
Time bar (total: 11.6s)
| 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)
| 1.3s | 8 256× | 0 | valid |
ival-mult: 571.0ms (55.5% of total)ival-sub: 273.0ms (26.5% of total)ival-div: 120.0ms (11.7% of total)ival-add: 38.0ms (3.7% of total)exact: 18.0ms (1.7% of total)ival-true: 6.0ms (0.6% of total)ival-assert: 3.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 38 | 0 | - | 1 | (1.997909776054391e+287 -5.295666605621096e-162 31370126.218941815) | (*.f64 (*.f64 w w) r) |
| 20 | 0 | - | 1 | (1.997909776054391e+287 -5.295666605621096e-162 31370126.218941815) | (*.f64 (*.f64 (*.f64 w w) r) r) |
| 11 | 0 | - | 1 | (-1.434172051601e+73 -7.123701885011905e-220 1.4091842074845035e+61) | (*.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)) |
| 10 | 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)) |
| 2 | 0 | - | 0 | - | (/.f64 #s(literal 2 binary64) (*.f64 r r)) |
| 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 #s(literal 1/8 binary64) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) 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 w w) r) | n*o | 24 | 0 |
*.f64 | (*.f64 (*.f64 (*.f64 w w) r) r) | n*o | 12 | 0 |
/.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 | 10 | 0 |
| ↳ | (*.f64 (*.f64 w w) r) | overflow | 57 | |
| ↳ | (*.f64 w w) | overflow | 73 | |
| ↳ | (*.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 | 74 | |
| ↳ | (*.f64 (*.f64 (*.f64 w w) r) r) | overflow | 65 | |
*.f64 | (*.f64 (*.f64 w w) r) | n*u | 5 | 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)) | n*o | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 46 | 0 |
| - | 0 | 210 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 46 | 0 | 0 |
| - | 0 | 0 | 210 |
| number | freq |
|---|---|
| 0 | 210 |
| 1 | 40 |
| 2 | 6 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 83.0ms | 512× | 0 | valid |
Compiled 325 to 70 computations (78.5% saved)
ival-mult: 28.0ms (53.7% of total)ival-div: 11.0ms (21.1% of total)ival-sub: 9.0ms (17.2% of total)ival-add: 2.0ms (3.8% of total)ival-true: 1.0ms (1.9% of total)exact: 1.0ms (1.9% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 16 612× | lower-fma.f64 |
| 16 612× | lower-fma.f32 |
| 6 932× | lower-*.f32 |
| 6 918× | lower-*.f64 |
| 1 710× | distribute-lft-neg-in |
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 |
|---|---|---|
| ▶ | 82.6% | (-.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))) |
| 16 612× | lower-fma.f64 |
| 16 612× | lower-fma.f32 |
| 6 932× | lower-*.f32 |
| 6 918× | lower-*.f64 |
| 1 710× | distribute-lft-neg-in |
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 | 2.3658246741128917 | (/.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 | 2.5052663788859144 | (*.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 | 4.331352242188221 | (*.f64 (*.f64 (*.f64 w w) r) r) | |
| accuracy | 8.790334947904316 | (*.f64 (*.f64 w w) r) |
| 75.0ms | 256× | 0 | valid |
Compiled 148 to 24 computations (83.8% saved)
ival-mult: 41.0ms (81.7% of total)ival-sub: 4.0ms (8% of total)ival-div: 3.0ms (6% of total)ival-add: 1.0ms (2% of total)exact: 1.0ms (2% 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>) () ())) ()) |
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#s(alt (+ (* 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)))))) (taylor inf v) (#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>) () ())) ()) |
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#s(alt (* 1/4 (* (pow r 2) (pow w 2))) (taylor -inf v) (#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>) () ())) ()) |
#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 #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>) () ())) ()) |
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#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 #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>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | 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 |
| 14 382× | lower-fma.f64 |
| 14 382× | lower-fma.f32 |
| 5 144× | lower-+.f64 |
| 5 144× | lower-+.f32 |
| 4 118× | lower-*.f64 |
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)) |
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(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))) |
(- (+ (* -1/8 (/ (- (* -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)))))) |
(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)))) |
(- (+ (* -1/8 (/ (- (* -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))))) |
(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 (+ (* -1/8 (/ (- (* -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))) |
| 6 012× | lower-*.f32 |
| 5 998× | lower-*.f64 |
| 5 632× | lower-fma.f64 |
| 5 632× | lower-fma.f32 |
| 4 766× | lower-/.f32 |
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 |
|---|
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) |
(/.f64 (+.f64 #s(literal 27/512 binary64) (pow.f64 (*.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 9/64 binary64) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64))) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64)))))) |
(/.f64 (+.f64 #s(literal 27/512 binary64) (pow.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) v)) #s(literal 3 binary64))) (+.f64 #s(literal 9/64 binary64) (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) v)) (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) v))) (*.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) v)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (*.f64 v #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (*.f64 v #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (pow.f64 (*.f64 v #s(literal 2 binary64)) #s(literal 2 binary64))))) (neg.f64 (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 27 binary64) (pow.f64 (*.f64 v #s(literal 2 binary64)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (*.f64 v #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 1/8 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (*.f64 v #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (pow.f64 (*.f64 v #s(literal 2 binary64)) #s(literal 2 binary64)))) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 27 binary64) (pow.f64 (*.f64 v #s(literal 2 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 v #s(literal 2 binary64)) (fma.f64 v #s(literal 2 binary64) #s(literal 3 binary64)) #s(literal 9 binary64))) |
(+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 1/8 binary64))) |
(+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 #s(literal -2 binary64) v))) |
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(*.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))) |
(*.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)) (pow.f64 (-.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (/.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)) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (neg.f64 (neg.f64 (*.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)))))) (neg.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v))))) |
(/.f64 (neg.f64 (*.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))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v)))) |
(/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)))))) |
(/.f64 (*.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)))) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))))) |
(/.f64 (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(neg.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 1 binary64) v))) (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))))) #s(literal -1 binary64))) |
Compiled 25 169 to 2 092 computations (91.7% saved)
24 alts after pruning (24 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 591 | 24 | 615 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 592 | 24 | 616 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | (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)))) |
| 20.7% | (/.f64 (+.f64 #s(literal 27 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (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))) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (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)) (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 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (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))))))) | |
| 75.0% | (-.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 w w)) #s(literal -1 binary64)) (/.f64 (*.f64 r 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)) | |
| 87.2% | (-.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)) | |
| 93.2% | (-.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 r) w) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 93.7% | (-.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 w (*.f64 (*.f64 w r) r))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 82.6% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 76.2% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 #s(approx (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) (*.f64 w w)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| 88.7% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) | |
| ▶ | 88.7% | (-.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)) |
| 63.3% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (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))))) #s(literal 9/2 binary64)) | |
| 80.6% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)))) #s(literal 9/2 binary64)) | |
| ▶ | 80.5% | (-.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)) |
| 51.1% | (-.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)) | |
| 99.5% | (+.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)))) | |
| 40.2% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (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))) | |
| 77.7% | #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)))) | |
| 80.5% | #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)))) | |
| 73.7% | #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)) | |
| ▶ | 48.7% | #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))) |
| 59.6% | #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))) | |
| 77.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) | |
| ▶ | 54.3% | #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))) |
| 33.2% | #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 1 226 to 872 computations (28.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.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)))) | |
| cost-diff | 0 | (*.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)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 320 | (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))) | |
| 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 (*.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 binary64))) | |
| cost-diff | 0 | #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)))) | |
| cost-diff | 0 | (-.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)) | |
| 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 | (pow.f64 r #s(literal -2 binary64)) | |
| cost-diff | 0 | (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)))) | |
| 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)) |
| 11 412× | lower-fma.f32 |
| 11 402× | lower-fma.f64 |
| 6 430× | lower-*.f32 |
| 6 406× | lower-*.f64 |
| 3 702× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 641 |
| 0 | 99 | 633 |
| 1 | 204 | 597 |
| 2 | 544 | 583 |
| 3 | 2229 | 583 |
| 4 | 7896 | 583 |
| 0 | 8150 | 553 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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)))) |
(pow.f64 r #s(literal -2 binary64)) |
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))) |
#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 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) (/.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(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))) (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)))) |
(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 -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 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
#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 (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) |
#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))) |
(*.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)) |
(-.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 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) |
#s(literal 2 binary64) |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(*.f64 (*.f64 w w) r) |
(*.f64 w w) |
w |
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 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) |
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) |
(fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) |
#s(literal -2 binary64) |
v |
#s(literal 3 binary64) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 1/8 binary64) |
(/.f64 #s(literal 3/2 binary64) (*.f64 w w)) |
#s(literal 3/2 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)))) |
(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)) (fma.f64 #s(literal 2 binary64) (pow.f64 r #s(literal -2 binary64)) #s(literal -3/2 binary64))) |
(pow.f64 r #s(literal -2 binary64)) |
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 (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 (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 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) #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 -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 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) (/.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(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)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) #s(literal -3/8 binary64) (+.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))) (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(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) #s(literal -3/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 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 binary64))) |
(fma.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) #s(literal -3/8 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) |
#s(literal -3/8 binary64) |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(pow.f64 (*.f64 w r) #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 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
#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 (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(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.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 w r) #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 (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)) |
(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 (-.f64 #s(literal 1 binary64) v)) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 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 (/.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 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 w r) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 w w)))) (*.f64 w w))) |
(*.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)) |
(*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 w r) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 w w)))) (*.f64 w w)) |
(-.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 (/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 w r) #s(literal 2 binary64))) (fma.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 w w)))) |
(/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) |
(/.f64 #s(literal 2 binary64) (pow.f64 (*.f64 w r) #s(literal 2 binary64))) |
#s(literal 2 binary64) |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(pow.f64 (*.f64 w r) #s(literal 2 binary64)) |
(*.f64 (*.f64 w w) r) |
(*.f64 w w) |
w |
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))) |
(fma.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) (/.f64 #s(literal 3/2 binary64) (*.f64 w w))) |
(/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) r) |
(*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) r) |
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) r) |
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) r) |
(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) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
#s(literal 1/8 binary64) |
(/.f64 #s(literal 3/2 binary64) (*.f64 w w)) |
#s(literal 3/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.331352242188221 | (*.f64 (*.f64 (*.f64 w w) r) r) | |
| accuracy | 8.374983486641648 | (-.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)))) | |
| accuracy | 8.790334947904316 | (*.f64 (*.f64 w w) r) | |
| accuracy | 20.374124467816088 | (*.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)) | |
| accuracy | 0.06640625 | (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) | |
| accuracy | 0.43939303769369953 | (*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (*.f64 w r)) | |
| accuracy | 0.4496472380311086 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 8.965206762582334 | (*.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 | 0.4496472380311086 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 3.867260802973735 | #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)))) | |
| accuracy | 4.331352242188221 | (*.f64 (*.f64 (*.f64 w w) r) r) | |
| accuracy | 8.790334947904316 | (*.f64 (*.f64 w w) r) | |
| accuracy | 0 | (*.f64 r r) | |
| accuracy | 0.4496472380311086 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 32.79568319371642 | #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 | 0.014003759768442016 | (-.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))) | |
| accuracy | 0.2712579055396752 | (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)) | |
| accuracy | 0.28353500976844204 | (pow.f64 (*.f64 w r) #s(literal 2 binary64)) | |
| accuracy | 1.9352069395979583 | (/.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) |
| 205.0ms | 225× | 0 | valid |
| 14.0ms | 14× | 2 | valid |
| 12.0ms | 17× | 1 | valid |
Compiled 596 to 57 computations (90.4% saved)
ival-mult: 92.0ms (53.3% of total)ival-pow: 41.0ms (23.8% of total)ival-div: 12.0ms (7% of total)ival-sub: 12.0ms (7% of total)ival-add: 8.0ms (4.6% of total)adjust: 4.0ms (2.3% of total)ival-pow2: 3.0ms (1.7% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (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 (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 (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)))) (patch (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)))) #<representation binary64>) () ()) |
#s(alt (pow.f64 r #s(literal -2 binary64)) (patch (pow.f64 r #s(literal -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) (/.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 (-.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)) (patch (-.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)) #<representation binary64>) () ()) |
#s(alt #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)))) (patch #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)))) #<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 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 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 w w) r) (patch (*.f64 (*.f64 w w) r) #<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 (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))) (patch (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))) #<representation binary64>) () ()) |
#s(alt #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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (*.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)) (patch (*.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)) #<representation binary64>) () ()) |
#s(alt (-.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)))) (patch (-.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)))) #<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 (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 (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 (*.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>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) (patch (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt -3/2 (taylor 0 r) (#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 (- (* -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 (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 (- (* -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 (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 (- (* -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 (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 (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (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)))) (patch (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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (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)))) (patch (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)))) #<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 (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)))) (patch (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)))) #<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 (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)))) (patch (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)))) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow r 2)) (taylor 0 r) (#s(alt (pow.f64 r #s(literal -2 binary64)) (patch (pow.f64 r #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow r 2)) (taylor 0 r) (#s(alt (pow.f64 r #s(literal -2 binary64)) (patch (pow.f64 r #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow r 2)) (taylor 0 r) (#s(alt (pow.f64 r #s(literal -2 binary64)) (patch (pow.f64 r #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 (pow r 2)) (taylor 0 r) (#s(alt (pow.f64 r #s(literal -2 binary64)) (patch (pow.f64 r #s(literal -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) (/.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>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | r | @ | 0 | ((* (+ (* -2 v) 3) 1/8) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (+ (* (pow r -2) 2) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (pow r -2) (- (- (+ 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 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (* (* w w) 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) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (* (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (* w w)) (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (/ (pow (* w r) 2) (- 1 v)) (pow (* w r) 2) (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2) (* (* (* w w) r) r) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (* (* (+ (* -2 v) 3) 1/8) w)) |
| 6.0ms | r | @ | -inf | ((* (+ (* -2 v) 3) 1/8) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (+ (* (pow r -2) 2) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (pow r -2) (- (- (+ 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 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (* (* w w) 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) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (* (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (* w w)) (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (/ (pow (* w r) 2) (- 1 v)) (pow (* w r) 2) (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2) (* (* (* w w) r) r) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (* (* (+ (* -2 v) 3) 1/8) w)) |
| 5.0ms | w | @ | -inf | ((* (+ (* -2 v) 3) 1/8) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (+ (* (pow r -2) 2) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (pow r -2) (- (- (+ 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 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (* (* w w) 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) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (* (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (* w w)) (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (/ (pow (* w r) 2) (- 1 v)) (pow (* w r) 2) (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2) (* (* (* w w) r) r) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (* (* (+ (* -2 v) 3) 1/8) w)) |
| 5.0ms | w | @ | 0 | ((* (+ (* -2 v) 3) 1/8) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (+ (* (pow r -2) 2) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (pow r -2) (- (- (+ 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 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (* (* w w) 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) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (* (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (* w w)) (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (/ (pow (* w r) 2) (- 1 v)) (pow (* w r) 2) (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2) (* (* (* w w) r) r) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (* (* (+ (* -2 v) 3) 1/8) w)) |
| 5.0ms | w | @ | inf | ((* (+ (* -2 v) 3) 1/8) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2)) (+ (* (pow r -2) 2) (- 3 (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2))) (pow r -2) (- (- (+ 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 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (* (* w w) 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) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (* (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (* w w)) (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (/ (pow (* w r) 2) (- 1 v)) (pow (* w r) 2) (+ (* (/ (pow (* w r) 2) (- 1 v)) (* (+ (* -2 v) 3) 1/8)) 9/2) (* (* (* w w) r) r) (* (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (/ r (- 1 v))) (* (* (* (+ (* -2 v) 3) 1/8) w) (* w r)) (* (* (+ (* -2 v) 3) 1/8) w)) |
| 1× | egg-herbie |
| 16 322× | lower-fma.f64 |
| 16 322× | lower-fma.f32 |
| 4 448× | lower-*.f64 |
| 4 448× | lower-*.f32 |
| 3 396× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 540 | 15633 |
| 1 | 1833 | 14469 |
| 2 | 6238 | 14296 |
| 0 | 8158 | 13353 |
| 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)) |
(/ 1 (pow r 2)) |
(/ 1 (pow r 2)) |
(/ 1 (pow r 2)) |
(/ 1 (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 (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 (* (pow r 2) (+ 3 (* -3/8 (* (pow r 2) (pow w 2)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -3/8 (* (pow r 2) (pow w 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 (pow w 2)) |
(+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 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) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (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 (* -3/2 (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) (pow w 2))) |
(/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(/ (+ (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(/ (+ (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))) (* 2 (/ 1 (pow w 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)) |
9/2 |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 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))) |
(* 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)))))) |
(/ 1 (pow r 2)) |
(/ 1 (pow r 2)) |
(/ 1 (pow r 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)) |
(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))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 3 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))))) |
(* 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) (+ 3 (* -2 v))) (- 1 v))) |
(* (pow r 2) (+ (* 1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow r 2) (+ (* 1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow r 2) (+ (* 1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (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) (- (* -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))))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2))))))) |
(* (pow r 2) (- (/ 2 (* (pow r 4) (pow w 2))) (+ (* 1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 3/2 (* (pow r 2) (pow w 2)))))) |
(* (pow r 2) (- (/ 2 (* (pow r 4) (pow w 2))) (+ (* 1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 3/2 (* (pow r 2) (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)) |
(* 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))) (* 9/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 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))))) |
(* -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)))))) |
(/ 1 (pow r 2)) |
(/ 1 (pow r 2)) |
(/ 1 (pow r 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)) |
(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))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 3 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))))) |
(* 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) (+ 3 (* -2 v))) (- 1 v))) |
(* (pow r 2) (+ (* 1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow r 2) (+ (* 1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2)))))) |
(* (pow r 2) (+ (* 1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (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) (- (* -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))))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2))))))) |
(* (pow r 2) (- (/ 2 (* (pow r 4) (pow w 2))) (+ (* 1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 3/2 (* (pow r 2) (pow w 2)))))) |
(* (pow r 2) (- (/ 2 (* (pow r 4) (pow w 2))) (+ (* 1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 3/2 (* (pow r 2) (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)) |
(* 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))) (* 9/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* 1/8 (/ (* (pow w 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow r 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))))) |
-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) |
(- (* 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 (pow r 2)))) |
(+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) |
(+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (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 (pow w 2)) |
(/ (+ 3/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) (pow w 2)) |
(/ (+ 3/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) (pow w 2)) |
(/ (+ 3/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) (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) |
(- (* 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) (pow w 2)) |
(/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2)) |
(/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2)) |
(/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (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)) |
9/2 |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 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))) |
(* 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 (* w (+ 3 (* -2 v)))) |
(* 1/8 (* w (+ 3 (* -2 v)))) |
(* 1/8 (* w (+ 3 (* -2 v)))) |
(* 1/8 (* w (+ 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) (- (/ 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))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 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))) |
(* (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) (+ 3 (* -2 v))) (- 1 v))) |
(+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 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) (+ 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) (- (+ (* -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))))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (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))))) |
(- (/ 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)) |
(* 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))) (* 9/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (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))))) |
(* 1/8 (* w (+ 3 (* -2 v)))) |
(* 1/8 (* w (+ 3 (* -2 v)))) |
(* 1/8 (* w (+ 3 (* -2 v)))) |
(* 1/8 (* w (+ 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) (- (/ 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))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 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))) |
(* (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) (+ 3 (* -2 v))) (- 1 v))) |
(+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 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) (+ 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) (- (+ (* -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))))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (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))))) |
(- (/ 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)) |
(* 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))) (* 9/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 9/2 (/ 1 (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))))) |
(* 1/8 (* w (+ 3 (* -2 v)))) |
(* 1/8 (* w (+ 3 (* -2 v)))) |
(* 1/8 (* w (+ 3 (* -2 v)))) |
(* 1/8 (* w (+ 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))))) |
(- (* 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)) (* 3/2 (/ 1 (pow w 2)))) |
(+ (* 1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(+ (* 3/8 (pow r 2)) (+ (* 3/2 (/ 1 (pow w 2))) (* v (+ (* 1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* 1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))))))) |
(+ (* 3/8 (pow r 2)) (+ (* 3/2 (/ 1 (pow w 2))) (* v (+ (* 1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))) (* v (+ (* 1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* 1/8 (- (* -2 (pow r 2)) (* -3 (pow r 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 w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(+ (* -1/8 (* v (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2)))))) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))) |
(+ (* v (+ (* -1/8 (* v (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2)))))) (* -1/8 (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2))))))) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))) |
(+ (* v (+ (* -1/8 (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* v (+ (* -1/8 (* v (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2)))))) (* -1/8 (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2))))))))) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))) |
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(- (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* v (- (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* 1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2))))))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(- (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* 1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))))) (* 1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2))))))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (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))) |
(+ 9/2 (* 3/8 (* (pow r 2) (pow w 2)))) |
(+ 9/2 (+ (* 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))))) |
(+ 9/2 (+ (* 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))))))))) |
(+ 9/2 (+ (* 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 (* (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)))) |
(* 3/8 w) |
(+ (* -1/4 (* v w)) (* 3/8 w)) |
(+ (* -1/4 (* v w)) (* 3/8 w)) |
(+ (* -1/4 (* v w)) (* 3/8 w)) |
(* -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 (+ 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))))))) |
(- (* 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))))) |
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(* 1/4 (* (pow r 2) (pow w 2))) |
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(- (+ (* -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))))) |
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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)))) |
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(- (+ 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)) (* 3/2 (/ 1 (pow w 2)))) |
(+ (* -1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(+ (* -1 (/ (+ (* -1/8 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v)) (* 1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 1/8 (- (* 2 (pow r 2)) (* 3 (pow r 2))))) v)) (* 1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (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))))) |
(* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(+ (* 1/8 (/ (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2)))) v)) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))) |
(+ (* -1 (/ (+ (* -1/8 (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2))))) (* 1/8 (/ (* (pow w 2) (- (* 2 (pow r 2)) (* 3 (pow r 2)))) v))) v)) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow w 2) (- (* 2 (pow r 2)) (* 3 (pow r 2))))) (* 1/8 (/ (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2)))) v))) v)) (* -1/8 (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2)))))) v)) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))) |
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v)) (* 1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 1/8 (- (* 2 (pow r 2)) (* 3 (pow r 2))))) v)) (* 1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (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)) |
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(+ 9/2 (+ (* -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)))))) |
(* -1/4 (* v w)) |
(* -1 (* v (+ (* -3/8 (/ w v)) (* 1/4 w)))) |
(* -1 (* v (+ (* -3/8 (/ w v)) (* 1/4 w)))) |
(* -1 (* v (+ (* -3/8 (/ w v)) (* 1/4 w)))) |
| 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 (*.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)) #s(literal -3/2 binary64)) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(fma.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)) #s(literal -3/2 binary64)) |
(- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2) |
(fma.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)) #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 (*.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)) #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 (*.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)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 1 (pow r 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 r r)) |
(/ 1 (pow r 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 r r)) |
(/ 1 (pow r 2)) |
(/.f64 #s(literal 1 binary64) (*.f64 r r)) |
(/ 1 (pow r 2)) |
(/.f64 #s(literal 1 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 (*.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)) #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 (*.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)) #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) |
(*.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 (*.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)) #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 (*.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)) #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 (*.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)) #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 (*.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)) #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 (* (pow r 2) (+ 3 (* -3/8 (* (pow r 2) (pow w 2)))))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)) r) r #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -3/8 (* (pow r 2) (pow w 2)))))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)) r) r #s(literal 2 binary64)) (*.f64 r r)) |
(* r (pow w 2)) |
(*.f64 (*.f64 w w) r) |
(* r (pow w 2)) |
(*.f64 (*.f64 w w) r) |
(* r (pow w 2)) |
(*.f64 (*.f64 w w) r) |
(* r (pow w 2)) |
(*.f64 (*.f64 w 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 (* (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 (*.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)) #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 (*.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)) #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 (*.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)) #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 (*.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)) #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) |
(/ 3/2 (pow w 2)) |
(/.f64 #s(literal 3/2 binary64) (*.f64 w w)) |
(+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #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))) |
(+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #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))) |
(+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -2 binary64) #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))) |
(/ 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 (*.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)) #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 (*.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)) #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) (- (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.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)) #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 (*.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)) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ 2 (* (pow r 2) (pow w 2))) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) w) w) |
(/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) r) w) (/.f64 r w) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)) |
(/ (+ (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)) |
(/ (+ (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (-.f64 #s(literal 1 binary64) v)) |
(/ (* (pow r 2) (pow w 2)) (- 1 v)) |
(/.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (-.f64 #s(literal 1 binary64) v)) |
(* (pow r 2) (pow w 2)) |
(*.f64 (*.f64 (*.f64 r r) w) w) |
(* (pow r 2) (pow w 2)) |
(*.f64 (*.f64 (*.f64 r r) w) w) |
(* (pow r 2) (pow w 2)) |
(*.f64 (*.f64 (*.f64 r r) w) w) |
(* (pow r 2) (pow w 2)) |
(*.f64 (*.f64 (*.f64 r r) w) w) |
9/2 |
#s(literal 9/2 binary64) |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(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 9/2 binary64)) |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(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 9/2 binary64)) |
(+ 9/2 (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v)))) |
(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 9/2 binary64)) |
(* (pow r 2) (pow w 2)) |
(*.f64 (*.f64 (*.f64 r r) w) w) |
(* (pow r 2) (pow w 2)) |
(*.f64 (*.f64 (*.f64 r r) w) w) |
(* (pow r 2) (pow w 2)) |
(*.f64 (*.f64 (*.f64 r r) w) w) |
(* (pow r 2) (pow w 2)) |
(*.f64 (*.f64 (*.f64 r r) w) w) |
(* 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))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 w w) r)) (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 w) r)) (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 w) r)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(* 1/8 (* r (* (pow w 2) (+ 3 (* -2 v))))) |
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(+ (* -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 w)) #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) (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 #s(literal 1/4 binary64) (*.f64 r r)) w) w (/.f64 (fma.f64 (*.f64 (*.f64 w w) #s(literal -1/8 binary64)) (*.f64 r r) (*.f64 (/.f64 (*.f64 (*.f64 r r) (fma.f64 w (/.f64 w v) (*.f64 w w))) v) #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 (neg.f64 v) (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)))) |
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) |
(*.f64 (neg.f64 v) (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)))) |
(* -1 (* v (+ (* -3/8 (/ (* r (pow w 2)) v)) (* 1/4 (* r (pow w 2)))))) |
(*.f64 (neg.f64 v) (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)))) |
(* -1/4 (* v w)) |
(*.f64 (*.f64 #s(literal -1/4 binary64) w) v) |
(* -1 (* v (+ (* -3/8 (/ w v)) (* 1/4 w)))) |
(*.f64 (neg.f64 v) (fma.f64 (/.f64 w v) #s(literal -3/8 binary64) (*.f64 #s(literal 1/4 binary64) w))) |
(* -1 (* v (+ (* -3/8 (/ w v)) (* 1/4 w)))) |
(*.f64 (neg.f64 v) (fma.f64 (/.f64 w v) #s(literal -3/8 binary64) (*.f64 #s(literal 1/4 binary64) w))) |
(* -1 (* v (+ (* -3/8 (/ w v)) (* 1/4 w)))) |
(*.f64 (neg.f64 v) (fma.f64 (/.f64 w v) #s(literal -3/8 binary64) (*.f64 #s(literal 1/4 binary64) w))) |
| 4 698× | lower-*.f32 |
| 4 674× | lower-*.f64 |
| 3 900× | lower-fma.f32 |
| 3 890× | lower-fma.f64 |
| 3 328× | lower-pow.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 487 |
| 0 | 99 | 451 |
| 1 | 463 | 444 |
| 2 | 4034 | 444 |
| 0 | 8173 | 434 |
| 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 (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 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)))) |
(pow.f64 r #s(literal -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)) |
(*.f64 r r) |
(-.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))) (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)))) |
(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))) |
(*.f64 (*.f64 w w) r) |
(-.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))) |
(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))) |
#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))) |
(*.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)) |
(-.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 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(pow.f64 (*.f64 w r) #s(literal 2 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 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)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) w) |
| Outputs |
|---|
(*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) #s(literal 1/8 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 2 binary64))) #s(literal 1/8 binary64)) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -9 binary64)) #s(literal 1/8 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 3 binary64))) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 v #s(literal 3 binary64)) #s(literal 27 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 v v) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64))))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 9 binary64) (pow.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -9 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (-.f64 #s(literal 27 binary64) (pow.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -8 binary64) (pow.f64 v #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 v v) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64))))) |
(fma.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64) #s(literal 3/8 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)) #s(literal 3/8 binary64)) |
(+.f64 (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64)) #s(literal 3/8 binary64)) |
(+.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64))) #s(literal 3/8 binary64)) |
(+.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 1/8 binary64))) |
(+.f64 #s(literal 3/8 binary64) (*.f64 #s(literal 1/8 binary64) (*.f64 v #s(literal -2 binary64)))) |
(*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (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 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) #s(literal 2 binary64))) (pow.f64 (+.f64 #s(literal 15/2 binary64) (*.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 v #s(literal -2 binary64) #s(literal 3 binary64))))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (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 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (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 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) (+.f64 #s(literal 15/2 binary64) (*.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 v #s(literal -2 binary64) #s(literal 3 binary64))))) #s(literal 9 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (+.f64 #s(literal 15/2 binary64) (*.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 v #s(literal -2 binary64) #s(literal 3 binary64))))) (-.f64 #s(literal 9 binary64) (pow.f64 (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 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (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 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) (+.f64 #s(literal 15/2 binary64) (*.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 v #s(literal -2 binary64) #s(literal 3 binary64))))) #s(literal 9 binary64)) (-.f64 #s(literal 27 binary64) (pow.f64 (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 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 3 binary64) (*.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 v #s(literal -2 binary64) #s(literal 3 binary64))))) #s(literal 2 binary64)) #s(literal 81/4 binary64)) (+.f64 (-.f64 #s(literal 3 binary64) (*.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 v #s(literal -2 binary64) #s(literal 3 binary64))))) #s(literal 9/2 binary64))) |
(/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal -1/8 binary64) #s(literal -9/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal -1/8 binary64) #s(literal -9/2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 3 binary64) (*.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 v #s(literal -2 binary64) #s(literal 3 binary64))))) #s(literal 3 binary64)) #s(literal 729/8 binary64)) (+.f64 (pow.f64 (-.f64 #s(literal 3 binary64) (*.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 v #s(literal -2 binary64) #s(literal 3 binary64))))) #s(literal 2 binary64)) (+.f64 #s(literal 81/4 binary64) (*.f64 (-.f64 #s(literal 3 binary64) (*.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 v #s(literal -2 binary64) #s(literal 3 binary64))))) #s(literal 9/2 binary64))))) |
(/.f64 (+.f64 #s(literal 27 binary64) (pow.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal -1/8 binary64) #s(literal -9/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal -1/8 binary64) #s(literal -9/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (fma.f64 (*.f64 (/.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal -1/8 binary64) #s(literal -9/2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (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 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (+.f64 #s(literal 15/2 binary64) (*.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 v #s(literal -2 binary64) #s(literal 3 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (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 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (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 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) (+.f64 #s(literal 15/2 binary64) (*.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 v #s(literal -2 binary64) #s(literal 3 binary64))))) #s(literal 9 binary64)))) |
(/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (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 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) #s(literal 2 binary64))) (+.f64 #s(literal 15/2 binary64) (*.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 v #s(literal -2 binary64) #s(literal 3 binary64)))))) |
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(fma.f64 w (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 w (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 9/2 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) v) #s(literal -1 binary64))) #s(literal 9/2 binary64)) |
(fma.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 9/2 binary64)) |
(fma.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))) #s(literal 9/2 binary64)) |
(fma.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) v) (pow.f64 (*.f64 r w) #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal -2 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 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal -9/2 binary64))) (/.f64 #s(literal 81/4 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 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal -9/2 binary64)))) |
(+.f64 (*.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 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(+.f64 #s(literal 9/2 binary64) (*.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 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(*.f64 (pow.f64 (*.f64 (*.f64 w w) r) #s(literal 1 binary64)) r) |
(*.f64 (pow.f64 (*.f64 (*.f64 r w) r) #s(literal 1 binary64)) w) |
(*.f64 (*.f64 (*.f64 r w) r) w) |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(*.f64 (*.f64 w w) (*.f64 r r)) |
(*.f64 (*.f64 r r) (*.f64 w w)) |
(*.f64 (*.f64 r w) (*.f64 r w)) |
(*.f64 r (pow.f64 (*.f64 (*.f64 w w) r) #s(literal 1 binary64))) |
(*.f64 r (*.f64 (*.f64 w w) r)) |
(*.f64 w (pow.f64 (*.f64 w (*.f64 r r)) #s(literal 1 binary64))) |
(*.f64 w (pow.f64 (*.f64 r (*.f64 r w)) #s(literal 1 binary64))) |
(*.f64 w (pow.f64 (*.f64 (*.f64 r w) r) #s(literal 1 binary64))) |
(*.f64 w (*.f64 w (*.f64 r r))) |
(*.f64 w (*.f64 r (*.f64 r w))) |
(*.f64 w (*.f64 (*.f64 r w) r)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 r w))) |
(pow.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 r w) #s(literal 2 binary64)) |
(exp.f64 (+.f64 (log.f64 (*.f64 r w)) (log.f64 (*.f64 r w)))) |
(exp.f64 (fma.f64 (log.f64 w) #s(literal 2 binary64) (*.f64 (log.f64 r) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 r) #s(literal 2 binary64) (*.f64 (log.f64 w) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 r w)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 r w)) #s(literal 2 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) v)) |
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 3 binary64)))) (+.f64 (fma.f64 v v v) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.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 r (-.f64 #s(literal 1 binary64) v)) (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (*.f64 r w)) |
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (*.f64 w w) r)) |
(*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) #s(literal 1/8 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(*.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))))) |
(*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 1/8 binary64)) |
(*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) (*.f64 r (/.f64 r (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v)) #s(literal -1 binary64))) |
(*.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)))) r) w)) |
(*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) r) w) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))) |
(*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) v) #s(literal -1 binary64))) |
(*.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 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.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 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(*.f64 (*.f64 r w) (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 r (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) r) w))) |
(*.f64 w (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 w (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (/.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) |
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(pow.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) v) (pow.f64 (*.f64 r w) #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) v) (pow.f64 (*.f64 r w) #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 r) (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) r) w)) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) r) w)) (/.f64 (-.f64 #s(literal 1 binary64) v) r)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) v) (pow.f64 (*.f64 r w) #s(literal -2 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) r) w) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) r)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) v) (pow.f64 (*.f64 r w) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) v) (pow.f64 (*.f64 r w) #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))))) |
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) r) w) (/.f64 (-.f64 #s(literal 1 binary64) v) r)) |
(/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) v) (pow.f64 (*.f64 r w) #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) v) (pow.f64 (*.f64 r w) #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) v) (pow.f64 (*.f64 r w) #s(literal -2 binary64)))) |
(neg.f64 (*.f64 (*.f64 (/.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal -1/8 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) v) (pow.f64 (*.f64 r w) #s(literal -2 binary64))) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) r) w) |
(*.f64 (*.f64 (*.f64 r w) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w) |
(*.f64 (*.f64 (*.f64 r w) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 w #s(literal 1/8 binary64))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) r) (*.f64 w w)) |
(*.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)))) (*.f64 r w)) |
(*.f64 (*.f64 (*.f64 w w) r) (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 (*.f64 r w) (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))))) |
(*.f64 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 r (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))))) |
(*.f64 w (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 r w))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) (*.f64 (*.f64 w w) r)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w w) r))) |
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 r w))) |
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 w w) r))) |
(*.f64 (*.f64 w (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) #s(literal 1/8 binary64)) |
(*.f64 (*.f64 w #s(literal 1/8 binary64)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) |
(*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64))) w) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) w)) |
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w #s(literal 1/8 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 w #s(literal 1/8 binary64))) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -9 binary64)) (*.f64 w #s(literal 1/8 binary64))) (fma.f64 v #s(literal -2 binary64) #s(literal -3 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (*.f64 v #s(literal -2 binary64)) #s(literal 3 binary64))) (*.f64 w #s(literal 1/8 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 v #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 w #s(literal 1/8 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 v v) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64))))) |
Compiled 51 766 to 3 545 computations (93.2% saved)
21 alts after pruning (20 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 574 | 14 | 1 588 |
| Fresh | 13 | 6 | 19 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 591 | 21 | 1 612 |
| Status | Accuracy | Program |
|---|---|---|
| 87.2% | (-.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)) | |
| ▶ | 97.0% | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) #s(literal 9/2 binary64)) |
| 82.8% | (-.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 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w)) r)) #s(literal 9/2 binary64)) | |
| 49.2% | (-.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)) | |
| 72.8% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (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)))) #s(literal 9/2 binary64)) | |
| 90.3% | (-.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 r w) w) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) | |
| 92.0% | (-.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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) | |
| 51.1% | (-.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)) | |
| ▶ | 44.1% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
| 33.4% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) | |
| ▶ | 77.7% | #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)))) |
| 80.5% | #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)))) | |
| 48.7% | #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) r) r)) | |
| ✓ | 48.7% | #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))) |
| 87.6% | #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)) (fma.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) | |
| 86.1% | #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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) | |
| ▶ | 59.6% | #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))) |
| 77.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) | |
| 48.8% | #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))) | |
| 23.6% | #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)) #s(approx (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w))) (/.f64 #s(literal 3/2 binary64) (*.f64 w w)))) (*.f64 w w))) | |
| ▶ | 33.3% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 w w))) |
Compiled 704 to 591 computations (16.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) | |
| cost-diff | 0 | (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 w w)) | |
| cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 w w))) | |
| cost-diff | 320 | (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) | |
| cost-diff | 0 | (*.f64 (*.f64 w w) r) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 w w) r) r) | |
| cost-diff | 0 | (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))) | |
| 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 -1/4 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 | (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)) | |
| cost-diff | 0 | #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) #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 | (-.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) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) | |
| cost-diff | 192 | (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) #s(literal 9/2 binary64)) | |
| cost-diff | 320 | (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) |
| 16 626× | lower-fma.f32 |
| 16 620× | lower-fma.f64 |
| 6 852× | lower-*.f32 |
| 6 824× | lower-*.f64 |
| 2 434× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 683 |
| 0 | 105 | 675 |
| 1 | 225 | 672 |
| 2 | 606 | 653 |
| 3 | 2394 | 649 |
| 4 | 6438 | 649 |
| 0 | 8651 | 624 |
| 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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r 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 |
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
v |
#s(literal -2 binary64) |
(*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))) |
(*.f64 w #s(literal 1/8 binary64)) |
w |
#s(literal 1/8 binary64) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) |
(/.f64 r (-.f64 #s(literal 1 binary64) v)) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
(*.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))) |
(-.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 |
#s(literal 3/2 binary64) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) 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))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) |
#s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) |
(*.f64 #s(literal -3/8 binary64) (*.f64 w w)) |
#s(literal -3/8 binary64) |
(*.f64 w w) |
w |
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) (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)))) |
(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(literal -1/4 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) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 w w))) |
(*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 w w)) |
#s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 r r) #s(literal -1/8 binary64)) |
(*.f64 r r) |
r |
#s(literal -1/8 binary64) |
(/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) |
v |
#s(literal -2 binary64) |
#s(literal 3 binary64) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
(*.f64 w w) |
w |
| Outputs |
|---|
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) #s(literal 9/2 binary64)) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) r) w) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (-.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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) r) w) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) (+.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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) |
(*.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64)) w) r) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w)) |
(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 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 w w)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r)) |
(*.f64 w #s(literal 1/8 binary64)) |
(*.f64 #s(literal 1/8 binary64) w) |
w |
#s(literal 1/8 binary64) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) |
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) r) |
(/.f64 r (-.f64 #s(literal 1 binary64) v)) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
(*.f64 r w) |
(*.f64 w 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) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(-.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 |
#s(literal 3/2 binary64) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 w w) #s(literal -3/8 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))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) |
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) (*.f64 r r) #s(literal 3 binary64)))) |
#s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64))) |
#s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) (*.f64 r r) #s(literal 3 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)) |
(fma.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) (*.f64 r r) #s(literal 3 binary64)) |
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) |
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w r)) w) |
(*.f64 #s(literal -3/8 binary64) (*.f64 w w)) |
(*.f64 (*.f64 w w) #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(*.f64 w w) |
w |
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) (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 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) (*.f64 w w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 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))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) r) r) (*.f64 w w) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
#s(literal -1/4 binary64) |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(*.f64 (*.f64 (*.f64 w r) r) w) |
(*.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) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (*.f64 w w))) |
(*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 w w)) |
(*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) (*.f64 w w)) |
#s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
#s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) r) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (fma.f64 #s(literal 1/4 binary64) v #s(literal -3/8 binary64)) r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 r r) #s(literal -1/8 binary64)) |
(*.f64 #s(literal -1/8 binary64) (*.f64 r r)) |
(*.f64 r r) |
r |
#s(literal -1/8 binary64) |
(/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 (fma.f64 v #s(literal 2 binary64) #s(literal -3 binary64)) (-.f64 v #s(literal 1 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) |
#s(literal 3 binary64) |
(-.f64 #s(literal 1 binary64) v) |
#s(literal 1 binary64) |
(*.f64 w w) |
w |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.015625 | (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) | |
| accuracy | 0.09375 | (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) | |
| accuracy | 20.374124467816088 | (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 w w)) | |
| accuracy | 34.99031152009135 | #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) | |
| accuracy | 0.4496472380311086 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 4.331352242188221 | (*.f64 (*.f64 (*.f64 w w) r) r) | |
| accuracy | 5.021453590532393 | #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)))) | |
| accuracy | 8.790334947904316 | (*.f64 (*.f64 w w) r) | |
| accuracy | 2.8334761568412854 | (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)) | |
| accuracy | 3.867260802973735 | #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) | |
| accuracy | 8.811836907277014 | (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) | |
| accuracy | 29.969653919215798 | #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64))) | |
| accuracy | 0 | (*.f64 r r) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) | |
| accuracy | 0.4496472380311086 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 25.807581242655875 | #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))) | |
| accuracy | 0.4496472380311086 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 2.01867984526022 | (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) | |
| accuracy | 3.974387986350315 | (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) | |
| accuracy | 4.480824070754523 | (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))) |
| 95.0ms | 256× | 0 | valid |
Compiled 519 to 63 computations (87.9% saved)
ival-mult: 37.0ms (55.6% of total)ival-div: 11.0ms (16.5% of total)ival-add: 9.0ms (13.5% of total)ival-sub: 8.0ms (12% of total)exact: 1.0ms (1.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) (patch (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) #s(literal 9/2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r 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 #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))) (patch #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))) #<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 #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 (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) (patch (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) #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))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) (patch #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64))) (patch #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)) (patch (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #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) (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)))) (patch #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)))) #<representation binary64>) () ()) |
#s(alt (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))) (patch (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))) #<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 w w) r) (patch (*.f64 (*.f64 w w) r) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) (patch (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) #<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(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 w w))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 w w))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 w w)) (patch (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 w w)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (patch #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))) (patch (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (patch (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) (patch (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor 0 r) (#s(alt (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) (patch (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor 0 r) (#s(alt (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) (patch (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor 0 r) (#s(alt (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) (patch (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (taylor 0 r) (#s(alt (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) (patch (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) #<representation binary64>) () ())) ()) |
#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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) #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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) #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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) #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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) #s(literal 9/2 binary64)) (patch (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) #s(literal 9/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 3 (pow r 2))) (pow r 2)) (taylor 0 r) (#s(alt (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) #<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 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) #<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 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) (patch (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (pow r 2)) (taylor 0 r) (#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 (/ (+ 2 (* 3 (pow r 2))) (pow r 2)) (taylor 0 r) (#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 (/ (+ 2 (* 3 (pow r 2))) (pow r 2)) (taylor 0 r) (#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 (/ (+ 2 (* 3 (pow r 2))) (pow r 2)) (taylor 0 r) (#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 (/ 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 (/.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) (-.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) (-.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) (-.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) (-.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) (-.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) (-.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) (-.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 (-.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 (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#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 (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#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 (/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) (taylor 0 r) (#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 (/ 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 (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) (patch (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) (patch (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) (patch (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) (patch (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) #s(literal 9/2 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))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) (patch #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 3 (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))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) (patch #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v)) (* 1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) (taylor -inf v) (#s(alt #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (patch #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 1/8 (- (* 2 (pow r 2)) (* 3 (pow r 2))))) v)) (* 1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) (taylor -inf v) (#s(alt #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (patch #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1/8 (/ (* (pow r 2) (pow w 2)) v)) (taylor -inf v) (#s(alt (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))) (patch (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (taylor -inf v) (#s(alt (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))) (patch (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow r 2) (pow w 2))) (* -1/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* 1/8 (* (pow r 2) (pow w 2)))) v)) (taylor -inf v) (#s(alt (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))) (patch (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* -1/8 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (* (pow r 2) (pow w 2)))) v)) (taylor -inf v) (#s(alt (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))) (patch (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* (pow r 2) w) v)) (taylor -inf v) (#s(alt (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (patch (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* (pow r 2) w) (/ (* (pow r 2) w) v)) v)) (taylor -inf v) (#s(alt (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (patch (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) w) v)) (* (pow r 2) w)) v)) (* (pow r 2) w)) v)) (taylor -inf v) (#s(alt (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (patch (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) w) v) (* -1 (* (pow r 2) w))) v)) (* (pow r 2) w)) v)) (* (pow r 2) w)) v)) (taylor -inf v) (#s(alt (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) (patch (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) #<representation binary64>) () ())) ()) |
#s(alt 2 (taylor -inf v) (#s(alt (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ()) |
#s(alt (- 2 (/ 1 v)) (taylor -inf v) (#s(alt (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* -1 (/ (+ 1 (/ 1 v)) v))) (taylor -inf v) (#s(alt (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ()) |
#s(alt (+ 2 (* -1 (/ (+ 1 (+ (/ 1 v) (/ 1 (pow v 2)))) v))) (taylor -inf v) (#s(alt (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (patch (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | r | @ | inf | ((* (+ (* v -2) 3) (* (* w 1/8) (* (/ r (- 1 v)) (* r w)))) (- (- (+ 3 (/ 2 (* r r))) (* (+ (* v -2) 3) (* (* w 1/8) (* (/ r (- 1 v)) (* r w))))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (+ (* v -2) 3) (* (* w 1/8) (* (/ r (- 1 v)) (* r w))))) (+ 3 (/ 2 (* r r))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (/ 2 (* r r)) (* 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))) (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (+ (* (* (* -3/8 (* w w)) r) r) 3) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* w w) r) (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (* (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (* w w)) (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (* (* w 1/8) (* (/ r (- 1 v)) (* r w))) (* (/ r (- 1 v)) (* r w)) (* (* -3/8 (* w w)) r) (/ (+ (* v -2) 3) (- 1 v))) |
| 5.0ms | w | @ | -inf | ((* (+ (* v -2) 3) (* (* w 1/8) (* (/ r (- 1 v)) (* r w)))) (- (- (+ 3 (/ 2 (* r r))) (* (+ (* v -2) 3) (* (* w 1/8) (* (/ r (- 1 v)) (* r w))))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (+ (* v -2) 3) (* (* w 1/8) (* (/ r (- 1 v)) (* r w))))) (+ 3 (/ 2 (* r r))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (/ 2 (* r r)) (* 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))) (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (+ (* (* (* -3/8 (* w w)) r) r) 3) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* w w) r) (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (* (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (* w w)) (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (* (* w 1/8) (* (/ r (- 1 v)) (* r w))) (* (/ r (- 1 v)) (* r w)) (* (* -3/8 (* w w)) r) (/ (+ (* v -2) 3) (- 1 v))) |
| 5.0ms | r | @ | 0 | ((* (+ (* v -2) 3) (* (* w 1/8) (* (/ r (- 1 v)) (* r w)))) (- (- (+ 3 (/ 2 (* r r))) (* (+ (* v -2) 3) (* (* w 1/8) (* (/ r (- 1 v)) (* r w))))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (+ (* v -2) 3) (* (* w 1/8) (* (/ r (- 1 v)) (* r w))))) (+ 3 (/ 2 (* r r))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (/ 2 (* r r)) (* 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))) (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (+ (* (* (* -3/8 (* w w)) r) r) 3) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* w w) r) (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (* (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (* w w)) (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (* (* w 1/8) (* (/ r (- 1 v)) (* r w))) (* (/ r (- 1 v)) (* r w)) (* (* -3/8 (* w w)) r) (/ (+ (* v -2) 3) (- 1 v))) |
| 4.0ms | w | @ | 0 | ((* (+ (* v -2) 3) (* (* w 1/8) (* (/ r (- 1 v)) (* r w)))) (- (- (+ 3 (/ 2 (* r r))) (* (+ (* v -2) 3) (* (* w 1/8) (* (/ r (- 1 v)) (* r w))))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (+ (* v -2) 3) (* (* w 1/8) (* (/ r (- 1 v)) (* r w))))) (+ 3 (/ 2 (* r r))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (/ 2 (* r r)) (* 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))) (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (+ (* (* (* -3/8 (* w w)) r) r) 3) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* w w) r) (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (* (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (* w w)) (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (* (* w 1/8) (* (/ r (- 1 v)) (* r w))) (* (/ r (- 1 v)) (* r w)) (* (* -3/8 (* w w)) r) (/ (+ (* v -2) 3) (- 1 v))) |
| 4.0ms | w | @ | inf | ((* (+ (* v -2) 3) (* (* w 1/8) (* (/ r (- 1 v)) (* r w)))) (- (- (+ 3 (/ 2 (* r r))) (* (+ (* v -2) 3) (* (* w 1/8) (* (/ r (- 1 v)) (* r w))))) 9/2) (- (+ 3 (/ 2 (* r r))) (* (+ (* v -2) 3) (* (* w 1/8) (* (/ r (- 1 v)) (* r w))))) (+ 3 (/ 2 (* r r))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (/ 2 (* r r)) (* 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))) (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (+ (* (* (* -3/8 (* w w)) r) r) 3) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (* (* (* w w) r) r) (* (* w w) r) (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (* (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (* w w)) (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (* (* w 1/8) (* (/ r (- 1 v)) (* r w))) (* (/ r (- 1 v)) (* r w)) (* (* -3/8 (* w w)) r) (/ (+ (* v -2) 3) (- 1 v))) |
| 1× | egg-herbie |
| 17 280× | lower-fma.f64 |
| 17 280× | lower-fma.f32 |
| 5 134× | lower-*.f64 |
| 5 134× | lower-*.f32 |
| 3 484× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 549 | 14074 |
| 1 | 1783 | 12986 |
| 2 | 5889 | 12217 |
| 0 | 8743 | 11464 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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)) |
(/ 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 (* -3/2 (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 (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 (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 (* (pow r 2) (+ 3 (* -3/8 (* (pow r 2) (pow w 2)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -3/8 (* (pow r 2) (pow w 2)))))) (pow r 2)) |
3 |
(+ 3 (* -3/8 (* (pow r 2) (pow w 2)))) |
(+ 3 (* -3/8 (* (pow r 2) (pow w 2)))) |
(+ 3 (* -3/8 (* (pow r 2) (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 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 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)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(* -1/8 (/ (* (pow r 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)) |
(/ 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) (pow w 2))) |
(/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(/ (+ (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(/ (+ (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(* 1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
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(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(/ (* (pow r 2) w) (- 1 v)) |
(* -3/8 (* r (pow w 2))) |
(* -3/8 (* r (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 (/ (* (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))))) |
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)))))) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(/ 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) |
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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))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
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(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 3 (/ 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)))))) |
(* (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)) |
(* (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) (- (/ 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) (- (* -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) (- (/ 2 (* (pow r 4) (pow w 2))) (+ (* 1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 3/2 (* (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) (- (/ 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))))) |
(* (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)))))) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(/ 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)))))) |
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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))))) |
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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))) |
(* -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)))))) |
(* -1/4 (* (pow r 2) (pow w 2))) |
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(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* -1/4 (pow w 2)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
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(* (pow r 2) (pow w 2)) |
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(* -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 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) (- (* -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))))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2))))))) |
(* (pow r 2) (- (/ 2 (* (pow r 4) (pow w 2))) (+ (* 1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 3/2 (* (pow r 2) (pow w 2)))))) |
(* (pow r 2) (- (/ 2 (* (pow r 4) (pow w 2))) (+ (* 1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 3/2 (* (pow r 2) (pow w 2)))))) |
(* 1/8 (/ (* (pow r 2) (pow w 2)) (- 1 v))) |
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(/ (* (pow r 2) w) (- 1 v)) |
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(/ (* (pow r 2) w) (- 1 v)) |
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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))) (* 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)))) |
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(- (+ (* -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) |
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(+ 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))))) |
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(+ 3 (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2))))) |
3 |
(+ 3 (* -3/8 (* (pow r 2) (pow w 2)))) |
(+ 3 (* -3/8 (* (pow r 2) (pow w 2)))) |
(+ 3 (* -3/8 (* (pow r 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) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
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(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -1/4 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(* (pow r 2) (pow w 2)) |
(* (pow r 2) (pow w 2)) |
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(* r (pow w 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) |
(- (+ (* -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) (pow w 2)) |
(/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2)) |
(/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (pow w 2)) |
(/ (- (+ (* -1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) (* 2 (/ 1 (pow r 2)))) 3/2) (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)))))) |
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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)))))) |
(* -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) (+ (* -3/8 (pow r 2)) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (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)))))) |
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(* (pow r 2) (pow w 2)) |
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(* (pow r 2) (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)))))) |
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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)))))) |
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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))))) |
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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)))))) |
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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)))))) |
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(* (pow w 2) (+ (* -3/8 (pow r 2)) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (pow w 2)))))) |
(* (pow w 2) (+ (* -3/8 (pow r 2)) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (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)))))) |
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(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
(* (pow w 2) (- (+ (* -1/4 (pow r 2)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (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)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
(* r (pow w 2)) |
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(* -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) (- (+ (* -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))))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
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(- (/ 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)) (- 1 v))) |
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(/ (* (pow r 2) w) (- 1 v)) |
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(/ (* (pow r 2) w) (- 1 v)) |
(* -3/8 (* r (pow w 2))) |
(* -3/8 (* r (pow w 2))) |
(* -3/8 (* r (pow w 2))) |
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(* 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)))))))))) |
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(- (+ (* -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))))) |
(- (* 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))))) |
(* -3/8 (pow r 2)) |
(+ (* -3/8 (pow r 2)) (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2)))))) |
(+ (* -3/8 (pow r 2)) (* v (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2))))))) |
(+ (* -3/8 (pow r 2)) (* v (+ (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))) (* v (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 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 w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(+ (* -1/8 (* v (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2)))))) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))) |
(+ (* v (+ (* -1/8 (* v (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2)))))) (* -1/8 (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2))))))) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))) |
(+ (* v (+ (* -1/8 (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* v (+ (* -1/8 (* v (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2)))))) (* -1/8 (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2))))))))) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))) |
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(- (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* v (- (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* 1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2))))))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(- (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* 1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))))) (* 1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2))))))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* 1/8 (* (pow r 2) (pow w 2))) |
(+ (* 1/8 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (pow r 2) (pow w 2)))) |
(+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (pow r 2) (pow w 2)))))) |
(+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* (pow r 2) (pow w 2))) (* v (+ (* 1/8 (* (pow r 2) (* v (pow w 2)))) (* 1/8 (* (pow r 2) (pow w 2)))))))) |
(* (pow r 2) w) |
(+ (* (pow r 2) w) (* (pow r 2) (* v w))) |
(+ (* v (- (* (pow r 2) (* v w)) (* -1 (* (pow r 2) w)))) (* (pow r 2) w)) |
(+ (* v (- (* v (- (* (pow r 2) (* v w)) (* -1 (* (pow r 2) w)))) (* -1 (* (pow r 2) w)))) (* (pow r 2) w)) |
3 |
(+ 3 v) |
(+ 3 (* v (+ 1 v))) |
(+ 3 (* v (+ 1 (* v (+ 1 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)))))) |
(- (* 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 (/ 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)))))) |
(- (* 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))))))) |
(* -1/4 (pow r 2)) |
(+ (* -1/4 (pow r 2)) (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v))) |
(+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))))) |
(+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 3)))))) |
(- (* 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))))))) |
(* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) v)) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))) |
(+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) v)) (+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) (pow v 2))) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))))) |
(+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) v)) (+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) (pow v 2))) (+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) (pow v 3))) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))))) |
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (+ (* 1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 3))) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (+ (* 1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* 1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))) |
(* -1/8 (/ (* (pow r 2) (pow w 2)) v)) |
(/ (+ (* -1/8 (* (pow r 2) (pow w 2))) (* -1/8 (/ (* (pow r 2) (pow w 2)) v))) v) |
(/ (+ (* -1/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))))) v) |
(/ (+ (* -1/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (/ (* (pow r 2) (pow w 2)) (pow v 2))) (* -1/8 (/ (* (pow r 2) (pow w 2)) (pow v 3)))))) v) |
(* -1 (/ (* (pow r 2) w) v)) |
(/ (+ (* -1 (* (pow r 2) w)) (* -1 (/ (* (pow r 2) w) v))) v) |
(/ (- (+ (* -1 (* (pow r 2) w)) (* -1 (/ (* (pow r 2) w) (pow v 2)))) (/ (* (pow r 2) w) v)) v) |
(/ (- (+ (* -1 (* (pow r 2) w)) (* -1 (/ (* (pow r 2) w) (pow v 3)))) (+ (/ (* (pow r 2) w) v) (/ (* (pow r 2) w) (pow v 2)))) v) |
2 |
(- 2 (/ 1 v)) |
(+ 2 (* -1 (/ (+ 1 (/ 1 v)) v))) |
(- (+ 2 (* -1 (/ (+ 1 (/ 1 v)) (pow v 2)))) (/ 1 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)))) |
(- (* 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 (/ 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)))) |
(- (* 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))))) |
(* -1/4 (pow r 2)) |
(+ (* -1/4 (pow r 2)) (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v))) |
(+ (* -1 (/ (+ (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2)))) (* 1/8 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v))) v)) (* -1/4 (pow r 2))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (pow r 2)) (* 3 (pow r 2)))) (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v))) v)) (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (* -1/4 (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))))) |
(* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(+ (* 1/8 (/ (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2)))) v)) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))) |
(+ (* -1 (/ (+ (* -1/8 (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2))))) (* 1/8 (/ (* (pow w 2) (- (* 2 (pow r 2)) (* 3 (pow r 2)))) v))) v)) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow w 2) (- (* 2 (pow r 2)) (* 3 (pow r 2))))) (* 1/8 (/ (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2)))) v))) v)) (* -1/8 (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2)))))) v)) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))) |
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v)) (* 1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 1/8 (- (* 2 (pow r 2)) (* 3 (pow r 2))))) v)) (* 1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* -1/8 (/ (* (pow r 2) (pow w 2)) v)) |
(* -1 (/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow r 2) (pow w 2))) (* -1/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* 1/8 (* (pow r 2) (pow w 2)))) v)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* -1/8 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (* (pow r 2) (pow w 2)))) v)) |
(* -1 (/ (* (pow r 2) w) v)) |
(* -1 (/ (+ (* (pow r 2) w) (/ (* (pow r 2) w) v)) v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) w) v)) (* (pow r 2) w)) v)) (* (pow r 2) w)) v)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) w) v) (* -1 (* (pow r 2) w))) v)) (* (pow r 2) w)) v)) (* (pow r 2) w)) v)) |
2 |
(- 2 (/ 1 v)) |
(+ 2 (* -1 (/ (+ 1 (/ 1 v)) v))) |
(+ 2 (* -1 (/ (+ 1 (+ (/ 1 v) (/ 1 (pow v 2)))) v))) |
| Outputs |
|---|
(* 1/8 (/ (* (pow r 2) (* (pow w 2) (+ 3 (* -2 v)))) (- 1 v))) |
(*.f64 (*.f64 (*.f64 r r) #s(literal 1/8 binary64)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 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 #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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 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 #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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 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 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) 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 (* -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)) |
(/.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) |
(*.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 #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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 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 (* (pow r 2) (+ 3 (* -3/8 (* (pow r 2) (pow w 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 binary64)) r) r #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -3/8 (* (pow r 2) (pow w 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 binary64)) r) r #s(literal 2 binary64)) (*.f64 r r)) |
3 |
#s(literal 3 binary64) |
(+ 3 (* -3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal 3 binary64)) |
(+ 3 (* -3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal 3 binary64)) |
(+ 3 (* -3/8 (* (pow r 2) (pow w 2)))) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) (*.f64 w w) #s(literal 3 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 #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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 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 #s(literal -3/2 binary64) (*.f64 r r) #s(literal 2 binary64)) r) r) |
(/ (+ 2 (* (pow r 2) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/4 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) (- (* -1/4 (* (pow r 2) (pow w 2))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) (*.f64 w w) #s(literal -3/2 binary64)) r) r #s(literal 2 binary64)) (*.f64 r r)) |
(* (pow r 2) (pow w 2)) |
(*.f64 (*.f64 w r) (*.f64 w r)) |
(* (pow r 2) (pow w 2)) |
(*.f64 (*.f64 w r) (*.f64 w r)) |
(* (pow r 2) (pow w 2)) |
(*.f64 (*.f64 w r) (*.f64 w r)) |
(* (pow r 2) (pow w 2)) |
(*.f64 (*.f64 w r) (*.f64 w r)) |
(* r (pow w 2)) |
(*.f64 (*.f64 w w) r) |
(* r (pow w 2)) |
(*.f64 (*.f64 w w) r) |
(* r (pow w 2)) |
(*.f64 (*.f64 w w) r) |
(* r (pow w 2)) |
(*.f64 (*.f64 w w) r) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.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 #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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 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 #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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 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) (pow w 2))) |
(/.f64 (/.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) w) w) |
(/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(/.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) w) (/.f64 (*.f64 r r) w) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)) |
(/ (+ (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
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(- (+ (* -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) (fma.f64 w (+.f64 (/.f64 w v) (/.f64 w (*.f64 v v))) (*.f64 w w)))) v)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (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)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 r r) v) (*.f64 w w)) (+.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 #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 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 r r) (fma.f64 w (+.f64 (/.f64 w v) (/.f64 w (*.f64 v v))) (*.f64 w 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 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) 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)))) |
(+.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (*.f64 (*.f64 (*.f64 w r) (*.f64 w r)) (+.f64 (/.f64 #s(literal -1/8 binary64) v) #s(literal 1/4 binary64)))) #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 r r) v) (*.f64 w w)) (+.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 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 r r) (fma.f64 w (+.f64 (/.f64 w v) (/.f64 w (*.f64 v v))) (*.f64 w w)))) v))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (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)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 r r) v) (*.f64 w w)) (+.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 #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 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 r r) (fma.f64 w (+.f64 (/.f64 w v) (/.f64 w (*.f64 v v))) (*.f64 w w)))) v)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64))) |
(* -1/4 (pow r 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r r)) |
(+ (* -1/4 (pow r 2)) (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v))) |
(*.f64 (*.f64 r r) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal -1/4 binary64))) |
(+ (* -1 (/ (+ (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2)))) (* 1/8 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v))) v)) (* -1/4 (pow r 2))) |
(fma.f64 (/.f64 (*.f64 r r) v) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (pow r 2)) (* 3 (pow r 2)))) (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v))) v)) (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (* -1/4 (pow r 2))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) r) r (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) r) r (*.f64 (/.f64 (*.f64 r r) v) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)))) v)) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w (-.f64 (/.f64 #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 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (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)) (* 2 (/ 1 (pow r 2)))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 r r) v) (*.f64 w w)) (+.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 #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 #s(literal 2 binary64) (*.f64 r r)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 r r) (fma.f64 w (+.f64 (/.f64 w v) (/.f64 w (*.f64 v v))) (*.f64 w w)))) v)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64))) |
(* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) r) r (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) w) w)) (*.f64 w w)) |
(+ (* 1/8 (/ (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2)))) v)) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))) |
(*.f64 (*.f64 w w) (fma.f64 (/.f64 (*.f64 r r) v) #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) r) r (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) w) w)))) |
(+ (* -1 (/ (+ (* -1/8 (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2))))) (* 1/8 (/ (* (pow w 2) (- (* 2 (pow r 2)) (* 3 (pow r 2)))) v))) v)) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 r r) v) (*.f64 w w)) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) r) r (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) w) w)) (*.f64 w w))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow w 2) (- (* 2 (pow r 2)) (* 3 (pow r 2))))) (* 1/8 (/ (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2)))) v))) v)) (* -1/8 (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2)))))) v)) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) r) r (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) w) w)) w) w (/.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 r r) (fma.f64 w (+.f64 (/.f64 w v) (/.f64 w (*.f64 v v))) (*.f64 w w)))) v)) |
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) r) r (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) w) w)) |
(- (+ (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(fma.f64 (/.f64 (*.f64 r r) v) #s(literal 1/8 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) r) r (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) w) w))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v)) (* 1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(fma.f64 (/.f64 (*.f64 r r) v) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)) (fma.f64 (*.f64 #s(literal -1/4 binary64) r) r (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) w) w))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 1/8 (- (* 2 (pow r 2)) (* 3 (pow r 2))))) v)) (* 1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) r) r (*.f64 (/.f64 (*.f64 r r) v) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)))) v) (fma.f64 (*.f64 #s(literal -1/4 binary64) r) r (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)) w) w))) |
(* -1/8 (/ (* (pow r 2) (pow w 2)) v)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (*.f64 w w) v)) |
(* -1 (/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) v)) |
(*.f64 (*.f64 (/.f64 (*.f64 r r) v) (*.f64 w w)) (+.f64 (/.f64 #s(literal -1/8 binary64) v) #s(literal -1/8 binary64))) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow r 2) (pow w 2))) (* -1/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* 1/8 (* (pow r 2) (pow w 2)))) v)) |
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 r r) (fma.f64 w (+.f64 (/.f64 w v) (/.f64 w (*.f64 v v))) (*.f64 w w)))) v) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* 1/8 (* (pow r 2) (pow w 2))) (* 1/8 (/ (* (pow r 2) (pow w 2)) v))) v)) (* -1/8 (* (pow r 2) (pow w 2)))) v)) (* 1/8 (* (pow r 2) (pow w 2)))) v)) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) w) w (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 r r) (fma.f64 w (+.f64 (/.f64 w v) (/.f64 w (*.f64 v v))) (*.f64 w w)))) v)) v) |
(* -1 (/ (* (pow r 2) w) v)) |
(*.f64 (/.f64 (neg.f64 w) v) (*.f64 r r)) |
(* -1 (/ (+ (* (pow r 2) w) (/ (* (pow r 2) w) v)) v)) |
(/.f64 (neg.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 w v) w))) v) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow r 2) w) v)) (* (pow r 2) w)) v)) (* (pow r 2) w)) v)) |
(/.f64 (neg.f64 (*.f64 (*.f64 r r) (+.f64 (+.f64 w (/.f64 w (*.f64 v v))) (/.f64 w v)))) v) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow r 2) w) v) (* -1 (* (pow r 2) w))) v)) (* (pow r 2) w)) v)) (* (pow r 2) w)) v)) |
(/.f64 (neg.f64 (fma.f64 (*.f64 r r) (+.f64 (/.f64 w (pow.f64 v #s(literal 3 binary64))) w) (/.f64 (*.f64 (*.f64 r r) (+.f64 (/.f64 w v) w)) v))) v) |
2 |
#s(literal 2 binary64) |
(- 2 (/ 1 v)) |
(-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) v)) |
(+ 2 (* -1 (/ (+ 1 (/ 1 v)) v))) |
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) v) #s(literal 1 binary64)) v)) |
(+ 2 (* -1 (/ (+ 1 (+ (/ 1 v) (/ 1 (pow v 2)))) v))) |
(-.f64 #s(literal 2 binary64) (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) v) v)) (/.f64 #s(literal 1 binary64) v)) v)) |
| 4 492× | lower-*.f32 |
| 4 464× | lower-*.f64 |
| 3 918× | lower-fma.f32 |
| 3 912× | lower-fma.f64 |
| 3 186× | lower-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 584 |
| 0 | 105 | 576 |
| 1 | 469 | 538 |
| 2 | 4337 | 538 |
| 0 | 8135 | 509 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) #s(literal 9/2 binary64)) |
(-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) |
(+.f64 #s(literal 3 binary64) (/.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(literal 3/2 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(*.f64 r r) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) 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))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) |
#s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #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 -1/4 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 -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 (*.f64 w w) r) r) |
(*.f64 (*.f64 w w) r) |
(*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 w w))) |
(*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 w w)) |
#s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) |
(*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) |
(/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) v)) |
(*.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 3 binary64)))) (+.f64 (fma.f64 v v v) #s(literal 1 binary64))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) w) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r)) w) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) w) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 r w)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 #s(literal 1/8 binary64) w))) (*.f64 r w)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) r)) (*.f64 #s(literal 1/8 binary64) w)) |
(*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) w) (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r)) w)) |
(*.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)))) |
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 #s(literal 1/8 binary64) w)) (*.f64 (*.f64 r w) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) |
(*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) r) (*.f64 w w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) w) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) r)) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) v) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)))) |
(*.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 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 w (*.f64 #s(literal 1/8 binary64) w))) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) r) (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) w)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) w) (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) r) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) |
(*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)))) |
(*.f64 #s(literal 1/8 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (/.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 w (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r)) w) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 #s(literal 1/8 binary64) (/.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 w (*.f64 #s(literal 1/8 binary64) w)))) |
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 2 binary64))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 w (*.f64 #s(literal 1/8 binary64) w)))) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -9 binary64)) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 w (*.f64 #s(literal 1/8 binary64) w)))) (fma.f64 #s(literal -2 binary64) v #s(literal -3 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 w (*.f64 #s(literal 1/8 binary64) w)))) (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 v #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 w (*.f64 #s(literal 1/8 binary64) w)))) (fma.f64 #s(literal 4 binary64) (*.f64 v v) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64))))) |
(/.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) w) (*.f64 (*.f64 r r) w)) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 w (*.f64 #s(literal 1/8 binary64) w))) (-.f64 #s(literal 9 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 2 binary64)))) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 w (*.f64 #s(literal 1/8 binary64) w))) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -9 binary64))) (fma.f64 #s(literal -2 binary64) v #s(literal -3 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 w (*.f64 #s(literal 1/8 binary64) w))) (-.f64 #s(literal 27 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 w (*.f64 #s(literal 1/8 binary64) w))) (fma.f64 #s(literal -8 binary64) (pow.f64 v #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 v v) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))))) |
(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) v))) |
(fma.f64 (*.f64 #s(literal -2 binary64) v) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 w (*.f64 #s(literal 1/8 binary64) w))) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 w (*.f64 #s(literal 1/8 binary64) w))))) |
(fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 w (*.f64 #s(literal 1/8 binary64) w))) (*.f64 #s(literal -2 binary64) v) (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 w (*.f64 #s(literal 1/8 binary64) w))) #s(literal 3 binary64))) |
(fma.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 w (*.f64 #s(literal 1/8 binary64) w))) #s(literal 3 binary64) (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 w (*.f64 #s(literal 1/8 binary64) w))) (*.f64 #s(literal -2 binary64) v))) |
(fma.f64 #s(literal 3 binary64) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 w (*.f64 #s(literal 1/8 binary64) w))) (*.f64 (*.f64 #s(literal -2 binary64) v) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 w (*.f64 #s(literal 1/8 binary64) w))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 #s(literal -2 binary64) v) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 w (*.f64 #s(literal 1/8 binary64) w)))) (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 w (*.f64 #s(literal 1/8 binary64) w))))) |
(+.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 w (*.f64 #s(literal 1/8 binary64) w)))) (*.f64 (*.f64 #s(literal -2 binary64) v) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 w (*.f64 #s(literal 1/8 binary64) w))))) |
(+.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 w (*.f64 #s(literal 1/8 binary64) w))) (*.f64 #s(literal -2 binary64) v)) (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 w (*.f64 #s(literal 1/8 binary64) w))) #s(literal 3 binary64))) |
(+.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 w (*.f64 #s(literal 1/8 binary64) w))) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 w (*.f64 #s(literal 1/8 binary64) w))) (*.f64 #s(literal -2 binary64) v))) |
(*.f64 (-.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64)) #s(literal 81/4 binary64)) (pow.f64 (+.f64 (-.f64 (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (-.f64 (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 3 binary64)) #s(literal 729/8 binary64)) (pow.f64 (+.f64 (fma.f64 (-.f64 (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64) #s(literal 81/4 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64)) (/.f64 (*.f64 (*.f64 (pow.f64 (*.f64 r w) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
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(/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 r (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) r)))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 #s(literal -1/8 binary64) (*.f64 r r)))) (*.f64 w w))) |
(*.f64 (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 #s(literal -1/8 binary64) (*.f64 r r)))) w) w) |
(*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 #s(literal -1/8 binary64) (*.f64 r r)))) (*.f64 w w)) |
(*.f64 (*.f64 w w) #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 #s(literal -1/8 binary64) (*.f64 r r))))) |
(*.f64 w (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 #s(literal -1/8 binary64) (*.f64 r r)))) w)) |
#s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (*.f64 #s(literal -1/8 binary64) (*.f64 r r)))) |
(*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 #s(literal 1/8 binary64) w)) r) w) |
(*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 #s(literal 1/8 binary64) w)) w) r) |
(*.f64 (*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) r) w) #s(literal 1/8 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) w) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r)) w) |
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) w) (*.f64 r w)) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r)) w) w) |
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) (*.f64 w (*.f64 #s(literal 1/8 binary64) w))) |
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 #s(literal 1/8 binary64) w)) (*.f64 r w)) |
(*.f64 (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) r) (*.f64 #s(literal 1/8 binary64) w)) |
(*.f64 (*.f64 r w) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 #s(literal 1/8 binary64) w))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 (*.f64 r w) (*.f64 #s(literal 1/8 binary64) w))) |
(*.f64 (*.f64 #s(literal 1/8 binary64) w) (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) r)) |
(*.f64 #s(literal 1/8 binary64) (*.f64 w (*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) r))) |
(*.f64 w (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r)) w)) |
(/.f64 (*.f64 (*.f64 (*.f64 r r) w) (*.f64 #s(literal 1/8 binary64) w)) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) w) (*.f64 (*.f64 r r) w)) (-.f64 #s(literal 1 binary64) v)) |
(*.f64 (/.f64 (*.f64 (*.f64 r r) w) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) v)) |
(*.f64 (/.f64 (*.f64 (*.f64 r r) w) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 3 binary64)))) (+.f64 (fma.f64 v v v) #s(literal 1 binary64))) |
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) w) r) |
(*.f64 (*.f64 (*.f64 r r) w) (pow.f64 (-.f64 #s(literal 1 binary64) v) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r) w) |
(*.f64 (*.f64 r w) (/.f64 r (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w)) |
(*.f64 r (/.f64 (*.f64 r w) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 r (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (*.f64 r w))) |
(*.f64 r (*.f64 w (/.f64 r (-.f64 #s(literal 1 binary64) v)))) |
(*.f64 w (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) r)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 r r) w)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 r) (*.f64 r w)) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 r w)) (/.f64 (-.f64 #s(literal 1 binary64) v) r)) |
(/.f64 (*.f64 (*.f64 r w) (neg.f64 r)) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (*.f64 (*.f64 r w) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) v) r)) |
(/.f64 (neg.f64 (*.f64 (*.f64 r r) w)) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (*.f64 (*.f64 r r) w) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 (*.f64 r w) (/.f64 (-.f64 #s(literal 1 binary64) v) r)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) v) (*.f64 (*.f64 r r) w))) |
(*.f64 (*.f64 #s(literal -3/8 binary64) r) (*.f64 w w)) |
(*.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) w) |
(*.f64 (*.f64 r #s(literal -3/8 binary64)) (*.f64 w w)) |
(*.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 r w)) |
(*.f64 (*.f64 (*.f64 w w) r) #s(literal -3/8 binary64)) |
(*.f64 (*.f64 (*.f64 w w) #s(literal -3/8 binary64)) r) |
(*.f64 (*.f64 w w) (*.f64 #s(literal -3/8 binary64) r)) |
(*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 w w) r)) |
(*.f64 r (*.f64 (*.f64 w w) #s(literal -3/8 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 9 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -9 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) v #s(literal -3 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (-.f64 #s(literal 27 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 #s(literal -8 binary64) (pow.f64 v #s(literal 3 binary64)) #s(literal 27 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) v)) |
(*.f64 (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 v #s(literal 3 binary64)))) (+.f64 (fma.f64 v v v) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) v) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) |
(*.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) v) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 2 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) v) #s(literal -1 binary64))) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -9 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) v) #s(literal -1 binary64))) (fma.f64 #s(literal -2 binary64) v #s(literal -3 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) v) #s(literal -1 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 v #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) v) #s(literal -1 binary64))) (fma.f64 #s(literal 4 binary64) (*.f64 v v) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64))))) |
(/.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) v)))) |
(/.f64 (*.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal -3 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (*.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(/.f64 (*.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 v #s(literal 3 binary64)) #s(literal 27 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64)))) (-.f64 #s(literal 1 binary64) v))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))))) |
(/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)))) |
(/.f64 (fma.f64 #s(literal 4 binary64) (*.f64 v v) #s(literal -9 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 #s(literal -2 binary64) v #s(literal -3 binary64)))) |
(/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (*.f64 #s(literal -2 binary64) v) #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 (*.f64 #s(literal 2 binary64) v) (fma.f64 #s(literal 2 binary64) v #s(literal 3 binary64)) #s(literal 9 binary64)))) |
(/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 v #s(literal 3 binary64)) #s(literal 27 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 #s(literal 4 binary64) (*.f64 v v) (-.f64 #s(literal 9 binary64) (*.f64 v #s(literal -6 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) v))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) |
(/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) v))) |
(neg.f64 (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) v)))) |
(-.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(literal 1 binary64) v)) (/.f64 (*.f64 #s(literal 2 binary64) v) (-.f64 #s(literal 1 binary64) v))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) v) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) #s(literal -1 binary64))) |
Compiled 32 787 to 2 772 computations (91.5% saved)
29 alts after pruning (25 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 255 | 16 | 1 271 |
| Fresh | 6 | 9 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 263 | 29 | 1 292 |
| Status | Accuracy | Program |
|---|---|---|
| 87.2% | (-.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)) | |
| 49.1% | (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) #s(literal 9/2 binary64)) | |
| 49.2% | (-.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)) | |
| ▶ | 92.0% | (-.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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
| 51.1% | (-.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)) | |
| 45.0% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) w) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) | |
| ✓ | 44.1% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
| 44.9% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 r w)) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) | |
| 39.6% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 w (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) | |
| 35.8% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) #s(literal -3/8 binary64)) r))) #s(literal 9/2 binary64)) | |
| 33.4% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) | |
| 67.6% | #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) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) | |
| 40.9% | #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) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) | |
| 88.2% | #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 r w) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) | |
| ▶ | 48.7% | #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) r) r)) |
| ✓ | 48.7% | #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))) |
| ✓ | 59.6% | #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))) |
| ▶ | 77.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
| 48.8% | #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))) | |
| 23.6% | #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)) #s(approx (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w))) (/.f64 #s(literal 3/2 binary64) (*.f64 w w)))) (*.f64 w w))) | |
| 32.0% | #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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v)))))) | |
| ✓ | 33.3% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 w w))) |
| 27.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(approx (/ (+ (* v -2) 3) (- 1 v)) (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) v) v #s(literal 1 binary64)) v #s(literal 3 binary64))))) (*.f64 w w))) | |
| 31.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(approx (/ (+ (* v -2) 3) (- 1 v)) (fma.f64 (+.f64 #s(literal 1 binary64) v) v #s(literal 3 binary64))))) (*.f64 w w))) | |
| ▶ | 27.6% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) (*.f64 w w))) |
| 29.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))) (*.f64 w w))) | |
| 31.5% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -3/8 binary64) (*.f64 r r)))) (*.f64 w w))) | |
| ▶ | 11.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
| 31.6% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) |
Compiled 810 to 710 computations (12.3% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) | |
| cost-diff | 0 | (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.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 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) | |
| cost-diff | 128 | (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) | |
| cost-diff | 0 | #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))) | |
| cost-diff | 0 | #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) | |
| cost-diff | 0 | (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) (*.f64 w w)) | |
| cost-diff | 0 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) (*.f64 w w))) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) r) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 384 | (/.f64 (/.f64 #s(literal 2 binary64) r) r) | |
| cost-diff | 0 | #s(approx (- (/ 2 (* r r)) 3/2) #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) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) | |
| cost-diff | 0 | (*.f64 (*.f64 (*.f64 r w) r) w) | |
| cost-diff | 0 | (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 binary64))) | |
| cost-diff | 0 | #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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) | |
| cost-diff | 0 | (-.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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
| 8 838× | lower-fma.f32 |
| 8 832× | lower-fma.f64 |
| 5 850× | lower-*.f32 |
| 5 830× | lower-*.f64 |
| 2 498× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 611 |
| 0 | 99 | 607 |
| 1 | 205 | 607 |
| 2 | 479 | 577 |
| 3 | 1618 | 573 |
| 4 | 4895 | 573 |
| 0 | 8080 | 551 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.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 r w) r) w) (+.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))) (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 binary64)))) |
(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 binary64))) |
#s(literal -3/8 binary64) |
(*.f64 (*.f64 (*.f64 r w) r) w) |
(*.f64 (*.f64 r w) r) |
(*.f64 r w) |
r |
w |
(+.f64 (/.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) |
#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) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
#s(approx (- (/ 2 (* r r)) 3/2) #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) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(/.f64 #s(literal 2 binary64) r) |
#s(literal 2 binary64) |
r |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) (*.f64 w w))) |
(*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) (*.f64 w w)) |
#s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) |
#s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))) |
(*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))) |
(*.f64 r r) |
r |
(fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) |
#s(literal -1/8 binary64) |
v |
#s(literal -3/8 binary64) |
(*.f64 w w) |
w |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(*.f64 (*.f64 w w) r) |
(*.f64 w w) |
w |
r |
(-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) |
(*.f64 v #s(literal -1/8 binary64)) |
v |
#s(literal -1/8 binary64) |
#s(literal 3/8 binary64) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
| Outputs |
|---|
(-.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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) #s(literal -3/8 binary64)) 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))) (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 binary64)))) |
#s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) #s(literal -3/8 binary64)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) |
(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 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 w w) r) #s(literal -3/8 binary64)) r (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64))) |
#s(literal -3/8 binary64) |
(*.f64 (*.f64 (*.f64 r w) r) w) |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(*.f64 (*.f64 r w) r) |
(*.f64 (*.f64 w r) r) |
(*.f64 r w) |
(*.f64 w r) |
r |
w |
(+.f64 (/.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) |
#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) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
#s(approx (- (/ 2 (* r r)) 3/2) #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) (/.f64 (/.f64 #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) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(/.f64 #s(literal 2 binary64) r) |
#s(literal 2 binary64) |
r |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 w w) #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) r))))) |
(*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) (*.f64 w w)) |
(*.f64 (*.f64 w w) #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) r)))) |
#s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) |
#s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) r))) |
#s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))) |
#s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) r)) |
(*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) r) |
(*.f64 r r) |
r |
(fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) |
#s(literal -1/8 binary64) |
v |
#s(literal -3/8 binary64) |
(*.f64 w w) |
w |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.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) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) w) (*.f64 w r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) w) (*.f64 w r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
(fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(*.f64 (*.f64 w w) r) |
(*.f64 w w) |
w |
r |
(-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) |
(fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) |
(*.f64 v #s(literal -1/8 binary64)) |
(*.f64 #s(literal -1/8 binary64) v) |
v |
#s(literal -1/8 binary64) |
#s(literal 3/8 binary64) |
#s(literal -3/2 binary64) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
#s(literal 2 binary64) |
(*.f64 r r) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.4496472380311086 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 4.331352242188221 | (*.f64 (*.f64 (*.f64 w w) r) r) | |
| accuracy | 8.790334947904316 | (*.f64 (*.f64 w w) r) | |
| accuracy | 9.782625846482427 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) | |
| accuracy | 4.632991882265915 | (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))) | |
| accuracy | 20.374124467816088 | (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) (*.f64 w w)) | |
| accuracy | 20.93430691331616 | #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))) | |
| accuracy | 34.99031152009135 | #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) | |
| accuracy | 0 | (/.f64 #s(literal 2 binary64) r) | |
| accuracy | 0.109375 | (/.f64 (/.f64 #s(literal 2 binary64) r) r) | |
| accuracy | 32.79568319371642 | #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)) | |
| accuracy | 25.807581242655875 | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) | |
| accuracy | 34.77916343820702 | #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)) | |
| accuracy | 0.2634454055396752 | (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 binary64))) | |
| accuracy | 0.4496472380311086 | (/.f64 #s(literal 2 binary64) (*.f64 r r)) | |
| accuracy | 3.867260802973735 | #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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) | |
| accuracy | 4.30054637088714 | (*.f64 (*.f64 (*.f64 r w) r) w) |
| 90.0ms | 256× | 0 | valid |
Compiled 425 to 63 computations (85.2% saved)
ival-mult: 34.0ms (50.1% of total)ival-div: 14.0ms (20.6% of total)ival-add: 10.0ms (14.7% of total)ival-sub: 9.0ms (13.3% of total)exact: 1.0ms (1.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) (patch (-.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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #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))) (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 binary64)))) (patch #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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #<representation binary64>) () ()) |
#s(alt (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 binary64))) (patch (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 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 r w) r) w) (patch (*.f64 (*.f64 (*.f64 r w) r) w) #<representation binary64>) () ()) |
#s(alt #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #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) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)) (patch #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 2 binary64) r) r) (patch (/.f64 (/.f64 #s(literal 2 binary64) 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) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) (patch #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)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) r) (patch (/.f64 #s(literal 2 binary64) r) #<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(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) (*.f64 w w))) (patch #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) (*.f64 w w))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) (*.f64 w w)) (patch (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) (*.f64 w w)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) (patch #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))) (patch #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) (patch (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 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 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.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 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) #<representation binary64>) () ()) |
#s(alt (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (patch (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (patch (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 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 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))) (patch (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))) #<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>) () ()) |
| Outputs |
|---|
#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))) (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 binary64)))) #s(literal 9/2 binary64)) (patch (-.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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #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 #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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) (patch (-.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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #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 #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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) (patch (-.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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #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 #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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) (patch (-.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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 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))) (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 binary64)))) (patch #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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ 2 (* 3 (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))) (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 binary64)))) (patch #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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #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 #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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) (patch #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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #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 #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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) (patch #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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | r | @ | inf | ((- (- (+ 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))) (+ (* -3/8 (* (* (* r w) r) w)) (+ (/ 2 (* r r)) 3)) (* (* (* r w) r) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (/ (/ 2 r) r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ 2 r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (* (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (* w w)) (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (- (* v -1/8) 3/8) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r)) (* (* r r) (+ (* -1/8 v) -3/8)) (* (* w w) r) (* (* (* w w) r) r)) |
| 3.0ms | r | @ | 0 | ((- (- (+ 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))) (+ (* -3/8 (* (* (* r w) r) w)) (+ (/ 2 (* r r)) 3)) (* (* (* r w) r) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (/ (/ 2 r) r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ 2 r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (* (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (* w w)) (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (- (* v -1/8) 3/8) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r)) (* (* r r) (+ (* -1/8 v) -3/8)) (* (* w w) r) (* (* (* w w) r) r)) |
| 3.0ms | r | @ | -inf | ((- (- (+ 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))) (+ (* -3/8 (* (* (* r w) r) w)) (+ (/ 2 (* r r)) 3)) (* (* (* r w) r) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (/ (/ 2 r) r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ 2 r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (* (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (* w w)) (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (- (* v -1/8) 3/8) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r)) (* (* r r) (+ (* -1/8 v) -3/8)) (* (* w w) r) (* (* (* w w) r) r)) |
| 3.0ms | w | @ | inf | ((- (- (+ 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))) (+ (* -3/8 (* (* (* r w) r) w)) (+ (/ 2 (* r r)) 3)) (* (* (* r w) r) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (/ (/ 2 r) r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ 2 r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (* (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (* w w)) (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (- (* v -1/8) 3/8) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r)) (* (* r r) (+ (* -1/8 v) -3/8)) (* (* w w) r) (* (* (* w w) r) r)) |
| 3.0ms | w | @ | -inf | ((- (- (+ 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))) (+ (* -3/8 (* (* (* r w) r) w)) (+ (/ 2 (* r r)) 3)) (* (* (* r w) r) w) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (- (/ 2 (* r r)) 3/2) (/ (/ 2 r) r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (/ 2 r) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (* (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (* w w)) (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (- (* v -1/8) 3/8) (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+ (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r))) (+ (* (* (* (* w w) r) r) (- (* v -1/8) 3/8)) -3/2) (/ 2 (* r r)) (* (* r r) (+ (* -1/8 v) -3/8)) (* (* w w) r) (* (* (* w w) r) r)) |
| 1× | egg-herbie |
| 17 108× | lower-fma.f64 |
| 17 108× | lower-fma.f32 |
| 5 448× | lower-*.f64 |
| 5 448× | lower-*.f32 |
| 2 974× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 449 | 11928 |
| 1 | 1477 | 11181 |
| 2 | 4956 | 10468 |
| 0 | 8257 | 9764 |
| 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)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* 3 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -3/8 (* (pow r 2) (pow w 2)))))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -3/8 (* (pow r 2) (pow w 2)))))) (pow r 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)) |
(/ 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 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 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 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 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) (- (* -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) (pow w 2))) |
(/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(/ (+ (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(/ (+ (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(* -1/8 (/ (* (pow r 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)) |
(/ 2 (pow r 2)) |
(/ (+ 2 (* -3/2 (pow r 2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2))) (pow r 2)) |
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2))) (pow r 2)) |
-3/2 |
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2) |
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2) |
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(/ 2 (pow r 2)) |
(* (pow r 2) (- (* -1/8 v) 3/8)) |
(* (pow r 2) (- (* -1/8 v) 3/8)) |
(* (pow r 2) (- (* -1/8 v) 3/8)) |
(* (pow r 2) (- (* -1/8 v) 3/8)) |
(* 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 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))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 3 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))))) |
(* (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 (* (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)))))) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(/ 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)))))) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
(* -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) (- (* -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))))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(* -1 (* (pow r 2) (+ (* 1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (* 3/2 (/ 1 (* (pow r 2) (pow w 2))))))) |
(* (pow r 2) (- (/ 2 (* (pow r 4) (pow w 2))) (+ (* 1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 3/2 (* (pow r 2) (pow w 2)))))) |
(* (pow r 2) (- (/ 2 (* (pow r 4) (pow w 2))) (+ (* 1/8 (/ (+ 3 (* -2 v)) (- 1 v))) (/ 3/2 (* (pow r 2) (pow w 2)))))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(* -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 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) (- (* -1/8 v) 3/8))) |
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (+ (* (pow w 2) (- (* -1/8 v) 3/8)) (/ 2 (pow r 4))) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) |
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 3/2 (/ 1 (pow r 2))))) |
(* (pow r 2) (- (* (pow w 2) (- (* -1/8 v) 3/8)) (* 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) (- (* -1/8 v) 3/8)) |
(* (pow r 2) (- (* -1/8 v) 3/8)) |
(* (pow r 2) (- (* -1/8 v) 3/8)) |
(* (pow r 2) (- (* -1/8 v) 3/8)) |
(* 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 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))))) |
(* -3/8 (* (pow r 2) (pow w 2))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (* 3 (/ 1 (pow r 2))))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))))) |
(* (pow r 2) (+ (* -3/8 (pow w 2)) (+ (* 3 (/ 1 (pow r 2))) (/ 2 (pow r 4))))) |
(* (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 (* (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)))))) |
-3/2 |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(- (* 2 (/ 1 (pow r 2))) 3/2) |
(/ 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)))))) |
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(/ 2 r) |
(/ 2 r) |
(/ 2 r) |
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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)))))) |
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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)))))) |
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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)))))) |
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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))))) |
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(- (/ 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) (- (/ 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) (- (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (/ 2 (* (pow r 2) (pow w 2)))) (* 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)))))) |
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(* (pow w 2) (+ (* -3/8 (pow r 2)) (+ (* 3 (/ 1 (pow w 2))) (/ 2 (* (pow r 2) (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)))))) |
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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)))))) |
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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))))) |
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(- (/ 2 (* (pow r 2) (pow w 2))) (+ (* 1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (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) (- (/ 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) (- (+ (* (pow r 2) (- (* -1/8 v) 3/8)) (/ 2 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 (pow w 2))))) |
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(- (+ (* -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))))) |
(- (* 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))))) |
(* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(+ (* -1/8 (* v (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2)))))) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))) |
(+ (* v (+ (* -1/8 (* v (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2)))))) (* -1/8 (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2))))))) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))) |
(+ (* v (+ (* -1/8 (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* v (+ (* -1/8 (* v (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2)))))) (* -1/8 (* (pow w 2) (- (* -2 (pow r 2)) (* -3 (pow r 2))))))))) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))) |
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(- (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(- (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* v (- (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* 1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2))))))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(- (+ (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (* v (- (* v (- (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* 1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))))) (* 1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2))))))) (+ (* 3/8 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* -3/8 (pow r 2)) |
(+ (* -3/8 (pow r 2)) (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2)))))) |
(+ (* -3/8 (pow r 2)) (* v (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2))))))) |
(+ (* -3/8 (pow r 2)) (* v (+ (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2)))) (* v (+ (* -1/8 (* v (- (* -2 (pow r 2)) (* -3 (pow r 2))))) (* -1/8 (- (* -2 (pow r 2)) (* -3 (pow r 2))))))))) |
-3/8 |
(- (* -1/8 v) 3/8) |
(- (* -1/8 v) 3/8) |
(- (* -1/8 v) 3/8) |
(- (* 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))))) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (+ (* -1/8 (* (pow r 2) (* v (pow w 2)))) (* 2 (/ 1 (pow r 2))))) 3/2) |
(- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -1/8 (* (pow r 2) (* v (pow w 2))))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -1/8 (* (pow r 2) (* v (pow w 2))))) 3/2) |
(- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* -1/8 (* (pow r 2) (* v (pow w 2))))) 3/2) |
(* -3/8 (pow r 2)) |
(+ (* -3/8 (pow r 2)) (* -1/8 (* (pow r 2) v))) |
(+ (* -3/8 (pow r 2)) (* -1/8 (* (pow r 2) v))) |
(+ (* -3/8 (pow r 2)) (* -1/8 (* (pow r 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)) (* 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 (/ 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))))))) |
(* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) v)) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))) |
(+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) v)) (+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) (pow v 2))) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))))) |
(+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) v)) (+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) (pow v 2))) (+ (* -1/8 (/ (* (pow w 2) (- (* -3 (pow r 2)) (* -2 (pow r 2)))) (pow v 3))) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))))) |
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(- (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (+ (* 1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(- (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 3))) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (+ (* 1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* 1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))) |
(* -1/4 (pow r 2)) |
(+ (* -1/4 (pow r 2)) (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v))) |
(+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))))) |
(+ (* -1/4 (pow r 2)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) v)) (+ (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 2))) (* -1/8 (/ (- (* -3 (pow r 2)) (* -2 (pow r 2))) (pow v 3)))))) |
(* -1/8 v) |
(* -1 (* v (+ 1/8 (* 3/8 (/ 1 v))))) |
(* -1 (* v (+ 1/8 (* 3/8 (/ 1 v))))) |
(* -1 (* v (+ 1/8 (* 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))))) |
(- (+ (* -1/8 (/ (- (* -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))))))) |
(* -1/8 (* (pow r 2) (* v (pow w 2)))) |
(* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (* (pow r 2) (pow w 2))) (/ 2 (* (pow r 2) v)))) (* 3/2 (/ 1 v)))) |
(* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (* (pow r 2) (pow w 2))) (/ 2 (* (pow r 2) v)))) (* 3/2 (/ 1 v)))) |
(* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (+ (* -1/8 (* (pow r 2) (pow w 2))) (/ 2 (* (pow r 2) v)))) (* 3/2 (/ 1 v)))) |
(* -1/8 (* (pow r 2) (* v (pow w 2)))) |
(* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 v)))) |
(* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 v)))) |
(* v (- (+ (* -3/8 (/ (* (pow r 2) (pow w 2)) v)) (* -1/8 (* (pow r 2) (pow w 2)))) (* 3/2 (/ 1 v)))) |
(* -1/8 (* (pow r 2) v)) |
(* v (+ (* -3/8 (/ (pow r 2) v)) (* -1/8 (pow r 2)))) |
(* v (+ (* -3/8 (/ (pow r 2) v)) (* -1/8 (pow r 2)))) |
(* v (+ (* -3/8 (/ (pow r 2) v)) (* -1/8 (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))))) |
(- (+ 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))))) |
(- (* 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))))) |
(* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(+ (* 1/8 (/ (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2)))) v)) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))) |
(+ (* -1 (/ (+ (* -1/8 (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2))))) (* 1/8 (/ (* (pow w 2) (- (* 2 (pow r 2)) (* 3 (pow r 2)))) v))) v)) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow w 2) (- (* 2 (pow r 2)) (* 3 (pow r 2))))) (* 1/8 (/ (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2)))) v))) v)) (* -1/8 (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2)))))) v)) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))) |
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(- (+ (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v)) (* 1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 1/8 (- (* 2 (pow r 2)) (* 3 (pow r 2))))) v)) (* 1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(* -1/4 (pow r 2)) |
(+ (* -1/4 (pow r 2)) (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v))) |
(+ (* -1 (/ (+ (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2)))) (* 1/8 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v))) v)) (* -1/4 (pow r 2))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (pow r 2)) (* 3 (pow r 2)))) (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v))) v)) (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (* -1/4 (pow r 2))) |
(* -1/8 v) |
(* -1 (* v (+ 1/8 (* 3/8 (/ 1 v))))) |
(* -1 (* v (+ 1/8 (* 3/8 (/ 1 v))))) |
(* -1 (* v (+ 1/8 (* 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))))) |
(* -1/8 (* (pow r 2) (* v (pow w 2)))) |
(* -1 (* v (+ (* -1 (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -1 (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -1 (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2)))))) |
(* -1/8 (* (pow r 2) (* v (pow w 2)))) |
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2)))))) |
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2)))))) |
(* -1/8 (* (pow r 2) v)) |
(* -1 (* v (+ (* 1/8 (pow r 2)) (* 3/8 (/ (pow r 2) v))))) |
(* -1 (* v (+ (* 1/8 (pow r 2)) (* 3/8 (/ (pow r 2) v))))) |
(* -1 (* v (+ (* 1/8 (pow r 2)) (* 3/8 (/ (pow r 2) v))))) |
| Outputs |
|---|
(/ 2 (pow r 2)) |
(/.f64 (/.f64 #s(literal 2 binary64) 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 (/.f64 #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) (+ 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)) |
(/ (+ 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)) |
(/ 2 (pow r 2)) |
(/.f64 (/.f64 #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) (+ 3 (* -3/8 (* (pow r 2) (pow w 2)))))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (+ 3 (* -3/8 (* (pow r 2) (pow w 2)))))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(* (pow r 2) (pow w 2)) |
(*.f64 (*.f64 (*.f64 r r) w) w) |
(* (pow r 2) (pow w 2)) |
(*.f64 (*.f64 (*.f64 r r) w) w) |
(* (pow r 2) (pow w 2)) |
(*.f64 (*.f64 (*.f64 r r) w) w) |
(* (pow r 2) (pow w 2)) |
(*.f64 (*.f64 (*.f64 r r) w) w) |
(/ 2 (pow r 2)) |
(/.f64 (/.f64 #s(literal 2 binary64) 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 (/.f64 #s(literal 2 binary64) 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 (* -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 (* -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)) |
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(/ 2 (pow r 2)) |
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(/ 2 (pow r 2)) |
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(/ 2 (pow r 2)) |
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(/ 2 (pow r 2)) |
(/.f64 (/.f64 #s(literal 2 binary64) 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 r) |
(/.f64 #s(literal 2 binary64) r) |
(/ 2 r) |
(/.f64 #s(literal 2 binary64) r) |
(/ 2 r) |
(/.f64 #s(literal 2 binary64) r) |
(/ 2 r) |
(/.f64 #s(literal 2 binary64) r) |
(/ 2 (pow r 2)) |
(/.f64 (/.f64 #s(literal 2 binary64) 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 (/.f64 #s(literal 2 binary64) 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) (pow w 2))) |
(/.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) w) w) |
(/ (+ (* -3/2 (/ (pow r 2) (pow w 2))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/2 binary64) r) w) (/.f64 r w) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)) |
(/ (+ (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)) |
(/ (+ (* (pow r 2) (- (* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) (* 3/2 (/ 1 (pow w 2))))) (* 2 (/ 1 (pow w 2)))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))) (*.f64 r r) (/.f64 #s(literal 2 binary64) (*.f64 w w))) (*.f64 r r)) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(* -1/8 (/ (* (pow r 2) (+ 3 (* -2 v))) (- 1 v))) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (/.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v))) |
(/ 2 (pow r 2)) |
(/.f64 (/.f64 #s(literal 2 binary64) 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 (/.f64 #s(literal 2 binary64) 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) (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
(/ (+ 2 (* (pow r 2) (- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2))) (pow r 2)) |
(/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64)) (*.f64 r r) #s(literal 2 binary64)) (*.f64 r r)) |
-3/2 |
#s(literal -3/2 binary64) |
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2) |
(fma.f64 (*.f64 (*.f64 (fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) w) w) (*.f64 r r) #s(literal -3/2 binary64)) |
(- (* (pow r 2) (* (pow w 2) (- (* -1/8 v) 3/8))) 3/2) |
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(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) 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 (/.f64 (/.f64 #s(literal 2 binary64) r) r) (fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (-.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)) (* 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 (/.f64 #s(literal 2 binary64) 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 (fma.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) w) w (*.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)))) v) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64))) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) 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 (/.f64 (/.f64 #s(literal 2 binary64) r) r) (fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (-.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)) (* 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 (/.f64 #s(literal 2 binary64) 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 (fma.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) w) w (*.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)))) v) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64))) |
(* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2)))))) |
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 3/2 binary64)) w) w) (*.f64 #s(literal 1/4 binary64) (*.f64 r r))) (*.f64 w w)) |
(+ (* 1/8 (/ (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2)))) v)) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))) |
(*.f64 (*.f64 w w) (+.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) w) w) (fma.f64 (*.f64 r r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w))))) |
(+ (* -1 (/ (+ (* -1/8 (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2))))) (* 1/8 (/ (* (pow w 2) (- (* 2 (pow r 2)) (* 3 (pow r 2)))) v))) v)) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (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 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 3/2 binary64)) w) w) (*.f64 #s(literal 1/4 binary64) (*.f64 r r))) (*.f64 w w))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (pow w 2) (- (* 2 (pow r 2)) (* 3 (pow r 2))))) (* 1/8 (/ (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2)))) v))) v)) (* -1/8 (* (pow w 2) (- (* 3 (pow r 2)) (* 2 (pow r 2)))))) v)) (* (pow w 2) (- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))))) |
(fma.f64 (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 3/2 binary64)) w) w) (*.f64 #s(literal 1/4 binary64) (*.f64 r r))) (*.f64 w w) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) w) w (*.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)))) v)) |
(- (* 2 (/ 1 (* (pow r 2) (pow w 2)))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 3/2 binary64)) w) w) (*.f64 #s(literal 1/4 binary64) (*.f64 r r))) |
(- (+ (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(+.f64 (/.f64 (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) w) w) (fma.f64 (*.f64 r r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64)) (/.f64 #s(literal -3/2 binary64) (*.f64 w w)))) |
(- (+ (* -1 (/ (- (* 1/8 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v)) (* 1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(fma.f64 (/.f64 (*.f64 r r) v) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 3/2 binary64)) w) w) (*.f64 #s(literal 1/4 binary64) (*.f64 r r)))) |
(- (+ (* -1 (/ (- (* -1 (/ (- (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v)) (* 1/8 (- (* 2 (pow r 2)) (* 3 (pow r 2))))) v)) (* 1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (* 2 (/ 1 (* (pow r 2) (pow w 2))))) (+ (* 1/4 (pow r 2)) (* 3/2 (/ 1 (pow w 2))))) |
(+.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) r) r (*.f64 (/.f64 (*.f64 r r) v) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)))) v) (-.f64 (/.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 3/2 binary64)) w) w) (*.f64 #s(literal 1/4 binary64) (*.f64 r r)))) |
(* -1/4 (pow r 2)) |
(*.f64 #s(literal -1/4 binary64) (*.f64 r r)) |
(+ (* -1/4 (pow r 2)) (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v))) |
(*.f64 (*.f64 r r) (-.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/4 binary64))) |
(+ (* -1 (/ (+ (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2)))) (* 1/8 (/ (- (* 2 (pow r 2)) (* 3 (pow r 2))) v))) v)) (* -1/4 (pow r 2))) |
(fma.f64 (/.f64 (*.f64 r r) v) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)) (*.f64 #s(literal -1/4 binary64) (*.f64 r r))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (- (* 2 (pow r 2)) (* 3 (pow r 2)))) (* 1/8 (/ (- (* 3 (pow r 2)) (* 2 (pow r 2))) v))) v)) (* -1/8 (- (* 3 (pow r 2)) (* 2 (pow r 2))))) v)) (* -1/4 (pow r 2))) |
(fma.f64 (*.f64 #s(literal -1/4 binary64) r) r (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) r) r (*.f64 (/.f64 (*.f64 r r) v) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)))) v)) |
(* -1/8 v) |
(*.f64 v #s(literal -1/8 binary64)) |
(* -1 (* v (+ 1/8 (* 3/8 (/ 1 v))))) |
(fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) |
(* -1 (* v (+ 1/8 (* 3/8 (/ 1 v))))) |
(fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) |
(* -1 (* v (+ 1/8 (* 3/8 (/ 1 v))))) |
(fma.f64 v #s(literal -1/8 binary64) #s(literal -3/8 binary64)) |
(- (* 2 (/ 1 (pow r 2))) (+ 3/2 (* 1/4 (* (pow r 2) (pow w 2))))) |
(-.f64 (/.f64 (/.f64 #s(literal 2 binary64) 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 (/.f64 (/.f64 #s(literal 2 binary64) r) r) (fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (-.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)) (* 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 (/.f64 #s(literal 2 binary64) 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 (fma.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) w) w (*.f64 (*.f64 (/.f64 (*.f64 w w) v) (*.f64 r r)) (+.f64 (/.f64 #s(literal 1/8 binary64) v) #s(literal 1/8 binary64)))) v) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64))) |
(* -1/8 (* (pow r 2) (* v (pow w 2)))) |
(*.f64 (*.f64 v (*.f64 (*.f64 w w) #s(literal -1/8 binary64))) (*.f64 r r)) |
(* -1 (* v (+ (* -1 (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2)))))) |
(*.f64 (neg.f64 v) (fma.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) w) w (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 3/2 binary64))) (neg.f64 v)))) |
(* -1 (* v (+ (* -1 (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2)))))) |
(*.f64 (neg.f64 v) (fma.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) w) w (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 3/2 binary64))) (neg.f64 v)))) |
(* -1 (* v (+ (* -1 (/ (- (+ (* -3/8 (* (pow r 2) (pow w 2))) (* 2 (/ 1 (pow r 2)))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2)))))) |
(*.f64 (neg.f64 v) (fma.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) w) w (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r (-.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) r) #s(literal 3/2 binary64))) (neg.f64 v)))) |
(* -1/8 (* (pow r 2) (* v (pow w 2)))) |
(*.f64 (*.f64 v (*.f64 (*.f64 w w) #s(literal -1/8 binary64))) (*.f64 r r)) |
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal -3/2 binary64) v)) v) |
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal -3/2 binary64) v)) v) |
(* -1 (* v (+ (* -1 (/ (- (* -3/8 (* (pow r 2) (pow w 2))) 3/2) v)) (* 1/8 (* (pow r 2) (pow w 2)))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 r r) w) w) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v)) (/.f64 #s(literal -3/2 binary64) v)) v) |
(* -1/8 (* (pow r 2) v)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) v) |
(* -1 (* v (+ (* 1/8 (pow r 2)) (* 3/8 (/ (pow r 2) v))))) |
(*.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v))) v) |
(* -1 (* v (+ (* 1/8 (pow r 2)) (* 3/8 (/ (pow r 2) v))))) |
(*.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v))) v) |
(* -1 (* v (+ (* 1/8 (pow r 2)) (* 3/8 (/ (pow r 2) v))))) |
(*.f64 (*.f64 (*.f64 r r) (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal -3/8 binary64) v))) v) |
| 4 470× | lower-*.f32 |
| 4 450× | lower-*.f64 |
| 3 856× | lower-fma.f32 |
| 3 850× | lower-fma.f64 |
| 3 284× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 548 |
| 0 | 99 | 544 |
| 1 | 467 | 510 |
| 2 | 4277 | 510 |
| 0 | 8101 | 477 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.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 r w) r) w) (+.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))) (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 binary64)))) |
(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 binary64))) |
(*.f64 (*.f64 (*.f64 r w) r) w) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
#s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)) |
(/.f64 (/.f64 #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) (/.f64 (/.f64 #s(literal 2 binary64) r) r)) |
(/.f64 #s(literal 2 binary64) r) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) (*.f64 w w))) |
(*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) (*.f64 w w)) |
#s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) |
#s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))) |
(-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))) |
(*.f64 (*.f64 w w) r) |
(*.f64 (*.f64 (*.f64 w w) r) r) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) #s(literal -3/8 binary64) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64)))) #s(literal 2 binary64)) #s(literal 81/4 binary64)) (pow.f64 (+.f64 #s(literal 9/2 binary64) #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (fma.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) #s(literal -3/8 binary64) (fma.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64) #s(literal 3 binary64))))) #s(literal -1 binary64))) |
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(*.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 w r) #s(literal 4 binary64)) #s(literal -9/4 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 3/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 w r) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 3 binary64)) #s(literal -27/8 binary64)) (pow.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 w r) #s(literal 4 binary64)) #s(literal 9/4 binary64)) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 3/2 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 w r) #s(literal 4 binary64)) #s(literal -9/4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 w r) #s(literal 4 binary64)) #s(literal 9/4 binary64)) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) (fma.f64 (pow.f64 (*.f64 w r) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 3 binary64)) #s(literal -27/8 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 9/4 binary64) (*.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 w r) #s(literal 4 binary64)))) (-.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 w r) #s(literal 4 binary64)) #s(literal -9/4 binary64))) (neg.f64 (fma.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 3/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 w r) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 3 binary64)) #s(literal -27/8 binary64))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 w r) #s(literal 4 binary64)) #s(literal 9/4 binary64)) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 w r) #s(literal 4 binary64)) #s(literal -9/4 binary64)) (fma.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 3/2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 w r) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 3 binary64)) #s(literal -27/8 binary64)) (+.f64 #s(literal 9/4 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 w r) #s(literal 4 binary64))) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 w r) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 3 binary64)) #s(literal -27/8 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 w r) #s(literal 4 binary64)) #s(literal 9/4 binary64)) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal -3/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 3/2 binary64)) (fma.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 w r) #s(literal 4 binary64)) #s(literal -9/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 w r) #s(literal 4 binary64)) #s(literal 9/4 binary64)) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal -3/2 binary64)))) (fma.f64 (pow.f64 (*.f64 w r) #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 3 binary64)) #s(literal -27/8 binary64)))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 (*.f64 w w) r)) r #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 w w)) (*.f64 r r) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) (*.f64 (*.f64 w w) r) #s(literal -3/2 binary64)) |
(fma.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 (*.f64 w w) r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) #s(literal -3/2 binary64)) |
(fma.f64 (*.f64 w w) (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) r) #s(literal -3/2 binary64)) |
(fma.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (pow.f64 (*.f64 w r) #s(literal 2 binary64)) #s(literal -3/2 binary64)) |
(fma.f64 w (*.f64 (*.f64 w r) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)) #s(literal -3/2 binary64)) |
(fma.f64 r (*.f64 (*.f64 (*.f64 w w) r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))) #s(literal -3/2 binary64)) |
(fma.f64 r (*.f64 (*.f64 w w) (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)) #s(literal -3/2 binary64)) |
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 w r) #s(literal 4 binary64))) (fma.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 3/2 binary64))) (/.f64 #s(literal 9/4 binary64) (fma.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) #s(literal 3/2 binary64)))) |
(+.f64 (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))) #s(literal -3/2 binary64)) |
(+.f64 #s(literal -3/2 binary64) (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)))) |
(*.f64 (pow.f64 (/.f64 r #s(literal -2 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 r) #s(literal -1 binary64))) |
(*.f64 (pow.f64 r #s(literal -2 binary64)) #s(literal 2 binary64)) |
(*.f64 (pow.f64 r #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) r)) |
(*.f64 (/.f64 #s(literal -2 binary64) r) (pow.f64 (neg.f64 r) #s(literal -1 binary64))) |
(*.f64 #s(literal -2 binary64) (pow.f64 (*.f64 (neg.f64 r) r) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) r) (pow.f64 r #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) |
(*.f64 #s(literal 2 binary64) (pow.f64 r #s(literal -2 binary64))) |
(pow.f64 (/.f64 (*.f64 (*.f64 r #s(literal 1/2 binary64)) r) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 r #s(literal 1/2 binary64)) r) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) r) #s(literal 1 binary64)) r) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 r #s(literal 1/2 binary64)) r))) |
(/.f64 (pow.f64 r #s(literal -1 binary64)) (*.f64 r #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal -2 binary64) r) (neg.f64 r)) |
(/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 r) r)) |
(/.f64 (/.f64 #s(literal 2 binary64) r) (neg.f64 (neg.f64 r))) |
(/.f64 (/.f64 #s(literal 2 binary64) r) r) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 r #s(literal 1/2 binary64)) r) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 r #s(literal 1/2 binary64)) r)) |
(/.f64 #s(literal 2 binary64) (neg.f64 (*.f64 (neg.f64 r) r))) |
(/.f64 #s(literal 2 binary64) (*.f64 r r)) |
(neg.f64 (/.f64 (/.f64 #s(literal -2 binary64) r) r)) |
(neg.f64 (/.f64 #s(literal -2 binary64) (*.f64 r r))) |
(neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) r) (neg.f64 r))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 r #s(literal 1/2 binary64)) r)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) r) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 r r)) |
(*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))) |
(*.f64 r (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r)) |
(/.f64 (*.f64 (fma.f64 #s(literal 1/64 binary64) (*.f64 v v) #s(literal -9/64 binary64)) (*.f64 r r)) (fma.f64 #s(literal -1/8 binary64) v #s(literal 3/8 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 v #s(literal 3 binary64)) #s(literal -27/512 binary64)) (*.f64 r r)) (fma.f64 #s(literal 1/64 binary64) (*.f64 v v) (fma.f64 v #s(literal -3/64 binary64) #s(literal 9/64 binary64)))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 v #s(literal 3 binary64)) #s(literal -27/512 binary64)) (*.f64 r r)) (fma.f64 #s(literal 1/64 binary64) (*.f64 v v) (-.f64 #s(literal 9/64 binary64) (*.f64 v #s(literal 3/64 binary64))))) |
(/.f64 (*.f64 (*.f64 r r) (fma.f64 #s(literal 1/64 binary64) (*.f64 v v) #s(literal -9/64 binary64))) (fma.f64 #s(literal -1/8 binary64) v #s(literal 3/8 binary64))) |
(/.f64 (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/512 binary64) (pow.f64 v #s(literal 3 binary64)) #s(literal -27/512 binary64))) (fma.f64 #s(literal 1/64 binary64) (*.f64 v v) (fma.f64 v #s(literal -3/64 binary64) #s(literal 9/64 binary64)))) |
(/.f64 (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/512 binary64) (pow.f64 v #s(literal 3 binary64)) #s(literal -27/512 binary64))) (fma.f64 #s(literal 1/64 binary64) (*.f64 v v) (-.f64 #s(literal 9/64 binary64) (*.f64 v #s(literal 3/64 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) v) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) v) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 r r) v) #s(literal 3 binary64)) #s(literal -1/512 binary64) (*.f64 (pow.f64 r #s(literal 6 binary64)) #s(literal -27/512 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) v) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) v) (*.f64 (*.f64 r r) #s(literal -3/8 binary64)))))) |
(fma.f64 (*.f64 (*.f64 r r) v) #s(literal -1/8 binary64) (*.f64 (*.f64 r r) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) v) r) r (*.f64 (*.f64 r r) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) r) r (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) v)) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) v) (*.f64 r r) (*.f64 (*.f64 r r) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) v (*.f64 (*.f64 r r) #s(literal -3/8 binary64))) |
(fma.f64 #s(literal -1/8 binary64) (*.f64 v (*.f64 r r)) (*.f64 (*.f64 r r) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 r r) (*.f64 #s(literal -1/8 binary64) v) (*.f64 (*.f64 r r) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 r r) #s(literal -3/8 binary64) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) v)) |
(fma.f64 #s(literal -3/8 binary64) (*.f64 r r) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) v)) |
(fma.f64 v (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) (*.f64 (*.f64 r r) #s(literal -3/8 binary64))) |
(fma.f64 r (*.f64 r (*.f64 #s(literal -1/8 binary64) v)) (*.f64 (*.f64 r r) #s(literal -3/8 binary64))) |
(fma.f64 r (*.f64 r #s(literal -3/8 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) v)) |
(+.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) v) (*.f64 (*.f64 r r) #s(literal -3/8 binary64))) |
(+.f64 (*.f64 (*.f64 r r) #s(literal -3/8 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 r r)) v)) |
(*.f64 (*.f64 w w) r) |
(*.f64 (*.f64 w r) w) |
(*.f64 w (*.f64 w r)) |
(*.f64 r (*.f64 w w)) |
(*.f64 (*.f64 (*.f64 w w) r) r) |
(*.f64 (*.f64 w w) (*.f64 r r)) |
(*.f64 (*.f64 r r) (*.f64 w w)) |
(*.f64 (*.f64 (*.f64 w r) r) w) |
(*.f64 (*.f64 w r) (*.f64 w r)) |
(*.f64 w (*.f64 (*.f64 w r) r)) |
(*.f64 r (*.f64 (*.f64 w w) r)) |
(pow.f64 (*.f64 w r) #s(literal 2 binary64)) |
(exp.f64 (fma.f64 (log.f64 w) #s(literal 2 binary64) (*.f64 (log.f64 r) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 r) #s(literal 2 binary64) (*.f64 (log.f64 w) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 w r)) #s(literal 2 binary64))) |
Compiled 21 606 to 1 781 computations (91.8% saved)
28 alts after pruning (22 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 896 | 3 | 899 |
| Fresh | 1 | 19 | 20 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 3 | 4 |
| Total | 900 | 28 | 928 |
| Status | Accuracy | Program |
|---|---|---|
| 87.2% | (-.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)) | |
| 49.1% | (-.f64 (-.f64 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) #s(literal 9/2 binary64)) | |
| 49.2% | (-.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)) | |
| ✓ | 92.0% | (-.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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
| 51.1% | (-.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)) | |
| 45.0% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) w) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) | |
| 44.9% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 r w)) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) | |
| 39.6% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 w (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) | |
| 33.4% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) | |
| 35.9% | (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* r w) r) w)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r))) #s(literal 9/2 binary64)) | |
| 67.6% | #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) #s(approx (- (/ 2 (* r r)) 3/2) (/.f64 #s(literal 2 binary64) (*.f64 r r))))) | |
| 40.9% | #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) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64)))) | |
| 88.2% | #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 r w) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) | |
| ✓ | 48.7% | #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) r) r)) |
| ✓ | 48.7% | #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))) |
| ✓ | 59.6% | #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))) |
| 78.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 (*.f64 w w) r)) r #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) | |
| 48.8% | #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))) | |
| 23.6% | #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)) #s(approx (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w))) (/.f64 #s(literal 3/2 binary64) (*.f64 w w)))) (*.f64 w w))) | |
| 28.7% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) r) r))) w) w)) | |
| 32.0% | #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 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 w (-.f64 #s(literal 1 binary64) v)))))) | |
| ✓ | 33.3% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 w w))) |
| 27.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(approx (/ (+ (* v -2) 3) (- 1 v)) (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) v) v #s(literal 1 binary64)) v #s(literal 3 binary64))))) (*.f64 w w))) | |
| 31.1% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(approx (/ (+ (* v -2) 3) (- 1 v)) (fma.f64 (+.f64 #s(literal 1 binary64) v) v #s(literal 3 binary64))))) (*.f64 w w))) | |
| 29.4% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))) (*.f64 w w))) | |
| 31.5% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -3/8 binary64) (*.f64 r r)))) (*.f64 w w))) | |
| ✓ | 11.8% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
| 31.6% | #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) |
Compiled 1 590 to 667 computations (58.1% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #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 #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 #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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -3/8 binary64) (*.f64 r r)))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))) (*.f64 w w))) |
#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) #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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* r w) r) w)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) #s(literal -3/8 binary64)) r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 w (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 r w)) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) w) 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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) 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 (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) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(approx (/ (+ (* v -2) 3) (- 1 v)) (fma.f64 (+.f64 #s(literal 1 binary64) v) v #s(literal 3 binary64))))) (*.f64 w w))) |
#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) #s(approx (- (/ 2 (* r r)) 3/2) (/.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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(approx (/ (+ (* v -2) 3) (- 1 v)) (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) v) v #s(literal 1 binary64)) v #s(literal 3 binary64))))) (*.f64 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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) 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) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) 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 (*.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 r w) w) 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 #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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 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 r w) w) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 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)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (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)))) #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(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 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 -1/8 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 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 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) 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) (+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 (*.f64 w w) r)) r #s(literal -3/2 binary64)) (/.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) (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))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.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 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.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 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) #s(approx (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w))) (/.f64 #s(literal 3/2 binary64) (*.f64 w w)))) (*.f64 w w))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w 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 (*.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 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w)) r)) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 #s(approx (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) (*.f64 w w)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (-.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 (*.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 (*.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 (*.f64 (*.f64 w r) w) 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)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (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))))) #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 (/.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 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 w w)) #s(literal -1 binary64)) (/.f64 (*.f64 r 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)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) v))) #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 #s(literal 27 binary64) (pow.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (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))) (+.f64 #s(literal 9 binary64) (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (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)) (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 3 binary64) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (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:
| 47.0ms | (-.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)) |
| 41.0ms | (*.f64 w w) |
| 19.0ms | w |
| 19.0ms | r |
| 19.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | v |
| 99.5% | 1 | w |
| 99.5% | 1 | r |
| 99.5% | 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)) |
| 99.5% | 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))) |
| 99.5% | 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) #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 #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 #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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -3/8 binary64) (*.f64 r r)))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))) (*.f64 w w))) |
#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) #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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* r w) r) w)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) #s(literal -3/8 binary64)) r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 w (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 r w)) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) w) 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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) 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 (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) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(approx (/ (+ (* v -2) 3) (- 1 v)) (fma.f64 (+.f64 #s(literal 1 binary64) v) v #s(literal 3 binary64))))) (*.f64 w w))) |
#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) #s(approx (- (/ 2 (* r r)) 3/2) (/.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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(approx (/ (+ (* v -2) 3) (- 1 v)) (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) v) v #s(literal 1 binary64)) v #s(literal 3 binary64))))) (*.f64 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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) 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) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) 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 (*.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 r w) w) 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 #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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 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 r w) w) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 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)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (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)))) #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(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 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 -1/8 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 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 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) 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) (+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 (*.f64 w w) r)) r #s(literal -3/2 binary64)) (/.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) (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))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.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 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.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 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) #s(approx (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w))) (/.f64 #s(literal 3/2 binary64) (*.f64 w w)))) (*.f64 w w))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w 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 (*.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 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w)) r)) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 #s(approx (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) (*.f64 w w)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (-.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 (*.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 (*.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 (*.f64 (*.f64 w r) w) 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)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (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))))) #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 (/.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 (fma.f64 (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64)) (*.f64 w w)) #s(literal -1 binary64)) (/.f64 (*.f64 r 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)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (/.f64 (*.f64 (pow.f64 (*.f64 w r) #s(literal 2 binary64)) (*.f64 (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)) #s(literal 1/8 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 v v))) (+.f64 #s(literal 1 binary64) v))) #s(literal 9/2 binary64)) |
| Outputs |
|---|
(+.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)))) |
6 calls:
| 327.0ms | (*.f64 w w) |
| 40.0ms | r |
| 23.0ms | v |
| 19.0ms | (-.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 | w |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | v |
| 99.5% | 1 | w |
| 99.5% | 1 | r |
| 99.5% | 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)) |
| 99.5% | 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))) |
| 99.5% | 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) #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 #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 #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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -3/8 binary64) (*.f64 r r)))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))) (*.f64 w w))) |
#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) #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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* r w) r) w)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) #s(literal -3/8 binary64)) r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 w (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 r w)) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) w) 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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) 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 (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) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(approx (/ (+ (* v -2) 3) (- 1 v)) (fma.f64 (+.f64 #s(literal 1 binary64) v) v #s(literal 3 binary64))))) (*.f64 w w))) |
#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) #s(approx (- (/ 2 (* r r)) 3/2) (/.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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(approx (/ (+ (* v -2) 3) (- 1 v)) (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) v) v #s(literal 1 binary64)) v #s(literal 3 binary64))))) (*.f64 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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) 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) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) 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 (*.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 r w) w) 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 #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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 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 r w) w) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 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)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (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)))) #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(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 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 -1/8 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 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 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) 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) (+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 (*.f64 w w) r)) r #s(literal -3/2 binary64)) (/.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) (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))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.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 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.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 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) #s(approx (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w))) (/.f64 #s(literal 3/2 binary64) (*.f64 w w)))) (*.f64 w w))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w 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 (*.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 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w)) r)) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r w))))) #s(literal 9/2 binary64)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 #s(approx (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 r r)) (*.f64 w w)) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64)))) (-.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 (*.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 (*.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 (*.f64 (*.f64 w r) w) 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)) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (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))))) #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))) |
| Outputs |
|---|
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r 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 (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:
| 21.0ms | (*.f64 w w) |
| 18.0ms | v |
| 17.0ms | r |
| 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 | (-.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 |
|---|---|---|
| 97.0% | 1 | v |
| 99.1% | 2 | w |
| 99.1% | 2 | r |
| 97.0% | 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)) |
| 97.0% | 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))) |
| 99.1% | 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) #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 #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 #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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -3/8 binary64) (*.f64 r r)))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))) (*.f64 w w))) |
#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) #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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* r w) r) w)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) #s(literal -3/8 binary64)) r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 w (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 r w)) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) w) 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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) 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 (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) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(approx (/ (+ (* v -2) 3) (- 1 v)) (fma.f64 (+.f64 #s(literal 1 binary64) v) v #s(literal 3 binary64))))) (*.f64 w w))) |
#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) #s(approx (- (/ 2 (* r r)) 3/2) (/.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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(approx (/ (+ (* v -2) 3) (- 1 v)) (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) v) v #s(literal 1 binary64)) v #s(literal 3 binary64))))) (*.f64 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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) 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) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) 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 (*.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 r w) w) 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 #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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 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 r w) w) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 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)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (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)))) #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(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 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 -1/8 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 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 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) 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) (+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 (*.f64 w w) r)) r #s(literal -3/2 binary64)) (/.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) (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))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.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 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.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 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) #s(approx (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w))) (/.f64 #s(literal 3/2 binary64) (*.f64 w w)))) (*.f64 w w))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w 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 (*.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 (*.f64 w (*.f64 #s(literal 1/8 binary64) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) w)) 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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #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)) |
6 calls:
| 43.0ms | (-.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 | r |
| 15.0ms | w |
| 14.0ms | (*.f64 w w) |
| 13.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.5% | 2 | v |
| 98.1% | 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)) |
| 98.1% | 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))) |
| 98.4% | 2 | w |
| 98.4% | 2 | (*.f64 w w) |
| 98.4% | 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) #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 #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 #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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -3/8 binary64) (*.f64 r r)))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))) (*.f64 w w))) |
#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) #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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* r w) r) w)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) #s(literal -3/8 binary64)) r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 w (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 r w)) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) w) 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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) 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 (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) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(approx (/ (+ (* v -2) 3) (- 1 v)) (fma.f64 (+.f64 #s(literal 1 binary64) v) v #s(literal 3 binary64))))) (*.f64 w w))) |
#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) #s(approx (- (/ 2 (* r r)) 3/2) (/.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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(approx (/ (+ (* v -2) 3) (- 1 v)) (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) v) v #s(literal 1 binary64)) v #s(literal 3 binary64))))) (*.f64 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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) 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) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) 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 (*.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 r w) w) 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 #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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 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 r w) w) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 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)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (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)))) #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(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 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 -1/8 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 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 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) 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) (+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 (*.f64 w w) r)) r #s(literal -3/2 binary64)) (/.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) (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))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
(-.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 #s(approx (+ 3 (/ 2 (* r r))) #s(literal 3 binary64)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.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 (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 (*.f64 w w) r) r)) #s(approx (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w))) (/.f64 #s(literal 3/2 binary64) (*.f64 w w)))) (*.f64 w w))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (/.f64 (*.f64 #s(approx (* 1/8 (- 3 (* 2 v))) (fma.f64 #s(literal -1/4 binary64) v #s(literal 3/8 binary64))) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #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)) (fma.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) w) 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)) |
3 calls:
| 19.0ms | r |
| 16.0ms | (*.f64 w w) |
| 12.0ms | w |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.8% | 2 | w |
| 95.8% | 2 | (*.f64 w w) |
| 97.7% | 2 | r |
Compiled 5 to 10 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #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 #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 #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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -3/8 binary64) (*.f64 r r)))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))) (*.f64 w w))) |
#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) #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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* r w) r) w)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) #s(literal -3/8 binary64)) r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 w (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 r w)) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) w) 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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) 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 (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) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(approx (/ (+ (* v -2) 3) (- 1 v)) (fma.f64 (+.f64 #s(literal 1 binary64) v) v #s(literal 3 binary64))))) (*.f64 w w))) |
#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) #s(approx (- (/ 2 (* r r)) 3/2) (/.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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(approx (/ (+ (* v -2) 3) (- 1 v)) (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) v) v #s(literal 1 binary64)) v #s(literal 3 binary64))))) (*.f64 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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) 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) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) 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 (*.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 r w) w) 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 #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 r w) r) w) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 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 r w) w) r) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 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)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) (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)))) #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(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) (/.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (-.f64 #s(literal 1 binary64) v)))) (*.f64 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 -1/8 binary64) (*.f64 r r)) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 w (/.f64 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 #s(literal -2 binary64) v #s(literal 3 binary64)) w) w) (-.f64 #s(literal 1 binary64) v)))) |
(-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) #s(approx (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v)) (*.f64 #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 w w) 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) (+.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) (*.f64 (*.f64 w w) r)) r #s(literal -3/2 binary64)) (/.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) (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))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (+.f64 (fma.f64 (*.f64 (*.f64 (*.f64 w w) r) r) (-.f64 (*.f64 v #s(literal -1/8 binary64)) #s(literal 3/8 binary64)) #s(literal -3/2 binary64)) (/.f64 #s(literal 2 binary64) (*.f64 r r)))) |
| Outputs |
|---|
(-.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 r w) r) w) (+.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) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
6 calls:
| 17.0ms | (-.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)) |
| 17.0ms | r |
| 15.0ms | v |
| 11.0ms | w |
| 10.0ms | (*.f64 w w) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.5% | 2 | v |
| 94.4% | 2 | w |
| 94.4% | 2 | (*.f64 w w) |
| 92.0% | 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)) |
| 92.0% | 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))) |
| 94.1% | 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) #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 #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 #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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -3/8 binary64) (*.f64 r r)))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))) (*.f64 w w))) |
#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) #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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* r w) r) w)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) #s(literal -3/8 binary64)) r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 w (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 r w)) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) w) 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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) 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 (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) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(approx (/ (+ (* v -2) 3) (- 1 v)) (fma.f64 (+.f64 #s(literal 1 binary64) v) v #s(literal 3 binary64))))) (*.f64 w w))) |
#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) #s(approx (- (/ 2 (* r r)) 3/2) (/.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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(approx (/ (+ (* v -2) 3) (- 1 v)) (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) v) v #s(literal 1 binary64)) v #s(literal 3 binary64))))) (*.f64 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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) 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) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) 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 (*.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 r w) w) 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)))) |
| 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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) 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 (*.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 r w) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))) |
4 calls:
| 11.0ms | (*.f64 w w) |
| 8.0ms | w |
| 8.0ms | v |
| 8.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.6% | 3 | r |
| 93.7% | 2 | w |
| 93.7% | 2 | (*.f64 w w) |
| 93.4% | 3 | 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) #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 #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 #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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -3/8 binary64) (*.f64 r r)))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))) (*.f64 w w))) |
#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) #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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* r w) r) w)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) #s(literal -3/8 binary64)) r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 w (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 r w)) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) w) 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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) 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 (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) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(approx (/ (+ (* v -2) 3) (- 1 v)) (fma.f64 (+.f64 #s(literal 1 binary64) v) v #s(literal 3 binary64))))) (*.f64 w w))) |
#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) #s(approx (- (/ 2 (* r r)) 3/2) (/.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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(approx (/ (+ (* v -2) 3) (- 1 v)) (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) v) v #s(literal 1 binary64)) v #s(literal 3 binary64))))) (*.f64 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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) 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) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) 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 (*.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) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) (fma.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 r w)) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
1 calls:
| 10.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.8% | 2 | r |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #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 #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 #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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -3/8 binary64) (*.f64 r r)))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))) (*.f64 w w))) |
#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) #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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* r w) r) w)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) #s(literal -3/8 binary64)) r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 w (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 r w)) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) w) 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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) 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 (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) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(approx (/ (+ (* v -2) 3) (- 1 v)) (fma.f64 (+.f64 #s(literal 1 binary64) v) v #s(literal 3 binary64))))) (*.f64 w w))) |
#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) #s(approx (- (/ 2 (* r r)) 3/2) (/.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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(approx (/ (+ (* v -2) 3) (- 1 v)) (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) v) v #s(literal 1 binary64)) v #s(literal 3 binary64))))) (*.f64 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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) 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) (-.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)))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 r w)) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
1 calls:
| 7.0ms | r |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.8% | 2 | r |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #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 #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 #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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -3/8 binary64) (*.f64 r r)))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))) (*.f64 w w))) |
#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) #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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* r w) r) w)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) #s(literal -3/8 binary64)) r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 w (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 r w)) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) w) 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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 r r) (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64))))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) v #s(literal -3/8 binary64)) 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 (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) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(approx (/ (+ (* v -2) 3) (- 1 v)) (fma.f64 (+.f64 #s(literal 1 binary64) v) v #s(literal 3 binary64))))) (*.f64 w w))) |
#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) #s(approx (- (/ 2 (* r r)) 3/2) (/.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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) (*.f64 (*.f64 (*.f64 r r) #s(literal -1/8 binary64)) #s(approx (/ (+ (* v -2) 3) (- 1 v)) (fma.f64 (fma.f64 (+.f64 #s(literal 1 binary64) v) v #s(literal 1 binary64)) v #s(literal 3 binary64))))) (*.f64 w w))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) w) 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 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
5 calls:
| 32.0ms | (*.f64 w w) |
| 7.0ms | w |
| 7.0ms | r |
| 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))) |
| 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 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)) |
| 94.2% | 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))) |
| 81.4% | 3 | w |
| 82.8% | 4 | (*.f64 w w) |
| 91.4% | 3 | r |
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) #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 #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 #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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -3/8 binary64) (*.f64 r r)))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))) (*.f64 w w))) |
#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) #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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* r w) r) w)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) #s(literal -3/8 binary64)) r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 w (*.f64 r r)) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 r w)) r #s(literal 3 binary64)))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r #s(literal 3 binary64)))) #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) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 r w)) 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 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
2 calls:
| 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))) |
| 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.2% | 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)) |
| 94.2% | 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))) |
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) #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 #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 #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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -3/8 binary64) (*.f64 r r)))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))) (*.f64 w w))) |
#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) #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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* r w) r) w)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) r) r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 r r)) w) w))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 (*.f64 w w) r) #s(literal -3/8 binary64)) r))) #s(literal 9/2 binary64)) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 w (*.f64 r r)) #s(literal 3 binary64)))) #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) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) |
(-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* r w) r) w)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) 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) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))) |
3 calls:
| 4.0ms | v |
| 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 |
|---|---|---|
| 63.7% | 3 | v |
| 93.2% | 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)) |
| 93.2% | 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))) |
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) #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 #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 #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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -3/8 binary64) (*.f64 r r)))) (*.f64 w w))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -1/4 binary64) (*.f64 r r)))) (*.f64 w w))) |
#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) #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)) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 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 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -3/8 binary64) (*.f64 r r)))) (*.f64 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))) |
3 calls:
| 3.0ms | r |
| 3.0ms | (-.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))) |
| 3.0ms | (-.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 |
|---|---|---|
| 86.9% | 2 | r |
| 90.2% | 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)) |
| 90.2% | 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))) |
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) #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 #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 #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 (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) |
| Outputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 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))) |
2 calls:
| 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 |
|---|---|---|
| 87.8% | 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)) |
| 87.8% | 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) #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 #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 #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 | (-.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))) |
| 2.0ms | 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)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.6% | 1 | v |
| 59.6% | 1 | (*.f64 w w) |
| 59.6% | 1 | w |
| 59.6% | 1 | r |
| 59.6% | 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)) |
| 59.6% | 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)
| Inputs |
|---|
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #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 #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))) |
#s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
6 calls:
| 4.0ms | (*.f64 w w) |
| 2.0ms | w |
| 2.0ms | v |
| 2.0ms | r |
| 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 |
|---|---|---|
| 58.5% | 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)) |
| 58.5% | 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))) |
| 59.1% | 2 | r |
| 48.7% | 1 | v |
| 48.7% | 1 | w |
| 48.7% | 1 | (*.f64 w w) |
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) #s(approx (- (/ 2 (* r r)) 3/2) #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 (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
6 calls:
| 3.0ms | (*.f64 w 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))) |
| 1.0ms | v |
| Accuracy | Segments | Branch |
|---|---|---|
| 11.8% | 1 | v |
| 11.8% | 1 | w |
| 11.8% | 1 | (*.f64 w w) |
| 11.8% | 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)) |
| 11.8% | 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))) |
| 11.8% | 1 | r |
Compiled 62 to 55 computations (11.3% saved)
| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 3.158096682403963e+58 | 4.9887310777888726e+58 |
| 5.0ms | 48× | 0 | valid |
Compiled 200 to 166 computations (17% saved)
ival-mult: 2.0ms (55.9% of total)ival-div: 1.0ms (28% of total)ival-sub: 1.0ms (28% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 5.460553911287582e-68 | 2.000854799358062e-66 |
| 12.0ms | 112× | 0 | valid |
Compiled 347 to 287 computations (17.3% saved)
ival-mult: 4.0ms (43.9% of total)ival-sub: 3.0ms (33% of total)ival-div: 1.0ms (11% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 1965643737.7630687 | 2804569789126.617 |
| 7.0ms | 64× | 0 | valid |
Compiled 192 to 164 computations (14.6% saved)
ival-mult: 3.0ms (62.1% of total)ival-div: 1.0ms (20.7% of total)ival-sub: 1.0ms (20.7% of total)ival-true: 0.0ms (0% of total)ival-add: 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 |
|---|---|---|
| 18.0ms | 1.4493525755249535e-23 | 5.933525071428431e-20 |
| 13.0ms | 128× | 0 | valid |
Compiled 320 to 284 computations (11.3% saved)
ival-mult: 5.0ms (52.3% of total)ival-div: 2.0ms (20.9% of total)ival-sub: 2.0ms (20.9% of total)ival-add: 1.0ms (10.5% 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 | 1.6501819456906548e+203 | 2.0028270294319372e+203 |
| 16.0ms | 5.9528619687416735e-33 | 9.851670947838769e-32 |
| 15.0ms | 144× | 0 | valid |
Compiled 338 to 291 computations (13.9% saved)
ival-mult: 6.0ms (55.1% of total)ival-div: 2.0ms (18.4% of total)ival-sub: 2.0ms (18.4% of total)ival-add: 1.0ms (9.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.158096682403963e+58 | 4.9887310777888726e+58 |
Compiled 63 to 56 computations (11.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 2804569789126.617 | 7187534021276.741 |
| 8.0ms | 80× | 0 | valid |
Compiled 187 to 168 computations (10.2% saved)
ival-mult: 3.0ms (50.1% of total)ival-div: 1.0ms (16.7% of total)ival-sub: 1.0ms (16.7% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0 | 3.000000000000002 |
| 0.0ms | -inf | -5.16223520981e+298 |
Compiled 32 to 28 computations (12.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.0 | 3.000000000000002 |
| 0.0ms | -inf | -5.16223520981e+298 |
Compiled 32 to 28 computations (12.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -91425909.84661298 | 2.9999999839736065 |
| 0.0ms | -inf | -5.16223520981e+298 |
Compiled 32 to 28 computations (12.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -91425909.84661298 | 2.9999999839736065 |
| 0.0ms | -inf | -5.16223520981e+298 |
Compiled 32 to 28 computations (12.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -91425909.84661298 | 2.9999999839736065 |
Compiled 32 to 28 computations (12.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 3.208763588815749e-5 | 2.9572291130298307 |
| 18.0ms | 144× | 0 | valid |
Compiled 113 to 163 computations (-44.2% saved)
ival-mult: 8.0ms (57.7% of total)ival-div: 2.0ms (14.4% of total)ival-sub: 2.0ms (14.4% of total)ival-add: 1.0ms (7.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 486× | unsub-neg-binary64--.f64-neg.f64-+.f64 |
| 298× | neg-mul-1-binary64-*.f64-neg.f64 |
| 152× | *-commutative-binary64-*.f64 |
| 152× | distribute-lft-neg-in-binary64-*.f64-neg.f64 |
| 136× | distribute-rgt-neg-in-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 192 | 1879 |
| 1 | 269 | 1879 |
| 2 | 338 | 1879 |
| 3 | 405 | 1879 |
| 4 | 483 | 1879 |
| 5 | 550 | 1879 |
| 6 | 735 | 1879 |
| 7 | 1083 | 1879 |
| 8 | 1276 | 1879 |
| 9 | 1293 | 1879 |
| 10 | 1294 | 1879 |
| 1× | saturated |
| Inputs |
|---|
(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 #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)))) |
(if (<=.f64 r #s(literal 46000000000000000481702118680263383713828172860310413115392 binary64)) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r 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 (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 4553130216154053/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #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))) |
(if (<=.f64 r #s(literal 2000000000 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)) (fma.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) w) 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))) |
(if (<=.f64 v #s(literal 75288304448755/1298074214633706907132624082305024 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 r w) r) w) (+.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) (fma.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (*.f64 r w) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64))))) |
(if (<=.f64 r #s(literal 4384504911992709/182687704666362864775460604089535377456991567872 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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) (if (<=.f64 r #s(literal 170000000000000005052480238208689776950759122634751661230198836974602567769769381855882124616363688767566814599557884936584756884358892918541277852712286789043523697132020126400569482660033924462490419200 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 r w) w) r) (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3/2 binary64)))))) |
(if (<=.f64 r #s(literal 39999999999999997752477959897654523263188617714052787863552 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)) (fma.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 r w)) r #s(literal 3 binary64)))) #s(literal 9/2 binary64))) |
(if (<=.f64 r #s(literal 3200000000000 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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 r w)) r #s(literal 3 binary64)))) #s(literal 9/2 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 -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) (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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 r (*.f64 #s(literal -3/8 binary64) w)) w) 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 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 -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) (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 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* w w) r) r)) (+ (/ 2 (* r r)) 3)) (fma.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) w) (*.f64 r w)) 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 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 -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) (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 -50000000 binary64)) (-.f64 #s(approx (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) #s(approx (+ (* -3/8 (* (* (* r w) r) w)) (+ (/ 2 (* r r)) 3)) (*.f64 (*.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 w w)) 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) (-.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 -inf.0 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 r r)) w) w))) (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 -50000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) (*.f64 #s(approx (- (/ 2 (* (* (* w w) r) r)) (+ (* (/ (* (* (+ (* -2 v) 3) r) r) (- 1 v)) 1/8) (/ 3/2 (* w w)))) #s(approx (* (* (* r r) -1/8) (/ (+ (* v -2) 3) (- 1 v))) (*.f64 #s(literal -3/8 binary64) (*.f64 r r)))) (*.f64 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 #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 -50000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 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))) |
(if (<=.f64 r #s(literal 2589569785738035/2251799813685248 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))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #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) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 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)))) |
(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 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #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)))) |
(+.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 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) #s(literal 9/2 binary64)))) |
(if (<=.f64 r #s(literal 46000000000000000481702118680263383713828172860310413115392 binary64)) (-.f64 (-.f64 (+.f64 #s(literal 3 binary64) (/.f64 #s(literal 2 binary64) (*.f64 r r))) (*.f64 (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)) (*.f64 (*.f64 w #s(literal 1/8 binary64)) (*.f64 (/.f64 r (-.f64 #s(literal 1 binary64) v)) (*.f64 r 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 (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 46000000000000000481702118680263383713828172860310413115392 binary64)) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 w r) (/.f64 r (-.f64 #s(literal 1 binary64) v))) (*.f64 #s(literal 1/8 binary64) w)) (fma.f64 v #s(literal -2 binary64) #s(literal 3 binary64)))) #s(literal 9/2 binary64)) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))) |
(if (<=.f64 r #s(literal 4553130216154053/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #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))) |
(if (<=.f64 r #s(literal 4553130216154053/15177100720513508366558296147058741458143803430094840009779784451085189728165691392 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)) (fma.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (*.f64 r r)) w) w #s(literal 3/2 binary64)))) (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 r r)) #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal -2 binary64) v #s(literal 3 binary64))) w) (*.f64 w r)) (/.f64 r (-.f64 #s(literal 1 binary64) v)))) #s(literal 9/2 binary64))) |
(if (<=.f64 r #s(literal 2000000000 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)) (fma.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 r r)) w) 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))) |
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(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 -50000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 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 v #s(literal 2 binary64))) #s(literal 1/8 binary64)) (*.f64 (*.f64 (*.f64 w w) r) r)) (-.f64 #s(literal 1 binary64) v))) #s(literal -50000000 binary64)) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #s(approx (+ (* -1/4 (* (* (* w w) r) r)) (- (/ 2 (* r r)) 3/2)) (*.f64 (*.f64 (*.f64 #s(literal -1/4 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))) |
(if (<=.f64 r #s(literal 2589569785738035/2251799813685248 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))) #s(approx (- (- (+ 3 (/ 2 (* r r))) (/ (* (* 1/8 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 9/2) #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) #s(approx (- (/ 2 (* r r)) 3/2) #s(literal -3/2 binary64))) |
| 17 280× | lower-fma.f64 |
| 17 280× | lower-fma.f32 |
| 17 108× | lower-fma.f64 |
| 17 108× | lower-fma.f32 |
| 16 322× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 227 | 4018 |
| 1 | 745 | 3856 |
| 2 | 2583 | 3578 |
| 0 | 8206 | 3390 |
| 0 | 449 | 11928 |
| 1 | 1477 | 11181 |
| 2 | 4956 | 10468 |
| 0 | 8257 | 9764 |
| 0 | 72 | 584 |
| 0 | 105 | 576 |
| 1 | 469 | 538 |
| 2 | 4337 | 538 |
| 0 | 8135 | 509 |
| 0 | 61 | 487 |
| 0 | 99 | 451 |
| 1 | 463 | 444 |
| 2 | 4034 | 444 |
| 0 | 8173 | 434 |
| 0 | 549 | 14074 |
| 1 | 1783 | 12986 |
| 2 | 5889 | 12217 |
| 0 | 8743 | 11464 |
| 0 | 540 | 15633 |
| 1 | 1833 | 14469 |
| 2 | 6238 | 14296 |
| 0 | 8158 | 13353 |
| 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× | 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 |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 499 to 769 computations (48.7% saved)
(abs w)
(abs r)
Compiled 1 972 to 570 computations (71.1% saved)
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