 i alpha) (*.f64 (/.f64 beta i) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (/.f64 (*.f64 (/.f64 i beta) (neg.f64 (+.f64 alpha i))) (neg.f64 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) #s(literal 1 binary64)) (*.f64 beta (/.f64 beta i)))) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (/.f64 (+.f64 alpha i) beta) (/.f64 i beta))) |
1 calls:
| 42.0ms | beta |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.7% | 2 | beta |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (/.f64 (*.f64 i 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 (/ (* (/ i beta) (neg (+ alpha i))) (neg beta)) (/.f64 (*.f64 i i) (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 i 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 (/.f64 (+.f64 i alpha) (*.f64 beta beta)) i)) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) #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) beta) (/ i beta)) (/.f64 (*.f64 (/.f64 i beta) alpha) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))) |
(/.f64 #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (+ (+ (* 2 i) (+ beta alpha)) 1)) (*.f64 #s(literal 1/8 binary64) i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 beta alpha)) #s(literal 1 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 (/.f64 i beta) beta))) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta))) |
1 calls:
| 5.0ms | beta |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.0% | 2 | beta |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (/.f64 (*.f64 i 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 (/ (* (/ i beta) (neg (+ alpha i))) (neg beta)) (/.f64 (*.f64 i i) (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 i 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 (/.f64 (+.f64 i alpha) (*.f64 beta beta)) i)) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) #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) beta) (/ i beta)) (/.f64 (*.f64 (/.f64 i beta) alpha) beta))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta))) |
2 calls:
| 4.0ms | beta |
| 4.0ms | i |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.7% | 2 | i |
| 74.2% | 2 | beta |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (/.f64 (*.f64 i 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 (/ (* (/ i beta) (neg (+ alpha i))) (neg beta)) (/.f64 (*.f64 i i) (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 i 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 (/.f64 (+.f64 i alpha) (*.f64 beta beta)) i)) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) #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) beta) (/ i beta)) (/.f64 (*.f64 (/.f64 i beta) alpha) beta))) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (/.f64 (*.f64 (/.f64 i beta) alpha) beta))) |
1 calls:
| 13.0ms | beta |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.2% | 2 | beta |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 binary64))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (/.f64 (*.f64 i 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 (/ (* (/ i beta) (neg (+ alpha i))) (neg beta)) (/.f64 (*.f64 i i) (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 alpha i) (/.f64 i (*.f64 beta beta)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 (+.f64 i 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 (/.f64 (+.f64 i alpha) (*.f64 beta beta)) i)) |
(/.f64 #s(approx (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (*.f64 #s(approx (+ 1/4 (/ (* 1/4 (+ (* 2 (+ beta alpha)) (- (neg alpha) beta))) i)) #s(literal 1/4 binary64)) (*.f64 i i))) #s(approx (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1) (*.f64 alpha alpha))) |
| Outputs |
|---|
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta))))) |
3 calls:
| 3.0ms | beta |
| 3.0ms | alpha |
| 3.0ms | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.4% | 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))) |
| 65.3% | 1 | alpha |
| 71.7% | 2 | beta |
Compiled 55 to 23 computations (58.2% saved)
Total -38.9b remaining (-175.2%)
Threshold costs -38.9b (-175.2%)
| 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)) |
(*.f64 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) #s(literal 1/4 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 | beta |
| 1.0ms | i |
| 1.0ms | (/.f64 (/.f64 (*.f64 (*.f64 i (+.f64 (+.f64 alpha beta) i)) (+.f64 (*.f64 beta alpha) (*.f64 i (+.f64 (+.f64 alpha beta) i)))) (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)))) (-.f64 (*.f64 (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i)) (+.f64 (+.f64 alpha beta) (*.f64 #s(literal 2 binary64) i))) #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.3% | 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))) |
| 65.3% | 1 | i |
| 65.3% | 1 | beta |
Compiled 55 to 23 computations (58.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 53.0ms | 2.1651534664620424e+107 | 1.7019140436350254e+121 |
| 47.0ms | 160× | 0 | valid |
Compiled 436 to 273 computations (37.4% saved)
ival-mult: 37.0ms (86.7% of total)ival-add: 3.0ms (7% of total)ival-div: 2.0ms (4.7% of total)ival-sub: 1.0ms (2.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 37.0ms | 2.1651534664620424e+107 | 1.7019140436350254e+121 |
| 32.0ms | 112× | 0 | valid |
Compiled 366 to 253 computations (30.9% saved)
ival-mult: 3.0ms (41.9% of total)ival-add: 2.0ms (28% of total)ival-div: 1.0ms (14% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.1651534664620424e+107 | 1.7019140436350254e+121 |
Compiled 296 to 253 computations (14.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.1651534664620424e+107 | 1.7019140436350254e+121 |
Compiled 256 to 233 computations (9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.1651534664620424e+107 | 1.7019140436350254e+121 |
Compiled 176 to 173 computations (1.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.1651534664620424e+107 | 1.7019140436350254e+121 |
Compiled 176 to 173 computations (1.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.1651534664620424e+107 | 1.7019140436350254e+121 |
Compiled 166 to 163 computations (1.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 3.658370166223898e+215 | 1.3302926758570967e+216 |
| 7.0ms | 80× | 0 | valid |
Compiled 111 to 98 computations (11.7% saved)
ival-mult: 2.0ms (40.7% of total)ival-div: 1.0ms (20.3% of total)ival-add: 1.0ms (20.3% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.658370166223898e+215 | 1.3302926758570967e+216 |
Compiled 111 to 98 computations (11.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 4.751961266335356e+241 | 4.288747439489107e+243 |
| 10.0ms | 112× | 0 | valid |
Compiled 133 to 128 computations (3.8% saved)
ival-mult: 3.0ms (44.1% of total)ival-add: 2.0ms (29.4% of total)ival-sub: 1.0ms (14.7% of total)ival-div: 1.0ms (14.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 24× | *-commutative-binary64-*.f64 |
| 14× | +-commutative-binary64-+.f64 |
| 4× | neg-mul-1-binary64-*.f64-neg.f64 |
| 4× | unsub-neg-binary64--.f64-neg.f64-+.f64 |
| 4× | sub-neg-binary64-neg.f64-+.f64--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 100 | 1298 |
| 1 | 121 | 1298 |
| 2 | 125 | 1298 |
| 3 | 128 | 1298 |
| 4 | 131 | 1298 |
| 5 | 134 | 1298 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 beta #s(literal 1600000000000000037710988022672409333199252472091010981007860062829250669545858772157294978547919216419702571008 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 (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))))) |
(if (<=.f64 beta #s(literal 1800000000000000028006949033040317443682762514457910580065587044775500806096560265876973701847085405817171305562112 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 (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 alpha beta)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (+.f64 alpha i) beta)))) |
(if (<=.f64 beta #s(literal 1800000000000000028006949033040317443682762514457910580065587044775500806096560265876973701847085405817171305562112 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 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))))) |
(if (<=.f64 beta #s(literal 1800000000000000028006949033040317443682762514457910580065587044775500806096560265876973701847085405817171305562112 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 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))))) |
(if (<=.f64 beta #s(literal 1800000000000000028006949033040317443682762514457910580065587044775500806096560265876973701847085405817171305562112 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 beta (+.f64 alpha i))))) |
(if (<=.f64 beta #s(literal 1800000000000000028006949033040317443682762514457910580065587044775500806096560265876973701847085405817171305562112 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 1800000000000000028006949033040317443682762514457910580065587044775500806096560265876973701847085405817171305562112 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta)))) |
(if (<=.f64 beta #s(literal 1299999999999999935993948970629373982468880144487691497637875899784992489631787906170338469715948579551623047947288780147716578276457405035988775947953475625957169072835595340888983545937149964482930646166942771052544 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta)))) |
(if (<=.f64 beta #s(literal 1299999999999999935993948970629373982468880144487691497637875899784992489631787906170338469715948579551623047947288780147716578276457405035988775947953475625957169072835595340888983545937149964482930646166942771052544 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (/.f64 (*.f64 (/.f64 i beta) alpha) beta)))) |
(if (<=.f64 beta #s(literal 1149999999999999934235067046065343192685186424971292770332214451085729344158118533254433523024631421535806273845641821167870280868054124160092995507445235661592227731321141035295686320420182731093634126636621716083978965931463545845206122233856 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta)))))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
| Outputs |
|---|
(if (<=.f64 beta #s(literal 1600000000000000037710988022672409333199252472091010981007860062829250669545858772157294978547919216419702571008 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 (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 beta i)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))))) |
(if (<=.f64 beta #s(literal 1600000000000000037710988022672409333199252472091010981007860062829250669545858772157294978547919216419702571008 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 (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))) (/.f64 (*.f64 (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta))) #s(approx (+ (+ alpha beta) i) (+.f64 i beta))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))))) |
(if (<=.f64 beta #s(literal 1800000000000000028006949033040317443682762514457910580065587044775500806096560265876973701847085405817171305562112 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 (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 alpha beta)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (+.f64 alpha i) beta)))) |
(if (<=.f64 beta #s(literal 1800000000000000028006949033040317443682762514457910580065587044775500806096560265876973701847085405817171305562112 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 #s(approx (/ (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (- (+ (* 2 i) (+ alpha beta)) 1)) (/.f64 (+.f64 alpha i) beta)) (/.f64 (*.f64 #s(approx (+ (+ alpha beta) i) (+.f64 alpha beta)) (/.f64 i (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)))) (+.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))))) |
(if (<=.f64 beta #s(literal 1800000000000000028006949033040317443682762514457910580065587044775500806096560265876973701847085405817171305562112 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 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i (+.f64 (+.f64 beta alpha) #s(literal 1 binary64)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))))) |
(if (<=.f64 beta #s(literal 1800000000000000028006949033040317443682762514457910580065587044775500806096560265876973701847085405817171305562112 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 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i (+.f64 (+.f64 alpha beta) #s(literal 1 binary64)))) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))))) |
(if (<=.f64 beta #s(literal 1800000000000000028006949033040317443682762514457910580065587044775500806096560265876973701847085405817171305562112 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 #s(approx (/ (* (+ (+ alpha beta) i) (/ i (+ (* 2 i) (+ alpha beta)))) (+ 1 (+ (* 2 i) (+ alpha beta)))) (/.f64 i beta)) (/.f64 #s(approx (/ (+ (* (+ (+ alpha beta) i) i) (* alpha beta)) (+ (* 2 i) (+ alpha beta))) (+.f64 alpha i)) (-.f64 (fma.f64 #s(literal 2 binary64) i (+.f64 alpha beta)) #s(literal 1 binary64))))) |
(if (<=.f64 beta #s(literal 1800000000000000028006949033040317443682762514457910580065587044775500806096560265876973701847085405817171305562112 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 beta (+.f64 alpha i))))) |
(if (<=.f64 beta #s(literal 1800000000000000028006949033040317443682762514457910580065587044775500806096560265876973701847085405817171305562112 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 1800000000000000028006949033040317443682762514457910580065587044775500806096560265876973701847085405817171305562112 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 1800000000000000028006949033040317443682762514457910580065587044775500806096560265876973701847085405817171305562112 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 i beta)) (/.f64 i beta)))) |
(if (<=.f64 beta #s(literal 1299999999999999935993948970629373982468880144487691497637875899784992489631787906170338469715948579551623047947288780147716578276457405035988775947953475625957169072835595340888983545937149964482930646166942771052544 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) (*.f64 #s(approx (/ (+ alpha i) beta) (/.f64 alpha beta)) (/.f64 i beta)))) |
(if (<=.f64 beta #s(literal 1299999999999999935993948970629373982468880144487691497637875899784992489631787906170338469715948579551623047947288780147716578276457405035988775947953475625957169072835595340888983545937149964482930646166942771052544 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (/.f64 (*.f64 (/.f64 i beta) alpha) beta)))) |
(if (<=.f64 beta #s(literal 1149999999999999934235067046065343192685186424971292770332214451085729344158118533254433523024631421535806273845641821167870280868054124160092995507445235661592227731321141035295686320420182731093634126636621716083978965931463545845206122233856 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 alpha (/.f64 i (*.f64 beta beta)))))) |
(if (<=.f64 beta #s(literal 1149999999999999934235067046065343192685186424971292770332214451085729344158118533254433523024631421535806273845641821167870280868054124160092995507445235661592227731321141035295686320420182731093634126636621716083978965931463545845206122233856 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) #s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(approx (* (/ (+ alpha i) beta) (/ i beta)) (*.f64 (/.f64 i (*.f64 beta beta)) alpha)))) |
#s(approx (/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1)) #s(literal 1/16 binary64)) |
| 9 164× | lower-fma.f64 |
| 9 164× | lower-fma.f32 |
| 5 962× | lower-+.f64 |
| 5 962× | lower-+.f32 |
| 5 870× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 157 |
| 0 | 29 | 127 |
| 1 | 146 | 127 |
| 2 | 1503 | 127 |
| 0 | 8180 | 117 |
| 0 | 66 | 698 |
| 0 | 113 | 587 |
| 1 | 538 | 568 |
| 2 | 5592 | 568 |
| 0 | 8118 | 559 |
| 0 | 1089 | 12630 |
| 1 | 3841 | 11840 |
| 0 | 8258 | 10972 |
| 0 | 2564 | 68503 |
| 0 | 8056 | 62316 |
| 0 | 2835 | 66670 |
| 0 | 8279 | 63821 |
| 0 | 2860 | 57253 |
| 0 | 8206 | 54710 |
| 0 | 69 | 679 |
| 0 | 107 | 626 |
| 1 | 538 | 619 |
| 2 | 5167 | 619 |
| 0 | 8266 | 605 |
| 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× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 757 to 377 computations (50.2% saved)
Compiled 636 to 224 computations (64.8% saved)
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