
Time bar (total: 12.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 56.3% | 56.2% | 43.7% | 0.1% | 0% | 0% | 0% | 7 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 8 |
| 65.6% | 65.5% | 34.3% | 0.1% | 0% | 0% | 0% | 9 |
| 76.6% | 76.5% | 23.4% | 0.1% | 0% | 0% | 0% | 10 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 11 |
| 82% | 81.9% | 17.9% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 31 to 24 computations (22.6% saved)
| 1.5s | 8 256× | 0 | valid |
ival-mult: 477.0ms (42.5% of total)ival-div: 351.0ms (31.3% of total)ival-sub: 221.0ms (19.7% of total)ival-add: 47.0ms (4.2% of total)exact: 18.0ms (1.6% of total)ival-true: 6.0ms (0.5% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 26 | 0 | - | 1 | (-1.595771467621164e+155 -5.0050799599169476e-160 1.1460337402043922e+22) | (*.f64 (*.f64 w w) r) |
| 21 | 0 | - | 0 | - | (*.f64 (*.f64 (*.f64 w w) r) r) |
| 13 | 0 | - | 0 | - | (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) |
| 13 | 1 | (-1.114379176519484e+53 8.575187094314097e-197 -536379104.7928435) | 0 | - | (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) |
| 3 | 0 | - | 0 | - | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| 1 | 0 | - | 0 | - | (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 9/2 binary64) |
| 0 | 0 | - | 0 | - | #s(literal 1/8 binary64) |
| 0 | 0 | - | 0 | - | v |
| 0 | 0 | - | 0 | - | (*.f64 w w) |
| 0 | 0 | - | 0 | - | (*.f64 r r) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) |
| 0 | 0 | - | 0 | - | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 0 | 0 | - | 0 | - | (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) v) |
| 0 | 0 | - | 0 | - | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) v) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | w |
| 0 | 0 | - | 0 | - | r |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) | o/n | 13 | 0 |
| ↳ | (*.f64 (*.f64 w w) r) | overflow | 68 | |
| ↳ | (*.f64 w w) | overflow | 65 | |
| ↳ | (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) | overflow | 81 | |
| ↳ | (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) | overflow | 1 | |
| ↳ | (*.f64 #s(literal 2 binary64) v) | overflow | 1 | |
| ↳ | (*.f64 (*.f64 (*.f64 w w) r) r) | overflow | 68 | |
*.f64 | (*.f64 (*.f64 w w) r) | n*o | 13 | 0 |
*.f64 | (*.f64 (*.f64 (*.f64 w w) r) r) | n*o | 12 | 0 |
*.f64 | (*.f64 (*.f64 w w) r) | n*u | 8 | 0 |
*.f64 | (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) | n*o | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 43 | 0 |
| - | 1 | 212 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 43 | 0 | 0 |
| - | 1 | 0 | 212 |
| number | freq |
|---|---|
| 0 | 212 |
| 1 | 41 |
| 2 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 118.0ms | 512× | 0 | valid |
Compiled 325 to 70 computations (78.5% saved)
ival-sub: 35.0ms (44.3% of total)ival-mult: 34.0ms (43.1% of total)ival-div: 7.0ms (8.9% of total)ival-add: 2.0ms (2.5% of total)exact: 1.0ms (1.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 268 |
| 1 | 270 | 264 |
| 2 | 1038 | 246 |
| 3 | 3557 | 243 |
| 4 | 7112 | 243 |
| 0 | 22 | 29 |
| 0 | 36 | 29 |
| 1 | 72 | 29 |
| 2 | 184 | 25 |
| 3 | 713 | 25 |
| 4 | 3939 | 25 |
| 5 | 7914 | 25 |
| 0 | 8146 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Outputs |
|---|
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 v #s(literal 1 binary64))) r) w) (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(abs r)
(abs w)
Compiled 29 to 22 computations (24.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 83.7% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
Compiled 29 to 22 computations (24.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 128 | (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) | |
| cost-diff | 128 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) | |
| cost-diff | 192 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| cost-diff | 320 | (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 146 |
| 0 | 36 | 146 |
| 1 | 72 | 146 |
| 2 | 184 | 134 |
| 3 | 713 | 134 |
| 4 | 3939 | 134 |
| 5 | 7914 | 134 |
| 0 | 8146 | 126 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) |
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
#s(literal 1/8 binary64) |
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) |
(*.f64 #s(literal 2 binary64) v) |
v |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(*.f64 (*.f64 w w) r) |
(*.f64 w w) |
w |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 9/2 binary64) |
| Outputs |
|---|
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 v #s(literal 1 binary64))) r) w) (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
(fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 v #s(literal 1 binary64))) r) w) (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (*.f64 (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) r)) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) |
(*.f64 (*.f64 (*.f64 (*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) r) r) w) |
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
#s(literal 1/8 binary64) |
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) |
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) |
(*.f64 #s(literal 2 binary64) v) |
(*.f64 v #s(literal 2 binary64)) |
v |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(*.f64 (*.f64 w w) r) |
(*.f64 w w) |
w |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 9/2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.0953937854824463 | (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) | |
| accuracy | 3.202135925695075 | (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) | |
| accuracy | 5.04084304132604 | (*.f64 (*.f64 (*.f64 w w) r) r) | |
| accuracy | 6.09820941344442 | (*.f64 (*.f64 w w) r) |
| 36.0ms | 256× | 0 | valid |
Compiled 148 to 24 computations (83.8% saved)
ival-mult: 15.0ms (61.4% of total)ival-sub: 5.0ms (20.5% of total)ival-div: 3.0ms (12.3% of total)ival-add: 1.0ms (4.1% of total)exact: 1.0ms (4.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (patch (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) (patch (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 w w) r) (patch (*.f64 (*.f64 w w) r) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 w w) r) r) (patch (*.f64 (*.f64 (*.f64 w w) r) r) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (patch (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | w | @ | inf | ((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- 3 (* 2 v)) (* (* w w) r) (* (* (* w w) r) r) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) |
| 3.0ms | r | @ | 0 | ((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- 3 (* 2 v)) (* (* w w) r) (* (* (* w w) r) r) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) |
| 3.0ms | r | @ | inf | ((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- 3 (* 2 v)) (* (* w w) r) (* (* (* w w) r) r) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) |
| 3.0ms | w | @ | 0 | ((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- 3 (* 2 v)) (* (* w w) r) (* (* (* w w) r) r) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) |
| 2.0ms | v | @ | inf | ((* 1/8 (- 3 (* 2 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (- 3 (* 2 v)) (* (* w w) r) (* (* (* w w) r) r) (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 227 | 4018 |
| 1 | 745 | 3856 |
| 2 | 2583 | 3578 |
| 0 | 8206 | 3390 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (* (pow r 2) (* (pow w 2) (- 3 (* 2 v))))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
3/8 |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
3 |
(+ 3 (* -2 v)) |
(+ 3 (* -2 v)) |
(+ 3 (* -2 v)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* -1/4 (* (pow r 2) (* v (pow w 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))) |
(* -1/4 v) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -2 v) |
(* v (- (* 3 (/ 1 v)) 2)) |
(* v (- (* 3 (/ 1 v)) 2)) |
(* v (- (* 3 (/ 1 v)) 2)) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1/4 v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(* -2 v) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
| Outputs |
|---|
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
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(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
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(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 w w) (pow.f64 v #s(literal 3 binary64))) (*.f64 (neg.f64 r) r)) #s(literal -1/8 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
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(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (+.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) (pow.f64 v #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))))) |
(* -2 v) |
(*.f64 #s(literal -2 binary64) v) |
(* v (- (* 3 (/ 1 v)) 2)) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) v) #s(literal 2 binary64)) v) |
(* v (- (* 3 (/ 1 v)) 2)) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) v) #s(literal 2 binary64)) v) |
(* v (- (* 3 (/ 1 v)) 2)) |
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) v) #s(literal 2 binary64)) v) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) #s(literal -1/4 binary64)) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v) |
(* v (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 3/8 (/ (* (pow r 2) (pow w 2)) v)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) #s(literal -1/8 binary64))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (*.f64 (neg.f64 r) (*.f64 r (/.f64 (*.f64 w w) v))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (fma.f64 (*.f64 (neg.f64 r) (*.f64 r (/.f64 (*.f64 w w) v))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal -1/8 binary64)) (pow.f64 v #s(literal 3 binary64))))) |
(* -1/4 v) |
(*.f64 #s(literal -1/4 binary64) v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1 binary64) #s(literal -1/4 binary64)) v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1 binary64) #s(literal -1/4 binary64)) v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1 binary64) #s(literal -1/4 binary64)) v) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(-.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r))) v) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (fma.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) #s(literal 3/2 binary64))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) |
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) |
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) |
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (+.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r))) v) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 3 binary64))) |
(* -2 v) |
(*.f64 #s(literal -2 binary64) v) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) v) #s(literal -1 binary64) #s(literal -2 binary64)) v) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) v) #s(literal -1 binary64) #s(literal -2 binary64)) v) |
(* -1 (* v (- 2 (* 3 (/ 1 v))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3 binary64) v) #s(literal -1 binary64) #s(literal -2 binary64)) v) |
(* -1/4 (* (pow r 2) (* v (pow w 2)))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) #s(literal -1/4 binary64)) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v) |
(* -1 (* v (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(*.f64 (*.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) #s(literal -1/8 binary64))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (*.f64 (neg.f64 r) (*.f64 r (/.f64 (*.f64 w w) v))) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 w w) r) r) v) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r))) (neg.f64 v))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 114 |
| 0 | 36 | 114 |
| 1 | 149 | 104 |
| 2 | 1353 | 104 |
| 0 | 8965 | 94 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) |
(*.f64 (*.f64 w w) r) |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v)) |
| Outputs |
|---|
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Compiled 25 169 to 2 092 computations (91.7% saved)
19 alts after pruning (19 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 596 | 19 | 615 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 597 | 19 | 616 |
| Status | Accuracy | Program |
|---|---|---|
| 99.8% | (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) | |
| 82.4% | (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 w w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) | |
| ▶ | 99.8% | (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
| 53.8% | (-.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 r #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 87.8% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) r) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 87.2% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 w (*.f64 w (*.f64 r r)))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 99.7% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) | |
| ▶ | 90.3% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
| 81.8% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) | |
| 48.0% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) | |
| ▶ | 99.7% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
| 53.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 r r) #s(literal -3/2 binary64))) | |
| 82.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) | |
| ▶ | 81.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
| 65.0% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) | |
| ▶ | 45.5% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| 56.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) | |
| 54.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 1/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 w w)))) (*.f64 w w))) | |
| 35.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))) |
Compiled 846 to 672 computations (20.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) | |
| cost-diff | 192 | (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) | |
| cost-diff | 320 | (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) | |
| cost-diff | 0 | (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) | |
| cost-diff | 128 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) | |
| cost-diff | 192 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) | |
| cost-diff | 320 | (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) | |
| cost-diff | 0 | (*.f64 w w) | |
| cost-diff | 0 | (*.f64 (*.f64 w w) r) | |
| cost-diff | 0 | (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) | |
| cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) | |
| cost-diff | 0 | (*.f64 r r) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) | |
| cost-diff | 0 | (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) | |
| cost-diff | 128 | (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) | |
| cost-diff | 192 | (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) | |
| cost-diff | 320 | (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 493 |
| 0 | 88 | 492 |
| 1 | 192 | 466 |
| 2 | 525 | 449 |
| 3 | 2180 | 449 |
| 4 | 7374 | 449 |
| 0 | 8216 | 426 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) |
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) |
#s(literal -2 binary64) |
v |
#s(literal 3 binary64) |
#s(literal 1/8 binary64) |
(neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(pow.f64 (*.f64 w r) #s(literal 2 binary64)) |
(*.f64 w r) |
w |
r |
#s(literal 2 binary64) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
(fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64)) |
(pow.f64 r #s(literal -2 binary64)) |
#s(literal 9/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
#s(literal -3/8 binary64) |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(*.f64 (*.f64 w w) r) |
(*.f64 w w) |
w |
r |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
#s(literal 3/2 binary64) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) |
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) |
#s(literal -2 binary64) |
v |
#s(literal 1/8 binary64) |
w |
(*.f64 w r) |
(/.f64 r (-.f64 #s(literal 1 binary64) v)) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 9/2 binary64) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) |
#s(literal 3 binary64) |
(fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) |
(/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(pow.f64 (*.f64 w r) #s(literal 2 binary64)) |
(*.f64 w r) |
w |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
v |
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) |
#s(literal -2 binary64) |
#s(literal 1/8 binary64) |
#s(literal 9/2 binary64) |
| Outputs |
|---|
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) (-.f64 #s(literal 1 binary64) v)) (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) (/.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) |
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
#s(literal -2 binary64) |
v |
#s(literal 3 binary64) |
#s(literal 1/8 binary64) |
(neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 v #s(literal 1 binary64))) |
(/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(pow.f64 (*.f64 w r) #s(literal 2 binary64)) |
(pow.f64 (*.f64 r w) #s(literal 2 binary64)) |
(*.f64 w r) |
(*.f64 r w) |
w |
r |
#s(literal 2 binary64) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
(fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64)) |
(pow.f64 r #s(literal -2 binary64)) |
#s(literal 9/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(fma.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
#s(literal -3/8 binary64) |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(pow.f64 (*.f64 r w) #s(literal 2 binary64)) |
(*.f64 (*.f64 w w) r) |
(*.f64 w w) |
w |
r |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
#s(literal 3/2 binary64) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) (/.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) (/.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) |
(*.f64 (*.f64 (*.f64 r (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) w) w) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) |
(*.f64 w (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) |
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
#s(literal -2 binary64) |
v |
#s(literal 1/8 binary64) |
w |
(*.f64 w r) |
(*.f64 r w) |
(/.f64 r (-.f64 #s(literal 1 binary64) v)) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 9/2 binary64) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) (/.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) (/.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
#s(literal 3 binary64) |
(fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) |
(fma.f64 (/.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) #s(literal 9/2 binary64)) |
(/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(pow.f64 (*.f64 w r) #s(literal 2 binary64)) |
(pow.f64 (*.f64 r w) #s(literal 2 binary64)) |
(*.f64 w r) |
(*.f64 r w) |
w |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
v |
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
#s(literal -2 binary64) |
#s(literal 1/8 binary64) |
#s(literal 9/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.20703125 | (pow.f64 (*.f64 w r) #s(literal 2 binary64)) | |
| accuracy | 0.20768220135958138 | (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) | |
| accuracy | 0.6225323981074181 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 2.1595768493248944 | (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) | |
| accuracy | 0.20768220135958138 | (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) | |
| accuracy | 0.6225323981074181 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 1.3793276116375235 | (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) | |
| accuracy | 6.760847400005744 | (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) | |
| accuracy | 0.6225323981074181 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 4.929179909414686 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) | |
| accuracy | 5.04084304132604 | (*.f64 (*.f64 (*.f64 w w) r) r) | |
| accuracy | 6.09820941344442 | (*.f64 (*.f64 w w) r) | |
| accuracy | 0 | (*.f64 r r) | |
| accuracy | 0.6225323981074181 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 34.7787483103913 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) | |
| accuracy | 0.05859375 | (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) | |
| accuracy | 0.20703125 | (pow.f64 (*.f64 w r) #s(literal 2 binary64)) | |
| accuracy | 0.20768220135958138 | (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) | |
| accuracy | 2.1595768493248944 | (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) |
| 133.0ms | 240× | 0 | valid |
| 6.0ms | 7× | 2 | valid |
| 6.0ms | 9× | 1 | valid |
Compiled 497 to 53 computations (89.3% saved)
ival-sub: 38.0ms (34.8% of total)ival-div: 28.0ms (25.6% of total)ival-mult: 25.0ms (22.9% of total)ival-add: 8.0ms (7.3% of total)ival-pow: 3.0ms (2.7% of total)ival-pow2: 3.0ms (2.7% of total)adjust: 2.0ms (1.8% of total)exact: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (patch (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) (patch (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (patch (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) (patch (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ()) |
#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 w w) r) (patch (*.f64 (*.f64 w w) r) #<representation binary64>) () ()) |
#s(alt (*.f64 w w) (patch (*.f64 w w) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) (patch (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 w r) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 w w) r) r) (patch (*.f64 (*.f64 (*.f64 w w) r) r) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (patch (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) (patch (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) (patch (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) (patch (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) (patch (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* (pow r 2) (pow w 2)) (- 1 v))) (taylor 0 r) (#s(alt (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (patch (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* (pow r 2) (pow w 2)) (- 1 v))) (taylor 0 r) (#s(alt (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (patch (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* (pow r 2) (pow w 2)) (- 1 v))) (taylor 0 r) (#s(alt (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (patch (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* (pow r 2) (pow w 2)) (- 1 v))) (taylor 0 r) (#s(alt (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (patch (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) (patch (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) (patch (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) (taylor 0 r) (#s(alt (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) (patch (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) (taylor 0 r) (#s(alt (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) (patch (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ()) |
#s(alt (pow r 2) (taylor 0 r) (#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())) ()) |
#s(alt (pow r 2) (taylor 0 r) (#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())) ()) |
#s(alt (pow r 2) (taylor 0 r) (#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())) ()) |
#s(alt (pow r 2) (taylor 0 r) (#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* r (pow w 2)) (taylor 0 r) (#s(alt (*.f64 (*.f64 w w) r) (patch (*.f64 (*.f64 w w) r) #<representation binary64>) () ())) ()) |
#s(alt (* r (pow w 2)) (taylor 0 r) (#s(alt (*.f64 (*.f64 w w) r) (patch (*.f64 (*.f64 w w) r) #<representation binary64>) () ())) ()) |
#s(alt (* r (pow w 2)) (taylor 0 r) (#s(alt (*.f64 (*.f64 w w) r) (patch (*.f64 (*.f64 w w) r) #<representation binary64>) () ())) ()) |
#s(alt (* r (pow w 2)) (taylor 0 r) (#s(alt (*.f64 (*.f64 w w) r) (patch (*.f64 (*.f64 w w) r) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) (taylor -inf v) (#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) (taylor -inf v) (#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) (taylor -inf v) (#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v)) (taylor -inf v) (#s(alt (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) (taylor -inf v) (#s(alt (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) (pow w 2)) v) (* -1 (* (pow r 2) (pow w 2)))) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) (taylor -inf v) (#s(alt (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (* (pow r 2) (pow w 2))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (* r (* v (pow w 2)))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (patch (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (patch (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (patch (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (patch (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | r | @ | inf | ((* (+ (* -2 v) 3) 1/8) (- (+ (* (* (+ (* -2 v) 3) 1/8) (neg (/ (pow (* w r) 2) (- 1 v)))) (+ (* (pow r -2) 2) 3)) 9/2) (neg (/ (pow (* w r) 2) (- 1 v))) (+ (* (* (+ (* -2 v) 3) 1/8) (neg (/ (pow (* w r) 2) (- 1 v)))) (+ (* (pow r -2) 2) 3)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ 2 (* r r)) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* w w) r) (* w w) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) (+ 3 (/ 2 (* r r))) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ (pow (* w r) 2) (- 1 v)) (pow (* w r) 2) (* (* (* w w) r) r) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r))) |
| 7.0ms | r | @ | 0 | ((* (+ (* -2 v) 3) 1/8) (- (+ (* (* (+ (* -2 v) 3) 1/8) (neg (/ (pow (* w r) 2) (- 1 v)))) (+ (* (pow r -2) 2) 3)) 9/2) (neg (/ (pow (* w r) 2) (- 1 v))) (+ (* (* (+ (* -2 v) 3) 1/8) (neg (/ (pow (* w r) 2) (- 1 v)))) (+ (* (pow r -2) 2) 3)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ 2 (* r r)) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* w w) r) (* w w) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) (+ 3 (/ 2 (* r r))) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ (pow (* w r) 2) (- 1 v)) (pow (* w r) 2) (* (* (* w w) r) r) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r))) |
| 4.0ms | w | @ | 0 | ((* (+ (* -2 v) 3) 1/8) (- (+ (* (* (+ (* -2 v) 3) 1/8) (neg (/ (pow (* w r) 2) (- 1 v)))) (+ (* (pow r -2) 2) 3)) 9/2) (neg (/ (pow (* w r) 2) (- 1 v))) (+ (* (* (+ (* -2 v) 3) 1/8) (neg (/ (pow (* w r) 2) (- 1 v)))) (+ (* (pow r -2) 2) 3)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ 2 (* r r)) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* w w) r) (* w w) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) (+ 3 (/ 2 (* r r))) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ (pow (* w r) 2) (- 1 v)) (pow (* w r) 2) (* (* (* w w) r) r) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r))) |
| 4.0ms | w | @ | inf | ((* (+ (* -2 v) 3) 1/8) (- (+ (* (* (+ (* -2 v) 3) 1/8) (neg (/ (pow (* w r) 2) (- 1 v)))) (+ (* (pow r -2) 2) 3)) 9/2) (neg (/ (pow (* w r) 2) (- 1 v))) (+ (* (* (+ (* -2 v) 3) 1/8) (neg (/ (pow (* w r) 2) (- 1 v)))) (+ (* (pow r -2) 2) 3)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ 2 (* r r)) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* w w) r) (* w w) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) (+ 3 (/ 2 (* r r))) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ (pow (* w r) 2) (- 1 v)) (pow (* w r) 2) (* (* (* w w) r) r) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r))) |
| 4.0ms | w | @ | -inf | ((* (+ (* -2 v) 3) 1/8) (- (+ (* (* (+ (* -2 v) 3) 1/8) (neg (/ (pow (* w r) 2) (- 1 v)))) (+ (* (pow r -2) 2) 3)) 9/2) (neg (/ (pow (* w r) 2) (- 1 v))) (+ (* (* (+ (* -2 v) 3) 1/8) (neg (/ (pow (* w r) 2) (- 1 v)))) (+ (* (pow r -2) 2) 3)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ 2 (* r r)) (* r r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* w w) r) (* w w) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) (+ 3 (/ 2 (* r r))) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ (pow (* w r) 2) (- 1 v)) (pow (* w r) 2) (* (* (* w w) r) r) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 414 | 11977 |
| 1 | 1417 | 11265 |
| 2 | 4955 | 10915 |
| 0 | 8362 | 10162 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(* -1 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(* -1 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(* -1 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(* -1 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
-3/2 |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
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(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
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(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
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(* (pow r 2) (- (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
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(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))))) |
(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
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(* r (pow w 2)) |
(* r (pow w 2)) |
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(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
3 |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
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(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(* (pow r 2) (pow w 2)) |
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(* (pow r 2) (pow w 2)) |
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(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
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(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow r 2) (- (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* -1 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
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(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))))) |
(* (pow r 2) (+ (* -1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -3/8 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
3 |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* -1 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(* -1 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(* -1 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(* -1 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
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(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(pow w 2) |
(pow w 2) |
(pow w 2) |
(pow w 2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
-3/2 |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
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(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
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(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
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(* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* -1 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(* -1 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(* -1 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(* -1 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(pow w 2) |
(pow w 2) |
(pow w 2) |
(pow w 2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
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(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
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(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
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(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
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(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
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(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
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(* (pow w 2) (- (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
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(* (pow w 2) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(pow w 2) |
(pow w 2) |
(pow w 2) |
(pow w 2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
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(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
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(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
3/8 |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* -1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (+ (* -1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* -1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))))) 3/2) |
(* -1 (* (pow r 2) (pow w 2))) |
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(- (* v (+ (* -1 (* (pow r 2) (* v (pow w 2)))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2))) |
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(+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) |
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(+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* -1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))) |
(+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* 2 (/ 1 (pow r 2))) (* v (+ (* -1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* -1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(* -1 (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(* (pow r 2) (pow w 2)) |
(+ (* (pow r 2) (* v (pow w 2))) (* (pow r 2) (pow w 2))) |
(+ (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2))) |
(+ (* v (- (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))) |
(* 3/8 (* r (pow w 2))) |
(+ (* -1/4 (* r (* v (pow w 2)))) (* 3/8 (* r (pow w 2)))) |
(+ (* -1/4 (* r (* v (pow w 2)))) (* 3/8 (* r (pow w 2)))) |
(+ (* -1/4 (* r (* v (pow w 2)))) (* 3/8 (* r (pow w 2)))) |
(* -1/4 v) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(* v (- (* 3/8 (/ 1 v)) 1/4)) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))))) 3/2) |
(/ (* (pow r 2) (pow w 2)) v) |
(/ (- (/ (* (pow r 2) (pow w 2)) v) (* -1 (* (pow r 2) (pow w 2)))) v) |
(/ (- (+ (/ (* (pow r 2) (pow w 2)) v) (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* -1 (* (pow r 2) (pow w 2)))) v) |
(/ (- (+ (/ (* (pow r 2) (pow w 2)) v) (+ (/ (* (pow r 2) (pow w 2)) (pow v 2)) (/ (* (pow r 2) (pow w 2)) (pow v 3)))) (* -1 (* (pow r 2) (pow w 2)))) v) |
(+ 3 (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))))) |
(+ 3 (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))))) |
(+ 3 (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2))))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1 (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(* -1 (/ (* (pow r 2) (pow w 2)) v)) |
(/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v) |
(/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 2)))) (/ (* (pow r 2) (pow w 2)) v)) v) |
(/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 3)))) (+ (/ (* (pow r 2) (pow w 2)) v) (/ (* (pow r 2) (pow w 2)) (pow v 2)))) v) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1/4 (* r (* v (pow w 2)))) |
(* v (+ (* -1/4 (* r (pow w 2))) (* 3/8 (/ (* r (pow w 2)) v)))) |
(* v (+ (* -1/4 (* r (pow w 2))) (* 3/8 (/ (* r (pow w 2)) v)))) |
(* v (+ (* -1/4 (* r (pow w 2))) (* 3/8 (/ (* r (pow w 2)) v)))) |
(* -1/4 v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) 3/2) |
(- (+ (* -1 (/ (+ (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2) |
(- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) 3/2) |
(/ (* (pow r 2) (pow w 2)) v) |
(* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) |
(* -1 (/ (- (* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v)) (* (pow r 2) (pow w 2))) v)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(+ 3 (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/4 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))))) |
(+ 3 (+ (* -1 (/ (+ (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))))) |
(+ 3 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2))))) (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v))) v)) (* -1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(* -1 (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(* -1 (/ (* (pow r 2) (pow w 2)) v)) |
(* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) (pow w 2)) v) (* -1 (* (pow r 2) (pow w 2)))) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(* -1/4 (* r (* v (pow w 2)))) |
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) |
| Outputs |
|---|
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(* -1 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(*.f64 (*.f64 (neg.f64 w) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 r r)) |
(* -1 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(*.f64 (*.f64 (neg.f64 w) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 r r)) |
(* -1 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(*.f64 (*.f64 (neg.f64 w) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 r r)) |
(* -1 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
(*.f64 (*.f64 (neg.f64 w) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(pow r 2) |
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(*.f64 (neg.f64 r) (/.f64 (*.f64 (*.f64 w w) r) v)) |
(* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v)) |
(/.f64 (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (*.f64 w w))) (neg.f64 v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(/.f64 (fma.f64 (*.f64 (*.f64 r r) w) w (/.f64 (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (*.f64 w w))) v)) (neg.f64 v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) (pow w 2)) v) (* -1 (* (pow r 2) (pow w 2)))) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 r r) (fma.f64 w w (*.f64 w (/.f64 w (pow.f64 v #s(literal 3 binary64))))) (/.f64 (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (*.f64 w w))) v))) v) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) r) r) w) w) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) r) r) w) w (*.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (/.f64 #s(literal -1/8 binary64) v))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) r) r) w) w (*.f64 (/.f64 (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (*.f64 w w))) v) #s(literal -1/8 binary64))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) r) r) w) w (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (*.f64 w w))) v) #s(literal -1/8 binary64) (*.f64 (*.f64 r r) (*.f64 (*.f64 w w) #s(literal -1/8 binary64)))) v)) |
(* -1/4 (* r (* v (pow w 2)))) |
(*.f64 (*.f64 (*.f64 v (*.f64 w w)) r) #s(literal -1/4 binary64)) |
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 w w) r) v) #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 w w) r))) v) |
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 w w) r) v) #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 w w) r))) v) |
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 w w) r) v) #s(literal 3/8 binary64) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 w w) r))) v) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 333 |
| 0 | 88 | 311 |
| 1 | 425 | 304 |
| 2 | 3682 | 304 |
| 0 | 8899 | 290 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(*.f64 r r) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(*.f64 (*.f64 w w) r) |
(*.f64 w w) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
(/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(pow.f64 (*.f64 w r) #s(literal 2 binary64)) |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) |
| Outputs |
|---|
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Compiled 70 627 to 3 299 computations (95.3% saved)
23 alts after pruning (21 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 921 | 18 | 1 939 |
| Fresh | 11 | 3 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 935 | 23 | 1 958 |
| Status | Accuracy | Program |
|---|---|---|
| 81.1% | (-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(approx (neg (/ (pow (* w r) 2) (- 1 v))) (*.f64 (*.f64 (neg.f64 w) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 r r))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) | |
| 92.8% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))))) #s(literal 9/2 binary64)) | |
| ▶ | 85.3% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
| 72.2% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 #s(approx (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (*.f64 (*.f64 (*.f64 v (*.f64 w w)) r) #s(literal -1/4 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) | |
| ▶ | 85.6% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) |
| 51.9% | (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) | |
| 48.0% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) | |
| ▶ | 99.7% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
| 78.2% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (/ (pow (* w r) 2) (- 1 v)) (*.f64 (*.f64 (*.f64 r r) w) w)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) | |
| 86.1% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w #s(literal -3/2 binary64)))) | |
| ▶ | 56.7% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) |
| 82.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) | |
| ✓ | 81.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
| 90.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 r w) r) w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) | |
| ▶ | 92.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
| 45.5% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) | |
| ✓ | 45.5% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| 45.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64))) | |
| 54.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 1/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 w w)))) (*.f64 w w))) | |
| 35.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))) | |
| 62.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) r) r (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) w) w)) (*.f64 w w) #s(literal -3/2 binary64)))) | |
| 39.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) | |
| 34.2% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
Compiled 817 to 671 computations (17.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) | |
| cost-diff | 128 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) | |
| cost-diff | 192 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) | |
| cost-diff | 320 | (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| cost-diff | 0 | (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) | |
| cost-diff | 0 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) | |
| cost-diff | 192 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) | |
| cost-diff | 0 | (*.f64 r w) | |
| cost-diff | 0 | (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) | |
| cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) | |
| cost-diff | 0 | #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)) | |
| cost-diff | 0 | (*.f64 r r) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) | |
| cost-diff | 192 | (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) | |
| cost-diff | 320 | (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 562 |
| 0 | 108 | 527 |
| 1 | 258 | 496 |
| 2 | 654 | 494 |
| 3 | 2929 | 494 |
| 0 | 8032 | 470 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) |
#s(literal 3 binary64) |
(fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) |
(/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 (*.f64 r w) (*.f64 r w)) |
(*.f64 r w) |
w |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
v |
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) |
#s(literal -2 binary64) |
#s(literal 1/8 binary64) |
#s(literal 9/2 binary64) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
#s(literal -3/8 binary64) |
(*.f64 (*.f64 r w) (*.f64 r w)) |
(*.f64 r w) |
r |
w |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
#s(literal 3/2 binary64) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w)) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w) |
(*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) |
(*.f64 (*.f64 #s(literal 3/8 binary64) r) r) |
(*.f64 #s(literal 3/8 binary64) r) |
#s(literal 3/8 binary64) |
w |
#s(literal 9/2 binary64) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) |
(*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) |
(*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
w |
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
#s(literal 1/8 binary64) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
v |
#s(literal -2 binary64) |
(/.f64 r (-.f64 #s(literal 1 binary64) v)) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 9/2 binary64) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
#s(literal 3 binary64) |
(fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
(/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 (*.f64 r w) (*.f64 r w)) |
(pow.f64 (*.f64 w r) #s(literal 2 binary64)) |
(*.f64 r w) |
(*.f64 w r) |
w |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
v |
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) |
#s(literal -2 binary64) |
#s(literal 1/8 binary64) |
#s(literal 9/2 binary64) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) |
(+.f64 #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)) |
#s(literal -3/2 binary64) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(fma.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
#s(literal -3/8 binary64) |
(*.f64 (*.f64 r w) (*.f64 r w)) |
(pow.f64 (*.f64 w r) #s(literal 2 binary64)) |
(*.f64 r w) |
(*.f64 w r) |
r |
w |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
#s(literal 3/2 binary64) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 #s(literal 3/8 binary64) (pow.f64 (*.f64 w r) #s(literal 2 binary64))))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 #s(literal 3/8 binary64) (pow.f64 (*.f64 w r) #s(literal 2 binary64))))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w)) |
#s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 #s(literal 3/8 binary64) (pow.f64 (*.f64 w r) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w) |
(*.f64 #s(literal 3/8 binary64) (pow.f64 (*.f64 w r) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) |
(*.f64 (*.f64 #s(literal 3/8 binary64) r) r) |
(*.f64 #s(literal 3/8 binary64) r) |
#s(literal 3/8 binary64) |
w |
#s(literal 9/2 binary64) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(literal 3 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w) w) r) |
(*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w) w) |
(*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w) |
w |
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
#s(literal 1/8 binary64) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) |
v |
#s(literal -2 binary64) |
(/.f64 r (-.f64 #s(literal 1 binary64) v)) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 9/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.20768220135958138 | (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) | |
| accuracy | 0.6225323981074181 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 6.4110612329384065 | (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) | |
| accuracy | 6.760847400005744 | (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) | |
| accuracy | 0.6225323981074181 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 1.8205435674064483 | (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w) | |
| accuracy | 8.364077162605437 | (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) | |
| accuracy | 12.605358395449473 | #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w)) | |
| accuracy | 0.05859375 | (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) | |
| accuracy | 0.20703125 | (*.f64 (*.f64 r w) (*.f64 r w)) | |
| accuracy | 0.6225323981074181 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 4.929179909414686 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) | |
| accuracy | 0 | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) | |
| accuracy | 0 | (*.f64 r r) | |
| accuracy | 0.6225323981074181 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 32.16532477337643 | #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)) | |
| accuracy | 0.20703125 | (*.f64 (*.f64 r w) (*.f64 r w)) | |
| accuracy | 0.20768220135958138 | (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) | |
| accuracy | 0.6225323981074181 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 2.1595768493248944 | (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
| 115.0ms | 241× | 0 | valid |
| 7.0ms | 7× | 2 | valid |
| 6.0ms | 8× | 1 | valid |
Compiled 535 to 68 computations (87.3% saved)
ival-mult: 58.0ms (58.6% of total)ival-div: 13.0ms (13.1% of total)ival-sub: 13.0ms (13.1% of total)ival-add: 9.0ms (9.1% of total)adjust: 3.0ms (3% of total)ival-pow2: 3.0ms (3% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (patch (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) (patch (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ()) |
#s(alt #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)) (patch #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) (patch (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 r w) (patch (*.f64 r w) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) (patch (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (patch (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 r w) (*.f64 r w)) (patch (*.f64 (*.f64 r w) (*.f64 r w)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w)) (patch #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) (patch (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w) (patch (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (patch (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt -3/2 (taylor 0 r) (#s(alt (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) (patch (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) (taylor 0 r) (#s(alt (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) (patch (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) (taylor 0 r) (#s(alt (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) (patch (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) (taylor 0 r) (#s(alt (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) (patch (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (pow r 2) (taylor 0 r) (#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())) ()) |
#s(alt (pow r 2) (taylor 0 r) (#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())) ()) |
#s(alt (pow r 2) (taylor 0 r) (#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())) ()) |
#s(alt (pow r 2) (taylor 0 r) (#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ())) ()) |
#s(alt -3/2 (taylor 0 r) (#s(alt #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)) (patch #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) (taylor 0 r) (#s(alt #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)) (patch #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) (taylor 0 r) (#s(alt #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)) (patch #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) (taylor 0 r) (#s(alt #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)) (patch #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w)) (patch #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w)) (patch #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w)) (patch #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (* r (* v (pow w 2)))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (patch (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (patch (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (patch (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (patch (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | w | @ | -inf | ((* (+ (* -2 v) 3) 1/8) (- 3 (+ (* (/ (* (* r w) (* r w)) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (* (* r w) (* r w)) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ 2 (* r r)) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (* r r) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* r w) (* r w))) (- (/ 2 (* r r)) 3/2)) (* r w) (- (/ 2 (* r r)) 3/2) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) (+ 3 (/ 2 (* r r))) (* 1/8 (+ (* v -2) 3)) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* w (* 1/8 (+ (* v -2) 3))) w) r) (/ r (- 1 v)))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (* (* (* w (* 1/8 (+ (* v -2) 3))) w) r) (/ r (- 1 v)))) (/ (* (* r w) (* r w)) (- 1 v)) (* (* r w) (* r w)) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (* (* (* 3/8 r) r) w) (* (* (* (* 3/8 r) r) w) w) (* (* (* (* w (* 1/8 (+ (* v -2) 3))) w) r) (/ r (- 1 v))) (* (* (* w (* 1/8 (+ (* v -2) 3))) w) r)) |
| 4.0ms | r | @ | inf | ((* (+ (* -2 v) 3) 1/8) (- 3 (+ (* (/ (* (* r w) (* r w)) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (* (* r w) (* r w)) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ 2 (* r r)) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (* r r) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* r w) (* r w))) (- (/ 2 (* r r)) 3/2)) (* r w) (- (/ 2 (* r r)) 3/2) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) (+ 3 (/ 2 (* r r))) (* 1/8 (+ (* v -2) 3)) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* w (* 1/8 (+ (* v -2) 3))) w) r) (/ r (- 1 v)))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (* (* (* w (* 1/8 (+ (* v -2) 3))) w) r) (/ r (- 1 v)))) (/ (* (* r w) (* r w)) (- 1 v)) (* (* r w) (* r w)) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (* (* (* 3/8 r) r) w) (* (* (* (* 3/8 r) r) w) w) (* (* (* (* w (* 1/8 (+ (* v -2) 3))) w) r) (/ r (- 1 v))) (* (* (* w (* 1/8 (+ (* v -2) 3))) w) r)) |
| 4.0ms | r | @ | 0 | ((* (+ (* -2 v) 3) 1/8) (- 3 (+ (* (/ (* (* r w) (* r w)) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (* (* r w) (* r w)) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ 2 (* r r)) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (* r r) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* r w) (* r w))) (- (/ 2 (* r r)) 3/2)) (* r w) (- (/ 2 (* r r)) 3/2) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) (+ 3 (/ 2 (* r r))) (* 1/8 (+ (* v -2) 3)) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* w (* 1/8 (+ (* v -2) 3))) w) r) (/ r (- 1 v)))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (* (* (* w (* 1/8 (+ (* v -2) 3))) w) r) (/ r (- 1 v)))) (/ (* (* r w) (* r w)) (- 1 v)) (* (* r w) (* r w)) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (* (* (* 3/8 r) r) w) (* (* (* (* 3/8 r) r) w) w) (* (* (* (* w (* 1/8 (+ (* v -2) 3))) w) r) (/ r (- 1 v))) (* (* (* w (* 1/8 (+ (* v -2) 3))) w) r)) |
| 4.0ms | r | @ | -inf | ((* (+ (* -2 v) 3) 1/8) (- 3 (+ (* (/ (* (* r w) (* r w)) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (* (* r w) (* r w)) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ 2 (* r r)) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (* r r) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* r w) (* r w))) (- (/ 2 (* r r)) 3/2)) (* r w) (- (/ 2 (* r r)) 3/2) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) (+ 3 (/ 2 (* r r))) (* 1/8 (+ (* v -2) 3)) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* w (* 1/8 (+ (* v -2) 3))) w) r) (/ r (- 1 v)))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (* (* (* w (* 1/8 (+ (* v -2) 3))) w) r) (/ r (- 1 v)))) (/ (* (* r w) (* r w)) (- 1 v)) (* (* r w) (* r w)) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (* (* (* 3/8 r) r) w) (* (* (* (* 3/8 r) r) w) w) (* (* (* (* w (* 1/8 (+ (* v -2) 3))) w) r) (/ r (- 1 v))) (* (* (* w (* 1/8 (+ (* v -2) 3))) w) r)) |
| 3.0ms | w | @ | inf | ((* (+ (* -2 v) 3) 1/8) (- 3 (+ (* (/ (* (* r w) (* r w)) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (* (* r w) (* r w)) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ 2 (* r r)) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (* r r) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -3/8 (* (* r w) (* r w))) (- (/ 2 (* r r)) 3/2)) (* r w) (- (/ 2 (* r r)) 3/2) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) (+ 3 (/ 2 (* r r))) (* 1/8 (+ (* v -2) 3)) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* w (* 1/8 (+ (* v -2) 3))) w) r) (/ r (- 1 v)))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (* (* (* w (* 1/8 (+ (* v -2) 3))) w) r) (/ r (- 1 v)))) (/ (* (* r w) (* r w)) (- 1 v)) (* (* r w) (* r w)) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (* (* (* 3/8 r) r) w) (* (* (* (* 3/8 r) r) w) w) (* (* (* (* w (* 1/8 (+ (* v -2) 3))) w) r) (/ r (- 1 v))) (* (* (* w (* 1/8 (+ (* v -2) 3))) w) r)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 323 | 13395 |
| 1 | 1084 | 12680 |
| 2 | 3692 | 11747 |
| 0 | 8802 | 11044 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-3/2 |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
-3/2 |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
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(* (pow r 2) (pow w 2)) |
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(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
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(* 3/8 (* (pow r 2) (pow w 2))) |
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(* 3/8 (* (pow r 2) (pow w 2))) |
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(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
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(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
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(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
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(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
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(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(/ 2 (pow r 2)) |
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(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
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(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
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(* r w) |
(* r w) |
(* r w) |
(* r w) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
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(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
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(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
3 |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
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(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
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(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
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(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
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(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
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(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
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(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
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(* (pow r 2) (- (+ (* -3/8 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
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(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
3 |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
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(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
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(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
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(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
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(* 3/8 (* (pow r 2) w)) |
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-3/2 |
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(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
-3/2 |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
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(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
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(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
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(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
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(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
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(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
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(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
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(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -3/8 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* r w) |
(* r w) |
(* r w) |
(* r w) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
3/8 |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
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(* -1 (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(* -1 (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
3/8 |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(* (pow r 2) (pow w 2)) |
(+ (* (pow r 2) (* v (pow w 2))) (* (pow r 2) (pow w 2))) |
(+ (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2))) |
(+ (* v (- (* v (- (* (pow r 2) (* v (pow w 2))) (* -1 (* (pow r 2) (pow w 2))))) (* -1 (* (pow r 2) (pow w 2))))) (* (pow r 2) (pow w 2))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
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(* -1/4 (* r (* v (pow w 2)))) |
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(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
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(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(* -1 (/ (* (pow r 2) (pow w 2)) v)) |
(* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) (pow w 2)) v) (* -1 (* (pow r 2) (pow w 2)))) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(* -1/4 (* r (* v (pow w 2)))) |
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) |
| Outputs |
|---|
-3/2 |
#s(literal -3/2 binary64) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(pow r 2) |
(*.f64 r r) |
(pow r 2) |
(*.f64 r r) |
(pow r 2) |
(*.f64 r r) |
(pow r 2) |
(*.f64 r r) |
-3/2 |
#s(literal -3/2 binary64) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)) r) r #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)) r) r #s(literal 2 binary64)) (*.f64 r r)) |
(* r w) |
(*.f64 w r) |
(* r w) |
(*.f64 w r) |
(* r w) |
(*.f64 w r) |
(* r w) |
(*.f64 w r) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 #s(literal 1 binary64) v)) |
(* (pow r 2) (pow w 2)) |
(*.f64 (*.f64 (*.f64 w r) w) r) |
(* (pow r 2) (pow w 2)) |
(*.f64 (*.f64 (*.f64 w r) w) r) |
(* (pow r 2) (pow w 2)) |
(*.f64 (*.f64 (*.f64 w r) w) r) |
(* (pow r 2) (pow w 2)) |
(*.f64 (*.f64 (*.f64 w r) w) r) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))) |
(* 3/8 (* (pow r 2) w)) |
(*.f64 (*.f64 (*.f64 w r) r) #s(literal 3/8 binary64)) |
(* 3/8 (* (pow r 2) w)) |
(*.f64 (*.f64 (*.f64 w r) r) #s(literal 3/8 binary64)) |
(* 3/8 (* (pow r 2) w)) |
(*.f64 (*.f64 (*.f64 w r) r) #s(literal 3/8 binary64)) |
(* 3/8 (* (pow r 2) w)) |
(*.f64 (*.f64 (*.f64 w r) r) #s(literal 3/8 binary64)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 3/8 binary64)) w) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 3/8 binary64)) w) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 3/8 binary64)) w) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 3/8 binary64)) w) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 w r) w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 w r) w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
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#s(literal 3/8 binary64) |
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#s(literal 3/8 binary64) |
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(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r r) (-.f64 (*.f64 (neg.f64 w) w) (*.f64 (/.f64 w v) (+.f64 (/.f64 w v) w))))) v)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) |
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) |
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) (*.f64 r r) (fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) |
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) (*.f64 r r) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r r) (-.f64 (*.f64 (neg.f64 w) w) (*.f64 (/.f64 w v) (+.f64 (/.f64 w v) w))))) v))) |
(* -1/4 v) |
(*.f64 #s(literal -1/4 binary64) v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1 binary64) #s(literal -1/4 binary64)) v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1 binary64) #s(literal -1/4 binary64)) v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) v) #s(literal -1 binary64) #s(literal -1/4 binary64)) v) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r r) (-.f64 (*.f64 (neg.f64 w) w) (*.f64 (/.f64 w v) (+.f64 (/.f64 w v) w))))) v)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) (*.f64 r r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) |
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) |
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) (*.f64 r r) (fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) |
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) (*.f64 r r) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r r) (-.f64 (*.f64 (neg.f64 w) w) (*.f64 (/.f64 w v) (+.f64 (/.f64 w v) w))))) v))) |
(* -1 (/ (* (pow r 2) (pow w 2)) v)) |
(*.f64 (neg.f64 r) (/.f64 (*.f64 (*.f64 w r) w) v)) |
(* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v)) |
(*.f64 (*.f64 (neg.f64 r) r) (*.f64 (/.f64 w v) (+.f64 (/.f64 w v) w))) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(/.f64 (*.f64 (*.f64 r r) (-.f64 (*.f64 (neg.f64 w) w) (*.f64 (/.f64 w v) (+.f64 (/.f64 w v) w)))) v) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) (pow w 2)) v) (* -1 (* (pow r 2) (pow w 2)))) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 r r) v) (*.f64 w (+.f64 (/.f64 w v) w)) (*.f64 (*.f64 r r) (*.f64 w (+.f64 w (/.f64 w (pow.f64 v #s(literal 3 binary64)))))))) v) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) #s(literal -1/8 binary64))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (*.f64 (/.f64 (*.f64 r r) v) (*.f64 w (+.f64 (/.f64 w v) w))) #s(literal -1/8 binary64))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r r) (-.f64 (*.f64 (neg.f64 w) w) (*.f64 (/.f64 w v) (+.f64 (/.f64 w v) w))))) v)) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) #s(literal -1/8 binary64))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (*.f64 (/.f64 (*.f64 r r) v) (*.f64 w (+.f64 (/.f64 w v) w))) #s(literal -1/8 binary64))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r r) (-.f64 (*.f64 (neg.f64 w) w) (*.f64 (/.f64 w v) (+.f64 (/.f64 w v) w))))) v)) |
(* -1/4 (* r (* v (pow w 2)))) |
(*.f64 (*.f64 (*.f64 (*.f64 w r) w) v) #s(literal -1/4 binary64)) |
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) |
(*.f64 (*.f64 (*.f64 (*.f64 w r) w) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v) |
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) |
(*.f64 (*.f64 (*.f64 (*.f64 w r) w) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v) |
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) |
(*.f64 (*.f64 (*.f64 (*.f64 w r) w) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 73 | 417 |
| 0 | 108 | 386 |
| 1 | 522 | 358 |
| 2 | 3640 | 358 |
| 0 | 8869 | 333 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) |
(*.f64 r r) |
#s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(*.f64 r w) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) |
(+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) |
(/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 (*.f64 r w) (*.f64 r w)) |
#s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w)) |
(*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w) |
(*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) |
| Outputs |
|---|
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Compiled 59 032 to 3 694 computations (93.7% saved)
25 alts after pruning (22 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 880 | 10 | 1 890 |
| Fresh | 4 | 12 | 16 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 888 | 25 | 1 913 |
| Status | Accuracy | Program |
|---|---|---|
| 72.2% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 #s(approx (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (*.f64 (*.f64 (*.f64 v (*.f64 w w)) r) #s(literal -1/4 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) | |
| 90.8% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 3/8 binary64)) w))) #s(literal 9/2 binary64)) | |
| 85.6% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 w #s(literal 3/8 binary64)) (*.f64 r r)) w))) #s(literal 9/2 binary64)) | |
| ▶ | 51.9% | (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
| 50.4% | (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) | |
| ▶ | 41.2% | (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) |
| ▶ | 48.0% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
| ▶ | 96.4% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
| 80.1% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) | |
| ▶ | 86.1% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w #s(literal -3/2 binary64)))) |
| 77.9% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) (*.f64 r r) #s(literal -3/2 binary64)))) | |
| ✓ | 56.7% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) |
| 82.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) | |
| ✓ | 81.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
| 90.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w r) r) w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) | |
| 81.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) | |
| 47.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) | |
| 45.5% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) | |
| ✓ | 45.5% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| 45.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64))) | |
| 54.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 1/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 w w)))) (*.f64 w w))) | |
| 35.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))) | |
| 62.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) r) r (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) w) w)) (*.f64 w w) #s(literal -3/2 binary64)))) | |
| 39.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) | |
| 34.2% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
Compiled 807 to 672 computations (16.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) | |
| cost-diff | 0 | (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) | |
| cost-diff | 128 | (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) | |
| cost-diff | 320 | (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) | |
| cost-diff | 0 | #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w #s(literal -3/2 binary64))) | |
| cost-diff | 0 | (*.f64 r r) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w #s(literal -3/2 binary64)))) | |
| cost-diff | 0 | #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w)) | |
| cost-diff | 0 | #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) | |
| cost-diff | 0 | (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) | |
| cost-diff | 0 | (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) | |
| cost-diff | 0 | (*.f64 r r) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| cost-diff | 0 | #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) | |
| cost-diff | 0 | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) | |
| cost-diff | 192 | (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) | |
| cost-diff | 320 | (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 584 |
| 0 | 106 | 582 |
| 1 | 221 | 540 |
| 2 | 591 | 523 |
| 3 | 2464 | 523 |
| 4 | 7742 | 523 |
| 0 | 8357 | 496 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) |
#s(literal 3 binary64) |
(fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) |
(*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 w r) r) |
(*.f64 w r) |
w |
(/.f64 w (-.f64 #s(literal 1 binary64) v)) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
v |
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) |
#s(literal -2 binary64) |
#s(literal 1/8 binary64) |
#s(literal 9/2 binary64) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(literal 9/2 binary64) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) |
#s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w)) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w) |
(*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) |
(*.f64 (*.f64 #s(literal 3/8 binary64) r) r) |
(*.f64 #s(literal 3/8 binary64) r) |
#s(literal 3/8 binary64) |
r |
w |
#s(literal 9/2 binary64) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w #s(literal -3/2 binary64)))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w #s(literal -3/2 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) |
(*.f64 (*.f64 #s(literal -1/4 binary64) r) r) |
(*.f64 #s(literal -1/4 binary64) r) |
#s(literal -1/4 binary64) |
w |
#s(literal -3/2 binary64) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) |
#s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) |
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) |
#s(literal -2 binary64) |
v |
#s(literal 1/8 binary64) |
w |
(*.f64 w r) |
r |
(/.f64 r (-.f64 #s(literal 1 binary64) v)) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 9/2 binary64) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (+.f64 #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
(-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
#s(literal 3 binary64) |
(fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
(*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 (*.f64 w r) r) |
(*.f64 w r) |
w |
(/.f64 w (-.f64 #s(literal 1 binary64) v)) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
v |
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) |
#s(literal -2 binary64) |
#s(literal 1/8 binary64) |
#s(literal 9/2 binary64) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(literal 9/2 binary64) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(literal 9/2 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 #s(literal 3/8 binary64) (pow.f64 (*.f64 w r) #s(literal 2 binary64))))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 #s(literal 3/8 binary64) (pow.f64 (*.f64 w r) #s(literal 2 binary64))))) |
#s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w)) |
#s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 #s(literal 3/8 binary64) (pow.f64 (*.f64 w r) #s(literal 2 binary64)))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w) |
(*.f64 #s(literal 3/8 binary64) (pow.f64 (*.f64 w r) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) |
(*.f64 (*.f64 #s(literal 3/8 binary64) r) r) |
(*.f64 #s(literal 3/8 binary64) r) |
#s(literal 3/8 binary64) |
r |
w |
#s(literal 9/2 binary64) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w #s(literal -3/2 binary64)))) |
(+.f64 #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 w r) #s(literal 2 binary64)) #s(literal -3/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
r |
#s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w #s(literal -3/2 binary64))) |
#s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 w r) #s(literal 2 binary64)) #s(literal -3/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w #s(literal -3/2 binary64)) |
(fma.f64 #s(literal -1/4 binary64) (pow.f64 (*.f64 w r) #s(literal 2 binary64)) #s(literal -3/2 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) |
(*.f64 (*.f64 #s(literal -1/4 binary64) r) r) |
(*.f64 #s(literal -1/4 binary64) r) |
#s(literal -1/4 binary64) |
w |
#s(literal -3/2 binary64) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(literal 9/2 binary64))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) |
(fma.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))) |
#s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) r) w) w) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) |
(*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w) |
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) |
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) |
#s(literal -2 binary64) |
v |
#s(literal 1/8 binary64) |
w |
(*.f64 w r) |
r |
(/.f64 r (-.f64 #s(literal 1 binary64) v)) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 9/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.20768220135958138 | (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) | |
| accuracy | 1.3793276116375235 | (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) | |
| accuracy | 6.760847400005744 | (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) | |
| accuracy | 31.220600637142038 | #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) | |
| accuracy | 0.6225323981074181 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 1.249083693537285 | (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w #s(literal -3/2 binary64)) | |
| accuracy | 7.113063950747515 | #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w #s(literal -3/2 binary64))) | |
| accuracy | 8.372318917928906 | (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) | |
| accuracy | 1.8205435674064483 | (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w) | |
| accuracy | 8.364077162605437 | (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) | |
| accuracy | 12.605358395449473 | #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w)) | |
| accuracy | 31.220600637142038 | #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) | |
| accuracy | 0 | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) | |
| accuracy | 0 | (*.f64 r r) | |
| accuracy | 0.6225323981074181 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 34.62388385448133 | #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) | |
| accuracy | 0.140625 | (*.f64 (*.f64 w r) r) | |
| accuracy | 0.20768220135958138 | (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) | |
| accuracy | 0.6225323981074181 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 4.079461245465451 | (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) |
| 112.0ms | 240× | 0 | valid |
| 6.0ms | 7× | 2 | valid |
| 6.0ms | 9× | 1 | valid |
Compiled 531 to 60 computations (88.7% saved)
ival-mult: 39.0ms (52.4% of total)ival-sub: 12.0ms (16.1% of total)ival-div: 8.0ms (10.8% of total)ival-add: 8.0ms (10.8% of total)ival-pow2: 3.0ms (4% of total)adjust: 2.0ms (2.7% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (patch (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) (patch (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) (patch (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ()) |
#s(alt (*.f64 r r) (patch (*.f64 r r) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) (patch (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (patch #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w)) (patch #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w)) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w #s(literal -3/2 binary64)))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w #s(literal -3/2 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w #s(literal -3/2 binary64))) (patch #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w #s(literal -3/2 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (patch (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 w r) r) (patch (*.f64 (*.f64 w r) r) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) (patch (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w) (patch (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) (patch (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w #s(literal -3/2 binary64)) (patch (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w #s(literal -3/2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (patch (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt -3/2 (taylor 0 r) (#s(alt (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) (patch (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) (taylor 0 r) (#s(alt (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) (patch (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) (taylor 0 r) (#s(alt (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) (patch (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) (taylor 0 r) (#s(alt (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) (patch (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) (patch (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (/.f64 #s(literal 2 binary64) (*.f64 r r)) (patch (/.f64 #s(literal 2 binary64) (*.f64 r r)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) (patch (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) (patch (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) (patch (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) (taylor -inf v) (#s(alt (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) (taylor -inf v) (#s(alt (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* (pow r 2) (pow w 2)) v)) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v)) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) (pow w 2)) v) (* -1 (* (pow r 2) (pow w 2)))) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/4 (* (pow r 2) (pow w 2))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/4 (* r (* v (pow w 2)))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (patch (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (patch (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (patch (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) (taylor -inf v) (#s(alt (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (patch (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | r | @ | inf | ((* (+ (* -2 v) 3) 1/8) (- 3 (+ (* (* (* (* w r) r) (/ w (- 1 v))) (* (+ (* -2 v) 3) 1/8)) 9/2)) (+ (/ 2 (* r r)) (- 3 (+ (* (* (* (* w r) r) (/ w (- 1 v))) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ 2 (* r r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (* r r) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) 9/2) (* (* (* w r) r) (/ w (- 1 v))) (* (* w r) r) (* (* (* 3/8 r) r) w) (* (* (* (* 3/8 r) r) w) w) (* (* (* -1/4 r) r) w) (+ (* (* (* (* -1/4 r) r) w) w) -3/2) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r))) |
| 6.0ms | w | @ | -inf | ((* (+ (* -2 v) 3) 1/8) (- 3 (+ (* (* (* (* w r) r) (/ w (- 1 v))) (* (+ (* -2 v) 3) 1/8)) 9/2)) (+ (/ 2 (* r r)) (- 3 (+ (* (* (* (* w r) r) (/ w (- 1 v))) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ 2 (* r r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (* r r) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) 9/2) (* (* (* w r) r) (/ w (- 1 v))) (* (* w r) r) (* (* (* 3/8 r) r) w) (* (* (* (* 3/8 r) r) w) w) (* (* (* -1/4 r) r) w) (+ (* (* (* (* -1/4 r) r) w) w) -3/2) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r))) |
| 4.0ms | r | @ | 0 | ((* (+ (* -2 v) 3) 1/8) (- 3 (+ (* (* (* (* w r) r) (/ w (- 1 v))) (* (+ (* -2 v) 3) 1/8)) 9/2)) (+ (/ 2 (* r r)) (- 3 (+ (* (* (* (* w r) r) (/ w (- 1 v))) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ 2 (* r r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (* r r) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) 9/2) (* (* (* w r) r) (/ w (- 1 v))) (* (* w r) r) (* (* (* 3/8 r) r) w) (* (* (* (* 3/8 r) r) w) w) (* (* (* -1/4 r) r) w) (+ (* (* (* (* -1/4 r) r) w) w) -3/2) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r))) |
| 3.0ms | w | @ | inf | ((* (+ (* -2 v) 3) 1/8) (- 3 (+ (* (* (* (* w r) r) (/ w (- 1 v))) (* (+ (* -2 v) 3) 1/8)) 9/2)) (+ (/ 2 (* r r)) (- 3 (+ (* (* (* (* w r) r) (/ w (- 1 v))) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ 2 (* r r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (* r r) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) 9/2) (* (* (* w r) r) (/ w (- 1 v))) (* (* w r) r) (* (* (* 3/8 r) r) w) (* (* (* (* 3/8 r) r) w) w) (* (* (* -1/4 r) r) w) (+ (* (* (* (* -1/4 r) r) w) w) -3/2) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r))) |
| 3.0ms | r | @ | -inf | ((* (+ (* -2 v) 3) 1/8) (- 3 (+ (* (* (* (* w r) r) (/ w (- 1 v))) (* (+ (* -2 v) 3) 1/8)) 9/2)) (+ (/ 2 (* r r)) (- 3 (+ (* (* (* (* w r) r) (/ w (- 1 v))) (* (+ (* -2 v) 3) 1/8)) 9/2))) (/ 2 (* r r)) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (* r r) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (+ (/ 2 (* r r)) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) (- (- (+ 3 (/ 2 (* r r))) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v)))) 9/2) (* (* (* w r) r) (/ w (- 1 v))) (* (* w r) r) (* (* (* 3/8 r) r) w) (* (* (* (* 3/8 r) r) w) w) (* (* (* -1/4 r) r) w) (+ (* (* (* (* -1/4 r) r) w) w) -3/2) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 325 | 14184 |
| 1 | 1099 | 13415 |
| 2 | 3664 | 12485 |
| 0 | 8682 | 11742 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-3/2 |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
-3/2 |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
-3/2 |
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2) |
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2) |
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
3 |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (- 3 (* 2 v))) (- 1 v))))) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(pow r 2) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
3 |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow r 2) (- (* 3 (/ 1 (pow r 2))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow r 2) (- (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))) (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(* (pow r 2) (- (/ 2 (pow r 4)) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow r 2)))))) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (* -1/4 (pow w 2)) (* 3/2 (/ 1 (pow r 2))))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
-3/2 |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
-3/2 |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(+ 3 (* 2 (/ 1 (pow r 2)))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2))))) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
-3/2 |
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2) |
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2) |
(- (* -1/4 (* (pow r 2) (pow w 2))) 3/2) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
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(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (- 3 (* 2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1 (* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* (pow w 2) (- (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))) (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))))) |
(* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(* (pow w 2) (- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))))) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* (pow r 2) w) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) w)) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) w)) |
(* -1/4 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (* -1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
3/8 |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(+ 3/8 (* -1/4 v)) |
(* -1 (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 2 (/ 1 (pow r 2))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 2 (/ 1 (pow r 2))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(* 3/8 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))) |
(+ (* 3/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2))))) (* v (+ (* 1/8 (* v (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))) (* 1/8 (- (* -2 (* (pow r 2) (pow w 2))) (* -3 (* (pow r 2) (pow w 2)))))))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 3/8 (* (pow r 2) (pow w 2))))) |
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(* (pow r 2) (pow w 2)) |
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(* 3/8 (* (pow r 2) (pow w 2))) |
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(* v (- (* 3/8 (/ 1 v)) 1/4)) |
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(* 1/4 (* (pow r 2) (pow w 2))) |
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(- (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
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(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))))) |
(* -1 (/ (* (pow r 2) (pow w 2)) v)) |
(/ (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) v))) v) |
(/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 2)))) (/ (* (pow r 2) (pow w 2)) v)) v) |
(/ (- (+ (* -1 (* (pow r 2) (pow w 2))) (* -1 (/ (* (pow r 2) (pow w 2)) (pow v 3)))) (+ (/ (* (pow r 2) (pow w 2)) v) (/ (* (pow r 2) (pow w 2)) (pow v 2)))) v) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (* 1/4 (* (pow r 2) (pow w 2))))) |
(+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) v)) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 2))) (+ (* 1/8 (/ (- (* -3 (* (pow r 2) (pow w 2))) (* -2 (* (pow r 2) (pow w 2)))) (pow v 3))) (* 1/4 (* (pow r 2) (pow w 2)))))) |
(* -1/4 (* r (* v (pow w 2)))) |
(* v (+ (* -1/4 (* r (pow w 2))) (* 3/8 (/ (* r (pow w 2)) v)))) |
(* v (+ (* -1/4 (* r (pow w 2))) (* 3/8 (/ (* r (pow w 2)) v)))) |
(* v (+ (* -1/4 (* r (pow w 2))) (* 3/8 (/ (* r (pow w 2)) v)))) |
(* -1/4 v) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (* v (- 1/4 (* 3/8 (/ 1 v))))) |
(* -1 (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
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(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(* -1 (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(* -1 (/ (* (pow r 2) (pow w 2)) v)) |
(* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) (pow w 2)) v) (* -1 (* (pow r 2) (pow w 2)))) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(* -1/4 (* r (* v (pow w 2)))) |
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) |
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) |
| Outputs |
|---|
-3/2 |
#s(literal -3/2 binary64) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (- 3 (* 2 v)))) (- 1 v)))))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(pow r 2) |
(*.f64 r r) |
(pow r 2) |
(*.f64 r r) |
(pow r 2) |
(*.f64 r r) |
(pow r 2) |
(*.f64 r r) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))) |
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v))) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
-3/2 |
#s(literal -3/2 binary64) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal 3 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal 3 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (pow r 2)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/.f64 (/.f64 (fma.f64 (*.f64 r r) #s(literal -3/2 binary64) #s(literal 2 binary64)) r) r) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
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(- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 w r) (*.f64 w r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) |
(- (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64))) |
(- (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(-.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r r) (-.f64 (*.f64 (neg.f64 w) w) (*.f64 (/.f64 w v) (+.f64 (/.f64 w v) w))))) v)) |
(- (+ 3 (* 2 (/ 1 (pow r 2)))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r r))) w (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) |
(- (+ 3 (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 w r) (*.f64 w r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) |
(- (+ 3 (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) (fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) |
(- (+ 3 (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2))))) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r r) (-.f64 (*.f64 (neg.f64 w) w) (*.f64 (/.f64 w v) (+.f64 (/.f64 w v) w))))) v))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64))) |
(- (+ (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(+.f64 (fma.f64 (*.f64 (*.f64 w r) (*.f64 w r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/8 binary64)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r r) (-.f64 (*.f64 (neg.f64 w) w) (*.f64 (/.f64 w v) (+.f64 (/.f64 w v) w))))) v)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64))) |
(* -1 (/ (* (pow r 2) (pow w 2)) v)) |
(*.f64 (neg.f64 r) (/.f64 (*.f64 (*.f64 w w) r) v)) |
(* -1 (/ (+ (* (pow r 2) (pow w 2)) (/ (* (pow r 2) (pow w 2)) v)) v)) |
(*.f64 (*.f64 (neg.f64 r) r) (*.f64 (/.f64 w v) (+.f64 (/.f64 w v) w))) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) (pow w 2)) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(/.f64 (*.f64 (*.f64 r r) (-.f64 (*.f64 (neg.f64 w) w) (*.f64 (/.f64 w v) (+.f64 (/.f64 w v) w)))) v) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) (pow w 2)) v) (* -1 (* (pow r 2) (pow w 2)))) v)) (* (pow r 2) (pow w 2))) v)) (* (pow r 2) (pow w 2))) v)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 r r) v) (*.f64 w (+.f64 (/.f64 w v) w)) (*.f64 (*.f64 r r) (*.f64 w (+.f64 w (/.f64 w (pow.f64 v #s(literal 3 binary64)))))))) v) |
(* 1/4 (* (pow r 2) (pow w 2))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w) |
(+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) #s(literal -1/8 binary64))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (*.f64 (*.f64 (/.f64 (*.f64 r r) v) (*.f64 w (+.f64 (/.f64 w v) w))) #s(literal -1/8 binary64))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (- (* 2 (* (pow r 2) (pow w 2))) (* 3 (* (pow r 2) (pow w 2)))))) v)) (* 1/8 (- (* 3 (* (pow r 2) (pow w 2))) (* 2 (* (pow r 2) (pow w 2)))))) v)) (* 1/4 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r r) (-.f64 (*.f64 (neg.f64 w) w) (*.f64 (/.f64 w v) (+.f64 (/.f64 w v) w))))) v)) |
(* -1/4 (* r (* v (pow w 2)))) |
(*.f64 (*.f64 (*.f64 (*.f64 w w) r) v) #s(literal -1/4 binary64)) |
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) |
(*.f64 (*.f64 (*.f64 (*.f64 w w) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v) |
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) |
(*.f64 (*.f64 (*.f64 (*.f64 w w) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v) |
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) |
(*.f64 (*.f64 (*.f64 (*.f64 w w) r) (-.f64 (/.f64 #s(literal 3/8 binary64) v) #s(literal 1/4 binary64))) v) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 450 |
| 0 | 106 | 432 |
| 1 | 461 | 408 |
| 2 | 3935 | 408 |
| 0 | 8965 | 393 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(*.f64 r r) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) |
#s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) |
#s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w #s(literal -3/2 binary64)))) |
#s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w #s(literal -3/2 binary64))) |
(-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 w r) r) |
(*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w) |
(*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) |
(fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w #s(literal -3/2 binary64)) |
(*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) |
| Outputs |
|---|
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Compiled 40 230 to 2 691 computations (93.3% saved)
26 alts after pruning (23 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 363 | 14 | 1 377 |
| Fresh | 8 | 9 | 17 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 376 | 26 | 1 402 |
| Status | Accuracy | Program |
|---|---|---|
| 50.4% | (-.f64 (fma.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) (neg.f64 r)) #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))) #s(literal 9/2 binary64)) | |
| 38.3% | (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (* (+ (* -2 v) 3) 1/8) (*.f64 #s(literal -1/4 binary64) v)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) | |
| 34.2% | (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 w r) (*.f64 w r)) (fma.f64 #s(literal 1/8 binary64) v #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)) | |
| 41.6% | (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) | |
| 47.7% | (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 w (*.f64 #s(literal 3/8 binary64) r)) (*.f64 r w)))) #s(literal 9/2 binary64)) | |
| 46.5% | (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 r w))) w))) #s(literal 9/2 binary64)) | |
| 46.5% | (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r w) r)) w))) #s(literal 9/2 binary64)) | |
| 41.2% | (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 r r))) w))) #s(literal 9/2 binary64)) | |
| 44.4% | (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 r (*.f64 (*.f64 #s(literal 3/8 binary64) r) (*.f64 w w))))) #s(literal 9/2 binary64)) | |
| ✓ | 48.0% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
| 83.9% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) #s(approx (* (+ (* -2 v) 3) 1/8) (*.f64 #s(literal -1/4 binary64) v)) #s(literal 9/2 binary64)))) | |
| 91.8% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) w) r) w #s(literal -3/2 binary64)))) | |
| 92.6% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) (*.f64 r w) #s(literal -3/2 binary64)))) | |
| 82.7% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64)))) | |
| 78.3% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(approx (+ (* (* (* (* -1/4 r) r) w) w) -3/2) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r r))) w)))) | |
| ✓ | 56.7% | (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) |
| 81.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) | |
| 47.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) | |
| 45.5% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) | |
| ✓ | 45.5% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| 45.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64))) | |
| 54.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 1/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 w w)))) (*.f64 w w))) | |
| 35.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))) | |
| 62.9% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) r) r (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) w) w)) (*.f64 w w) #s(literal -3/2 binary64)))) | |
| 39.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) | |
| 34.2% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
Compiled 1 627 to 669 computations (58.9% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 r (*.f64 (*.f64 #s(literal 3/8 binary64) r) (*.f64 w w))))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 r r))) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r w) r)) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 r w))) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 w (*.f64 #s(literal 3/8 binary64) r)) (*.f64 r w)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 w r) (*.f64 w r)) (fma.f64 #s(literal 1/8 binary64) v #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(approx (+ (* (* (* (* -1/4 r) r) w) w) -3/2) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r r))) w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 r w) r) w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w r) r) w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) (*.f64 r r) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) (*.f64 r w) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) w) r) w #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (* (+ (* -2 v) 3) 1/8) (*.f64 #s(literal -1/4 binary64) v)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 w #s(literal 3/8 binary64)) (*.f64 r r)) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 3/8 binary64)) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) (neg.f64 r)) #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (/ (pow (* w r) 2) (- 1 v)) (*.f64 (*.f64 (*.f64 r r) w) w)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) r) r (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) w) w)) (*.f64 w w) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) #s(approx (* (+ (* -2 v) 3) 1/8) (*.f64 #s(literal -1/4 binary64) v)) #s(literal 9/2 binary64)))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 #s(approx (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (*.f64 (*.f64 (*.f64 v (*.f64 w w)) r) #s(literal -1/4 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) r) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 w (*.f64 w (*.f64 r r)))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 1/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 w w)))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64))) |
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(approx (neg (/ (pow (* w r) 2) (- 1 v))) (*.f64 (*.f64 (neg.f64 w) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 r r))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 r r) #s(literal -3/2 binary64))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 w w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(-.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 r #s(literal -4 binary64)) #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) v) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))))) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Outputs |
|---|
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
6 calls:
| 20.0ms | w |
| 19.0ms | v |
| 18.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 16.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 16.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | v |
| 99.8% | 1 | w |
| 99.8% | 1 | r |
| 99.8% | 1 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 99.8% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 99.8% | 1 | (*.f64 w w) |
Compiled 62 to 55 computations (11.3% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 r (*.f64 (*.f64 #s(literal 3/8 binary64) r) (*.f64 w w))))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 r r))) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r w) r)) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 r w))) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 w (*.f64 #s(literal 3/8 binary64) r)) (*.f64 r w)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 w r) (*.f64 w r)) (fma.f64 #s(literal 1/8 binary64) v #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(approx (+ (* (* (* (* -1/4 r) r) w) w) -3/2) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r r))) w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 r w) r) w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w r) r) w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) (*.f64 r r) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) (*.f64 r w) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) w) r) w #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (* (+ (* -2 v) 3) 1/8) (*.f64 #s(literal -1/4 binary64) v)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 w #s(literal 3/8 binary64)) (*.f64 r r)) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 3/8 binary64)) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) (neg.f64 r)) #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (/ (pow (* w r) 2) (- 1 v)) (*.f64 (*.f64 (*.f64 r r) w) w)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) r) r (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) w) w)) (*.f64 w w) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) #s(approx (* (+ (* -2 v) 3) 1/8) (*.f64 #s(literal -1/4 binary64) v)) #s(literal 9/2 binary64)))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 #s(approx (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (*.f64 (*.f64 (*.f64 v (*.f64 w w)) r) #s(literal -1/4 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) r) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 w (*.f64 w (*.f64 r r)))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 1/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 w w)))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64))) |
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(approx (neg (/ (pow (* w r) 2) (- 1 v))) (*.f64 (*.f64 (neg.f64 w) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 r r))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 r r) #s(literal -3/2 binary64))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 w w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
| Outputs |
|---|
(fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
6 calls:
| 46.0ms | r |
| 19.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 18.0ms | w |
| 18.0ms | v |
| 14.0ms | (*.f64 w w) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 1 | v |
| 99.8% | 1 | w |
| 99.8% | 1 | r |
| 99.8% | 1 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 99.8% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 99.8% | 1 | (*.f64 w w) |
Compiled 62 to 55 computations (11.3% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 r (*.f64 (*.f64 #s(literal 3/8 binary64) r) (*.f64 w w))))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 r r))) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r w) r)) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 r w))) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 w (*.f64 #s(literal 3/8 binary64) r)) (*.f64 r w)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 w r) (*.f64 w r)) (fma.f64 #s(literal 1/8 binary64) v #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(approx (+ (* (* (* (* -1/4 r) r) w) w) -3/2) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r r))) w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 r w) r) w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w r) r) w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) (*.f64 r r) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) (*.f64 r w) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) w) r) w #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (* (+ (* -2 v) 3) 1/8) (*.f64 #s(literal -1/4 binary64) v)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 w #s(literal 3/8 binary64)) (*.f64 r r)) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 3/8 binary64)) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) (neg.f64 r)) #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (/ (pow (* w r) 2) (- 1 v)) (*.f64 (*.f64 (*.f64 r r) w) w)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) r) r (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) w) w)) (*.f64 w w) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) #s(approx (* (+ (* -2 v) 3) 1/8) (*.f64 #s(literal -1/4 binary64) v)) #s(literal 9/2 binary64)))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 #s(approx (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (*.f64 (*.f64 (*.f64 v (*.f64 w w)) r) #s(literal -1/4 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) r) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 w (*.f64 w (*.f64 r r)))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 1/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 w w)))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64))) |
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(approx (neg (/ (pow (* w r) 2) (- 1 v))) (*.f64 (*.f64 (neg.f64 w) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 r r))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 r r) #s(literal -3/2 binary64))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) r) #s(literal -1 binary64)) (/.f64 (*.f64 (*.f64 w w) r) (-.f64 #s(literal 1 binary64) v)) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
| Outputs |
|---|
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
6 calls:
| 20.0ms | w |
| 18.0ms | (*.f64 w w) |
| 16.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 16.0ms | v |
| 15.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | v |
| 99.7% | 1 | w |
| 99.7% | 1 | r |
| 99.7% | 1 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 99.7% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 99.7% | 1 | (*.f64 w w) |
Compiled 62 to 55 computations (11.3% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 r (*.f64 (*.f64 #s(literal 3/8 binary64) r) (*.f64 w w))))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 r r))) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r w) r)) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 r w))) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 w (*.f64 #s(literal 3/8 binary64) r)) (*.f64 r w)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 w r) (*.f64 w r)) (fma.f64 #s(literal 1/8 binary64) v #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(approx (+ (* (* (* (* -1/4 r) r) w) w) -3/2) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r r))) w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 r w) r) w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w r) r) w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) (*.f64 r r) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) (*.f64 r w) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) w) r) w #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (* (+ (* -2 v) 3) 1/8) (*.f64 #s(literal -1/4 binary64) v)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 w #s(literal 3/8 binary64)) (*.f64 r r)) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 3/8 binary64)) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) (neg.f64 r)) #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (/ (pow (* w r) 2) (- 1 v)) (*.f64 (*.f64 (*.f64 r r) w) w)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) r) r (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) w) w)) (*.f64 w w) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) #s(approx (* (+ (* -2 v) 3) 1/8) (*.f64 #s(literal -1/4 binary64) v)) #s(literal 9/2 binary64)))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 #s(approx (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (*.f64 (*.f64 (*.f64 v (*.f64 w w)) r) #s(literal -1/4 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) r) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 w (*.f64 w (*.f64 r r)))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v)) #s(literal 1/8 binary64) (/.f64 #s(literal 3/2 binary64) (*.f64 w w)))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64))) |
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(approx (neg (/ (pow (* w r) 2) (- 1 v))) (*.f64 (*.f64 (neg.f64 w) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 r r))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 r #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 r r) #s(literal -3/2 binary64))) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
6 calls:
| 20.0ms | (*.f64 w w) |
| 17.0ms | w |
| 16.0ms | r |
| 15.0ms | v |
| 14.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 1 | r |
| 99.7% | 1 | v |
| 99.7% | 1 | w |
| 99.7% | 1 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 99.7% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 99.7% | 1 | (*.f64 w w) |
Compiled 62 to 55 computations (11.3% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 r (*.f64 (*.f64 #s(literal 3/8 binary64) r) (*.f64 w w))))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 r r))) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r w) r)) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 r w))) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 w (*.f64 #s(literal 3/8 binary64) r)) (*.f64 r w)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 w r) (*.f64 w r)) (fma.f64 #s(literal 1/8 binary64) v #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(approx (+ (* (* (* (* -1/4 r) r) w) w) -3/2) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r r))) w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 r w) r) w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w r) r) w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) (*.f64 r r) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) (*.f64 r w) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) w) r) w #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (* (+ (* -2 v) 3) 1/8) (*.f64 #s(literal -1/4 binary64) v)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 w #s(literal 3/8 binary64)) (*.f64 r r)) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 3/8 binary64)) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) (neg.f64 r)) #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (/ (pow (* w r) 2) (- 1 v)) (*.f64 (*.f64 (*.f64 r r) w) w)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) r) r (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) w) w)) (*.f64 w w) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) #s(approx (* (+ (* -2 v) 3) 1/8) (*.f64 #s(literal -1/4 binary64) v)) #s(literal 9/2 binary64)))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 #s(approx (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (*.f64 (*.f64 (*.f64 v (*.f64 w w)) r) #s(literal -1/4 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
6 calls:
| 15.0ms | (*.f64 w w) |
| 14.0ms | w |
| 14.0ms | v |
| 13.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 12.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 1 | v |
| 96.4% | 1 | w |
| 99.7% | 2 | r |
| 96.4% | 1 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 96.4% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 96.4% | 1 | (*.f64 w w) |
Compiled 62 to 55 computations (11.3% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 r (*.f64 (*.f64 #s(literal 3/8 binary64) r) (*.f64 w w))))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 r r))) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r w) r)) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 r w))) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 w (*.f64 #s(literal 3/8 binary64) r)) (*.f64 r w)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 w r) (*.f64 w r)) (fma.f64 #s(literal 1/8 binary64) v #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(approx (+ (* (* (* (* -1/4 r) r) w) w) -3/2) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r r))) w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 r w) r) w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w r) r) w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) (*.f64 r r) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) (*.f64 r w) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) w) r) w #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (* (+ (* -2 v) 3) 1/8) (*.f64 #s(literal -1/4 binary64) v)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 w #s(literal 3/8 binary64)) (*.f64 r r)) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 3/8 binary64)) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) (neg.f64 r)) #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 w r) w) r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 #s(approx (/ (pow (* w r) 2) (- 1 v)) (*.f64 (*.f64 (*.f64 r r) w) w)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) r) r (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) w) w)) (*.f64 w w) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) #s(approx (* (+ (* -2 v) 3) 1/8) (*.f64 #s(literal -1/4 binary64) v)) #s(literal 9/2 binary64)))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 #s(approx (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (*.f64 (*.f64 (*.f64 v (*.f64 w w)) r) #s(literal -1/4 binary64))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
| Outputs |
|---|
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 w #s(literal 3/8 binary64)) (*.f64 r r)) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
6 calls:
| 19.0ms | (*.f64 w w) |
| 15.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 13.0ms | w |
| 12.0ms | r |
| 12.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | v |
| 94.3% | 2 | w |
| 98.2% | 3 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 98.2% | 3 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 94.3% | 2 | (*.f64 w w) |
| 97.9% | 2 | r |
Compiled 62 to 55 computations (11.3% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 r (*.f64 (*.f64 #s(literal 3/8 binary64) r) (*.f64 w w))))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 r r))) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r w) r)) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 r w))) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 w (*.f64 #s(literal 3/8 binary64) r)) (*.f64 r w)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 w r) (*.f64 w r)) (fma.f64 #s(literal 1/8 binary64) v #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(approx (+ (* (* (* (* -1/4 r) r) w) w) -3/2) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r r))) w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 r w) r) w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w r) r) w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) (*.f64 r r) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) (*.f64 r w) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) w) w #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) w) r) w #s(literal -3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 #s(approx (* (+ (* -2 v) 3) 1/8) (*.f64 #s(literal -1/4 binary64) v)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 w #s(literal 3/8 binary64)) (*.f64 r r)) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 w r) r) #s(literal 3/8 binary64)) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) (*.f64 r w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) (*.f64 r w) #s(literal -3/2 binary64)))) |
2 calls:
| 277.0ms | r |
| 10.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 3 | v |
| 96.8% | 2 | r |
Compiled 2 to 6 computations (-200% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 r (*.f64 (*.f64 #s(literal 3/8 binary64) r) (*.f64 w w))))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 r r))) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r w) r)) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 r w))) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 w (*.f64 #s(literal 3/8 binary64) r)) (*.f64 r w)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 w r) (*.f64 w r)) (fma.f64 #s(literal 1/8 binary64) v #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(approx (+ (* (* (* (* -1/4 r) r) w) w) -3/2) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r r))) w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 r w) r) w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w r) r) w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64)))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w w)) (*.f64 r r) #s(literal -3/2 binary64)))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
4 calls:
| 9.0ms | r |
| 8.0ms | v |
| 6.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 6.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.1% | 1 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 92.1% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 92.1% | 1 | r |
| 94.9% | 2 | v |
Compiled 58 to 48 computations (17.2% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 r (*.f64 (*.f64 #s(literal 3/8 binary64) r) (*.f64 w w))))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 r r))) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r w) r)) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 r w))) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 w (*.f64 #s(literal 3/8 binary64) r)) (*.f64 r w)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 w r) (*.f64 w r)) (fma.f64 #s(literal 1/8 binary64) v #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(approx (+ (* (* (* (* -1/4 r) r) w) w) -3/2) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r r))) w)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 r w) r) w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w r) r) w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
4 calls:
| 8.0ms | r |
| 7.0ms | v |
| 7.0ms | w |
| 6.0ms | (*.f64 w w) |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.1% | 1 | r |
| 92.1% | 1 | w |
| 92.1% | 1 | (*.f64 w w) |
| 92.1% | 1 | v |
Compiled 6 to 13 computations (-116.7% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 r (*.f64 (*.f64 #s(literal 3/8 binary64) r) (*.f64 w w))))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 r r))) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r w) r)) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 r w))) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 w (*.f64 #s(literal 3/8 binary64) r)) (*.f64 r w)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 w r) (*.f64 w r)) (fma.f64 #s(literal 1/8 binary64) v #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(approx (+ (* (* (* (* -1/4 r) r) w) w) -3/2) (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 w (*.f64 r r))) w)))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) |
6 calls:
| 11.0ms | v |
| 6.0ms | w |
| 6.0ms | r |
| 5.0ms | (*.f64 w w) |
| 5.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.5% | 3 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 93.5% | 3 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 86.6% | 3 | v |
| 89.2% | 2 | w |
| 93.9% | 3 | r |
| 89.2% | 2 | (*.f64 w w) |
Compiled 62 to 55 computations (11.3% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 r (*.f64 (*.f64 #s(literal 3/8 binary64) r) (*.f64 w w))))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 r r))) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r w) r)) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 r w))) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 w (*.f64 #s(literal 3/8 binary64) r)) (*.f64 r w)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) r) w) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 w r) (*.f64 w r)) (fma.f64 #s(literal 1/8 binary64) v #s(literal 3/8 binary64))))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r)) |
| Outputs |
|---|
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 w (*.f64 #s(literal 3/8 binary64) r)) (*.f64 r w)))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
3 calls:
| 5.0ms | r |
| 5.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 5.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.9% | 2 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 90.9% | 2 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 88.8% | 3 | r |
Compiled 57 to 45 computations (21.1% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 r (*.f64 (*.f64 #s(literal 3/8 binary64) r) (*.f64 w w))))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 w (*.f64 r r))) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 r w) r)) w))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 r (*.f64 #s(literal 3/8 binary64) (*.f64 r w))) w))) #s(literal 9/2 binary64)) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
2 calls:
| 4.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 4.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.9% | 2 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 90.9% | 2 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
Compiled 56 to 42 computations (25% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
5 calls:
| 4.0ms | (*.f64 w w) |
| 3.0ms | r |
| 3.0ms | w |
| 2.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 2.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.2% | 2 | r |
| 68.4% | 2 | w |
| 68.4% | 2 | (*.f64 w w) |
| 87.1% | 2 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 87.1% | 2 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
Compiled 61 to 52 computations (14.8% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) #s(literal -3/2 binary64))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(literal 9/2 binary64)) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
6 calls:
| 3.0ms | w |
| 2.0ms | v |
| 2.0ms | r |
| 2.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 2.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.7% | 1 | w |
| 56.7% | 1 | (*.f64 w w) |
| 56.7% | 1 | r |
| 56.7% | 1 | v |
| 56.7% | 1 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 56.7% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
Compiled 62 to 55 computations (11.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
6 calls:
| 1.0ms | v |
| 1.0ms | w |
| 1.0ms | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 1.0ms | r |
| 1.0ms | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.5% | 1 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| 45.5% | 1 | (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) |
| 45.5% | 1 | v |
| 45.5% | 1 | r |
| 45.5% | 1 | w |
| 45.5% | 1 | (*.f64 w w) |
Compiled 62 to 55 computations (11.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 32.0ms | 3.0815208036909804e+147 | 1.6735727721150827e+149 |
| 27.0ms | 112× | 0 | valid |
Compiled 382 to 322 computations (15.7% saved)
ival-mult: 4.0ms (47.2% of total)ival-sub: 2.0ms (23.6% of total)ival-div: 1.0ms (11.8% of total)ival-add: 1.0ms (11.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.4403157822417348e+20 | 1.1460337402043922e+22 |
| 11.0ms | 112× | 0 | valid |
Compiled 333 to 287 computations (13.8% saved)
ival-mult: 4.0ms (47% of total)ival-sub: 2.0ms (23.5% of total)ival-div: 1.0ms (11.8% of total)ival-add: 1.0ms (11.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 0.0005141033221329244 | 0.7660658175864816 |
| 39.0ms | -3.162092137616795e+78 | -1.6890072974267137e+74 |
| 30.0ms | 256× | 0 | valid |
Compiled 576 to 492 computations (14.6% saved)
ival-mult: 14.0ms (59.8% of total)ival-sub: 4.0ms (17.1% of total)ival-div: 3.0ms (12.8% of total)ival-add: 1.0ms (4.3% of total)exact: 1.0ms (4.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 5.181456930114076e+127 | 1.0766067908057112e+131 |
| 16.0ms | 128× | 0 | valid |
Compiled 304 to 260 computations (14.5% saved)
ival-mult: 5.0ms (40.8% of total)ival-div: 4.0ms (32.6% of total)ival-sub: 2.0ms (16.3% of total)ival-add: 1.0ms (8.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 5.0ms | 1.1247378599177613e+154 | 1.2906040844617104e+154 |
| 26.0ms | 1.6313883439437206e-12 | 64960.42732533594 |
| 23.0ms | 192× | 0 | valid |
Compiled 396 to 360 computations (9.1% saved)
ival-mult: 8.0ms (54.6% of total)ival-sub: 3.0ms (20.5% of total)ival-div: 2.0ms (13.6% of total)ival-add: 1.0ms (6.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0 | 3.0000000004739498 |
Compiled 32 to 28 computations (12.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0 | 3.0000000004739498 |
Compiled 32 to 28 computations (12.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1443.393522879909 | 3.0 |
Compiled 32 to 28 computations (12.5% saved)
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 162 | 1076 |
| 1 | 244 | 1076 |
| 2 | 324 | 1076 |
| 3 | 399 | 1075 |
| 4 | 480 | 1075 |
| 5 | 658 | 1075 |
| 6 | 895 | 1075 |
| 7 | 1077 | 1075 |
| 8 | 1282 | 1075 |
| 9 | 1299 | 1075 |
| 10 | 1300 | 1075 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
(if (<=.f64 r #s(literal 13500000000000000945107185442503469445054677003916813729949228575450888855967803263113847564134296060500405558264281533460581346849670655717834489856 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))) |
(if (<=.f64 r #s(literal 180000000000000000000 binary64)) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 w #s(literal 3/8 binary64)) (*.f64 r r)) w))) #s(literal 9/2 binary64)) (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))) |
(if (<=.f64 v #s(literal -169999999999999995546453021296755194706307008289722553445664860276625768448 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) (*.f64 r w) #s(literal -3/2 binary64)))) (if (<=.f64 v #s(literal 3/4 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) (*.f64 r w) #s(literal -3/2 binary64)))))) |
(if (<=.f64 v #s(literal 139999999999999991285167330229307404975375020111088221626015833673130848699810489861179420414813756105335038937414138448123527168 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(if (<=.f64 r #s(literal 8106479329266893/9007199254740992 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (if (<=.f64 r #s(literal 12500000000000000089702894261377103801007685148645038975839096518281332710061042516033325873072023666298321726662095267032510191778683653244091706709639168 binary64)) (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 w (*.f64 #s(literal 3/8 binary64) r)) (*.f64 r w)))) #s(literal 9/2 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -1000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
| Outputs |
|---|
(-.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(-.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 v #s(literal 1 binary64))) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
(fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal 9/2 binary64)))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)) (pow.f64 (*.f64 r w) #s(literal 2 binary64)))) #s(literal 9/2 binary64)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) |
(+.f64 (-.f64 #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 #s(literal 1 binary64) v)) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal 9/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(if (<=.f64 r #s(literal 13500000000000000945107185442503469445054677003916813729949228575450888855967803263113847564134296060500405558264281533460581346849670655717834489856 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 w r) r) (/.f64 w (-.f64 #s(literal 1 binary64) v))) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 9/2 binary64)))) (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))) |
(if (<=.f64 r #s(literal 13500000000000000945107185442503469445054677003916813729949228575450888855967803263113847564134296060500405558264281533460581346849670655717834489856 binary64)) (+.f64 (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (/.f64 w (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 r w) r)) (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal 9/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (*.f64 r w)))) #s(literal 9/2 binary64))) |
(if (<=.f64 r #s(literal 180000000000000000000 binary64)) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 w #s(literal 3/8 binary64)) (*.f64 r r)) w))) #s(literal 9/2 binary64)) (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))) |
(if (<=.f64 r #s(literal 180000000000000000000 binary64)) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) w) (*.f64 r r)) w))) #s(literal 9/2 binary64)) (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (*.f64 r w)))) #s(literal 9/2 binary64))) |
(if (<=.f64 v #s(literal -169999999999999995546453021296755194706307008289722553445664860276625768448 binary64)) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) (*.f64 r w) #s(literal -3/2 binary64)))) (if (<=.f64 v #s(literal 3/4 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 w (*.f64 #s(literal -1/4 binary64) r)) (*.f64 r w) #s(literal -3/2 binary64)))))) |
(if (<=.f64 v #s(literal -169999999999999995546453021296755194706307008289722553445664860276625768448 binary64)) (+.f64 #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) w) (*.f64 r w) #s(literal -3/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (if (<=.f64 v #s(literal 3/4 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) (+.f64 #s(approx (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) w) (*.f64 r w) #s(literal -3/2 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) |
(if (<=.f64 v #s(literal 139999999999999991285167330229307404975375020111088221626015833673130848699810489861179420414813756105335038937414138448123527168 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(if (<=.f64 r #s(literal 8106479329266893/9007199254740992 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) (if (<=.f64 r #s(literal 12500000000000000089702894261377103801007685148645038975839096518281332710061042516033325873072023666298321726662095267032510191778683653244091706709639168 binary64)) (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 w (*.f64 #s(literal 3/8 binary64) r)) (*.f64 r w)))) #s(literal 9/2 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(if (<=.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) #s(approx (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (*.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) r) w) (*.f64 r w)))) #s(literal 9/2 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(if (<=.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (fma.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 r w) (*.f64 r w)) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(if (<=.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -1000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(if (<=.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) v)) #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -1000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 227 | 4018 |
| 1 | 745 | 3856 |
| 2 | 2583 | 3578 |
| 0 | 8206 | 3390 |
| 0 | 72 | 450 |
| 0 | 106 | 432 |
| 1 | 461 | 408 |
| 2 | 3935 | 408 |
| 0 | 8965 | 393 |
| 0 | 55 | 333 |
| 0 | 88 | 311 |
| 1 | 425 | 304 |
| 2 | 3682 | 304 |
| 0 | 8899 | 290 |
| 0 | 325 | 14184 |
| 1 | 1099 | 13415 |
| 2 | 3664 | 12485 |
| 0 | 8682 | 11742 |
| 0 | 323 | 13395 |
| 1 | 1084 | 12680 |
| 2 | 3692 | 11747 |
| 0 | 8802 | 11044 |
| 0 | 414 | 11977 |
| 1 | 1417 | 11265 |
| 2 | 4955 | 10915 |
| 0 | 8362 | 10162 |
| 0 | 73 | 417 |
| 0 | 108 | 386 |
| 1 | 522 | 358 |
| 2 | 3640 | 358 |
| 0 | 8869 | 333 |
| 0 | 22 | 114 |
| 0 | 36 | 114 |
| 1 | 149 | 104 |
| 2 | 1353 | 104 |
| 0 | 8965 | 94 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 513 to 830 computations (45.1% saved)
(abs w)
(abs r)
Compiled 1 604 to 688 computations (57.1% saved)
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